algebra.algebra.basic ⟷ Mathlib.Algebra.Algebra.Basic

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

@@ -4,13 +4,13 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
 -/
 import Algebra.Module.Basic
-import Algebra.Module.Ulift
+import Algebra.Module.ULift
 import Algebra.NeZero
-import Algebra.PunitInstances
+import Algebra.PUnitInstances
 import Algebra.Ring.Aut
-import Algebra.Ring.Ulift
+import Algebra.Ring.ULift
 import Algebra.CharZero.Lemmas
-import LinearAlgebra.Basic
+import Algebra.Module.Submodule.Ker
 import RingTheory.Subring.Basic
 import Tactic.Abel
 
@@ -105,7 +105,7 @@ open scoped BigOperators
 
 section Prio
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:339:40: warning: unsupported option extends_priority -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:340:40: warning: unsupported option extends_priority -/
 -- We set this priority to 0 later in this file
 set_option extends_priority 200
 
@@ -719,7 +719,7 @@ theorem mul_sub_algebraMap_pow_commutes [Ring A] [Algebra R A] (x : A) (r : R) (
   by
   induction' n with n ih
   · simp
-  · rw [pow_succ, ← mul_assoc, mul_sub_algebra_map_commutes, mul_assoc, ih, ← mul_assoc]
+  · rw [pow_succ', ← mul_assoc, mul_sub_algebra_map_commutes, mul_assoc, ih, ← mul_assoc]
 #align algebra.mul_sub_algebra_map_pow_commutes Algebra.mul_sub_algebraMap_pow_commutes
 -/
 

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

@@ -380,7 +380,7 @@ theorem algebra_ext {R : Type _} [CommSemiring R] {A : Type _} [Semiring A] (P Q
   congr
   · funext r a
     replace w := congr_arg (fun s => s * a) (w r)
-    simp only [← smul_def''] at w 
+    simp only [← smul_def''] at w
     apply w
   · ext r
     exact w r
@@ -1096,7 +1096,7 @@ theorem NoZeroSMulDivisors.trans (R A M : Type _) [CommRing R] [Ring A] [IsDomai
     [NoZeroSMulDivisors A M] : NoZeroSMulDivisors R M :=
   by
   refine' ⟨fun r m h => _⟩
-  rw [algebra_compatible_smul A r m] at h 
+  rw [algebra_compatible_smul A r m] at h
   cases' smul_eq_zero.1 h with H H
   · have : Function.Injective (algebraMap R A) :=
       NoZeroSMulDivisors.iff_algebraMap_injective.1 inferInstance

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

@@ -3,16 +3,16 @@ Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
 -/
-import Mathbin.Algebra.Module.Basic
-import Mathbin.Algebra.Module.Ulift
-import Mathbin.Algebra.NeZero
-import Mathbin.Algebra.PunitInstances
-import Mathbin.Algebra.Ring.Aut
-import Mathbin.Algebra.Ring.Ulift
-import Mathbin.Algebra.CharZero.Lemmas
-import Mathbin.LinearAlgebra.Basic
-import Mathbin.RingTheory.Subring.Basic
-import Mathbin.Tactic.Abel
+import Algebra.Module.Basic
+import Algebra.Module.Ulift
+import Algebra.NeZero
+import Algebra.PunitInstances
+import Algebra.Ring.Aut
+import Algebra.Ring.Ulift
+import Algebra.CharZero.Lemmas
+import LinearAlgebra.Basic
+import RingTheory.Subring.Basic
+import Tactic.Abel
 
 #align_import algebra.algebra.basic from "leanprover-community/mathlib"@"36b8aa61ea7c05727161f96a0532897bd72aedab"
 
@@ -105,7 +105,7 @@ open scoped BigOperators
 
 section Prio
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:334:40: warning: unsupported option extends_priority -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:339:40: warning: unsupported option extends_priority -/
 -- We set this priority to 0 later in this file
 set_option extends_priority 200
 

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

@@ -394,7 +394,7 @@ theorem algebra_ext {R : Type _} [CommSemiring R] {A : Type _} [Semiring A] (P Q
 instance (priority := 200) toModule : Module R A
     where
   one_smul := by simp [smul_def'']
-  mul_smul := by simp [smul_def'', mul_assoc]
+  hMul_smul := by simp [smul_def'', mul_assoc]
   smul_add := by simp [smul_def'', mul_add]
   smul_zero := by simp [smul_def'']
   add_smul := by simp [smul_def'', add_mul]

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

@@ -780,12 +780,10 @@ theorem algebraMap_end_eq_smul_id (a : R) : (algebraMap R (End R M)) a = a • L
 #align module.algebra_map_End_eq_smul_id Module.algebraMap_end_eq_smul_id
 -/
 
-#print Module.algebraMap_end_apply /-
 @[simp]
 theorem algebraMap_end_apply (a : R) (m : M) : (algebraMap R (End R M)) a m = a • m :=
   rfl
-#align module.algebra_map_End_apply Module.algebraMap_end_apply
--/
+#align module.algebra_map_End_apply Module.algebraMap_end_applyₓ
 
 #print Module.ker_algebraMap_end /-
 @[simp]

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

@@ -2,11 +2,6 @@
 Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
-
-! This file was ported from Lean 3 source module algebra.algebra.basic
-! leanprover-community/mathlib commit 36b8aa61ea7c05727161f96a0532897bd72aedab
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Module.Basic
 import Mathbin.Algebra.Module.Ulift
@@ -19,6 +14,8 @@ import Mathbin.LinearAlgebra.Basic
 import Mathbin.RingTheory.Subring.Basic
 import Mathbin.Tactic.Abel
 
+#align_import algebra.algebra.basic from "leanprover-community/mathlib"@"36b8aa61ea7c05727161f96a0532897bd72aedab"
+
 /-!
 # Algebras over commutative semirings
 

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

@@ -138,9 +138,11 @@ def algebraMap (R : Type u) (A : Type v) [CommSemiring R] [Semiring A] [Algebra
 
 namespace algebraMap
 
+#print algebraMap.coeHTCT /-
 def coeHTCT (R A : Type _) [CommSemiring R] [Semiring A] [Algebra R A] : HasLiftT R A :=
   ⟨fun r => algebraMap R A r⟩
 #align algebra_map.has_lift_t algebraMap.coeHTCT
+-/
 
 attribute [instance 900] algebraMap.coeHTCT
 
@@ -288,6 +290,7 @@ end FieldDivisionRing
 
 end algebraMap
 
+#print RingHom.toAlgebra' /-
 /-- Creating an algebra from a morphism to the center of a semiring. -/
 def RingHom.toAlgebra' {R S} [CommSemiring R] [Semiring S] (i : R →+* S)
     (h : ∀ c x, i c * x = x * i c) : Algebra R S
@@ -297,6 +300,7 @@ def RingHom.toAlgebra' {R S} [CommSemiring R] [Semiring S] (i : R →+* S)
   smul_def' c x := rfl
   toRingHom := i
 #align ring_hom.to_algebra' RingHom.toAlgebra'
+-/
 
 #print RingHom.toAlgebra /-
 /-- Creating an algebra from a morphism to a commutative semiring. -/
@@ -305,15 +309,18 @@ def RingHom.toAlgebra {R S} [CommSemiring R] [CommSemiring S] (i : R →+* S) :
 #align ring_hom.to_algebra RingHom.toAlgebra
 -/
 
+#print RingHom.algebraMap_toAlgebra /-
 theorem RingHom.algebraMap_toAlgebra {R S} [CommSemiring R] [CommSemiring S] (i : R →+* S) :
     @algebraMap R S _ _ i.toAlgebra = i :=
   rfl
 #align ring_hom.algebra_map_to_algebra RingHom.algebraMap_toAlgebra
+-/
 
 namespace Algebra
 
 variable {R : Type u} {S : Type v} {A : Type w} {B : Type _}
 
+#print Algebra.ofModule' /-
 /-- Let `R` be a commutative semiring, let `A` be a semiring with a `module R` structure.
 If `(r • 1) * x = x * (r • 1) = r • x` for all `r : R` and `x : A`, then `A` is an `algebra`
 over `R`.
@@ -331,7 +338,9 @@ def ofModule' [CommSemiring R] [Semiring A] [Module R A] (h₁ : ∀ (r : R) (x
   commutes' r x := by simp only [h₁, h₂]
   smul_def' r x := by simp only [h₁]
 #align algebra.of_module' Algebra.ofModule'
+-/
 
+#print Algebra.ofModule /-
 /-- Let `R` be a commutative semiring, let `A` be a semiring with a `module R` structure.
 If `(r • x) * y = x * (r • y) = r • (x * y)` for all `r : R` and `x y : A`, then `A`
 is an `algebra` over `R`.
@@ -343,6 +352,7 @@ def ofModule [CommSemiring R] [Semiring A] [Module R A]
     (h₂ : ∀ (r : R) (x y : A), x * r • y = r • (x * y)) : Algebra R A :=
   ofModule' (fun r x => by rw [h₁, one_mul]) fun r x => by rw [h₂, mul_one]
 #align algebra.of_module Algebra.ofModule
+-/
 
 section Semiring
 
@@ -355,6 +365,7 @@ which we set to priority 0 shortly. See `smul_def` below for the public version.
 private theorem smul_def'' (r : R) (x : A) : r • x = algebraMap R A r * x :=
   Algebra.smul_def' r x
 
+#print Algebra.algebra_ext /-
 -- We'll later use this to show `algebra ℤ M` is a subsingleton.
 /-- To prove two algebra structures on a fixed `[comm_semiring R] [semiring A]` agree,
 it suffices to check the `algebra_map`s agree.
@@ -379,6 +390,7 @@ theorem algebra_ext {R : Type _} [CommSemiring R] {A : Type _} [Semiring A] (P Q
   · apply proof_irrel_heq
   · apply proof_irrel_heq
 #align algebra.algebra_ext Algebra.algebra_ext
+-/
 
 #print Algebra.toModule /-
 -- see Note [lower instance priority]
@@ -397,40 +409,55 @@ instance (priority := 200) toModule : Module R A
 -- Unfortunately, leaving it in place causes deterministic timeouts later in mathlib.
 attribute [instance 0] Algebra.toHasSmul
 
+#print Algebra.smul_def /-
 theorem smul_def (r : R) (x : A) : r • x = algebraMap R A r * x :=
   Algebra.smul_def' r x
 #align algebra.smul_def Algebra.smul_def
+-/
 
+#print Algebra.algebraMap_eq_smul_one /-
 theorem algebraMap_eq_smul_one (r : R) : algebraMap R A r = r • 1 :=
   calc
     algebraMap R A r = algebraMap R A r * 1 := (mul_one _).symm
     _ = r • 1 := (Algebra.smul_def r 1).symm
 #align algebra.algebra_map_eq_smul_one Algebra.algebraMap_eq_smul_one
+-/
 
+#print Algebra.algebraMap_eq_smul_one' /-
 theorem algebraMap_eq_smul_one' : ⇑(algebraMap R A) = fun r => r • (1 : A) :=
   funext algebraMap_eq_smul_one
 #align algebra.algebra_map_eq_smul_one' Algebra.algebraMap_eq_smul_one'
+-/
 
+#print Algebra.commutes /-
 /-- `mul_comm` for `algebra`s when one element is from the base ring. -/
 theorem commutes (r : R) (x : A) : algebraMap R A r * x = x * algebraMap R A r :=
   Algebra.commutes' r x
 #align algebra.commutes Algebra.commutes
+-/
 
+#print Algebra.left_comm /-
 /-- `mul_left_comm` for `algebra`s when one element is from the base ring. -/
 theorem left_comm (x : A) (r : R) (y : A) :
     x * (algebraMap R A r * y) = algebraMap R A r * (x * y) := by
   rw [← mul_assoc, ← commutes, mul_assoc]
 #align algebra.left_comm Algebra.left_comm
+-/
 
+#print Algebra.right_comm /-
 /-- `mul_right_comm` for `algebra`s when one element is from the base ring. -/
 theorem right_comm (x : A) (r : R) (y : A) : x * algebraMap R A r * y = x * y * algebraMap R A r :=
   by rw [mul_assoc, commutes, ← mul_assoc]
 #align algebra.right_comm Algebra.right_comm
+-/
 
+#print IsScalarTower.right /-
 instance IsScalarTower.right : IsScalarTower R A A :=
   ⟨fun x y z => by rw [smul_eq_mul, smul_eq_mul, smul_def, smul_def, mul_assoc]⟩
 #align is_scalar_tower.right IsScalarTower.right
+-/
 
+#print Algebra.mul_smul_comm /-
 /-- This is just a special case of the global `mul_smul_comm` lemma that requires less typeclass
 search (and was here first). -/
 @[simp]
@@ -439,19 +466,24 @@ protected theorem mul_smul_comm (s : R) (x y : A) : x * s • y = s • (x * y)
   -- `mul_smul_comm s x y`.
   rw [smul_def, smul_def, left_comm]
 #align algebra.mul_smul_comm Algebra.mul_smul_comm
+-/
 
+#print Algebra.smul_mul_assoc /-
 /-- This is just a special case of the global `smul_mul_assoc` lemma that requires less typeclass
 search (and was here first). -/
 @[simp]
 protected theorem smul_mul_assoc (r : R) (x y : A) : r • x * y = r • (x * y) :=
   smul_mul_assoc r x y
 #align algebra.smul_mul_assoc Algebra.smul_mul_assoc
+-/
 
+#print smul_algebraMap /-
 @[simp]
 theorem smul_algebraMap {α : Type _} [Monoid α] [MulDistribMulAction α A] [SMulCommClass α R A]
     (a : α) (r : R) : a • algebraMap R A r = algebraMap R A r := by
   rw [algebra_map_eq_smul_one, smul_comm a r (1 : A), smul_one]
 #align smul_algebra_map smul_algebraMap
+-/
 
 section
 
@@ -502,14 +534,18 @@ protected def linearMap : R →ₗ[R] A :=
 #align algebra.linear_map Algebra.linearMap
 -/
 
+#print Algebra.linearMap_apply /-
 @[simp]
 theorem linearMap_apply (r : R) : Algebra.linearMap R A r = algebraMap R A r :=
   rfl
 #align algebra.linear_map_apply Algebra.linearMap_apply
+-/
 
+#print Algebra.coe_linearMap /-
 theorem coe_linearMap : ⇑(Algebra.linearMap R A) = algebraMap R A :=
   rfl
 #align algebra.coe_linear_map Algebra.coe_linearMap
+-/
 
 #print Algebra.id /-
 instance id : Algebra R R :=
@@ -528,19 +564,24 @@ theorem map_eq_id : algebraMap R R = RingHom.id _ :=
 #align algebra.id.map_eq_id Algebra.id.map_eq_id
 -/
 
+#print Algebra.id.map_eq_self /-
 theorem map_eq_self (x : R) : algebraMap R R x = x :=
   rfl
 #align algebra.id.map_eq_self Algebra.id.map_eq_self
+-/
 
+#print Algebra.id.smul_eq_mul /-
 @[simp]
 theorem smul_eq_mul (x y : R) : x • y = x * y :=
   rfl
 #align algebra.id.smul_eq_mul Algebra.id.smul_eq_mul
+-/
 
 end id
 
 section PUnit
 
+#print PUnit.algebra /-
 instance PUnit.algebra : Algebra R PUnit
     where
   toFun x := PUnit.unit
@@ -551,11 +592,14 @@ instance PUnit.algebra : Algebra R PUnit
   commutes' _ _ := rfl
   smul_def' _ _ := rfl
 #align punit.algebra PUnit.algebra
+-/
 
+#print Algebra.algebraMap_pUnit /-
 @[simp]
 theorem algebraMap_pUnit (r : R) : algebraMap R PUnit r = PUnit.unit :=
   rfl
 #align algebra.algebra_map_punit Algebra.algebraMap_pUnit
+-/
 
 end PUnit
 
@@ -572,17 +616,22 @@ instance ULift.algebra : Algebra R (ULift A) :=
 #align ulift.algebra ULift.algebra
 -/
 
+#print ULift.algebraMap_eq /-
 theorem ULift.algebraMap_eq (r : R) : algebraMap R (ULift A) r = ULift.up (algebraMap R A r) :=
   rfl
 #align ulift.algebra_map_eq ULift.algebraMap_eq
+-/
 
+#print ULift.down_algebraMap /-
 @[simp]
 theorem ULift.down_algebraMap (r : R) : (algebraMap R (ULift A) r).down = algebraMap R A r :=
   rfl
 #align ulift.down_algebra_map ULift.down_algebraMap
+-/
 
 end ULift
 
+#print Algebra.ofSubsemiring /-
 /-- Algebra over a subsemiring. This builds upon `subsemiring.module`. -/
 instance ofSubsemiring (S : Subsemiring R) : Algebra S A :=
   { (algebraMap R A).comp S.Subtype with
@@ -590,40 +639,55 @@ instance ofSubsemiring (S : Subsemiring R) : Algebra S A :=
     commutes' := fun r x => Algebra.commutes r x
     smul_def' := fun r x => Algebra.smul_def r x }
 #align algebra.of_subsemiring Algebra.ofSubsemiring
+-/
 
+#print Algebra.algebraMap_ofSubsemiring /-
 theorem algebraMap_ofSubsemiring (S : Subsemiring R) :
     (algebraMap S R : S →+* R) = Subsemiring.subtype S :=
   rfl
 #align algebra.algebra_map_of_subsemiring Algebra.algebraMap_ofSubsemiring
+-/
 
+#print Algebra.coe_algebraMap_ofSubsemiring /-
 theorem coe_algebraMap_ofSubsemiring (S : Subsemiring R) : (algebraMap S R : S → R) = Subtype.val :=
   rfl
 #align algebra.coe_algebra_map_of_subsemiring Algebra.coe_algebraMap_ofSubsemiring
+-/
 
+#print Algebra.algebraMap_ofSubsemiring_apply /-
 theorem algebraMap_ofSubsemiring_apply (S : Subsemiring R) (x : S) : algebraMap S R x = x :=
   rfl
 #align algebra.algebra_map_of_subsemiring_apply Algebra.algebraMap_ofSubsemiring_apply
+-/
 
+#print Algebra.ofSubring /-
 /-- Algebra over a subring. This builds upon `subring.module`. -/
 instance ofSubring {R A : Type _} [CommRing R] [Ring A] [Algebra R A] (S : Subring R) :
     Algebra S A :=
   { Algebra.ofSubsemiring S.toSubsemiring, (algebraMap R A).comp S.Subtype with smul := (· • ·) }
 #align algebra.of_subring Algebra.ofSubring
+-/
 
+#print Algebra.algebraMap_ofSubring /-
 theorem algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
     (algebraMap S R : S →+* R) = Subring.subtype S :=
   rfl
 #align algebra.algebra_map_of_subring Algebra.algebraMap_ofSubring
+-/
 
+#print Algebra.coe_algebraMap_ofSubring /-
 theorem coe_algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
     (algebraMap S R : S → R) = Subtype.val :=
   rfl
 #align algebra.coe_algebra_map_of_subring Algebra.coe_algebraMap_ofSubring
+-/
 
+#print Algebra.algebraMap_ofSubring_apply /-
 theorem algebraMap_ofSubring_apply {R : Type _} [CommRing R] (S : Subring R) (x : S) :
     algebraMap S R x = x :=
   rfl
 #align algebra.algebra_map_of_subring_apply Algebra.algebraMap_ofSubring_apply
+-/
 
 #print Algebra.algebraMapSubmonoid /-
 /-- Explicit characterization of the submonoid map in the case of an algebra.
@@ -633,10 +697,12 @@ def algebraMapSubmonoid (S : Type _) [Semiring S] [Algebra R S] (M : Submonoid R
 #align algebra.algebra_map_submonoid Algebra.algebraMapSubmonoid
 -/
 
+#print Algebra.mem_algebraMapSubmonoid_of_mem /-
 theorem mem_algebraMapSubmonoid_of_mem {S : Type _} [Semiring S] [Algebra R S] {M : Submonoid R}
     (x : M) : algebraMap R S x ∈ algebraMapSubmonoid S M :=
   Set.mem_image_of_mem (algebraMap R S) x.2
 #align algebra.mem_algebra_map_submonoid_of_mem Algebra.mem_algebraMapSubmonoid_of_mem
+-/
 
 end Semiring
 
@@ -644,10 +710,13 @@ section CommSemiring
 
 variable [CommSemiring R]
 
+#print Algebra.mul_sub_algebraMap_commutes /-
 theorem mul_sub_algebraMap_commutes [Ring A] [Algebra R A] (x : A) (r : R) :
     x * (x - algebraMap R A r) = (x - algebraMap R A r) * x := by rw [mul_sub, ← commutes, sub_mul]
 #align algebra.mul_sub_algebra_map_commutes Algebra.mul_sub_algebraMap_commutes
+-/
 
+#print Algebra.mul_sub_algebraMap_pow_commutes /-
 theorem mul_sub_algebraMap_pow_commutes [Ring A] [Algebra R A] (x : A) (r : R) (n : ℕ) :
     x * (x - algebraMap R A r) ^ n = (x - algebraMap R A r) ^ n * x :=
   by
@@ -655,6 +724,7 @@ theorem mul_sub_algebraMap_pow_commutes [Ring A] [Algebra R A] (x : A) (r : R) (
   · simp
   · rw [pow_succ, ← mul_assoc, mul_sub_algebra_map_commutes, mul_assoc, ih, ← mul_assoc]
 #align algebra.mul_sub_algebra_map_pow_commutes Algebra.mul_sub_algebraMap_pow_commutes
+-/
 
 end CommSemiring
 
@@ -691,10 +761,12 @@ instance : Algebra R Aᵐᵒᵖ :=
     commutes' := fun r =>
       MulOpposite.rec' fun x => by dsimp <;> simp only [← op_mul, Algebra.commutes] }
 
+#print MulOpposite.algebraMap_apply /-
 @[simp]
 theorem algebraMap_apply (c : R) : algebraMap R Aᵐᵒᵖ c = op (algebraMap R A c) :=
   rfl
 #align mul_opposite.algebra_map_apply MulOpposite.algebraMap_apply
+-/
 
 end MulOpposite
 
@@ -705,35 +777,46 @@ variable (R : Type u) (M : Type v) [CommSemiring R] [AddCommMonoid M] [Module R
 instance : Algebra R (Module.End R M) :=
   Algebra.ofModule smul_mul_assoc fun r f g => (smul_comm r f g).symm
 
+#print Module.algebraMap_end_eq_smul_id /-
 theorem algebraMap_end_eq_smul_id (a : R) : (algebraMap R (End R M)) a = a • LinearMap.id :=
   rfl
 #align module.algebra_map_End_eq_smul_id Module.algebraMap_end_eq_smul_id
+-/
 
+#print Module.algebraMap_end_apply /-
 @[simp]
 theorem algebraMap_end_apply (a : R) (m : M) : (algebraMap R (End R M)) a m = a • m :=
   rfl
 #align module.algebra_map_End_apply Module.algebraMap_end_apply
+-/
 
+#print Module.ker_algebraMap_end /-
 @[simp]
 theorem ker_algebraMap_end (K : Type u) (V : Type v) [Field K] [AddCommGroup V] [Module K V] (a : K)
     (ha : a ≠ 0) : ((algebraMap K (End K V)) a).ker = ⊥ :=
   LinearMap.ker_smul _ _ ha
 #align module.ker_algebra_map_End Module.ker_algebraMap_end
+-/
 
 section
 
 variable {R M}
 
+#print Module.End_isUnit_apply_inv_apply_of_isUnit /-
 theorem End_isUnit_apply_inv_apply_of_isUnit {f : Module.End R M} (h : IsUnit f) (x : M) :
     f (h.Unit.inv x) = x :=
   show (f * h.Unit.inv) x = x by simp
 #align module.End_is_unit_apply_inv_apply_of_is_unit Module.End_isUnit_apply_inv_apply_of_isUnit
+-/
 
+#print Module.End_isUnit_inv_apply_apply_of_isUnit /-
 theorem End_isUnit_inv_apply_apply_of_isUnit {f : Module.End R M} (h : IsUnit f) (x : M) :
     h.Unit.inv (f x) = x :=
   (by simp : (h.Unit.inv * f) x = x)
 #align module.End_is_unit_inv_apply_apply_of_is_unit Module.End_isUnit_inv_apply_apply_of_isUnit
+-/
 
+#print Module.End_isUnit_iff /-
 theorem End_isUnit_iff (f : Module.End R M) : IsUnit f ↔ Function.Bijective f :=
   ⟨fun h =>
     Function.bijective_iff_has_inverse.mpr <|
@@ -743,7 +826,9 @@ theorem End_isUnit_iff (f : Module.End R M) : IsUnit f ↔ Function.Bijective f
     let e : M ≃ₗ[R] M := { f, Equiv.ofBijective f H with }
     ⟨⟨_, e.symm, LinearMap.ext e.right_inv, LinearMap.ext e.left_inv⟩, rfl⟩⟩
 #align module.End_is_unit_iff Module.End_isUnit_iff
+-/
 
+#print Module.End_algebraMap_isUnit_inv_apply_eq_iff /-
 theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
     (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) : h.Unit⁻¹ m = m' ↔ m = x • m' :=
   { mp := fun H => ((congr_arg h.Unit H).symm.trans (End_isUnit_apply_inv_apply_of_isUnit h _)).symm
@@ -753,7 +838,9 @@ theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
         erw [End_is_unit_apply_inv_apply_of_is_unit]
         rfl }
 #align module.End_algebra_map_is_unit_inv_apply_eq_iff Module.End_algebraMap_isUnit_inv_apply_eq_iff
+-/
 
+#print Module.End_algebraMap_isUnit_inv_apply_eq_iff' /-
 theorem End_algebraMap_isUnit_inv_apply_eq_iff' {x : R}
     (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) : m' = h.Unit⁻¹ m ↔ m = x • m' :=
   { mp := fun H => ((congr_arg h.Unit H).trans (End_isUnit_apply_inv_apply_of_isUnit h _)).symm
@@ -763,6 +850,7 @@ theorem End_algebraMap_isUnit_inv_apply_eq_iff' {x : R}
         erw [End_is_unit_apply_inv_apply_of_is_unit]
         rfl }
 #align module.End_algebra_map_is_unit_inv_apply_eq_iff' Module.End_algebraMap_isUnit_inv_apply_eq_iff'
+-/
 
 end
 
@@ -773,17 +861,21 @@ namespace LinearMap
 variable {R : Type _} {A : Type _} {B : Type _} [CommSemiring R] [Semiring A] [Semiring B]
   [Algebra R A] [Algebra R B]
 
+#print LinearMap.map_algebraMap_mul /-
 /-- An alternate statement of `linear_map.map_smul` for when `algebra_map` is more convenient to
 work with than `•`. -/
 theorem map_algebraMap_mul (f : A →ₗ[R] B) (a : A) (r : R) :
     f (algebraMap R A r * a) = algebraMap R B r * f a := by
   rw [← Algebra.smul_def, ← Algebra.smul_def, map_smul]
 #align linear_map.map_algebra_map_mul LinearMap.map_algebraMap_mul
+-/
 
+#print LinearMap.map_mul_algebraMap /-
 theorem map_mul_algebraMap (f : A →ₗ[R] B) (a : A) (r : R) :
     f (a * algebraMap R A r) = f a * algebraMap R B r := by
   rw [← Algebra.commutes, ← Algebra.commutes, map_algebra_map_mul]
 #align linear_map.map_mul_algebra_map LinearMap.map_mul_algebraMap
+-/
 
 end LinearMap
 
@@ -816,6 +908,7 @@ namespace RingHom
 
 variable {R S : Type _}
 
+#print RingHom.map_rat_algebraMap /-
 -- note that `R`, `S` could be `semiring`s but this is useless mathematically speaking -
 -- a ℚ-algebra is a ring. furthermore, this change probably slows down elaboration.
 @[simp]
@@ -823,11 +916,13 @@ theorem map_rat_algebraMap [Ring R] [Ring S] [Algebra ℚ R] [Algebra ℚ S] (f
     f (algebraMap ℚ R r) = algebraMap ℚ S r :=
   RingHom.ext_iff.1 (Subsingleton.elim (f.comp (algebraMap ℚ R)) (algebraMap ℚ S)) r
 #align ring_hom.map_rat_algebra_map RingHom.map_rat_algebraMap
+-/
 
 end RingHom
 
 section Rat
 
+#print algebraRat /-
 instance algebraRat {α} [DivisionRing α] [CharZero α] : Algebra ℚ α
     where
   smul := (· • ·)
@@ -835,6 +930,7 @@ instance algebraRat {α} [DivisionRing α] [CharZero α] : Algebra ℚ α
   toRingHom := Rat.castHom α
   commutes' := Rat.cast_commute
 #align algebra_rat algebraRat
+-/
 
 /-- The two `algebra ℚ ℚ` instances should coincide. -/
 example : algebraRat = Algebra.id ℚ :=
@@ -859,6 +955,7 @@ section Int
 
 variable (R : Type _) [Ring R]
 
+#print algebraInt /-
 -- Lower the priority so that `algebra.id` is picked most of the time when working with
 -- `ℤ`-algebras. This is only an issue since `algebra.id ℤ` and `algebra_int ℤ` are not yet defeq.
 -- TODO: fix this by adding an `of_int` field to rings.
@@ -869,18 +966,23 @@ instance (priority := 99) algebraInt : Algebra ℤ R
   smul_def' _ _ := zsmul_eq_mul _ _
   toRingHom := Int.castRingHom R
 #align algebra_int algebraInt
+-/
 
+#print algebraMap_int_eq /-
 /-- A special case of `eq_int_cast'` that happens to be true definitionally -/
 @[simp]
 theorem algebraMap_int_eq : algebraMap ℤ R = Int.castRingHom R :=
   rfl
 #align algebra_map_int_eq algebraMap_int_eq
+-/
 
 variable {R}
 
+#print int_algebra_subsingleton /-
 instance int_algebra_subsingleton : Subsingleton (Algebra ℤ R) :=
   ⟨fun P Q => by ext; simp⟩
 #align int_algebra_subsingleton int_algebra_subsingleton
+-/
 
 end Int
 
@@ -890,6 +992,7 @@ variable {R A : Type _}
 
 open Algebra
 
+#print NoZeroSMulDivisors.of_algebraMap_injective /-
 /-- If `algebra_map R A` is injective and `A` has no zero divisors,
 `R`-multiples in `A` are zero only if one of the factors is zero.
 
@@ -901,49 +1004,62 @@ theorem of_algebraMap_injective [CommSemiring R] [Semiring A] [Algebra R A] [NoZ
     (mul_eq_zero.mp ((smul_def c x).symm.trans hcx)).imp_left
       (map_eq_zero_iff (algebraMap R A) h).mp⟩
 #align no_zero_smul_divisors.of_algebra_map_injective NoZeroSMulDivisors.of_algebraMap_injective
+-/
 
 variable (R A)
 
+#print NoZeroSMulDivisors.algebraMap_injective /-
 theorem algebraMap_injective [CommRing R] [Ring A] [Nontrivial A] [Algebra R A]
     [NoZeroSMulDivisors R A] : Function.Injective (algebraMap R A) :=
   suffices Function.Injective fun c : R => c • (1 : A) by convert this; ext;
     rw [Algebra.smul_def, mul_one]
   smul_left_injective R one_ne_zero
 #align no_zero_smul_divisors.algebra_map_injective NoZeroSMulDivisors.algebraMap_injective
+-/
 
+#print NeZero.of_noZeroSMulDivisors /-
 theorem NeZero.of_noZeroSMulDivisors (n : ℕ) [CommRing R] [NeZero (n : R)] [Ring A] [Nontrivial A]
     [Algebra R A] [NoZeroSMulDivisors R A] : NeZero (n : A) :=
   NeZero.nat_of_injective <| NoZeroSMulDivisors.algebraMap_injective R A
 #align ne_zero.of_no_zero_smul_divisors NeZero.of_noZeroSMulDivisors
+-/
 
 variable {R A}
 
+#print NoZeroSMulDivisors.iff_algebraMap_injective /-
 theorem iff_algebraMap_injective [CommRing R] [Ring A] [IsDomain A] [Algebra R A] :
     NoZeroSMulDivisors R A ↔ Function.Injective (algebraMap R A) :=
   ⟨@NoZeroSMulDivisors.algebraMap_injective R A _ _ _ _, NoZeroSMulDivisors.of_algebraMap_injective⟩
 #align no_zero_smul_divisors.iff_algebra_map_injective NoZeroSMulDivisors.iff_algebraMap_injective
+-/
 
+#print NoZeroSMulDivisors.CharZero.noZeroSMulDivisors_nat /-
 -- see note [lower instance priority]
 instance (priority := 100) CharZero.noZeroSMulDivisors_nat [Semiring R] [NoZeroDivisors R]
     [CharZero R] : NoZeroSMulDivisors ℕ R :=
   NoZeroSMulDivisors.of_algebraMap_injective <| (algebraMap ℕ R).injective_nat
 #align no_zero_smul_divisors.char_zero.no_zero_smul_divisors_nat NoZeroSMulDivisors.CharZero.noZeroSMulDivisors_nat
+-/
 
+#print NoZeroSMulDivisors.CharZero.noZeroSMulDivisors_int /-
 -- see note [lower instance priority]
 instance (priority := 100) CharZero.noZeroSMulDivisors_int [Ring R] [NoZeroDivisors R]
     [CharZero R] : NoZeroSMulDivisors ℤ R :=
   NoZeroSMulDivisors.of_algebraMap_injective <| (algebraMap ℤ R).injective_int
 #align no_zero_smul_divisors.char_zero.no_zero_smul_divisors_int NoZeroSMulDivisors.CharZero.noZeroSMulDivisors_int
+-/
 
 section Field
 
 variable [Field R] [Semiring A] [Algebra R A]
 
+#print NoZeroSMulDivisors.Algebra.noZeroSMulDivisors /-
 -- see note [lower instance priority]
 instance (priority := 100) Algebra.noZeroSMulDivisors [Nontrivial A] [NoZeroDivisors A] :
     NoZeroSMulDivisors R A :=
   NoZeroSMulDivisors.of_algebraMap_injective (algebraMap R A).Injective
 #align no_zero_smul_divisors.algebra.no_zero_smul_divisors NoZeroSMulDivisors.Algebra.noZeroSMulDivisors
+-/
 
 end Field
 
@@ -959,20 +1075,27 @@ variable {M : Type _} [AddCommMonoid M] [Module A M] [Module R M] [IsScalarTower
 
 variable {N : Type _} [AddCommMonoid N] [Module A N] [Module R N] [IsScalarTower R A N]
 
+#print algebra_compatible_smul /-
 theorem algebra_compatible_smul (r : R) (m : M) : r • m = (algebraMap R A) r • m := by
   rw [← one_smul A m, ← smul_assoc, Algebra.smul_def, mul_one, one_smul]
 #align algebra_compatible_smul algebra_compatible_smul
+-/
 
+#print algebraMap_smul /-
 @[simp]
 theorem algebraMap_smul (r : R) (m : M) : (algebraMap R A) r • m = r • m :=
   (algebra_compatible_smul A r m).symm
 #align algebra_map_smul algebraMap_smul
+-/
 
+#print intCast_smul /-
 theorem intCast_smul {k V : Type _} [CommRing k] [AddCommGroup V] [Module k V] (r : ℤ) (x : V) :
     (r : k) • x = r • x :=
   algebraMap_smul k r x
 #align int_cast_smul intCast_smul
+-/
 
+#print NoZeroSMulDivisors.trans /-
 theorem NoZeroSMulDivisors.trans (R A M : Type _) [CommRing R] [Ring A] [IsDomain A] [Algebra R A]
     [AddCommGroup M] [Module R M] [Module A M] [IsScalarTower R A M] [NoZeroSMulDivisors R A]
     [NoZeroSMulDivisors A M] : NoZeroSMulDivisors R M :=
@@ -987,6 +1110,7 @@ theorem NoZeroSMulDivisors.trans (R A M : Type _) [CommRing R] [Ring A] [IsDomai
   · right
     exact H
 #align no_zero_smul_divisors.trans NoZeroSMulDivisors.trans
+-/
 
 variable {A}
 
@@ -1006,11 +1130,13 @@ instance (priority := 100) IsScalarTower.to_smulCommClass' : SMulCommClass A R M
 #align is_scalar_tower.to_smul_comm_class' IsScalarTower.to_smulCommClass'
 -/
 
+#print Algebra.to_smulCommClass /-
 -- see Note [lower instance priority]
 instance (priority := 200) Algebra.to_smulCommClass {R A} [CommSemiring R] [Semiring A]
     [Algebra R A] : SMulCommClass R A A :=
   IsScalarTower.to_smulCommClass
 #align algebra.to_smul_comm_class Algebra.to_smulCommClass
+-/
 
 #print smul_algebra_smul_comm /-
 theorem smul_algebra_smul_comm (r : R) (a : A) (m : M) : a • r • m = r • a • m :=
@@ -1020,26 +1146,33 @@ theorem smul_algebra_smul_comm (r : R) (a : A) (m : M) : a • r • m = r • a
 
 namespace LinearMap
 
+#print LinearMap.coeIsScalarTower /-
 instance coeIsScalarTower : Coe (M →ₗ[A] N) (M →ₗ[R] N) :=
   ⟨restrictScalars R⟩
 #align linear_map.coe_is_scalar_tower LinearMap.coeIsScalarTower
+-/
 
 variable (R) {A M N}
 
 /- warning: linear_map.coe_restrict_scalars_eq_coe clashes with linear_map.coe_restrict_scalars -> LinearMap.coe_restrictScalars
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_restrict_scalars_eq_coe LinearMap.coe_restrictScalarsₓ'. -/
+#print LinearMap.coe_restrictScalars /-
 @[simp, norm_cast squash]
 theorem coe_restrictScalars (f : M →ₗ[A] N) : (f.restrictScalars R : M → N) = f :=
   rfl
 #align linear_map.coe_restrict_scalars_eq_coe LinearMap.coe_restrictScalars
+-/
 
 /- warning: linear_map.coe_coe_is_scalar_tower clashes with linear_map.coe_restrict_scalars -> LinearMap.coe_restrictScalars
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_coe_is_scalar_tower LinearMap.coe_restrictScalarsₓ'. -/
+#print LinearMap.coe_restrictScalars /-
 @[simp, norm_cast squash]
 theorem coe_restrictScalars (f : M →ₗ[A] N) : ((f : M →ₗ[R] N) : M → N) = f :=
   rfl
 #align linear_map.coe_coe_is_scalar_tower LinearMap.coe_restrictScalars
+-/
 
+#print LinearMap.ltoFun /-
 /-- `A`-linearly coerce a `R`-linear map from `M` to `A` to a function, given an algebra `A` over
 a commutative semiring `R` and `M` a module over `R`. -/
 def ltoFun (R : Type u) (M : Type v) (A : Type w) [CommSemiring R] [AddCommMonoid M] [Module R M]
@@ -1049,6 +1182,7 @@ def ltoFun (R : Type u) (M : Type v) (A : Type w) [CommSemiring R] [AddCommMonoi
   map_add' f g := rfl
   map_smul' c f := rfl
 #align linear_map.lto_fun LinearMap.ltoFun
+-/
 
 end LinearMap
 
@@ -1071,11 +1205,13 @@ variable [AddCommMonoid N] [Module R N] [Module S N] [IsScalarTower R S N]
 
 variable {S M N}
 
+#print LinearMap.ker_restrictScalars /-
 @[simp]
 theorem LinearMap.ker_restrictScalars (f : M →ₗ[S] N) :
     (f.restrictScalars R).ker = f.ker.restrictScalars R :=
   rfl
 #align linear_map.ker_restrict_scalars LinearMap.ker_restrictScalars
+-/
 
 end Module
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/7e5137f579de09a059a5ce98f364a04e221aabf0

@@ -405,7 +405,6 @@ theorem algebraMap_eq_smul_one (r : R) : algebraMap R A r = r • 1 :=
   calc
     algebraMap R A r = algebraMap R A r * 1 := (mul_one _).symm
     _ = r • 1 := (Algebra.smul_def r 1).symm
-    
 #align algebra.algebra_map_eq_smul_one Algebra.algebraMap_eq_smul_one
 
 theorem algebraMap_eq_smul_one' : ⇑(algebraMap R A) = fun r => r • (1 : A) :=

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

@@ -121,7 +121,7 @@ See the implementation notes in this file for discussion of the details of this
 -/
 @[nolint has_nonempty_instance]
 class Algebra (R : Type u) (A : Type v) [CommSemiring R] [Semiring A] extends SMul R A,
-  R →+* A where
+    R →+* A where
   commutes' : ∀ r x, to_fun r * x = x * to_fun r
   smul_def' : ∀ r x, r • x = to_fun r * x
 #align algebra Algebra
@@ -372,7 +372,7 @@ theorem algebra_ext {R : Type _} [CommSemiring R] {A : Type _} [Semiring A] (P Q
   congr
   · funext r a
     replace w := congr_arg (fun s => s * a) (w r)
-    simp only [← smul_def''] at w
+    simp only [← smul_def''] at w 
     apply w
   · ext r
     exact w r
@@ -979,7 +979,7 @@ theorem NoZeroSMulDivisors.trans (R A M : Type _) [CommRing R] [Ring A] [IsDomai
     [NoZeroSMulDivisors A M] : NoZeroSMulDivisors R M :=
   by
   refine' ⟨fun r m h => _⟩
-  rw [algebra_compatible_smul A r m] at h
+  rw [algebra_compatible_smul A r m] at h 
   cases' smul_eq_zero.1 h with H H
   · have : Function.Injective (algebraMap R A) :=
       NoZeroSMulDivisors.iff_algebraMap_injective.1 inferInstance

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

@@ -458,53 +458,37 @@ section
 
 variable {r : R} {a : A}
 
-/- warning: algebra.bit0_smul_one clashes with [anonymous] -> [anonymous]
-Case conversion may be inaccurate. Consider using '#align algebra.bit0_smul_one [anonymous]ₓ'. -/
 @[simp]
-theorem [anonymous] : bit0 r • (1 : A) = bit0 (r • (1 : A)) := by simp [bit0, add_smul]
-#align algebra.bit0_smul_one [anonymous]
+theorem bit0_smul_one : bit0 r • (1 : A) = bit0 (r • (1 : A)) := by simp [bit0, add_smul]
+#align algebra.bit0_smul_one Algebra.bit0_smul_one
 
-/- warning: algebra.bit0_smul_one' clashes with [anonymous] -> [anonymous]
-Case conversion may be inaccurate. Consider using '#align algebra.bit0_smul_one' [anonymous]ₓ'. -/
-theorem [anonymous] : bit0 r • (1 : A) = r • 2 := by simp [bit0, add_smul, smul_add]
-#align algebra.bit0_smul_one' [anonymous]
+theorem bit0_smul_one' : bit0 r • (1 : A) = r • 2 := by simp [bit0, add_smul, smul_add]
+#align algebra.bit0_smul_one' Algebra.bit0_smul_one'
 
-/- warning: algebra.bit0_smul_bit0 clashes with [anonymous] -> [anonymous]
-Case conversion may be inaccurate. Consider using '#align algebra.bit0_smul_bit0 [anonymous]ₓ'. -/
 @[simp]
-theorem [anonymous] : bit0 r • bit0 a = r • bit0 (bit0 a) := by simp [bit0, add_smul, smul_add]
-#align algebra.bit0_smul_bit0 [anonymous]
+theorem bit0_smul_bit0 : bit0 r • bit0 a = r • bit0 (bit0 a) := by simp [bit0, add_smul, smul_add]
+#align algebra.bit0_smul_bit0 Algebra.bit0_smul_bit0
 
-/- warning: algebra.bit0_smul_bit1 clashes with [anonymous] -> [anonymous]
-Case conversion may be inaccurate. Consider using '#align algebra.bit0_smul_bit1 [anonymous]ₓ'. -/
 @[simp]
-theorem [anonymous] : bit0 r • bit1 a = r • bit0 (bit1 a) := by simp [bit0, add_smul, smul_add]
-#align algebra.bit0_smul_bit1 [anonymous]
+theorem bit0_smul_bit1 : bit0 r • bit1 a = r • bit0 (bit1 a) := by simp [bit0, add_smul, smul_add]
+#align algebra.bit0_smul_bit1 Algebra.bit0_smul_bit1
 
-/- warning: algebra.bit1_smul_one clashes with [anonymous] -> [anonymous]
-Case conversion may be inaccurate. Consider using '#align algebra.bit1_smul_one [anonymous]ₓ'. -/
 @[simp]
-theorem [anonymous] : bit1 r • (1 : A) = bit1 (r • (1 : A)) := by simp [bit1, add_smul]
-#align algebra.bit1_smul_one [anonymous]
+theorem bit1_smul_one : bit1 r • (1 : A) = bit1 (r • (1 : A)) := by simp [bit1, add_smul]
+#align algebra.bit1_smul_one Algebra.bit1_smul_one
 
-/- warning: algebra.bit1_smul_one' clashes with [anonymous] -> [anonymous]
-Case conversion may be inaccurate. Consider using '#align algebra.bit1_smul_one' [anonymous]ₓ'. -/
-theorem [anonymous] : bit1 r • (1 : A) = r • 2 + 1 := by simp [bit1, bit0, add_smul, smul_add]
-#align algebra.bit1_smul_one' [anonymous]
+theorem bit1_smul_one' : bit1 r • (1 : A) = r • 2 + 1 := by simp [bit1, bit0, add_smul, smul_add]
+#align algebra.bit1_smul_one' Algebra.bit1_smul_one'
 
-/- warning: algebra.bit1_smul_bit0 clashes with [anonymous] -> [anonymous]
-Case conversion may be inaccurate. Consider using '#align algebra.bit1_smul_bit0 [anonymous]ₓ'. -/
 @[simp]
-theorem [anonymous] : bit1 r • bit0 a = r • bit0 (bit0 a) + bit0 a := by
+theorem bit1_smul_bit0 : bit1 r • bit0 a = r • bit0 (bit0 a) + bit0 a := by
   simp [bit1, add_smul, smul_add]
-#align algebra.bit1_smul_bit0 [anonymous]
+#align algebra.bit1_smul_bit0 Algebra.bit1_smul_bit0
 
-/- warning: algebra.bit1_smul_bit1 clashes with [anonymous] -> [anonymous]
-Case conversion may be inaccurate. Consider using '#align algebra.bit1_smul_bit1 [anonymous]ₓ'. -/
 @[simp]
-theorem [anonymous] : bit1 r • bit1 a = r • bit0 (bit1 a) + bit1 a := by
+theorem bit1_smul_bit1 : bit1 r • bit1 a = r • bit0 (bit1 a) + bit1 a := by
   simp only [bit0, bit1, add_smul, smul_add, one_smul]; abel
-#align algebra.bit1_smul_bit1 [anonymous]
+#align algebra.bit1_smul_bit1 Algebra.bit1_smul_bit1
 
 end
 

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

@@ -104,7 +104,7 @@ the second approach only when you need to weaken a condition on either `R` or `A
 
 universe u v w u₁ v₁
 
-open BigOperators
+open scoped BigOperators
 
 section Prio
 
@@ -202,7 +202,7 @@ section CommSemiringCommSemiring
 
 variable {R A : Type _} [CommSemiring R] [CommSemiring A] [Algebra R A]
 
-open BigOperators
+open scoped BigOperators
 
 #print algebraMap.coe_prod /-
 -- direct to_additive fails because of some mix-up with polynomials

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

@@ -138,12 +138,6 @@ def algebraMap (R : Type u) (A : Type v) [CommSemiring R] [Semiring A] [Algebra
 
 namespace algebraMap
 
-/- warning: algebra_map.has_lift_t -> algebraMap.coeHTCT is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2], HasLiftT.{succ u1, succ u2} R A
-but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2], CoeHTCT.{succ u1, succ u2} R A
-Case conversion may be inaccurate. Consider using '#align algebra_map.has_lift_t algebraMap.coeHTCTₓ'. -/
 def coeHTCT (R A : Type _) [CommSemiring R] [Semiring A] [Algebra R A] : HasLiftT R A :=
   ⟨fun r => algebraMap R A r⟩
 #align algebra_map.has_lift_t algebraMap.coeHTCT
@@ -294,12 +288,6 @@ end FieldDivisionRing
 
 end algebraMap
 
-/- warning: ring_hom.to_algebra' -> RingHom.toAlgebra' is a dubious translation:
-lean 3 declaration is
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 /-- Creating an algebra from a morphism to the center of a semiring. -/
 def RingHom.toAlgebra' {R S} [CommSemiring R] [Semiring S] (i : R →+* S)
     (h : ∀ c x, i c * x = x * i c) : Algebra R S
@@ -317,12 +305,6 @@ def RingHom.toAlgebra {R S} [CommSemiring R] [CommSemiring S] (i : R →+* S) :
 #align ring_hom.to_algebra RingHom.toAlgebra
 -/
 
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 theorem RingHom.algebraMap_toAlgebra {R S} [CommSemiring R] [CommSemiring S] (i : R →+* S) :
     @algebraMap R S _ _ i.toAlgebra = i :=
   rfl
@@ -332,9 +314,6 @@ namespace Algebra
 
 variable {R : Type u} {S : Type v} {A : Type w} {B : Type _}
 
-/- warning: algebra.of_module' -> Algebra.ofModule' is a dubious translation:
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 /-- Let `R` be a commutative semiring, let `A` be a semiring with a `module R` structure.
 If `(r • 1) * x = x * (r • 1) = r • x` for all `r : R` and `x : A`, then `A` is an `algebra`
 over `R`.
@@ -353,9 +332,6 @@ def ofModule' [CommSemiring R] [Semiring A] [Module R A] (h₁ : ∀ (r : R) (x
   smul_def' r x := by simp only [h₁]
 #align algebra.of_module' Algebra.ofModule'
 
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 /-- Let `R` be a commutative semiring, let `A` be a semiring with a `module R` structure.
 If `(r • x) * y = x * (r • y) = r • (x * y)` for all `r : R` and `x y : A`, then `A`
 is an `algebra` over `R`.
@@ -379,12 +355,6 @@ which we set to priority 0 shortly. See `smul_def` below for the public version.
 private theorem smul_def'' (r : R) (x : A) : r • x = algebraMap R A r * x :=
   Algebra.smul_def' r x
 
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 -- We'll later use this to show `algebra ℤ M` is a subsingleton.
 /-- To prove two algebra structures on a fixed `[comm_semiring R] [semiring A]` agree,
 it suffices to check the `algebra_map`s agree.
@@ -427,22 +397,10 @@ instance (priority := 200) toModule : Module R A
 -- Unfortunately, leaving it in place causes deterministic timeouts later in mathlib.
 attribute [instance 0] Algebra.toHasSmul
 
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 theorem smul_def (r : R) (x : A) : r • x = algebraMap R A r * x :=
   Algebra.smul_def' r x
 #align algebra.smul_def Algebra.smul_def
 
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 theorem algebraMap_eq_smul_one (r : R) : algebraMap R A r = r • 1 :=
   calc
     algebraMap R A r = algebraMap R A r * 1 := (mul_one _).symm
@@ -450,66 +408,30 @@ theorem algebraMap_eq_smul_one (r : R) : algebraMap R A r = r • 1 :=
     
 #align algebra.algebra_map_eq_smul_one Algebra.algebraMap_eq_smul_one
 
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 theorem algebraMap_eq_smul_one' : ⇑(algebraMap R A) = fun r => r • (1 : A) :=
   funext algebraMap_eq_smul_one
 #align algebra.algebra_map_eq_smul_one' Algebra.algebraMap_eq_smul_one'
 
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 /-- `mul_comm` for `algebra`s when one element is from the base ring. -/
 theorem commutes (r : R) (x : A) : algebraMap R A r * x = x * algebraMap R A r :=
   Algebra.commutes' r x
 #align algebra.commutes Algebra.commutes
 
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 /-- `mul_left_comm` for `algebra`s when one element is from the base ring. -/
 theorem left_comm (x : A) (r : R) (y : A) :
     x * (algebraMap R A r * y) = algebraMap R A r * (x * y) := by
   rw [← mul_assoc, ← commutes, mul_assoc]
 #align algebra.left_comm Algebra.left_comm
 
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 /-- `mul_right_comm` for `algebra`s when one element is from the base ring. -/
 theorem right_comm (x : A) (r : R) (y : A) : x * algebraMap R A r * y = x * y * algebraMap R A r :=
   by rw [mul_assoc, commutes, ← mul_assoc]
 #align algebra.right_comm Algebra.right_comm
 
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 instance IsScalarTower.right : IsScalarTower R A A :=
   ⟨fun x y z => by rw [smul_eq_mul, smul_eq_mul, smul_def, smul_def, mul_assoc]⟩
 #align is_scalar_tower.right IsScalarTower.right
 
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 /-- This is just a special case of the global `mul_smul_comm` lemma that requires less typeclass
 search (and was here first). -/
 @[simp]
@@ -519,12 +441,6 @@ protected theorem mul_smul_comm (s : R) (x y : A) : x * s • y = s • (x * y)
   rw [smul_def, smul_def, left_comm]
 #align algebra.mul_smul_comm Algebra.mul_smul_comm
 
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-Case conversion may be inaccurate. Consider using '#align algebra.smul_mul_assoc Algebra.smul_mul_assocₓ'. -/
 /-- This is just a special case of the global `smul_mul_assoc` lemma that requires less typeclass
 search (and was here first). -/
 @[simp]
@@ -532,12 +448,6 @@ protected theorem smul_mul_assoc (r : R) (x y : A) : r • x * y = r • (x * y)
   smul_mul_assoc r x y
 #align algebra.smul_mul_assoc Algebra.smul_mul_assoc
 
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-Case conversion may be inaccurate. Consider using '#align smul_algebra_map smul_algebraMapₓ'. -/
 @[simp]
 theorem smul_algebraMap {α : Type _} [Monoid α] [MulDistribMulAction α A] [SMulCommClass α R A]
     (a : α) (r : R) : a • algebraMap R A r = algebraMap R A r := by
@@ -549,75 +459,40 @@ section
 variable {r : R} {a : A}
 
 /- warning: algebra.bit0_smul_one clashes with [anonymous] -> [anonymous]
-warning: algebra.bit0_smul_one -> [anonymous] is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] {r : R}, Eq.{succ u2} A (SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4))))) (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) r) (OfNat.ofNat.{u2} A 1 (OfNat.mk.{u2} A 1 (One.one.{u2} A (AddMonoidWithOne.toOne.{u2} A (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} A (NonAssocSemiring.toAddCommMonoidWithOne.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))))) (bit0.{u2} A (Distrib.toHasAdd.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4))))) r (OfNat.ofNat.{u2} A 1 (OfNat.mk.{u2} A 1 (One.one.{u2} A (AddMonoidWithOne.toOne.{u2} A (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} A (NonAssocSemiring.toAddCommMonoidWithOne.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))))))
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-  forall {R : Type.{u1}} {A : Type.{u2}}, (Nat -> R -> A) -> Nat -> (List.{u1} R) -> (List.{u2} A)
 Case conversion may be inaccurate. Consider using '#align algebra.bit0_smul_one [anonymous]ₓ'. -/
 @[simp]
 theorem [anonymous] : bit0 r • (1 : A) = bit0 (r • (1 : A)) := by simp [bit0, add_smul]
 #align algebra.bit0_smul_one [anonymous]
 
 /- warning: algebra.bit0_smul_one' clashes with [anonymous] -> [anonymous]
-warning: algebra.bit0_smul_one' -> [anonymous] is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] {r : R}, Eq.{succ u2} A (SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4))))) (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) r) (OfNat.ofNat.{u2} A 1 (OfNat.mk.{u2} A 1 (One.one.{u2} A (AddMonoidWithOne.toOne.{u2} A (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} A (NonAssocSemiring.toAddCommMonoidWithOne.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))))) (SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4))))) r (OfNat.ofNat.{u2} A 2 (OfNat.mk.{u2} A 2 (bit0.{u2} A (Distrib.toHasAdd.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (One.one.{u2} A (AddMonoidWithOne.toOne.{u2} A (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} A (NonAssocSemiring.toAddCommMonoidWithOne.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))))))
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-  forall {R : Type.{u1}} {A : Type.{u2}}, (Nat -> R -> A) -> Nat -> (List.{u1} R) -> (List.{u2} A)
 Case conversion may be inaccurate. Consider using '#align algebra.bit0_smul_one' [anonymous]ₓ'. -/
 theorem [anonymous] : bit0 r • (1 : A) = r • 2 := by simp [bit0, add_smul, smul_add]
 #align algebra.bit0_smul_one' [anonymous]
 
 /- warning: algebra.bit0_smul_bit0 clashes with [anonymous] -> [anonymous]
-warning: algebra.bit0_smul_bit0 -> [anonymous] is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] {r : R} {a : A}, Eq.{succ u2} A (SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4))))) (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) r) (bit0.{u2} A (Distrib.toHasAdd.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) a)) (SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4))))) r (bit0.{u2} A (Distrib.toHasAdd.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (bit0.{u2} A (Distrib.toHasAdd.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) a)))
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-  forall {R : Type.{u1}} {A : Type.{u2}}, (Nat -> R -> A) -> Nat -> (List.{u1} R) -> (List.{u2} A)
 Case conversion may be inaccurate. Consider using '#align algebra.bit0_smul_bit0 [anonymous]ₓ'. -/
 @[simp]
 theorem [anonymous] : bit0 r • bit0 a = r • bit0 (bit0 a) := by simp [bit0, add_smul, smul_add]
 #align algebra.bit0_smul_bit0 [anonymous]
 
 /- warning: algebra.bit0_smul_bit1 clashes with [anonymous] -> [anonymous]
-warning: algebra.bit0_smul_bit1 -> [anonymous] is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] {r : R} {a : A}, Eq.{succ u2} A (SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4))))) (bit0.{u1} R (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) r) (bit1.{u2} A (AddMonoidWithOne.toOne.{u2} A (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} A (NonAssocSemiring.toAddCommMonoidWithOne.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (Distrib.toHasAdd.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) a)) (SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4))))) r (bit0.{u2} A (Distrib.toHasAdd.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (bit1.{u2} A (AddMonoidWithOne.toOne.{u2} A (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} A (NonAssocSemiring.toAddCommMonoidWithOne.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (Distrib.toHasAdd.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) a)))
-but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}}, (Nat -> R -> A) -> Nat -> (List.{u1} R) -> (List.{u2} A)
 Case conversion may be inaccurate. Consider using '#align algebra.bit0_smul_bit1 [anonymous]ₓ'. -/
 @[simp]
 theorem [anonymous] : bit0 r • bit1 a = r • bit0 (bit1 a) := by simp [bit0, add_smul, smul_add]
 #align algebra.bit0_smul_bit1 [anonymous]
 
 /- warning: algebra.bit1_smul_one clashes with [anonymous] -> [anonymous]
-warning: algebra.bit1_smul_one -> [anonymous] is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align algebra.bit1_smul_one [anonymous]ₓ'. -/
 @[simp]
 theorem [anonymous] : bit1 r • (1 : A) = bit1 (r • (1 : A)) := by simp [bit1, add_smul]
 #align algebra.bit1_smul_one [anonymous]
 
 /- warning: algebra.bit1_smul_one' clashes with [anonymous] -> [anonymous]
-warning: algebra.bit1_smul_one' -> [anonymous] is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align algebra.bit1_smul_one' [anonymous]ₓ'. -/
 theorem [anonymous] : bit1 r • (1 : A) = r • 2 + 1 := by simp [bit1, bit0, add_smul, smul_add]
 #align algebra.bit1_smul_one' [anonymous]
 
 /- warning: algebra.bit1_smul_bit0 clashes with [anonymous] -> [anonymous]
-warning: algebra.bit1_smul_bit0 -> [anonymous] is a dubious translation:
-lean 3 declaration is
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-  forall {R : Type.{u1}} {A : Type.{u2}}, (Nat -> R -> A) -> Nat -> (List.{u1} R) -> (List.{u2} A)
 Case conversion may be inaccurate. Consider using '#align algebra.bit1_smul_bit0 [anonymous]ₓ'. -/
 @[simp]
 theorem [anonymous] : bit1 r • bit0 a = r • bit0 (bit0 a) + bit0 a := by
@@ -625,11 +500,6 @@ theorem [anonymous] : bit1 r • bit0 a = r • bit0 (bit0 a) + bit0 a := by
 #align algebra.bit1_smul_bit0 [anonymous]
 
 /- warning: algebra.bit1_smul_bit1 clashes with [anonymous] -> [anonymous]
-warning: algebra.bit1_smul_bit1 -> [anonymous] is a dubious translation:
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(MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4))))) (bit1.{u1} R (AddMonoidWithOne.toOne.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (Distrib.toHasAdd.{u1} R (NonUnitalNonAssocSemiring.toDistrib.{u1} R 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(NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) a))
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 Case conversion may be inaccurate. Consider using '#align algebra.bit1_smul_bit1 [anonymous]ₓ'. -/
 @[simp]
 theorem [anonymous] : bit1 r • bit1 a = r • bit0 (bit1 a) + bit1 a := by
@@ -649,23 +519,11 @@ protected def linearMap : R →ₗ[R] A :=
 #align algebra.linear_map Algebra.linearMap
 -/
 
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 @[simp]
 theorem linearMap_apply (r : R) : Algebra.linearMap R A r = algebraMap R A r :=
   rfl
 #align algebra.linear_map_apply Algebra.linearMap_apply
 
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 theorem coe_linearMap : ⇑(Algebra.linearMap R A) = algebraMap R A :=
   rfl
 #align algebra.coe_linear_map Algebra.coe_linearMap
@@ -687,22 +545,10 @@ theorem map_eq_id : algebraMap R R = RingHom.id _ :=
 #align algebra.id.map_eq_id Algebra.id.map_eq_id
 -/
 
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 theorem map_eq_self (x : R) : algebraMap R R x = x :=
   rfl
 #align algebra.id.map_eq_self Algebra.id.map_eq_self
 
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 @[simp]
 theorem smul_eq_mul (x y : R) : x • y = x * y :=
   rfl
@@ -712,12 +558,6 @@ end id
 
 section PUnit
 
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 instance PUnit.algebra : Algebra R PUnit
     where
   toFun x := PUnit.unit
@@ -729,12 +569,6 @@ instance PUnit.algebra : Algebra R PUnit
   smul_def' _ _ := rfl
 #align punit.algebra PUnit.algebra
 
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 @[simp]
 theorem algebraMap_pUnit (r : R) : algebraMap R PUnit r = PUnit.unit :=
   rfl
@@ -755,22 +589,10 @@ instance ULift.algebra : Algebra R (ULift A) :=
 #align ulift.algebra ULift.algebra
 -/
 
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 theorem ULift.algebraMap_eq (r : R) : algebraMap R (ULift A) r = ULift.up (algebraMap R A r) :=
   rfl
 #align ulift.algebra_map_eq ULift.algebraMap_eq
 
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 @[simp]
 theorem ULift.down_algebraMap (r : R) : (algebraMap R (ULift A) r).down = algebraMap R A r :=
   rfl
@@ -778,12 +600,6 @@ theorem ULift.down_algebraMap (r : R) : (algebraMap R (ULift A) r).down = algebr
 
 end ULift
 
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 /-- Algebra over a subsemiring. This builds upon `subsemiring.module`. -/
 instance ofSubsemiring (S : Subsemiring R) : Algebra S A :=
   { (algebraMap R A).comp S.Subtype with
@@ -792,65 +608,35 @@ instance ofSubsemiring (S : Subsemiring R) : Algebra S A :=
     smul_def' := fun r x => Algebra.smul_def r x }
 #align algebra.of_subsemiring Algebra.ofSubsemiring
 
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 theorem algebraMap_ofSubsemiring (S : Subsemiring R) :
     (algebraMap S R : S →+* R) = Subsemiring.subtype S :=
   rfl
 #align algebra.algebra_map_of_subsemiring Algebra.algebraMap_ofSubsemiring
 
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 theorem coe_algebraMap_ofSubsemiring (S : Subsemiring R) : (algebraMap S R : S → R) = Subtype.val :=
   rfl
 #align algebra.coe_algebra_map_of_subsemiring Algebra.coe_algebraMap_ofSubsemiring
 
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 theorem algebraMap_ofSubsemiring_apply (S : Subsemiring R) (x : S) : algebraMap S R x = x :=
   rfl
 #align algebra.algebra_map_of_subsemiring_apply Algebra.algebraMap_ofSubsemiring_apply
 
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 /-- Algebra over a subring. This builds upon `subring.module`. -/
 instance ofSubring {R A : Type _} [CommRing R] [Ring A] [Algebra R A] (S : Subring R) :
     Algebra S A :=
   { Algebra.ofSubsemiring S.toSubsemiring, (algebraMap R A).comp S.Subtype with smul := (· • ·) }
 #align algebra.of_subring Algebra.ofSubring
 
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 theorem algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
     (algebraMap S R : S →+* R) = Subring.subtype S :=
   rfl
 #align algebra.algebra_map_of_subring Algebra.algebraMap_ofSubring
 
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 theorem coe_algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
     (algebraMap S R : S → R) = Subtype.val :=
   rfl
 #align algebra.coe_algebra_map_of_subring Algebra.coe_algebraMap_ofSubring
 
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 theorem algebraMap_ofSubring_apply {R : Type _} [CommRing R] (S : Subring R) (x : S) :
     algebraMap S R x = x :=
   rfl
@@ -864,9 +650,6 @@ def algebraMapSubmonoid (S : Type _) [Semiring S] [Algebra R S] (M : Submonoid R
 #align algebra.algebra_map_submonoid Algebra.algebraMapSubmonoid
 -/
 
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 theorem mem_algebraMapSubmonoid_of_mem {S : Type _} [Semiring S] [Algebra R S] {M : Submonoid R}
     (x : M) : algebraMap R S x ∈ algebraMapSubmonoid S M :=
   Set.mem_image_of_mem (algebraMap R S) x.2
@@ -878,22 +661,10 @@ section CommSemiring
 
 variable [CommSemiring R]
 
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 theorem mul_sub_algebraMap_commutes [Ring A] [Algebra R A] (x : A) (r : R) :
     x * (x - algebraMap R A r) = (x - algebraMap R A r) * x := by rw [mul_sub, ← commutes, sub_mul]
 #align algebra.mul_sub_algebra_map_commutes Algebra.mul_sub_algebraMap_commutes
 
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 theorem mul_sub_algebraMap_pow_commutes [Ring A] [Algebra R A] (x : A) (r : R) (n : ℕ) :
     x * (x - algebraMap R A r) ^ n = (x - algebraMap R A r) ^ n * x :=
   by
@@ -937,12 +708,6 @@ instance : Algebra R Aᵐᵒᵖ :=
     commutes' := fun r =>
       MulOpposite.rec' fun x => by dsimp <;> simp only [← op_mul, Algebra.commutes] }
 
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 @[simp]
 theorem algebraMap_apply (c : R) : algebraMap R Aᵐᵒᵖ c = op (algebraMap R A c) :=
   rfl
@@ -957,30 +722,15 @@ variable (R : Type u) (M : Type v) [CommSemiring R] [AddCommMonoid M] [Module R
 instance : Algebra R (Module.End R M) :=
   Algebra.ofModule smul_mul_assoc fun r f g => (smul_comm r f g).symm
 
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 theorem algebraMap_end_eq_smul_id (a : R) : (algebraMap R (End R M)) a = a • LinearMap.id :=
   rfl
 #align module.algebra_map_End_eq_smul_id Module.algebraMap_end_eq_smul_id
 
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 @[simp]
 theorem algebraMap_end_apply (a : R) (m : M) : (algebraMap R (End R M)) a m = a • m :=
   rfl
 #align module.algebra_map_End_apply Module.algebraMap_end_apply
 
-/- warning: module.ker_algebra_map_End -> Module.ker_algebraMap_end is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align module.ker_algebra_map_End Module.ker_algebraMap_endₓ'. -/
 @[simp]
 theorem ker_algebraMap_end (K : Type u) (V : Type v) [Field K] [AddCommGroup V] [Module K V] (a : K)
     (ha : a ≠ 0) : ((algebraMap K (End K V)) a).ker = ⊥ :=
@@ -991,34 +741,16 @@ section
 
 variable {R M}
 
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-Case conversion may be inaccurate. Consider using '#align module.End_is_unit_apply_inv_apply_of_is_unit Module.End_isUnit_apply_inv_apply_of_isUnitₓ'. -/
 theorem End_isUnit_apply_inv_apply_of_isUnit {f : Module.End R M} (h : IsUnit f) (x : M) :
     f (h.Unit.inv x) = x :=
   show (f * h.Unit.inv) x = x by simp
 #align module.End_is_unit_apply_inv_apply_of_is_unit Module.End_isUnit_apply_inv_apply_of_isUnit
 
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 theorem End_isUnit_inv_apply_apply_of_isUnit {f : Module.End R M} (h : IsUnit f) (x : M) :
     h.Unit.inv (f x) = x :=
   (by simp : (h.Unit.inv * f) x = x)
 #align module.End_is_unit_inv_apply_apply_of_is_unit Module.End_isUnit_inv_apply_apply_of_isUnit
 
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 theorem End_isUnit_iff (f : Module.End R M) : IsUnit f ↔ Function.Bijective f :=
   ⟨fun h =>
     Function.bijective_iff_has_inverse.mpr <|
@@ -1029,9 +761,6 @@ theorem End_isUnit_iff (f : Module.End R M) : IsUnit f ↔ Function.Bijective f
     ⟨⟨_, e.symm, LinearMap.ext e.right_inv, LinearMap.ext e.left_inv⟩, rfl⟩⟩
 #align module.End_is_unit_iff Module.End_isUnit_iff
 
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-<too large>
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 theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
     (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) : h.Unit⁻¹ m = m' ↔ m = x • m' :=
   { mp := fun H => ((congr_arg h.Unit H).symm.trans (End_isUnit_apply_inv_apply_of_isUnit h _)).symm
@@ -1042,9 +771,6 @@ theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
         rfl }
 #align module.End_algebra_map_is_unit_inv_apply_eq_iff Module.End_algebraMap_isUnit_inv_apply_eq_iff
 
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-<too large>
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 theorem End_algebraMap_isUnit_inv_apply_eq_iff' {x : R}
     (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) : m' = h.Unit⁻¹ m ↔ m = x • m' :=
   { mp := fun H => ((congr_arg h.Unit H).trans (End_isUnit_apply_inv_apply_of_isUnit h _)).symm
@@ -1064,9 +790,6 @@ namespace LinearMap
 variable {R : Type _} {A : Type _} {B : Type _} [CommSemiring R] [Semiring A] [Semiring B]
   [Algebra R A] [Algebra R B]
 
-/- warning: linear_map.map_algebra_map_mul -> LinearMap.map_algebraMap_mul is a dubious translation:
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 /-- An alternate statement of `linear_map.map_smul` for when `algebra_map` is more convenient to
 work with than `•`. -/
 theorem map_algebraMap_mul (f : A →ₗ[R] B) (a : A) (r : R) :
@@ -1074,9 +797,6 @@ theorem map_algebraMap_mul (f : A →ₗ[R] B) (a : A) (r : R) :
   rw [← Algebra.smul_def, ← Algebra.smul_def, map_smul]
 #align linear_map.map_algebra_map_mul LinearMap.map_algebraMap_mul
 
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 theorem map_mul_algebraMap (f : A →ₗ[R] B) (a : A) (r : R) :
     f (a * algebraMap R A r) = f a * algebraMap R B r := by
   rw [← Algebra.commutes, ← Algebra.commutes, map_algebra_map_mul]
@@ -1113,12 +833,6 @@ namespace RingHom
 
 variable {R S : Type _}
 
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(Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) (algebraMap.{0, u1} Rat S Rat.commSemiring _inst_2 _inst_4) r)
-Case conversion may be inaccurate. Consider using '#align ring_hom.map_rat_algebra_map RingHom.map_rat_algebraMapₓ'. -/
 -- note that `R`, `S` could be `semiring`s but this is useless mathematically speaking -
 -- a ℚ-algebra is a ring. furthermore, this change probably slows down elaboration.
 @[simp]
@@ -1131,12 +845,6 @@ end RingHom
 
 section Rat
 
-/- warning: algebra_rat -> algebraRat is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align algebra_rat algebraRatₓ'. -/
 instance algebraRat {α} [DivisionRing α] [CharZero α] : Algebra ℚ α
     where
   smul := (· • ·)
@@ -1168,12 +876,6 @@ section Int
 
 variable (R : Type _) [Ring R]
 
-/- warning: algebra_int -> algebraInt is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) [_inst_1 : Ring.{u1} R], Algebra.{0, u1} Int R Int.commSemiring (Ring.toSemiring.{u1} R _inst_1)
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-Case conversion may be inaccurate. Consider using '#align algebra_int algebraIntₓ'. -/
 -- Lower the priority so that `algebra.id` is picked most of the time when working with
 -- `ℤ`-algebras. This is only an issue since `algebra.id ℤ` and `algebra_int ℤ` are not yet defeq.
 -- TODO: fix this by adding an `of_int` field to rings.
@@ -1185,12 +887,6 @@ instance (priority := 99) algebraInt : Algebra ℤ R
   toRingHom := Int.castRingHom R
 #align algebra_int algebraInt
 
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 /-- A special case of `eq_int_cast'` that happens to be true definitionally -/
 @[simp]
 theorem algebraMap_int_eq : algebraMap ℤ R = Int.castRingHom R :=
@@ -1199,12 +895,6 @@ theorem algebraMap_int_eq : algebraMap ℤ R = Int.castRingHom R :=
 
 variable {R}
 
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 instance int_algebra_subsingleton : Subsingleton (Algebra ℤ R) :=
   ⟨fun P Q => by ext; simp⟩
 #align int_algebra_subsingleton int_algebra_subsingleton
@@ -1217,12 +907,6 @@ variable {R A : Type _}
 
 open Algebra
 
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 /-- If `algebra_map R A` is injective and `A` has no zero divisors,
 `R`-multiples in `A` are zero only if one of the factors is zero.
 
@@ -1237,12 +921,6 @@ theorem of_algebraMap_injective [CommSemiring R] [Semiring A] [Algebra R A] [NoZ
 
 variable (R A)
 
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 theorem algebraMap_injective [CommRing R] [Ring A] [Nontrivial A] [Algebra R A]
     [NoZeroSMulDivisors R A] : Function.Injective (algebraMap R A) :=
   suffices Function.Injective fun c : R => c • (1 : A) by convert this; ext;
@@ -1250,12 +928,6 @@ theorem algebraMap_injective [CommRing R] [Ring A] [Nontrivial A] [Algebra R A]
   smul_left_injective R one_ne_zero
 #align no_zero_smul_divisors.algebra_map_injective NoZeroSMulDivisors.algebraMap_injective
 
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 theorem NeZero.of_noZeroSMulDivisors (n : ℕ) [CommRing R] [NeZero (n : R)] [Ring A] [Nontrivial A]
     [Algebra R A] [NoZeroSMulDivisors R A] : NeZero (n : A) :=
   NeZero.nat_of_injective <| NoZeroSMulDivisors.algebraMap_injective R A
@@ -1263,35 +935,17 @@ theorem NeZero.of_noZeroSMulDivisors (n : ℕ) [CommRing R] [NeZero (n : R)] [Ri
 
 variable {R A}
 
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 theorem iff_algebraMap_injective [CommRing R] [Ring A] [IsDomain A] [Algebra R A] :
     NoZeroSMulDivisors R A ↔ Function.Injective (algebraMap R A) :=
   ⟨@NoZeroSMulDivisors.algebraMap_injective R A _ _ _ _, NoZeroSMulDivisors.of_algebraMap_injective⟩
 #align no_zero_smul_divisors.iff_algebra_map_injective NoZeroSMulDivisors.iff_algebraMap_injective
 
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-Case conversion may be inaccurate. Consider using '#align no_zero_smul_divisors.char_zero.no_zero_smul_divisors_nat NoZeroSMulDivisors.CharZero.noZeroSMulDivisors_natₓ'. -/
 -- see note [lower instance priority]
 instance (priority := 100) CharZero.noZeroSMulDivisors_nat [Semiring R] [NoZeroDivisors R]
     [CharZero R] : NoZeroSMulDivisors ℕ R :=
   NoZeroSMulDivisors.of_algebraMap_injective <| (algebraMap ℕ R).injective_nat
 #align no_zero_smul_divisors.char_zero.no_zero_smul_divisors_nat NoZeroSMulDivisors.CharZero.noZeroSMulDivisors_nat
 
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-  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] [_inst_2 : NoZeroDivisors.{u1} R (NonUnitalNonAssocRing.toMul.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)))] [_inst_3 : CharZero.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R _inst_1))], NoZeroSMulDivisors.{0, u1} Int R (CommMonoidWithZero.toZero.{0} Int (CancelCommMonoidWithZero.toCommMonoidWithZero.{0} Int (IsDomain.toCancelCommMonoidWithZero.{0} Int Int.instCommSemiringInt (LinearOrderedRing.isDomain.{0} Int (LinearOrderedCommRing.toLinearOrderedRing.{0} Int Int.linearOrderedCommRing))))) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (SubNegMonoid.SMulInt.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (Ring.toAddGroupWithOne.{u1} R _inst_1))))
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 -- see note [lower instance priority]
 instance (priority := 100) CharZero.noZeroSMulDivisors_int [Ring R] [NoZeroDivisors R]
     [CharZero R] : NoZeroSMulDivisors ℤ R :=
@@ -1302,12 +956,6 @@ section Field
 
 variable [Field R] [Semiring A] [Algebra R A]
 
-/- warning: no_zero_smul_divisors.algebra.no_zero_smul_divisors -> NoZeroSMulDivisors.Algebra.noZeroSMulDivisors is a dubious translation:
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-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : Field.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A (Semifield.toCommSemiring.{u1} R (Field.toSemifield.{u1} R _inst_1)) _inst_2] [_inst_4 : Nontrivial.{u2} A] [_inst_5 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))], NoZeroSMulDivisors.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (DivisionRing.toRing.{u1} R (Field.toDivisionRing.{u1} R _inst_1))))))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (Semifield.toCommSemiring.{u1} R (Field.toSemifield.{u1} R _inst_1))))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (Semifield.toCommSemiring.{u1} R (Field.toSemifield.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R (Semifield.toCommSemiring.{u1} R (Field.toSemifield.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A (Semifield.toCommSemiring.{u1} R (Field.toSemifield.{u1} R _inst_1)) _inst_2 _inst_3)))))
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-Case conversion may be inaccurate. Consider using '#align no_zero_smul_divisors.algebra.no_zero_smul_divisors NoZeroSMulDivisors.Algebra.noZeroSMulDivisorsₓ'. -/
 -- see note [lower instance priority]
 instance (priority := 100) Algebra.noZeroSMulDivisors [Nontrivial A] [NoZeroDivisors A] :
     NoZeroSMulDivisors R A :=
@@ -1328,35 +976,20 @@ variable {M : Type _} [AddCommMonoid M] [Module A M] [Module R M] [IsScalarTower
 
 variable {N : Type _} [AddCommMonoid N] [Module A N] [Module R N] [IsScalarTower R A N]
 
-/- warning: algebra_compatible_smul -> algebra_compatible_smul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align algebra_compatible_smul algebra_compatible_smulₓ'. -/
 theorem algebra_compatible_smul (r : R) (m : M) : r • m = (algebraMap R A) r • m := by
   rw [← one_smul A m, ← smul_assoc, Algebra.smul_def, mul_one, one_smul]
 #align algebra_compatible_smul algebra_compatible_smul
 
-/- warning: algebra_map_smul -> algebraMap_smul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align algebra_map_smul algebraMap_smulₓ'. -/
 @[simp]
 theorem algebraMap_smul (r : R) (m : M) : (algebraMap R A) r • m = r • m :=
   (algebra_compatible_smul A r m).symm
 #align algebra_map_smul algebraMap_smul
 
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-Case conversion may be inaccurate. Consider using '#align int_cast_smul intCast_smulₓ'. -/
 theorem intCast_smul {k V : Type _} [CommRing k] [AddCommGroup V] [Module k V] (r : ℤ) (x : V) :
     (r : k) • x = r • x :=
   algebraMap_smul k r x
 #align int_cast_smul intCast_smul
 
-/- warning: no_zero_smul_divisors.trans -> NoZeroSMulDivisors.trans is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align no_zero_smul_divisors.trans NoZeroSMulDivisors.transₓ'. -/
 theorem NoZeroSMulDivisors.trans (R A M : Type _) [CommRing R] [Ring A] [IsDomain A] [Algebra R A]
     [AddCommGroup M] [Module R M] [Module A M] [IsScalarTower R A M] [NoZeroSMulDivisors R A]
     [NoZeroSMulDivisors A M] : NoZeroSMulDivisors R M :=
@@ -1390,12 +1023,6 @@ instance (priority := 100) IsScalarTower.to_smulCommClass' : SMulCommClass A R M
 #align is_scalar_tower.to_smul_comm_class' IsScalarTower.to_smulCommClass'
 -/
 
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-Case conversion may be inaccurate. Consider using '#align algebra.to_smul_comm_class Algebra.to_smulCommClassₓ'. -/
 -- see Note [lower instance priority]
 instance (priority := 200) Algebra.to_smulCommClass {R A} [CommSemiring R] [Semiring A]
     [Algebra R A] : SMulCommClass R A A :=
@@ -1410,12 +1037,6 @@ theorem smul_algebra_smul_comm (r : R) (a : A) (m : M) : a • r • m = r • a
 
 namespace LinearMap
 
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-Case conversion may be inaccurate. Consider using '#align linear_map.coe_is_scalar_tower LinearMap.coeIsScalarTowerₓ'. -/
 instance coeIsScalarTower : Coe (M →ₗ[A] N) (M →ₗ[R] N) :=
   ⟨restrictScalars R⟩
 #align linear_map.coe_is_scalar_tower LinearMap.coeIsScalarTower
@@ -1423,8 +1044,6 @@ instance coeIsScalarTower : Coe (M →ₗ[A] N) (M →ₗ[R] N) :=
 variable (R) {A M N}
 
 /- warning: linear_map.coe_restrict_scalars_eq_coe clashes with linear_map.coe_restrict_scalars -> LinearMap.coe_restrictScalars
-warning: linear_map.coe_restrict_scalars_eq_coe -> LinearMap.coe_restrictScalars is a dubious translation:
-<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_restrict_scalars_eq_coe LinearMap.coe_restrictScalarsₓ'. -/
 @[simp, norm_cast squash]
 theorem coe_restrictScalars (f : M →ₗ[A] N) : (f.restrictScalars R : M → N) = f :=
@@ -1432,20 +1051,12 @@ theorem coe_restrictScalars (f : M →ₗ[A] N) : (f.restrictScalars R : M → N
 #align linear_map.coe_restrict_scalars_eq_coe LinearMap.coe_restrictScalars
 
 /- warning: linear_map.coe_coe_is_scalar_tower clashes with linear_map.coe_restrict_scalars -> LinearMap.coe_restrictScalars
-warning: linear_map.coe_coe_is_scalar_tower -> LinearMap.coe_restrictScalars is a dubious translation:
-<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_coe_is_scalar_tower LinearMap.coe_restrictScalarsₓ'. -/
 @[simp, norm_cast squash]
 theorem coe_restrictScalars (f : M →ₗ[A] N) : ((f : M →ₗ[R] N) : M → N) = f :=
   rfl
 #align linear_map.coe_coe_is_scalar_tower LinearMap.coe_restrictScalars
 
-/- warning: linear_map.lto_fun -> LinearMap.ltoFun is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommRing.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))], LinearMap.{u3, u3, max u2 u3, max u2 u3} A A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15)))))) (LinearMap.module.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (Semiring.toModule.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))) (LinearMap.ltoFun._proof_1.{u1, u3} R A _inst_12 _inst_15 _inst_16)) (Pi.Function.module.{u2, u3, u3} M A A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) (Semiring.toModule.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))))
-but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommSemiring.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15)], LinearMap.{u3, u3, max u3 u2, max u2 u3} A A (CommSemiring.toSemiring.{u3} A _inst_15) (CommSemiring.toSemiring.{u3} A _inst_15) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (CommSemiring.toSemiring.{u3} A _inst_15) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (Algebra.to_smulCommClass.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (Pi.module.{u2, u3, u3} M (fun (a._@.Mathlib.Algebra.Algebra.Basic._hyg.6660 : M) => A) A (CommSemiring.toSemiring.{u3} A _inst_15) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (fun (i : M) => Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))
-Case conversion may be inaccurate. Consider using '#align linear_map.lto_fun LinearMap.ltoFunₓ'. -/
 /-- `A`-linearly coerce a `R`-linear map from `M` to `A` to a function, given an algebra `A` over
 a commutative semiring `R` and `M` a module over `R`. -/
 def ltoFun (R : Type u) (M : Type v) (A : Type w) [CommSemiring R] [AddCommMonoid M] [Module R M]
@@ -1477,9 +1088,6 @@ variable [AddCommMonoid N] [Module R N] [Module S N] [IsScalarTower R S N]
 
 variable {S M N}
 
-/- warning: linear_map.ker_restrict_scalars -> LinearMap.ker_restrictScalars is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.ker_restrict_scalars LinearMap.ker_restrictScalarsₓ'. -/
 @[simp]
 theorem LinearMap.ker_restrictScalars (f : M →ₗ[S] N) :
     (f.restrictScalars R).ker = f.ker.restrictScalars R :=

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

@@ -398,8 +398,7 @@ theorem algebra_ext {R : Type _} [CommSemiring R] {A : Type _} [Semiring A] (P Q
           haveI := Q
           algebraMap R A r) :
     P = Q := by
-  rcases P with @⟨⟨P⟩⟩
-  rcases Q with @⟨⟨Q⟩⟩
+  rcases P with @⟨⟨P⟩⟩; rcases Q with @⟨⟨Q⟩⟩
   congr
   · funext r a
     replace w := congr_arg (fun s => s * a) (w r)
@@ -633,10 +632,8 @@ but is expected to have type
   forall {R : Type.{u1}} {A : Type.{u2}}, (Nat -> R -> A) -> Nat -> (List.{u1} R) -> (List.{u2} A)
 Case conversion may be inaccurate. Consider using '#align algebra.bit1_smul_bit1 [anonymous]ₓ'. -/
 @[simp]
-theorem [anonymous] : bit1 r • bit1 a = r • bit0 (bit1 a) + bit1 a :=
-  by
-  simp only [bit0, bit1, add_smul, smul_add, one_smul]
-  abel
+theorem [anonymous] : bit1 r • bit1 a = r • bit0 (bit1 a) + bit1 a := by
+  simp only [bit0, bit1, add_smul, smul_add, one_smul]; abel
 #align algebra.bit1_smul_bit1 [anonymous]
 
 end
@@ -936,9 +933,7 @@ instance : Algebra R Aᵐᵒᵖ :=
       R with
     toRingHom := (algebraMap R A).toOpposite fun x y => Algebra.commutes _ _
     smul_def' := fun c x =>
-      unop_injective <| by
-        dsimp
-        simp only [op_mul, Algebra.smul_def, Algebra.commutes, op_unop]
+      unop_injective <| by dsimp; simp only [op_mul, Algebra.smul_def, Algebra.commutes, op_unop]
     commutes' := fun r =>
       MulOpposite.rec' fun x => by dsimp <;> simp only [← op_mul, Algebra.commutes] }
 
@@ -1108,9 +1103,7 @@ instance (priority := 99) algebraNat : Algebra ℕ R
 
 #print nat_algebra_subsingleton /-
 instance nat_algebra_subsingleton : Subsingleton (Algebra ℕ R) :=
-  ⟨fun P Q => by
-    ext
-    simp⟩
+  ⟨fun P Q => by ext; simp⟩
 #align nat_algebra_subsingleton nat_algebra_subsingleton
 -/
 
@@ -1213,9 +1206,7 @@ but is expected to have type
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R], Subsingleton.{succ u1} (Algebra.{0, u1} Int R Int.instCommSemiringInt (Ring.toSemiring.{u1} R _inst_1))
 Case conversion may be inaccurate. Consider using '#align int_algebra_subsingleton int_algebra_subsingletonₓ'. -/
 instance int_algebra_subsingleton : Subsingleton (Algebra ℤ R) :=
-  ⟨fun P Q => by
-    ext
-    simp⟩
+  ⟨fun P Q => by ext; simp⟩
 #align int_algebra_subsingleton int_algebra_subsingleton
 
 end Int
@@ -1254,10 +1245,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align no_zero_smul_divisors.algebra_map_injective NoZeroSMulDivisors.algebraMap_injectiveₓ'. -/
 theorem algebraMap_injective [CommRing R] [Ring A] [Nontrivial A] [Algebra R A]
     [NoZeroSMulDivisors R A] : Function.Injective (algebraMap R A) :=
-  suffices Function.Injective fun c : R => c • (1 : A)
-    by
-    convert this
-    ext
+  suffices Function.Injective fun c : R => c • (1 : A) by convert this; ext;
     rw [Algebra.smul_def, mul_one]
   smul_left_injective R one_ne_zero
 #align no_zero_smul_divisors.algebra_map_injective NoZeroSMulDivisors.algebraMap_injective

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

@@ -333,10 +333,7 @@ namespace Algebra
 variable {R : Type u} {S : Type v} {A : Type w} {B : Type _}
 
 /- warning: algebra.of_module' -> Algebra.ofModule' is a dubious translation:
-lean 3 declaration is
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(SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) _inst_3)))) r x)) -> (Algebra.{u1, u2} R A _inst_1 _inst_2)
-but is expected to have type
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+<too large>
 Case conversion may be inaccurate. Consider using '#align algebra.of_module' Algebra.ofModule'ₓ'. -/
 /-- Let `R` be a commutative semiring, let `A` be a semiring with a `module R` structure.
 If `(r • 1) * x = x * (r • 1) = r • x` for all `r : R` and `x : A`, then `A` is an `algebra`
@@ -357,10 +354,7 @@ def ofModule' [CommSemiring R] [Semiring A] [Module R A] (h₁ : ∀ (r : R) (x
 #align algebra.of_module' Algebra.ofModule'
 
 /- warning: algebra.of_module -> Algebra.ofModule is a dubious translation:
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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) x y))) -> (Algebra.{u1, u2} R A _inst_1 _inst_2)
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+<too large>
 Case conversion may be inaccurate. Consider using '#align algebra.of_module Algebra.ofModuleₓ'. -/
 /-- Let `R` be a commutative semiring, let `A` be a semiring with a `module R` structure.
 If `(r • x) * y = x * (r • y) = r • (x * y)` for all `r : R` and `x y : A`, then `A`
@@ -384,7 +378,6 @@ variable [Semiring A] [Algebra R A] [Semiring B] [Algebra R B]
 which we set to priority 0 shortly. See `smul_def` below for the public version. -/
 private theorem smul_def'' (r : R) (x : A) : r • x = algebraMap R A r * x :=
   Algebra.smul_def' r x
-#align algebra.smul_def'' algebra.smul_def''
 
 /- warning: algebra.algebra_ext -> Algebra.algebra_ext is a dubious translation:
 lean 3 declaration is
@@ -814,20 +807,14 @@ theorem algebraMap_ofSubsemiring (S : Subsemiring R) :
 #align algebra.algebra_map_of_subsemiring Algebra.algebraMap_ofSubsemiring
 
 /- warning: algebra.coe_algebra_map_of_subsemiring -> Algebra.coe_algebraMap_ofSubsemiring is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align algebra.coe_algebra_map_of_subsemiring Algebra.coe_algebraMap_ofSubsemiringₓ'. -/
 theorem coe_algebraMap_ofSubsemiring (S : Subsemiring R) : (algebraMap S R : S → R) = Subtype.val :=
   rfl
 #align algebra.coe_algebra_map_of_subsemiring Algebra.coe_algebraMap_ofSubsemiring
 
 /- warning: algebra.algebra_map_of_subsemiring_apply -> Algebra.algebraMap_ofSubsemiring_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_of_subsemiring_apply Algebra.algebraMap_ofSubsemiring_applyₓ'. -/
 theorem algebraMap_ofSubsemiring_apply (S : Subsemiring R) (x : S) : algebraMap S R x = x :=
   rfl
@@ -857,10 +844,7 @@ theorem algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
 #align algebra.algebra_map_of_subring Algebra.algebraMap_ofSubring
 
 /- warning: algebra.coe_algebra_map_of_subring -> Algebra.coe_algebraMap_ofSubring is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align algebra.coe_algebra_map_of_subring Algebra.coe_algebraMap_ofSubringₓ'. -/
 theorem coe_algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
     (algebraMap S R : S → R) = Subtype.val :=
@@ -868,10 +852,7 @@ theorem coe_algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
 #align algebra.coe_algebra_map_of_subring Algebra.coe_algebraMap_ofSubring
 
 /- warning: algebra.algebra_map_of_subring_apply -> Algebra.algebraMap_ofSubring_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_of_subring_apply Algebra.algebraMap_ofSubring_applyₓ'. -/
 theorem algebraMap_ofSubring_apply {R : Type _} [CommRing R] (S : Subring R) (x : S) :
     algebraMap S R x = x :=
@@ -887,10 +868,7 @@ def algebraMapSubmonoid (S : Type _) [Semiring S] [Algebra R S] (M : Submonoid R
 -/
 
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 Case conversion may be inaccurate. Consider using '#align algebra.mem_algebra_map_submonoid_of_mem Algebra.mem_algebraMapSubmonoid_of_memₓ'. -/
 theorem mem_algebraMapSubmonoid_of_mem {S : Type _} [Semiring S] [Algebra R S] {M : Submonoid R}
     (x : M) : algebraMap R S x ∈ algebraMapSubmonoid S M :=
@@ -1006,10 +984,7 @@ theorem algebraMap_end_apply (a : R) (m : M) : (algebraMap R (End R M)) a m = a
 #align module.algebra_map_End_apply Module.algebraMap_end_apply
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align module.ker_algebra_map_End Module.ker_algebraMap_endₓ'. -/
 @[simp]
 theorem ker_algebraMap_end (K : Type u) (V : Type v) [Field K] [AddCommGroup V] [Module K V] (a : K)
@@ -1060,10 +1035,7 @@ theorem End_isUnit_iff (f : Module.End R M) : IsUnit f ↔ Function.Bijective f
 #align module.End_is_unit_iff Module.End_isUnit_iff
 
 /- warning: module.End_algebra_map_is_unit_inv_apply_eq_iff -> Module.End_algebraMap_isUnit_inv_apply_eq_iff is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align module.End_algebra_map_is_unit_inv_apply_eq_iff Module.End_algebraMap_isUnit_inv_apply_eq_iffₓ'. -/
 theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
     (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) : h.Unit⁻¹ m = m' ↔ m = x • m' :=
@@ -1076,10 +1048,7 @@ theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
 #align module.End_algebra_map_is_unit_inv_apply_eq_iff Module.End_algebraMap_isUnit_inv_apply_eq_iff
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align module.End_algebra_map_is_unit_inv_apply_eq_iff' Module.End_algebraMap_isUnit_inv_apply_eq_iff'ₓ'. -/
 theorem End_algebraMap_isUnit_inv_apply_eq_iff' {x : R}
     (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) : m' = h.Unit⁻¹ m ↔ m = x • m' :=
@@ -1101,10 +1070,7 @@ variable {R : Type _} {A : Type _} {B : Type _} [CommSemiring R] [Semiring A] [S
   [Algebra R A] [Algebra R B]
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.map_algebra_map_mul LinearMap.map_algebraMap_mulₓ'. -/
 /-- An alternate statement of `linear_map.map_smul` for when `algebra_map` is more convenient to
 work with than `•`. -/
@@ -1114,10 +1080,7 @@ theorem map_algebraMap_mul (f : A →ₗ[R] B) (a : A) (r : R) :
 #align linear_map.map_algebra_map_mul LinearMap.map_algebraMap_mul
 
 /- warning: linear_map.map_mul_algebra_map -> LinearMap.map_mul_algebraMap is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.map_mul_algebra_map LinearMap.map_mul_algebraMapₓ'. -/
 theorem map_mul_algebraMap (f : A →ₗ[R] B) (a : A) (r : R) :
     f (a * algebraMap R A r) = f a * algebraMap R B r := by
@@ -1378,20 +1341,14 @@ variable {M : Type _} [AddCommMonoid M] [Module A M] [Module R M] [IsScalarTower
 variable {N : Type _} [AddCommMonoid N] [Module A N] [Module R N] [IsScalarTower R A N]
 
 /- warning: algebra_compatible_smul -> algebra_compatible_smul is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align algebra_compatible_smul algebra_compatible_smulₓ'. -/
 theorem algebra_compatible_smul (r : R) (m : M) : r • m = (algebraMap R A) r • m := by
   rw [← one_smul A m, ← smul_assoc, Algebra.smul_def, mul_one, one_smul]
 #align algebra_compatible_smul algebra_compatible_smul
 
 /- warning: algebra_map_smul -> algebraMap_smul is a dubious translation:
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(AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (HSMul.hSMul.{u2, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) M M (instHSMul.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) M (SMulZeroClass.toSMul.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) M (MonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Semiring.toMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) M (Semiring.toMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) M _inst_2 _inst_4 _inst_5))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) r) m) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))) r m)
+<too large>
 Case conversion may be inaccurate. Consider using '#align algebra_map_smul algebraMap_smulₓ'. -/
 @[simp]
 theorem algebraMap_smul (r : R) (m : M) : (algebraMap R A) r • m = r • m :=
@@ -1410,10 +1367,7 @@ theorem intCast_smul {k V : Type _} [CommRing k] [AddCommGroup V] [Module k V] (
 #align int_cast_smul intCast_smul
 
 /- warning: no_zero_smul_divisors.trans -> NoZeroSMulDivisors.trans is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) (A : Type.{u2}) (M : Type.{u3}) [_inst_12 : CommRing.{u1} R] [_inst_13 : Ring.{u2} A] [_inst_14 : IsDomain.{u2} A (Ring.toSemiring.{u2} A _inst_13)] [_inst_15 : Algebra.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_12) (Ring.toSemiring.{u2} A _inst_13)] [_inst_16 : AddCommGroup.{u3} M] [_inst_17 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_12)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)] [_inst_18 : Module.{u2, u3} A M (Ring.toSemiring.{u2} A _inst_13) (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)] [_inst_19 : IsScalarTower.{u1, u2, u3} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_13))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_12)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_13))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_12))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_13))))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_12)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_13)))) (Algebra.toModule.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_12) (Ring.toSemiring.{u2} A _inst_13) _inst_15))))) (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (Module.toMulActionWithZero.{u2, u3} A M (Ring.toSemiring.{u2} A _inst_13) (AddCommGroup.toAddCommMonoid.{u3} M _inst_16) _inst_18)))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_12)))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_12))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_12)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_16) _inst_17))))] [_inst_20 : NoZeroSMulDivisors.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_12)))))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_13))))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_13))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_12)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_13))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_12))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_13))))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_12)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_13)))) (Algebra.toModule.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_12) (Ring.toSemiring.{u2} A _inst_13) _inst_15)))))] [_inst_21 : NoZeroSMulDivisors.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_13))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_16))))) (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (Module.toMulActionWithZero.{u2, u3} A M (Ring.toSemiring.{u2} A _inst_13) (AddCommGroup.toAddCommMonoid.{u3} M _inst_16) _inst_18))))], NoZeroSMulDivisors.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_12)))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_16))))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_12)))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_12))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_12)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_16) _inst_17))))
-but is expected to have type
-  forall (R : Type.{u3}) (A : Type.{u2}) (M : Type.{u1}) [_inst_12 : CommRing.{u3} R] [_inst_13 : Ring.{u2} A] [_inst_14 : IsDomain.{u2} A (Ring.toSemiring.{u2} A _inst_13)] [_inst_15 : Algebra.{u3, u2} R A (CommRing.toCommSemiring.{u3} R _inst_12) (Ring.toSemiring.{u2} A _inst_13)] [_inst_16 : AddCommGroup.{u1} M] [_inst_17 : Module.{u3, u1} R M (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_16)] [_inst_18 : Module.{u2, u1} A M (Ring.toSemiring.{u2} A _inst_13) (AddCommGroup.toAddCommMonoid.{u1} M _inst_16)] [_inst_19 : IsScalarTower.{u3, u2, u1} R A M (Algebra.toSMul.{u3, u2} R A (CommRing.toCommSemiring.{u3} R _inst_12) (Ring.toSemiring.{u2} A _inst_13) _inst_15) (SMulZeroClass.toSMul.{u2, u1} A M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (SMulWithZero.toSMulZeroClass.{u2, u1} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (MulActionWithZero.toSMulWithZero.{u2, u1} A M (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13)) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (Module.toMulActionWithZero.{u2, u1} A M (Ring.toSemiring.{u2} A _inst_13) (AddCommGroup.toAddCommMonoid.{u1} M _inst_16) _inst_18)))) (SMulZeroClass.toSMul.{u3, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (SMulWithZero.toSMulZeroClass.{u3, u1} R M (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (MulActionWithZero.toSMulWithZero.{u3, u1} R M (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (Module.toMulActionWithZero.{u3, u1} R M (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_16) _inst_17))))] [_inst_20 : NoZeroSMulDivisors.{u3, u2} R A (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13))) (Algebra.toSMul.{u3, u2} R A (CommRing.toCommSemiring.{u3} R _inst_12) (Ring.toSemiring.{u2} A _inst_13) _inst_15)] [_inst_21 : NoZeroSMulDivisors.{u2, u1} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (SMulZeroClass.toSMul.{u2, u1} A M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (SMulWithZero.toSMulZeroClass.{u2, u1} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (MulActionWithZero.toSMulWithZero.{u2, u1} A M (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13)) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (Module.toMulActionWithZero.{u2, u1} A M (Ring.toSemiring.{u2} A _inst_13) (AddCommGroup.toAddCommMonoid.{u1} M _inst_16) _inst_18))))], NoZeroSMulDivisors.{u3, u1} R M (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (SMulZeroClass.toSMul.{u3, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (SMulWithZero.toSMulZeroClass.{u3, u1} R M (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (MulActionWithZero.toSMulWithZero.{u3, u1} R M (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (Module.toMulActionWithZero.{u3, u1} R M (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_16) _inst_17))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align no_zero_smul_divisors.trans NoZeroSMulDivisors.transₓ'. -/
 theorem NoZeroSMulDivisors.trans (R A M : Type _) [CommRing R] [Ring A] [IsDomain A] [Algebra R A]
     [AddCommGroup M] [Module R M] [Module A M] [IsScalarTower R A M] [NoZeroSMulDivisors R A]
@@ -1482,10 +1436,7 @@ variable (R) {A M N}
 
 /- warning: linear_map.coe_restrict_scalars_eq_coe clashes with linear_map.coe_restrict_scalars -> LinearMap.coe_restrictScalars
 warning: linear_map.coe_restrict_scalars_eq_coe -> LinearMap.coe_restrictScalars is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) [_inst_1 : CommSemiring.{u1} R] {A : Type.{u2}} [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] {N : Type.{u4}} [_inst_8 : AddCommMonoid.{u4} N] [_inst_9 : Module.{u2, u4} A N _inst_2 _inst_8] [_inst_10 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8] [_inst_11 : IsScalarTower.{u1, u2, u4} R A N (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u4} A N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u2, u4} A N (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u2, u4} A N (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u2, u4} A N _inst_2 _inst_8 _inst_9)))) (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8 _inst_10))))] (f : LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9), Eq.{max (succ u3) (succ u4)} ((fun (_x : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) => M -> N) (LinearMap.restrictScalars.{u1, u2, u3, u4} R A M N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_4 _inst_8 _inst_6 _inst_10 _inst_5 _inst_9 (LinearMap.IsScalarTower.compatibleSMul.{u3, u4, u1, u2} M N _inst_4 _inst_8 R A _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6)))) _inst_5 _inst_7 (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8 _inst_10)))) _inst_9 _inst_11) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R 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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_restrict_scalars_eq_coe LinearMap.coe_restrictScalarsₓ'. -/
 @[simp, norm_cast squash]
 theorem coe_restrictScalars (f : M →ₗ[A] N) : (f.restrictScalars R : M → N) = f :=
@@ -1494,10 +1445,7 @@ theorem coe_restrictScalars (f : M →ₗ[A] N) : (f.restrictScalars R : M → N
 
 /- warning: linear_map.coe_coe_is_scalar_tower clashes with linear_map.coe_restrict_scalars -> LinearMap.coe_restrictScalars
 warning: linear_map.coe_coe_is_scalar_tower -> LinearMap.coe_restrictScalars is a dubious translation:
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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] {N : Type.{u4}} [_inst_8 : AddCommMonoid.{u4} N] [_inst_9 : Module.{u2, u4} A N _inst_2 _inst_8] [_inst_10 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8] [_inst_11 : IsScalarTower.{u1, u2, u4} R A N (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A 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 Case conversion may be inaccurate. Consider using '#align linear_map.coe_coe_is_scalar_tower LinearMap.coe_restrictScalarsₓ'. -/
 @[simp, norm_cast squash]
 theorem coe_restrictScalars (f : M →ₗ[A] N) : ((f : M →ₗ[R] N) : M → N) = f :=
@@ -1542,10 +1490,7 @@ variable [AddCommMonoid N] [Module R N] [Module S N] [IsScalarTower R S N]
 variable {S M N}
 
 /- warning: linear_map.ker_restrict_scalars -> LinearMap.ker_restrictScalars is a dubious translation:
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(MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u1, u4} R N _inst_1 _inst_8 _inst_9))))] (f : LinearMap.{u2, u2, u3, u4} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) M N _inst_4 _inst_8 _inst_6 _inst_10), Eq.{succ u3} (Submodule.{u1, u3} R M _inst_1 _inst_4 _inst_5) (LinearMap.ker.{u1, u1, u3, u4, max u3 u4} R R M N _inst_1 _inst_1 _inst_4 _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.semilinearMapClass.{u1, u1, u3, u4} R R M N _inst_1 _inst_1 _inst_4 _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (LinearMap.restrictScalars.{u1, u2, u3, u4} R S M N _inst_1 _inst_2 _inst_4 _inst_8 _inst_5 _inst_9 _inst_6 _inst_10 (LinearMap.IsScalarTower.compatibleSMul.{u3, u4, u1, u2} M N _inst_4 _inst_8 R S _inst_2 _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_4 _inst_5)))) _inst_6 _inst_7 (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u1, u4} R N _inst_1 _inst_8 _inst_9)))) _inst_10 _inst_11) f)) (Submodule.restrictScalars.{u1, u2, u3} R S M _inst_2 _inst_4 _inst_1 _inst_5 _inst_6 _inst_3 _inst_7 (LinearMap.ker.{u2, u2, u3, u4, max u3 u4} S S M N _inst_2 _inst_2 _inst_4 _inst_8 _inst_6 _inst_10 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (LinearMap.{u2, u2, u3, u4} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) M N _inst_4 _inst_8 _inst_6 _inst_10) (LinearMap.semilinearMapClass.{u2, u2, u3, u4} S S M N _inst_2 _inst_2 _inst_4 _inst_8 _inst_6 _inst_10 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) f))
-but is expected to have type
-  forall (R : Type.{u1}) {S : Type.{u4}} {M : Type.{u3}} {N : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u4} S] [_inst_3 : SMul.{u1, u4} R S] [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u1, u3} R M _inst_1 _inst_4] [_inst_6 : Module.{u4, u3} S M _inst_2 _inst_4] [_inst_7 : IsScalarTower.{u1, u4, u3} R S M _inst_3 (SMulZeroClass.toSMul.{u4, u3} S M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u4, u3} S M (MonoidWithZero.toZero.{u4} S (Semiring.toMonoidWithZero.{u4} S _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u4, u3} S M (Semiring.toMonoidWithZero.{u4} S _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u4, u3} S M _inst_2 _inst_4 _inst_6)))) (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_4 _inst_5))))] [_inst_8 : AddCommMonoid.{u2} N] [_inst_9 : Module.{u1, u2} R N _inst_1 _inst_8] [_inst_10 : Module.{u4, u2} S N _inst_2 _inst_8] [_inst_11 : IsScalarTower.{u1, u4, u2} R S N _inst_3 (SMulZeroClass.toSMul.{u4, u2} S N (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (SMulWithZero.toSMulZeroClass.{u4, u2} S N (MonoidWithZero.toZero.{u4} S (Semiring.toMonoidWithZero.{u4} S _inst_2)) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (MulActionWithZero.toSMulWithZero.{u4, u2} S N (Semiring.toMonoidWithZero.{u4} S _inst_2) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (Module.toMulActionWithZero.{u4, u2} S N _inst_2 _inst_8 _inst_10)))) (SMulZeroClass.toSMul.{u1, u2} R N (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (SMulWithZero.toSMulZeroClass.{u1, u2} R N (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (MulActionWithZero.toSMulWithZero.{u1, u2} R N (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (Module.toMulActionWithZero.{u1, u2} R N _inst_1 _inst_8 _inst_9))))] (f : LinearMap.{u4, u4, u3, u2} S S _inst_2 _inst_2 (RingHom.id.{u4} S (Semiring.toNonAssocSemiring.{u4} S _inst_2)) M N _inst_4 _inst_8 _inst_6 _inst_10), Eq.{succ u3} (Submodule.{u1, u3} R M _inst_1 _inst_4 _inst_5) (LinearMap.ker.{u1, u1, u3, u2, max u3 u2} R R M N _inst_1 _inst_1 _inst_4 _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (LinearMap.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.semilinearMapClass.{u1, u1, u3, u2} R R M N _inst_1 _inst_1 _inst_4 _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (LinearMap.restrictScalars.{u1, u4, u3, u2} R S M N _inst_1 _inst_2 _inst_4 _inst_8 _inst_5 _inst_9 _inst_6 _inst_10 (LinearMap.IsScalarTower.compatibleSMul.{u3, u2, u1, u4} M N _inst_4 _inst_8 R S _inst_2 _inst_3 (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_4 _inst_5)))) _inst_6 _inst_7 (SMulZeroClass.toSMul.{u1, u2} R N (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (SMulWithZero.toSMulZeroClass.{u1, u2} R N (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (MulActionWithZero.toSMulWithZero.{u1, u2} R N (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (Module.toMulActionWithZero.{u1, u2} R N _inst_1 _inst_8 _inst_9)))) _inst_10 _inst_11) f)) (Submodule.restrictScalars.{u1, u4, u3} R S M _inst_2 _inst_4 _inst_1 _inst_5 _inst_6 _inst_3 _inst_7 (LinearMap.ker.{u4, u4, u3, u2, max u3 u2} S S M N _inst_2 _inst_2 _inst_4 _inst_8 _inst_6 _inst_10 (RingHom.id.{u4} S (Semiring.toNonAssocSemiring.{u4} S _inst_2)) (LinearMap.{u4, u4, u3, u2} S S _inst_2 _inst_2 (RingHom.id.{u4} S (Semiring.toNonAssocSemiring.{u4} S _inst_2)) M N _inst_4 _inst_8 _inst_6 _inst_10) (LinearMap.semilinearMapClass.{u4, u4, u3, u2} S S M N _inst_2 _inst_2 _inst_4 _inst_8 _inst_6 _inst_10 (RingHom.id.{u4} S (Semiring.toNonAssocSemiring.{u4} S _inst_2))) f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.ker_restrict_scalars LinearMap.ker_restrictScalarsₓ'. -/
 @[simp]
 theorem LinearMap.ker_restrictScalars (f : M →ₗ[S] N) :

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

@@ -663,7 +663,7 @@ protected def linearMap : R →ₗ[R] A :=
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) => R -> A) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
 but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => A) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => A) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
 Case conversion may be inaccurate. Consider using '#align algebra.linear_map_apply Algebra.linearMap_applyₓ'. -/
 @[simp]
 theorem linearMap_apply (r : R) : Algebra.linearMap R A r = algebraMap R A r :=
@@ -674,7 +674,7 @@ theorem linearMap_apply (r : R) : Algebra.linearMap R A r = algebraMap R A r :=
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (R -> A) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) => R -> A) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4))
 but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (forall (ᾰ : R), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => A) ᾰ) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4))
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (forall (ᾰ : R), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => A) ᾰ) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4))
 Case conversion may be inaccurate. Consider using '#align algebra.coe_linear_map Algebra.coe_linearMapₓ'. -/
 theorem coe_linearMap : ⇑(Algebra.linearMap R A) = algebraMap R A :=
   rfl
@@ -998,7 +998,7 @@ theorem algebraMap_end_eq_smul_id (a : R) : (algebraMap R (End R M)) a = a • L
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R) (m : M), Eq.{succ u2} M (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) m) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) a m)
 but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R) (m : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) m) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) a m)
+  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R) (m : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) m) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) a m)
 Case conversion may be inaccurate. Consider using '#align module.algebra_map_End_apply Module.algebraMap_end_applyₓ'. -/
 @[simp]
 theorem algebraMap_end_apply (a : R) (m : M) : (algebraMap R (End R M)) a m = a • m :=
@@ -1025,7 +1025,7 @@ variable {R M}
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (x : M), Eq.{succ u2} M (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) x)) x
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (x : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) x)) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) x)) x
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (x : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) x)) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) x)) x
 Case conversion may be inaccurate. Consider using '#align module.End_is_unit_apply_inv_apply_of_is_unit Module.End_isUnit_apply_inv_apply_of_isUnitₓ'. -/
 theorem End_isUnit_apply_inv_apply_of_isUnit {f : Module.End R M} (h : IsUnit f) (x : M) :
     f (h.Unit.inv x) = x :=
@@ -1036,7 +1036,7 @@ theorem End_isUnit_apply_inv_apply_of_isUnit {f : Module.End R M} (h : IsUnit f)
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (x : M), Eq.{succ u2} M (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f x)) x
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (x : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f x)) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f x)) x
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (x : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f x)) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f x)) x
 Case conversion may be inaccurate. Consider using '#align module.End_is_unit_inv_apply_apply_of_is_unit Module.End_isUnit_inv_apply_apply_of_isUnitₓ'. -/
 theorem End_isUnit_inv_apply_apply_of_isUnit {f : Module.End R M} (h : IsUnit f) (x : M) :
     h.Unit.inv (f x) = x :=
@@ -1047,7 +1047,7 @@ theorem End_isUnit_inv_apply_apply_of_isUnit {f : Module.End R M} (h : IsUnit f)
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3), Iff (IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (Function.Bijective.{succ u2, succ u2} M M (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f))
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3), Iff (IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (Function.Bijective.{succ u2, succ u2} M M (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3), Iff (IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (Function.Bijective.{succ u2, succ u2} M M (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f))
 Case conversion may be inaccurate. Consider using '#align module.End_is_unit_iff Module.End_isUnit_iffₓ'. -/
 theorem End_isUnit_iff (f : Module.End R M) : IsUnit f ↔ Function.Bijective f :=
   ⟨fun h =>
@@ -1063,7 +1063,7 @@ theorem End_isUnit_iff (f : Module.End R M) : IsUnit f ↔ Function.Bijective f
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M (coeFn.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (fun (x : Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) => M -> M) (coeFnTrans.{succ u2, succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeBaseAux.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Units.hasCoe.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (Inv.inv.{u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.hasInv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h)) m) m') (Eq.{succ u2} M m (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) x m'))
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m) m') (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m) m') (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
 Case conversion may be inaccurate. Consider using '#align module.End_algebra_map_is_unit_inv_apply_eq_iff Module.End_algebraMap_isUnit_inv_apply_eq_iffₓ'. -/
 theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
     (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) : h.Unit⁻¹ m = m' ↔ m = x • m' :=
@@ -1079,7 +1079,7 @@ theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M m' (coeFn.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (fun (x : Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) => M -> M) (coeFnTrans.{succ u2, succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeBaseAux.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Units.hasCoe.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (Inv.inv.{u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.hasInv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h)) m)) (Eq.{succ u2} M m (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) x m'))
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M m' (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m)) (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M m' (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m)) (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
 Case conversion may be inaccurate. Consider using '#align module.End_algebra_map_is_unit_inv_apply_eq_iff' Module.End_algebraMap_isUnit_inv_apply_eq_iff'ₓ'. -/
 theorem End_algebraMap_isUnit_inv_apply_eq_iff' {x : R}
     (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) : m' = h.Unit⁻¹ m ↔ m = x • m' :=
@@ -1104,7 +1104,7 @@ variable {R : Type _} {A : Type _} {B : Type _} [CommSemiring R] [Semiring A] [S
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u3} B] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u1, u3} R B _inst_1 _inst_3] (f : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (HMul.hMul.{u3, u3, u3} B B B (instHMul.{u3} B (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (fun (_x : RingHom.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) => R -> B) (RingHom.hasCoeToFun.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (algebraMap.{u1, u3} R B _inst_1 _inst_3 _inst_5) r) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f a))
 but is expected to have type
-  forall {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u1} B] [_inst_4 : Algebra.{u3, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u3, u1} R B _inst_1 _inst_3] (f : LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) (HMul.hMul.{u2, u2, u2} 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(NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) 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(NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) _inst_3)))) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3) (RingHom.instRingHomClassRingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3))))) (algebraMap.{u3, u1} R B _inst_1 _inst_3 _inst_5) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f a))
+  forall {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u1} B] [_inst_4 : Algebra.{u3, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u3, u1} R B _inst_1 _inst_3] (f : LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => B) (HMul.hMul.{u2, u2, u2} 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(NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_2)))) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => B) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) _inst_3)))) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3) (RingHom.instRingHomClassRingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3))))) (algebraMap.{u3, u1} R B _inst_1 _inst_3 _inst_5) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f a))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_algebra_map_mul LinearMap.map_algebraMap_mulₓ'. -/
 /-- An alternate statement of `linear_map.map_smul` for when `algebra_map` is more convenient to
 work with than `•`. -/
@@ -1117,7 +1117,7 @@ theorem map_algebraMap_mul (f : A →ₗ[R] B) (a : A) (r : R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u3} B] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u1, u3} R B _inst_1 _inst_3] (f : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) a (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_4) r))) (HMul.hMul.{u3, u3, u3} B B B (instHMul.{u3} B (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f a) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (fun (_x : RingHom.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) => R -> B) (RingHom.hasCoeToFun.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (algebraMap.{u1, u3} R B _inst_1 _inst_3 _inst_5) r))
 but is expected to have type
-  forall {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u1} B] [_inst_4 : Algebra.{u3, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u3, u1} R B _inst_1 _inst_3] (f : LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) a (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) a) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 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u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r))) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => B) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => B) a) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => B) a) (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => B) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => B) a) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => B) a) _inst_3)))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f a) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3) (RingHom.instRingHomClassRingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3))))) (algebraMap.{u3, u1} R B _inst_1 _inst_3 _inst_5) r))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_mul_algebra_map LinearMap.map_mul_algebraMapₓ'. -/
 theorem map_mul_algebraMap (f : A →ₗ[R] B) (a : A) (r : R) :
     f (a * algebraMap R A r) = f a * algebraMap R B r := by
@@ -1485,7 +1485,7 @@ warning: linear_map.coe_restrict_scalars_eq_coe -> LinearMap.coe_restrictScalars
 lean 3 declaration is
   forall (R : Type.{u1}) [_inst_1 : CommSemiring.{u1} R] {A : Type.{u2}} [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] {N : Type.{u4}} [_inst_8 : AddCommMonoid.{u4} N] [_inst_9 : Module.{u2, u4} A N _inst_2 _inst_8] [_inst_10 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8] [_inst_11 : IsScalarTower.{u1, u2, u4} R A N (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u4} A N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u2, u4} A N (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u2, u4} A N (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u2, u4} A N _inst_2 _inst_8 _inst_9)))) (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8 _inst_10))))] (f : LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9), Eq.{max (succ u3) (succ u4)} ((fun (_x : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) => M -> N) (LinearMap.restrictScalars.{u1, u2, u3, u4} R A M N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_4 _inst_8 _inst_6 _inst_10 _inst_5 _inst_9 (LinearMap.IsScalarTower.compatibleSMul.{u3, u4, u1, u2} M N _inst_4 _inst_8 R A _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6)))) _inst_5 _inst_7 (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8 _inst_10)))) _inst_9 _inst_11) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_8 _inst_6 _inst_10 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.restrictScalars.{u1, u2, u3, u4} R A M N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_4 _inst_8 _inst_6 _inst_10 _inst_5 _inst_9 (LinearMap.IsScalarTower.compatibleSMul.{u3, u4, u1, u2} M N _inst_4 _inst_8 R A _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6)))) _inst_5 _inst_7 (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8 _inst_10)))) _inst_9 _inst_11) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (fun (_x : LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) => M -> N) (LinearMap.hasCoeToFun.{u2, u2, u3, u4} A A M N _inst_2 _inst_2 _inst_4 _inst_8 _inst_5 _inst_9 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) f)
 but is expected to have type
-  forall (R : Type.{u1}) {_inst_1 : Type.{u4}} {A : Type.{u3}} {_inst_2 : Type.{u2}} [_inst_3 : Semiring.{u1} R] [M : Semiring.{u4} _inst_1] [_inst_4 : AddCommMonoid.{u3} A] [_inst_5 : AddCommMonoid.{u2} _inst_2] [_inst_6 : Module.{u1, u3} R A _inst_3 _inst_4] [_inst_7 : Module.{u1, u2} R _inst_2 _inst_3 _inst_5] [N : Module.{u4, u3} _inst_1 A M _inst_4] [_inst_8 : Module.{u4, u2} _inst_1 _inst_2 M _inst_5] [_inst_9 : LinearMap.CompatibleSMul.{u3, u2, u1, u4} A _inst_2 _inst_4 _inst_5 R _inst_1 M (SMulZeroClass.toSMul.{u1, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (Module.toMulActionWithZero.{u1, u3} R A _inst_3 _inst_4 _inst_6)))) N (SMulZeroClass.toSMul.{u1, u2} R _inst_2 (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R _inst_2 (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R _inst_2 (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (Module.toMulActionWithZero.{u1, u2} R _inst_2 _inst_3 _inst_5 _inst_7)))) _inst_8] (_inst_10 : LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8), Eq.{max (succ u3) (succ u2)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => _inst_2) a) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3)) A _inst_2 _inst_4 _inst_5 _inst_6 _inst_7) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R A _inst_2 _inst_3 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3))) (LinearMap.restrictScalars.{u1, u4, u3, u2} R _inst_1 A _inst_2 _inst_3 M _inst_4 _inst_5 _inst_6 _inst_7 N _inst_8 _inst_9 _inst_10)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 A _inst_2 M M _inst_4 _inst_5 N _inst_8 (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M))) _inst_10)
+  forall (R : Type.{u1}) {_inst_1 : Type.{u4}} {A : Type.{u3}} {_inst_2 : Type.{u2}} [_inst_3 : Semiring.{u1} R] [M : Semiring.{u4} _inst_1] [_inst_4 : AddCommMonoid.{u3} A] [_inst_5 : AddCommMonoid.{u2} _inst_2] [_inst_6 : Module.{u1, u3} R A _inst_3 _inst_4] [_inst_7 : Module.{u1, u2} R _inst_2 _inst_3 _inst_5] [N : Module.{u4, u3} _inst_1 A M _inst_4] [_inst_8 : Module.{u4, u2} _inst_1 _inst_2 M _inst_5] [_inst_9 : LinearMap.CompatibleSMul.{u3, u2, u1, u4} A _inst_2 _inst_4 _inst_5 R _inst_1 M (SMulZeroClass.toSMul.{u1, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (Module.toMulActionWithZero.{u1, u3} R A _inst_3 _inst_4 _inst_6)))) N (SMulZeroClass.toSMul.{u1, u2} R _inst_2 (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R _inst_2 (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R _inst_2 (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (Module.toMulActionWithZero.{u1, u2} R _inst_2 _inst_3 _inst_5 _inst_7)))) _inst_8] (_inst_10 : LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8), Eq.{max (succ u3) (succ u2)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => _inst_2) a) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3)) A _inst_2 _inst_4 _inst_5 _inst_6 _inst_7) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R A _inst_2 _inst_3 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3))) (LinearMap.restrictScalars.{u1, u4, u3, u2} R _inst_1 A _inst_2 _inst_3 M _inst_4 _inst_5 _inst_6 _inst_7 N _inst_8 _inst_9 _inst_10)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 A _inst_2 M M _inst_4 _inst_5 N _inst_8 (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M))) _inst_10)
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_restrict_scalars_eq_coe LinearMap.coe_restrictScalarsₓ'. -/
 @[simp, norm_cast squash]
 theorem coe_restrictScalars (f : M →ₗ[A] N) : (f.restrictScalars R : M → N) = f :=
@@ -1497,7 +1497,7 @@ warning: linear_map.coe_coe_is_scalar_tower -> LinearMap.coe_restrictScalars is
 lean 3 declaration is
   forall (R : Type.{u1}) [_inst_1 : CommSemiring.{u1} R] {A : Type.{u2}} [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] {N : Type.{u4}} [_inst_8 : AddCommMonoid.{u4} N] [_inst_9 : Module.{u2, u4} A N _inst_2 _inst_8] [_inst_10 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8] [_inst_11 : IsScalarTower.{u1, u2, u4} R A N (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u4} A N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u2, u4} A N (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u2, u4} A N (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u2, u4} A N _inst_2 _inst_8 _inst_9)))) (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8 _inst_10))))] (f : LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9), Eq.{max (succ u3) (succ u4)} ((fun (_x : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) 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(CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R 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_inst_10 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (LinearMap.coeIsScalarTower.{u1, u2, u3, u4} R _inst_1 A _inst_2 _inst_3 M _inst_4 _inst_5 _inst_6 _inst_7 N _inst_8 _inst_9 _inst_10 _inst_11)))) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (fun (_x : LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) => M -> N) (LinearMap.hasCoeToFun.{u2, u2, u3, u4} A A M N _inst_2 _inst_2 _inst_4 _inst_8 _inst_5 _inst_9 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) f)
 but is expected to have type
-  forall (R : Type.{u1}) {_inst_1 : Type.{u4}} {A : Type.{u3}} {_inst_2 : Type.{u2}} [_inst_3 : Semiring.{u1} R] [M : Semiring.{u4} _inst_1] [_inst_4 : AddCommMonoid.{u3} A] [_inst_5 : AddCommMonoid.{u2} _inst_2] [_inst_6 : Module.{u1, u3} R A _inst_3 _inst_4] [_inst_7 : Module.{u1, u2} R _inst_2 _inst_3 _inst_5] [N : Module.{u4, u3} _inst_1 A M _inst_4] [_inst_8 : Module.{u4, u2} _inst_1 _inst_2 M _inst_5] [_inst_9 : LinearMap.CompatibleSMul.{u3, u2, u1, u4} A _inst_2 _inst_4 _inst_5 R _inst_1 M (SMulZeroClass.toSMul.{u1, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (Module.toMulActionWithZero.{u1, u3} R A _inst_3 _inst_4 _inst_6)))) N (SMulZeroClass.toSMul.{u1, u2} R _inst_2 (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R _inst_2 (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R _inst_2 (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (Module.toMulActionWithZero.{u1, u2} R _inst_2 _inst_3 _inst_5 _inst_7)))) _inst_8] (_inst_10 : LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8), Eq.{max (succ u3) (succ u2)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => _inst_2) a) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3)) A _inst_2 _inst_4 _inst_5 _inst_6 _inst_7) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R A _inst_2 _inst_3 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3))) (LinearMap.restrictScalars.{u1, u4, u3, u2} R _inst_1 A _inst_2 _inst_3 M _inst_4 _inst_5 _inst_6 _inst_7 N _inst_8 _inst_9 _inst_10)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 A _inst_2 M M _inst_4 _inst_5 N _inst_8 (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M))) _inst_10)
+  forall (R : Type.{u1}) {_inst_1 : Type.{u4}} {A : Type.{u3}} {_inst_2 : Type.{u2}} [_inst_3 : Semiring.{u1} R] [M : Semiring.{u4} _inst_1] [_inst_4 : AddCommMonoid.{u3} A] [_inst_5 : AddCommMonoid.{u2} _inst_2] [_inst_6 : Module.{u1, u3} R A _inst_3 _inst_4] [_inst_7 : Module.{u1, u2} R _inst_2 _inst_3 _inst_5] [N : Module.{u4, u3} _inst_1 A M _inst_4] [_inst_8 : Module.{u4, u2} _inst_1 _inst_2 M _inst_5] [_inst_9 : LinearMap.CompatibleSMul.{u3, u2, u1, u4} A _inst_2 _inst_4 _inst_5 R _inst_1 M (SMulZeroClass.toSMul.{u1, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (Module.toMulActionWithZero.{u1, u3} R A _inst_3 _inst_4 _inst_6)))) N (SMulZeroClass.toSMul.{u1, u2} R _inst_2 (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R _inst_2 (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R _inst_2 (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (Module.toMulActionWithZero.{u1, u2} R _inst_2 _inst_3 _inst_5 _inst_7)))) _inst_8] (_inst_10 : LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8), Eq.{max (succ u3) (succ u2)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => _inst_2) a) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3)) A _inst_2 _inst_4 _inst_5 _inst_6 _inst_7) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R A _inst_2 _inst_3 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3))) (LinearMap.restrictScalars.{u1, u4, u3, u2} R _inst_1 A _inst_2 _inst_3 M _inst_4 _inst_5 _inst_6 _inst_7 N _inst_8 _inst_9 _inst_10)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 A _inst_2 M M _inst_4 _inst_5 N _inst_8 (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M))) _inst_10)
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_coe_is_scalar_tower LinearMap.coe_restrictScalarsₓ'. -/
 @[simp, norm_cast squash]
 theorem coe_restrictScalars (f : M →ₗ[A] N) : ((f : M →ₗ[R] N) : M → N) = f :=

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

@@ -1508,7 +1508,7 @@ theorem coe_restrictScalars (f : M →ₗ[A] N) : ((f : M →ₗ[R] N) : M → N
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommRing.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))], LinearMap.{u3, u3, max u2 u3, max u2 u3} A A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15)))))) (LinearMap.module.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (Semiring.toModule.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))) (LinearMap.ltoFun._proof_1.{u1, u3} R A _inst_12 _inst_15 _inst_16)) (Pi.Function.module.{u2, u3, u3} M A A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) (Semiring.toModule.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))))
 but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommSemiring.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15)], LinearMap.{u3, u3, max u3 u2, max u2 u3} A A (CommSemiring.toSemiring.{u3} A _inst_15) (CommSemiring.toSemiring.{u3} A _inst_15) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (CommSemiring.toSemiring.{u3} A _inst_15) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (Algebra.to_smulCommClass.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (Pi.module.{u2, u3, u3} M (fun (a._@.Mathlib.Algebra.Algebra.Basic._hyg.6659 : M) => A) A (CommSemiring.toSemiring.{u3} A _inst_15) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (fun (i : M) => Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))
+  forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommSemiring.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15)], LinearMap.{u3, u3, max u3 u2, max u2 u3} A A (CommSemiring.toSemiring.{u3} A _inst_15) (CommSemiring.toSemiring.{u3} A _inst_15) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (CommSemiring.toSemiring.{u3} A _inst_15) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (Algebra.to_smulCommClass.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (Pi.module.{u2, u3, u3} M (fun (a._@.Mathlib.Algebra.Algebra.Basic._hyg.6660 : M) => A) A (CommSemiring.toSemiring.{u3} A _inst_15) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (fun (i : M) => Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))
 Case conversion may be inaccurate. Consider using '#align linear_map.lto_fun LinearMap.ltoFunₓ'. -/
 /-- `A`-linearly coerce a `R`-linear map from `M` to `A` to a function, given an algebra `A` over
 a commutative semiring `R` and `M` a module over `R`. -/

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

@@ -298,7 +298,7 @@ end algebraMap
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} S] (i : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)), (forall (c : R) (x : S), Eq.{succ u2} S (HMul.hMul.{u2, u2, u2} S S S (instHMul.{u2} S (Distrib.toHasMul.{u2} S (NonUnitalNonAssocSemiring.toDistrib.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) i c) x) (HMul.hMul.{u2, u2, u2} S S S (instHMul.{u2} S (Distrib.toHasMul.{u2} S (NonUnitalNonAssocSemiring.toDistrib.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) i c))) -> (Algebra.{u1, u2} R S _inst_1 _inst_2)
 but is expected to have type
-  forall {R : Type.{u1}} {S : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} S] (i : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)), (forall (c : R) (x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) _inst_2)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2))))) i c) x) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) _inst_2)))) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2))))) i c))) -> (Algebra.{u1, u2} R S _inst_1 _inst_2)
+  forall {R : Type.{u1}} {S : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} S] (i : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)), (forall (c : R) (x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) _inst_2)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2))))) i c) x) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) c) _inst_2)))) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2))))) i c))) -> (Algebra.{u1, u2} R S _inst_1 _inst_2)
 Case conversion may be inaccurate. Consider using '#align ring_hom.to_algebra' RingHom.toAlgebra'ₓ'. -/
 /-- Creating an algebra from a morphism to the center of a semiring. -/
 def RingHom.toAlgebra' {R S} [CommSemiring R] [Semiring S] (i : R →+* S)
@@ -390,7 +390,7 @@ private theorem smul_def'' (r : R) (x : A) : r • x = algebraMap R A r * x :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_7 : CommSemiring.{u1} R] {A : Type.{u2}} [_inst_8 : Semiring.{u2} A] (P : Algebra.{u1, u2} R A _inst_7 _inst_8) (Q : Algebra.{u1, u2} R A _inst_7 _inst_8), (forall (r : R), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_7)) (Semiring.toNonAssocSemiring.{u2} A _inst_8)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_7)) (Semiring.toNonAssocSemiring.{u2} A _inst_8)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_7)) (Semiring.toNonAssocSemiring.{u2} A _inst_8)) (algebraMap.{u1, u2} R A _inst_7 _inst_8 P) r) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_7)) (Semiring.toNonAssocSemiring.{u2} A _inst_8)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_7)) (Semiring.toNonAssocSemiring.{u2} A _inst_8)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_7)) (Semiring.toNonAssocSemiring.{u2} A _inst_8)) (algebraMap.{u1, u2} R A _inst_7 _inst_8 Q) r)) -> (Eq.{max (succ u1) (succ u2)} (Algebra.{u1, u2} R A _inst_7 _inst_8) P Q)
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_7 : CommSemiring.{u2} R] {A : Type.{u1}} [_inst_8 : Semiring.{u1} A] (P : Algebra.{u2, u1} R A _inst_7 _inst_8) (Q : Algebra.{u2, u1} R A _inst_7 _inst_8), (forall (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8))))) (algebraMap.{u2, u1} R A _inst_7 _inst_8 P) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8))))) (algebraMap.{u2, u1} R A _inst_7 _inst_8 Q) r)) -> (Eq.{max (succ u2) (succ u1)} (Algebra.{u2, u1} R A _inst_7 _inst_8) P Q)
+  forall {R : Type.{u2}} [_inst_7 : CommSemiring.{u2} R] {A : Type.{u1}} [_inst_8 : Semiring.{u1} A] (P : Algebra.{u2, u1} R A _inst_7 _inst_8) (Q : Algebra.{u2, u1} R A _inst_7 _inst_8), (forall (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8))))) (algebraMap.{u2, u1} R A _inst_7 _inst_8 P) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8))))) (algebraMap.{u2, u1} R A _inst_7 _inst_8 Q) r)) -> (Eq.{max (succ u2) (succ u1)} (Algebra.{u2, u1} R A _inst_7 _inst_8) P Q)
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_ext Algebra.algebra_extₓ'. -/
 -- We'll later use this to show `algebra ℤ M` is a subsingleton.
 /-- To prove two algebra structures on a fixed `[comm_semiring R] [semiring A]` agree,
@@ -439,7 +439,7 @@ attribute [instance 0] Algebra.toHasSmul
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R) (x : A), Eq.{succ u2} A (SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4))))) r x) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) x)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R) (x : A), Eq.{succ u2} A (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_3 _inst_4)) r x) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) x)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R) (x : A), Eq.{succ u2} A (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_3 _inst_4)) r x) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) x)
 Case conversion may be inaccurate. Consider using '#align algebra.smul_def Algebra.smul_defₓ'. -/
 theorem smul_def (r : R) (x : A) : r • x = algebraMap R A r * x :=
   Algebra.smul_def' r x
@@ -449,7 +449,7 @@ theorem smul_def (r : R) (x : A) : r • x = algebraMap R A r * x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4))))) r (OfNat.ofNat.{u2} A 1 (OfNat.mk.{u2} A 1 (One.one.{u2} A (AddMonoidWithOne.toOne.{u2} A (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} A (NonAssocSemiring.toAddCommMonoidWithOne.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_3 _inst_4)) r (OfNat.ofNat.{u2} A 1 (One.toOfNat1.{u2} A (Semiring.toOne.{u2} A _inst_3))))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_3 _inst_4)) r (OfNat.ofNat.{u2} A 1 (One.toOfNat1.{u2} A (Semiring.toOne.{u2} A _inst_3))))
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_eq_smul_one Algebra.algebraMap_eq_smul_oneₓ'. -/
 theorem algebraMap_eq_smul_one (r : R) : algebraMap R A r = r • 1 :=
   calc
@@ -462,7 +462,7 @@ theorem algebraMap_eq_smul_one (r : R) : algebraMap R A r = r • 1 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (R -> A) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (r : R) => SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4))))) r (OfNat.ofNat.{u2} A 1 (OfNat.mk.{u2} A 1 (One.one.{u2} A (AddMonoidWithOne.toOne.{u2} A (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} A (NonAssocSemiring.toAddCommMonoidWithOne.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (forall (ᾰ : R), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) ᾰ) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (r : R) => HSMul.hSMul.{u1, u2, u2} R A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (instHSMul.{u1, u2} R A (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_3 _inst_4)) r (OfNat.ofNat.{u2} A 1 (One.toOfNat1.{u2} A (Semiring.toOne.{u2} A _inst_3))))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (forall (ᾰ : R), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) ᾰ) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (r : R) => HSMul.hSMul.{u1, u2, u2} R A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (instHSMul.{u1, u2} R A (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_3 _inst_4)) r (OfNat.ofNat.{u2} A 1 (One.toOfNat1.{u2} A (Semiring.toOne.{u2} A _inst_3))))
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_eq_smul_one' Algebra.algebraMap_eq_smul_one'ₓ'. -/
 theorem algebraMap_eq_smul_one' : ⇑(algebraMap R A) = fun r => r • (1 : A) :=
   funext algebraMap_eq_smul_one
@@ -472,7 +472,7 @@ theorem algebraMap_eq_smul_one' : ⇑(algebraMap R A) = fun r => r • (1 : A) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R) (x : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) x) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R) (x : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) x) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R) (x : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) x) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
 Case conversion may be inaccurate. Consider using '#align algebra.commutes Algebra.commutesₓ'. -/
 /-- `mul_comm` for `algebra`s when one element is from the base ring. -/
 theorem commutes (r : R) (x : A) : algebraMap R A r * x = x * algebraMap R A r :=
@@ -483,7 +483,7 @@ theorem commutes (r : R) (x : A) : algebraMap R A r * x = x * algebraMap R A r :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (x : A) (r : R) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) x (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) y)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) x y))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (x : A) (r : R) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) y)) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x y))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (x : A) (r : R) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) y)) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x y))
 Case conversion may be inaccurate. Consider using '#align algebra.left_comm Algebra.left_commₓ'. -/
 /-- `mul_left_comm` for `algebra`s when one element is from the base ring. -/
 theorem left_comm (x : A) (r : R) (y : A) :
@@ -495,7 +495,7 @@ theorem left_comm (x : A) (r : R) (y : A) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (x : A) (r : R) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)) y) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) x y) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (x : A) (r : R) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)) y) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x y) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (x : A) (r : R) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)) y) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x y) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
 Case conversion may be inaccurate. Consider using '#align algebra.right_comm Algebra.right_commₓ'. -/
 /-- `mul_right_comm` for `algebra`s when one element is from the base ring. -/
 theorem right_comm (x : A) (r : R) (y : A) : x * algebraMap R A r * y = x * y * algebraMap R A r :=
@@ -544,7 +544,7 @@ protected theorem smul_mul_assoc (r : R) (x y : A) : r • x * y = r • (x * y)
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] {α : Type.{u3}} [_inst_7 : Monoid.{u3} α] [_inst_8 : MulDistribMulAction.{u3, u2} α A _inst_7 (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_3))] [_inst_9 : SMulCommClass.{u3, u1, u2} α R A (MulAction.toHasSmul.{u3, u2} α A _inst_7 (MulDistribMulAction.toMulAction.{u3, u2} α A _inst_7 (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_3)) _inst_8)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)))))] (a : α) (r : R), Eq.{succ u2} A (SMul.smul.{u3, u2} α A (MulAction.toHasSmul.{u3, u2} α A _inst_7 (MulDistribMulAction.toMulAction.{u3, u2} α A _inst_7 (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_3)) _inst_8)) a (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u2, u3} R A _inst_1 _inst_3] {α : Type.{u1}} [_inst_7 : Monoid.{u1} α] [_inst_8 : MulDistribMulAction.{u1, u3} α A _inst_7 (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_3))] [_inst_9 : SMulCommClass.{u1, u2, u3} α R A (MulAction.toSMul.{u1, u3} α A _inst_7 (MulDistribMulAction.toMulAction.{u1, u3} α A _inst_7 (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_3)) _inst_8)) (Algebra.toSMul.{u2, u3} R A _inst_1 _inst_3 _inst_4)] (a : α) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (HSMul.hSMul.{u1, u3, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (instHSMul.{u1, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (MulAction.toSMul.{u1, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_7 (MulDistribMulAction.toMulAction.{u1, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_7 (MonoidWithZero.toMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_3)) _inst_8))) a (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r)
+  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u2, u3} R A _inst_1 _inst_3] {α : Type.{u1}} [_inst_7 : Monoid.{u1} α] [_inst_8 : MulDistribMulAction.{u1, u3} α A _inst_7 (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_3))] [_inst_9 : SMulCommClass.{u1, u2, u3} α R A (MulAction.toSMul.{u1, u3} α A _inst_7 (MulDistribMulAction.toMulAction.{u1, u3} α A _inst_7 (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_3)) _inst_8)) (Algebra.toSMul.{u2, u3} R A _inst_1 _inst_3 _inst_4)] (a : α) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (HSMul.hSMul.{u1, u3, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (instHSMul.{u1, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (MulAction.toSMul.{u1, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_7 (MulDistribMulAction.toMulAction.{u1, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_7 (MonoidWithZero.toMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_3)) _inst_8))) a (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r)
 Case conversion may be inaccurate. Consider using '#align smul_algebra_map smul_algebraMapₓ'. -/
 @[simp]
 theorem smul_algebraMap {α : Type _} [Monoid α] [MulDistribMulAction α A] [SMulCommClass α R A]
@@ -663,7 +663,7 @@ protected def linearMap : R →ₗ[R] A :=
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) => R -> A) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
 but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => A) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => A) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
 Case conversion may be inaccurate. Consider using '#align algebra.linear_map_apply Algebra.linearMap_applyₓ'. -/
 @[simp]
 theorem linearMap_apply (r : R) : Algebra.linearMap R A r = algebraMap R A r :=
@@ -674,7 +674,7 @@ theorem linearMap_apply (r : R) : Algebra.linearMap R A r = algebraMap R A r :=
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (R -> A) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) => R -> A) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4))
 but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (forall (ᾰ : R), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => A) ᾰ) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4))
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (forall (ᾰ : R), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => A) ᾰ) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4))
 Case conversion may be inaccurate. Consider using '#align algebra.coe_linear_map Algebra.coe_linearMapₓ'. -/
 theorem coe_linearMap : ⇑(Algebra.linearMap R A) = algebraMap R A :=
   rfl
@@ -701,7 +701,7 @@ theorem map_eq_id : algebraMap R R = RingHom.id _ :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (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))) (algebraMap.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1)) x) x
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (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)))))) (algebraMap.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1)) x) x
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (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)))))) (algebraMap.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1)) x) x
 Case conversion may be inaccurate. Consider using '#align algebra.id.map_eq_self Algebra.id.map_eq_selfₓ'. -/
 theorem map_eq_self (x : R) : algebraMap R R x = x :=
   rfl
@@ -743,7 +743,7 @@ instance PUnit.algebra : Algebra R PUnit
 lean 3 declaration is
   forall {R : Type.{u}} [_inst_1 : CommSemiring.{u} R] (r : R), Eq.{succ u_1} PUnit.{succ u_1} (coeFn.{max (succ u) (succ u_1), max (succ u) (succ u_1)} (RingHom.{u, u_1} R PUnit.{succ u_1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{u_1} PUnit.{succ u_1} (Ring.toSemiring.{u_1} PUnit.{succ u_1} (CommRing.toRing.{u_1} PUnit.{succ u_1} PUnit.commRing.{u_1})))) (fun (_x : RingHom.{u, u_1} R PUnit.{succ u_1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{u_1} PUnit.{succ u_1} (Ring.toSemiring.{u_1} PUnit.{succ u_1} (CommRing.toRing.{u_1} PUnit.{succ u_1} PUnit.commRing.{u_1})))) => R -> PUnit.{succ u_1}) (RingHom.hasCoeToFun.{u, u_1} R PUnit.{succ u_1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{u_1} PUnit.{succ u_1} (Ring.toSemiring.{u_1} PUnit.{succ u_1} (CommRing.toRing.{u_1} PUnit.{succ u_1} PUnit.commRing.{u_1})))) (algebraMap.{u, u_1} R PUnit.{succ u_1} _inst_1 (Ring.toSemiring.{u_1} PUnit.{succ u_1} (CommRing.toRing.{u_1} PUnit.{succ u_1} PUnit.commRing.{u_1})) (PUnit.algebra.{u, u_1} R _inst_1)) r) PUnit.unit.{succ u_1}
 but is expected to have type
-  forall {R : Type.{u}} [_inst_1 : CommSemiring.{u} R] (r : R), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => PUnit.{1}) r) (FunLike.coe.{succ u, succ u, 1} (RingHom.{u, 0} R PUnit.{1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0})))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => PUnit.{1}) _x) (MulHomClass.toFunLike.{u, u, 0} (RingHom.{u, 0} R PUnit.{1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0})))) R PUnit.{1} (NonUnitalNonAssocSemiring.toMul.{u} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u} R (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{0} PUnit.{1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} PUnit.{1} (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0}))))) (NonUnitalRingHomClass.toMulHomClass.{u, u, 0} (RingHom.{u, 0} R PUnit.{1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0})))) R PUnit.{1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u} R (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} PUnit.{1} (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0})))) (RingHomClass.toNonUnitalRingHomClass.{u, u, 0} (RingHom.{u, 0} R PUnit.{1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0})))) R PUnit.{1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0}))) (RingHom.instRingHomClassRingHom.{u, 0} R PUnit.{1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0}))))))) (algebraMap.{u, 0} R PUnit.{1} _inst_1 (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0})) (PUnit.algebra.{u} R _inst_1)) r) PUnit.unit.{1}
+  forall {R : Type.{u}} [_inst_1 : CommSemiring.{u} R] (r : R), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => PUnit.{1}) r) (FunLike.coe.{succ u, succ u, 1} (RingHom.{u, 0} R PUnit.{1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0})))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => PUnit.{1}) _x) (MulHomClass.toFunLike.{u, u, 0} (RingHom.{u, 0} R PUnit.{1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0})))) R PUnit.{1} (NonUnitalNonAssocSemiring.toMul.{u} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u} R (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{0} PUnit.{1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} PUnit.{1} (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0}))))) (NonUnitalRingHomClass.toMulHomClass.{u, u, 0} (RingHom.{u, 0} R PUnit.{1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0})))) R PUnit.{1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u} R (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} PUnit.{1} (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0})))) (RingHomClass.toNonUnitalRingHomClass.{u, u, 0} (RingHom.{u, 0} R PUnit.{1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0})))) R PUnit.{1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0}))) (RingHom.instRingHomClassRingHom.{u, 0} R PUnit.{1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0}))))))) (algebraMap.{u, 0} R PUnit.{1} _inst_1 (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0})) (PUnit.algebra.{u} R _inst_1)) r) PUnit.unit.{1}
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_punit Algebra.algebraMap_pUnitₓ'. -/
 @[simp]
 theorem algebraMap_pUnit (r : R) : algebraMap R PUnit r = PUnit.unit :=
@@ -769,7 +769,7 @@ instance ULift.algebra : Algebra R (ULift A) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ (max u2 u3)} (ULift.{u3, u2} A) (coeFn.{max (succ u1) (succ (max u2 u3)), max (succ u1) (succ (max u2 u3))} (RingHom.{u1, max u2 u3} R (ULift.{u3, u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (ULift.{u3, u2} A) (ULift.semiring.{u2, u3} A _inst_3))) (fun (_x : RingHom.{u1, max u2 u3} R (ULift.{u3, u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (ULift.{u3, u2} A) (ULift.semiring.{u2, u3} A _inst_3))) => R -> (ULift.{u3, u2} A)) (RingHom.hasCoeToFun.{u1, max u2 u3} R (ULift.{u3, u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (ULift.{u3, u2} A) (ULift.semiring.{u2, u3} A _inst_3))) (algebraMap.{u1, max u2 u3} R (ULift.{u3, u2} A) _inst_1 (ULift.semiring.{u2, u3} A _inst_3) (ULift.algebra.{u1, u2, u3} R A _inst_1 _inst_3 _inst_4)) r) (ULift.up.{u3, u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u2, u3} R A _inst_1 _inst_3] (r : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => ULift.{u1, u3} A) r) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u2, max (succ u3) (succ u1)} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => ULift.{u1, u3} A) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)) (RingHom.instRingHomClassRingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))))) (algebraMap.{u2, max u3 u1} R (ULift.{u1, u3} A) _inst_1 (ULift.semiring.{u3, u1} A _inst_3) (ULift.algebra.{u2, u3, u1} R A _inst_1 _inst_3 _inst_4)) r) (ULift.up.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r))
+  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u2, u3} R A _inst_1 _inst_3] (r : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => ULift.{u1, u3} A) r) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u2, max (succ u3) (succ u1)} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => ULift.{u1, u3} A) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)) (RingHom.instRingHomClassRingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))))) (algebraMap.{u2, max u3 u1} R (ULift.{u1, u3} A) _inst_1 (ULift.semiring.{u3, u1} A _inst_3) (ULift.algebra.{u2, u3, u1} R A _inst_1 _inst_3 _inst_4)) r) (ULift.up.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r))
 Case conversion may be inaccurate. Consider using '#align ulift.algebra_map_eq ULift.algebraMap_eqₓ'. -/
 theorem ULift.algebraMap_eq (r : R) : algebraMap R (ULift A) r = ULift.up (algebraMap R A r) :=
   rfl
@@ -779,7 +779,7 @@ theorem ULift.algebraMap_eq (r : R) : algebraMap R (ULift A) r = ULift.up (algeb
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} A (ULift.down.{u3, u2} A (coeFn.{max (succ u1) (succ (max u2 u3)), max (succ u1) (succ (max u2 u3))} (RingHom.{u1, max u2 u3} R (ULift.{u3, u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (ULift.{u3, u2} A) (ULift.semiring.{u2, u3} A _inst_3))) (fun (_x : RingHom.{u1, max u2 u3} R (ULift.{u3, u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (ULift.{u3, u2} A) (ULift.semiring.{u2, u3} A _inst_3))) => R -> (ULift.{u3, u2} A)) (RingHom.hasCoeToFun.{u1, max u2 u3} R (ULift.{u3, u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (ULift.{u3, u2} A) (ULift.semiring.{u2, u3} A _inst_3))) (algebraMap.{u1, max u2 u3} R (ULift.{u3, u2} A) _inst_1 (ULift.semiring.{u2, u3} A _inst_3) (ULift.algebra.{u1, u2, u3} R A _inst_1 _inst_3 _inst_4)) r)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u2, u3} R A _inst_1 _inst_3] (r : R), Eq.{succ u3} A (ULift.down.{u1, u3} A (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u2, max (succ u3) (succ u1)} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => ULift.{u1, u3} A) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)) (RingHom.instRingHomClassRingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))))) (algebraMap.{u2, max u3 u1} R (ULift.{u1, u3} A) _inst_1 (ULift.semiring.{u3, u1} A _inst_3) (ULift.algebra.{u2, u3, u1} R A _inst_1 _inst_3 _inst_4)) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r)
+  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u2, u3} R A _inst_1 _inst_3] (r : R), Eq.{succ u3} A (ULift.down.{u1, u3} A (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u2, max (succ u3) (succ u1)} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => ULift.{u1, u3} A) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)) (RingHom.instRingHomClassRingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))))) (algebraMap.{u2, max u3 u1} R (ULift.{u1, u3} A) _inst_1 (ULift.semiring.{u3, u1} A _inst_3) (ULift.algebra.{u2, u3, u1} R A _inst_1 _inst_3 _inst_4)) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r)
 Case conversion may be inaccurate. Consider using '#align ulift.down_algebra_map ULift.down_algebraMapₓ'. -/
 @[simp]
 theorem ULift.down_algebraMap (r : R) : (algebraMap R (ULift A) r).down = algebraMap R A r :=
@@ -817,7 +817,7 @@ theorem algebraMap_ofSubsemiring (S : Subsemiring R) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (S : Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))), Eq.{succ u1} ((fun (_x : RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) -> R) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) -> R) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.Mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.hasMem.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S))
 but is expected to have type
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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) a) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))))) (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} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun 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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S))
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (S : Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))), Eq.{succ u1} (forall (a : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) a) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))))) (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} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S))
 Case conversion may be inaccurate. Consider using '#align algebra.coe_algebra_map_of_subsemiring Algebra.coe_algebraMap_ofSubsemiringₓ'. -/
 theorem coe_algebraMap_ofSubsemiring (S : Subsemiring R) : (algebraMap S R : S → R) = Subtype.val :=
   rfl
@@ -827,7 +827,7 @@ theorem coe_algebraMap_ofSubsemiring (S : Subsemiring R) : (algebraMap S R : S 
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (S : Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (x : coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) -> R) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S)) x) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (coeSubtype.{succ u1} R (fun (x : R) => Membership.Mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.hasMem.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S))))) x)
 but is expected to have type
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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) x) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R 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(CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun 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S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S)) x) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Set.{u1} R) (Set.instMembershipSet.{u1} R) x (SetLike.coe.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) S)) x)
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (S : Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) x) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))))) (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} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S)) x) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Set.{u1} R) (Set.instMembershipSet.{u1} R) x (SetLike.coe.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) S)) x)
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_of_subsemiring_apply Algebra.algebraMap_ofSubsemiring_applyₓ'. -/
 theorem algebraMap_ofSubsemiring_apply (S : Subsemiring R) (x : S) : algebraMap S R x = x :=
   rfl
@@ -860,7 +860,7 @@ theorem algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)), Eq.{succ u1} ((fun (_x : RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) => (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) -> R) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (fun (_x : RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) => (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) -> R) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.Mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.hasMem.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S))
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)), Eq.{succ u1} (forall (a : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) a) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7))))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S))
+  forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)), Eq.{succ u1} (forall (a : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) a) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7))))) 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(CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7))))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S))
 Case conversion may be inaccurate. Consider using '#align algebra.coe_algebra_map_of_subring Algebra.coe_algebraMap_ofSubringₓ'. -/
 theorem coe_algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
     (algebraMap S R : S → R) = Subtype.val :=
@@ -871,7 +871,7 @@ theorem coe_algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (x : coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} 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R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) => (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) -> R) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S)) x) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (coeSubtype.{succ u1} R (fun (x : R) => Membership.Mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.hasMem.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S))))) x)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) x) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7))))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S)) x) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Set.{u1} R) (Set.instMembershipSet.{u1} R) x (SetLike.coe.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S)) x)
+  forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) x) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R 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(CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7))))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S)) x) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Set.{u1} R) (Set.instMembershipSet.{u1} R) x (SetLike.coe.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S)) x)
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_of_subring_apply Algebra.algebraMap_ofSubring_applyₓ'. -/
 theorem algebraMap_ofSubring_apply {R : Type _} [CommRing R] (S : Subring R) (x : S) :
     algebraMap S R x = x :=
@@ -890,7 +890,7 @@ def algebraMapSubmonoid (S : Type _) [Semiring S] [Algebra R S] (M : Submonoid R
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u2}} [_inst_7 : Semiring.{u2} S] [_inst_8 : Algebra.{u1, u2} R S _inst_1 _inst_7] {M : Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))} (x : coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) M), Membership.Mem.{u2, u2} S (Submonoid.{u2} S (MulZeroOneClass.toMulOneClass.{u2} S (NonAssocSemiring.toMulZeroOneClass.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_7)))) (SetLike.hasMem.{u2, u2} (Submonoid.{u2} S (MulZeroOneClass.toMulOneClass.{u2} S (NonAssocSemiring.toMulZeroOneClass.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_7)))) S (Submonoid.setLike.{u2} S (MulZeroOneClass.toMulOneClass.{u2} S (NonAssocSemiring.toMulZeroOneClass.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_7))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_7)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_7)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_7)) (algebraMap.{u1, u2} R S _inst_1 _inst_7 _inst_8) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) M) R (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) M) R (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) M) R (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) M) R (coeSubtype.{succ u1} R (fun (x : R) => Membership.Mem.{u1, u1} R (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) x M))))) x)) (Algebra.algebraMapSubmonoid.{u1, u2} R _inst_1 S _inst_7 _inst_8 M)
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] {S : Type.{u1}} [_inst_7 : Semiring.{u1} S] [_inst_8 : Algebra.{u2, u1} R S _inst_1 _inst_7] {M : Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))} (x : Subtype.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) x M)), Membership.mem.{u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) (Subtype.val.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Set.{u2} R) (Set.instMembershipSet.{u2} R) x (SetLike.coe.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) M)) x)) (Submonoid.{u1} S (MulZeroOneClass.toMulOneClass.{u1} S (NonAssocSemiring.toMulZeroOneClass.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7)))) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} S (MulZeroOneClass.toMulOneClass.{u1} S (NonAssocSemiring.toMulZeroOneClass.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7)))) S (Submonoid.instSetLikeSubmonoid.{u1} S (MulZeroOneClass.toMulOneClass.{u1} S (NonAssocSemiring.toMulZeroOneClass.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7))))) (algebraMap.{u2, u1} R S _inst_1 _inst_7 _inst_8) (Subtype.val.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Set.{u2} R) (Set.instMembershipSet.{u2} R) x (SetLike.coe.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) M)) x)) (Algebra.algebraMapSubmonoid.{u2, u1} R _inst_1 S _inst_7 _inst_8 M)
+  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] {S : Type.{u1}} [_inst_7 : Semiring.{u1} S] [_inst_8 : Algebra.{u2, u1} R S _inst_1 _inst_7] {M : Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))} (x : Subtype.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) x M)), Membership.mem.{u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) (Subtype.val.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Set.{u2} R) (Set.instMembershipSet.{u2} R) x (SetLike.coe.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) M)) x)) (Submonoid.{u1} S (MulZeroOneClass.toMulOneClass.{u1} S (NonAssocSemiring.toMulZeroOneClass.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7)))) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} S (MulZeroOneClass.toMulOneClass.{u1} S (NonAssocSemiring.toMulZeroOneClass.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7)))) S (Submonoid.instSetLikeSubmonoid.{u1} S (MulZeroOneClass.toMulOneClass.{u1} S (NonAssocSemiring.toMulZeroOneClass.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7))))) (algebraMap.{u2, u1} R S _inst_1 _inst_7 _inst_8) (Subtype.val.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Set.{u2} R) (Set.instMembershipSet.{u2} R) x (SetLike.coe.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) M)) x)) (Algebra.algebraMapSubmonoid.{u2, u1} R _inst_1 S _inst_7 _inst_8 M)
 Case conversion may be inaccurate. Consider using '#align algebra.mem_algebra_map_submonoid_of_mem Algebra.mem_algebraMapSubmonoid_of_memₓ'. -/
 theorem mem_algebraMapSubmonoid_of_mem {S : Type _} [Semiring S] [Algebra R S] {M : Submonoid R}
     (x : M) : algebraMap R S x ∈ algebraMapSubmonoid S M :=
@@ -907,7 +907,7 @@ variable [CommSemiring R]
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2))) x (HSub.hSub.{u2, u2, u2} A A A (instHSub.{u2} A (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddGroupWithOne.toAddGroup.{u2} A (AddCommGroupWithOne.toAddGroupWithOne.{u2} A (Ring.toAddCommGroupWithOne.{u2} A _inst_2)))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2))) (HSub.hSub.{u2, u2, u2} A A A (instHSub.{u2} A (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddGroupWithOne.toAddGroup.{u2} A (AddCommGroupWithOne.toAddGroupWithOne.{u2} A (Ring.toAddCommGroupWithOne.{u2} A _inst_2)))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) x)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) x (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) x)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) x (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) x)
 Case conversion may be inaccurate. Consider using '#align algebra.mul_sub_algebra_map_commutes Algebra.mul_sub_algebraMap_commutesₓ'. -/
 theorem mul_sub_algebraMap_commutes [Ring A] [Algebra R A] (x : A) (r : R) :
     x * (x - algebraMap R A r) = (x - algebraMap R A r) * x := by rw [mul_sub, ← commutes, sub_mul]
@@ -917,7 +917,7 @@ theorem mul_sub_algebraMap_commutes [Ring A] [Algebra R A] (x : A) (r : R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R) (n : Nat), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2))) x (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (Ring.toMonoid.{u2} A _inst_2))) (HSub.hSub.{u2, u2, u2} A A A (instHSub.{u2} A (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddGroupWithOne.toAddGroup.{u2} A (AddCommGroupWithOne.toAddGroupWithOne.{u2} A (Ring.toAddCommGroupWithOne.{u2} A _inst_2)))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2))) (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (Ring.toMonoid.{u2} A _inst_2))) (HSub.hSub.{u2, u2, u2} A A A (instHSub.{u2} A (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddGroupWithOne.toAddGroup.{u2} A (AddCommGroupWithOne.toAddGroupWithOne.{u2} A (Ring.toAddCommGroupWithOne.{u2} A _inst_2)))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n) x)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R) (n : Nat), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) x (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2))))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2))))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n) x)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R) (n : Nat), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) x (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2))))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2))))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n) x)
 Case conversion may be inaccurate. Consider using '#align algebra.mul_sub_algebra_map_pow_commutes Algebra.mul_sub_algebraMap_pow_commutesₓ'. -/
 theorem mul_sub_algebraMap_pow_commutes [Ring A] [Algebra R A] (x : A) (r : R) (n : ℕ) :
     x * (x - algebraMap R A r) ^ n = (x - algebraMap R A r) ^ n * x :=
@@ -968,7 +968,7 @@ instance : Algebra R Aᵐᵒᵖ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (c : R), Eq.{succ u2} (MulOpposite.{u2} A) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) => R -> (MulOpposite.{u2} A)) (RingHom.hasCoeToFun.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R (MulOpposite.{u2} A) _inst_1 (MulOpposite.semiring.{u2} A _inst_2) (MulOpposite.algebra.{u1, u2} R A _inst_1 _inst_2 _inst_3)) c) (MulOpposite.op.{u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) c))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (c : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MulOpposite.{u2} A) c) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MulOpposite.{u2} A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) R (MulOpposite.{u2} A) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (MulOpposite.{u2} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) R (MulOpposite.{u2} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R (MulOpposite.{u2} A) _inst_1 (MulOpposite.semiring.{u2} A _inst_2) (MulOpposite.instAlgebraMulOppositeSemiring.{u1, u2} R A _inst_1 _inst_2 _inst_3)) c) (MulOpposite.op.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) c) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) c))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (c : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MulOpposite.{u2} A) c) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => MulOpposite.{u2} A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) R (MulOpposite.{u2} A) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (MulOpposite.{u2} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) R (MulOpposite.{u2} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R (MulOpposite.{u2} A) _inst_1 (MulOpposite.semiring.{u2} A _inst_2) (MulOpposite.instAlgebraMulOppositeSemiring.{u1, u2} R A _inst_1 _inst_2 _inst_3)) c) (MulOpposite.op.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) c) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) c))
 Case conversion may be inaccurate. Consider using '#align mul_opposite.algebra_map_apply MulOpposite.algebraMap_applyₓ'. -/
 @[simp]
 theorem algebraMap_apply (c : R) : algebraMap R Aᵐᵒᵖ c = op (algebraMap R A c) :=
@@ -988,7 +988,7 @@ instance : Algebra R (Module.End R M) :=
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R), Eq.{succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) (SMul.smul.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (LinearMap.hasSmul.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) a (LinearMap.id.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))
 but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) (HSMul.hSMul.{u1, u2, u2} R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (instHSMul.{u1, u2} R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearMap.instSMulLinearMap.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) a (LinearMap.id.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))
+  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) (HSMul.hSMul.{u1, u2, u2} R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (instHSMul.{u1, u2} R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearMap.instSMulLinearMap.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) a (LinearMap.id.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))
 Case conversion may be inaccurate. Consider using '#align module.algebra_map_End_eq_smul_id Module.algebraMap_end_eq_smul_idₓ'. -/
 theorem algebraMap_end_eq_smul_id (a : R) : (algebraMap R (End R M)) a = a • LinearMap.id :=
   rfl
@@ -998,7 +998,7 @@ theorem algebraMap_end_eq_smul_id (a : R) : (algebraMap R (End R M)) a = a • L
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R) (m : M), Eq.{succ u2} M (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) m) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) a m)
 but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R) (m : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) m) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) a m)
+  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R) (m : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) m) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) a m)
 Case conversion may be inaccurate. Consider using '#align module.algebra_map_End_apply Module.algebraMap_end_applyₓ'. -/
 @[simp]
 theorem algebraMap_end_apply (a : R) (m : M) : (algebraMap R (End R M)) a m = a • m :=
@@ -1009,7 +1009,7 @@ theorem algebraMap_end_apply (a : R) (m : M) : (algebraMap R (End R M)) a m = a
 lean 3 declaration is
   forall (K : Type.{u1}) (V : Type.{u2}) [_inst_4 : Field.{u1} K] [_inst_5 : AddCommGroup.{u2} V] [_inst_6 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5)] (a : K), (Ne.{succ u1} K a (OfNat.ofNat.{u1} K 0 (OfNat.mk.{u1} K 0 (Zero.zero.{u1} K (MulZeroClass.toHasZero.{u1} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))))))))))) -> (Eq.{succ u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (LinearMap.ker.{u1, u1, u2, u2, u2} K K V V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))))) (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} K K V V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) (fun (_x : RingHom.{u1, u2} K (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) => K -> (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) (RingHom.hasCoeToFun.{u1, u2} K (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) (algebraMap.{u1, u2} K (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (Module.End.semiring.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.algebra.{u1, u2} K V (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) a)) (Bot.bot.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Submodule.hasBot.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))
 but is expected to have type
-  forall (K : Type.{u1}) (V : Type.{u2}) [_inst_4 : Field.{u1} K] [_inst_5 : AddCommGroup.{u2} V] [_inst_6 : Module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5)] (a : K), (Ne.{succ u1} K a (OfNat.ofNat.{u1} K 0 (Zero.toOfNat0.{u1} K (CommMonoidWithZero.toZero.{u1} K (CommGroupWithZero.toCommMonoidWithZero.{u1} K (Semifield.toCommGroupWithZero.{u1} K (Field.toSemifield.{u1} K _inst_4))))))) -> (Eq.{succ u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (LinearMap.ker.{u1, u1, u2, u2, u2} K K V V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : K) => Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) a) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} K K V V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (fun (_x : K) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : K) => Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) (RingHom.instRingHomClassRingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))))) (algebraMap.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} K V (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) a)) (Bot.bot.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Submodule.instBotSubmodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))
+  forall (K : Type.{u1}) (V : Type.{u2}) [_inst_4 : Field.{u1} K] [_inst_5 : AddCommGroup.{u2} V] [_inst_6 : Module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5)] (a : K), (Ne.{succ u1} K a (OfNat.ofNat.{u1} K 0 (Zero.toOfNat0.{u1} K (CommMonoidWithZero.toZero.{u1} K (CommGroupWithZero.toCommMonoidWithZero.{u1} K (Semifield.toCommGroupWithZero.{u1} K (Field.toSemifield.{u1} K _inst_4))))))) -> (Eq.{succ u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (LinearMap.ker.{u1, u1, u2, u2, u2} K K V V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : K) => Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) a) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} K K V V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (fun (_x : K) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : K) => Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) (RingHom.instRingHomClassRingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))))) (algebraMap.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} K V (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) a)) (Bot.bot.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Submodule.instBotSubmodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))
 Case conversion may be inaccurate. Consider using '#align module.ker_algebra_map_End Module.ker_algebraMap_endₓ'. -/
 @[simp]
 theorem ker_algebraMap_end (K : Type u) (V : Type v) [Field K] [AddCommGroup V] [Module K V] (a : K)
@@ -1063,7 +1063,7 @@ theorem End_isUnit_iff (f : Module.End R M) : IsUnit f ↔ Function.Bijective f
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M (coeFn.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (fun (x : Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) => M -> M) (coeFnTrans.{succ u2, succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeBaseAux.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Units.hasCoe.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (Inv.inv.{u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.hasInv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h)) m) m') (Eq.{succ u2} M m (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) x m'))
 but is expected to have type
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(CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m) m') (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m) m') (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
 Case conversion may be inaccurate. Consider using '#align module.End_algebra_map_is_unit_inv_apply_eq_iff Module.End_algebraMap_isUnit_inv_apply_eq_iffₓ'. -/
 theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
     (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) : h.Unit⁻¹ m = m' ↔ m = x • m' :=
@@ -1079,7 +1079,7 @@ theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M m' (coeFn.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (fun (x : Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) => M -> M) (coeFnTrans.{succ u2, succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeBaseAux.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Units.hasCoe.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (Inv.inv.{u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.hasInv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h)) m)) (Eq.{succ u2} M m (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) x m'))
 but is expected to have type
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: M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 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(RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m)) (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M m' (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m)) (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
 Case conversion may be inaccurate. Consider using '#align module.End_algebra_map_is_unit_inv_apply_eq_iff' Module.End_algebraMap_isUnit_inv_apply_eq_iff'ₓ'. -/
 theorem End_algebraMap_isUnit_inv_apply_eq_iff' {x : R}
     (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) : m' = h.Unit⁻¹ m ↔ m = x • m' :=
@@ -1104,7 +1104,7 @@ variable {R : Type _} {A : Type _} {B : Type _} [CommSemiring R] [Semiring A] [S
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u3} B] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u1, u3} R B _inst_1 _inst_3] (f : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f a))
 but is expected to have type
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(NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 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(CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) _inst_3)))) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3) (RingHom.instRingHomClassRingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3))))) (algebraMap.{u3, u1} R B _inst_1 _inst_3 _inst_5) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f a))
+  forall {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u1} B] [_inst_4 : Algebra.{u3, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u3, u1} R B _inst_1 _inst_3] (f : LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_2)))) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) a) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_2)))) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) _inst_3)))) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3) (RingHom.instRingHomClassRingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3))))) (algebraMap.{u3, u1} R B _inst_1 _inst_3 _inst_5) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f a))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_algebra_map_mul LinearMap.map_algebraMap_mulₓ'. -/
 /-- An alternate statement of `linear_map.map_smul` for when `algebra_map` is more convenient to
 work with than `•`. -/
@@ -1117,7 +1117,7 @@ theorem map_algebraMap_mul (f : A →ₗ[R] B) (a : A) (r : R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u3} B] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u1, u3} R B _inst_1 _inst_3] (f : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) a (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_4) r))) (HMul.hMul.{u3, u3, u3} B B B (instHMul.{u3} B (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) 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(Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f a) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (fun (_x : RingHom.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) => R -> B) (RingHom.hasCoeToFun.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (algebraMap.{u1, u3} R B _inst_1 _inst_3 _inst_5) r))
 but is expected to have type
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_inst_4) r))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) a (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) a) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) a) _inst_3)))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f a) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3) (RingHom.instRingHomClassRingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3))))) (algebraMap.{u3, u1} R B _inst_1 _inst_3 _inst_5) r))
+  forall {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u1} B] [_inst_4 : Algebra.{u3, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u3, u1} R B _inst_1 _inst_3] (f : LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) (HMul.hMul.{u2, u2, u2} A 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_inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) a (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r))) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) a) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) a) (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) a) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) a) _inst_3)))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f a) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => B) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3) (RingHom.instRingHomClassRingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3))))) (algebraMap.{u3, u1} R B _inst_1 _inst_3 _inst_5) r))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_mul_algebra_map LinearMap.map_mul_algebraMapₓ'. -/
 theorem map_mul_algebraMap (f : A →ₗ[R] B) (a : A) (r : R) :
     f (a * algebraMap R A r) = f a * algebraMap R B r := by
@@ -1161,7 +1161,7 @@ variable {R S : Type _}
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} [_inst_1 : Ring.{u1} R] [_inst_2 : Ring.{u2} S] [_inst_3 : Algebra.{0, u1} Rat R Rat.commSemiring (Ring.toSemiring.{u1} R _inst_1)] [_inst_4 : Algebra.{0, u2} Rat S Rat.commSemiring (Ring.toSemiring.{u2} S _inst_2)] (f : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2))) (r : Rat), Eq.{succ u2} S (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2))) (fun (_x : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2))) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2))) f (coeFn.{succ u1, succ u1} (RingHom.{0, u1} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{0, u1} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) => Rat -> R) (RingHom.hasCoeToFun.{0, u1} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (algebraMap.{0, u1} Rat R Rat.commSemiring (Ring.toSemiring.{u1} R _inst_1) _inst_3) r)) (coeFn.{succ u2, succ u2} (RingHom.{0, u2} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} S (Ring.toSemiring.{u2} S _inst_2))) (fun (_x : RingHom.{0, u2} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} S (Ring.toSemiring.{u2} S _inst_2))) => Rat -> S) (RingHom.hasCoeToFun.{0, u2} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} S (Ring.toSemiring.{u2} S _inst_2))) (algebraMap.{0, u2} Rat S Rat.commSemiring (Ring.toSemiring.{u2} S _inst_2) _inst_4) r)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_3 : Algebra.{0, u2} Rat R Rat.commSemiring _inst_1] [_inst_4 : Algebra.{0, u1} Rat S Rat.commSemiring _inst_2] (f : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (r : Rat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) (FunLike.coe.{succ u2, 1, succ u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat (fun (a : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Rat) => R) a) (MulHomClass.toFunLike.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1) (RingHom.instRingHomClassRingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (algebraMap.{0, u2} Rat R Rat.commSemiring _inst_1 _inst_3) r)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) f (FunLike.coe.{succ u2, 1, succ u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat (fun (_x : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Rat) => R) _x) (MulHomClass.toFunLike.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1) (RingHom.instRingHomClassRingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (algebraMap.{0, u2} Rat R Rat.commSemiring _inst_1 _inst_3) r)) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat (fun (_x : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Rat) => S) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) (algebraMap.{0, u1} Rat S Rat.commSemiring _inst_2 _inst_4) r)
+  forall {R : Type.{u2}} {S : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_3 : Algebra.{0, u2} Rat R Rat.commSemiring _inst_1] [_inst_4 : Algebra.{0, u1} Rat S Rat.commSemiring _inst_2] (f : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (r : Rat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) (FunLike.coe.{succ u2, 1, succ u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat (fun (a : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Rat) => R) a) (MulHomClass.toFunLike.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1) (RingHom.instRingHomClassRingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (algebraMap.{0, u2} Rat R Rat.commSemiring _inst_1 _inst_3) r)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) f (FunLike.coe.{succ u2, 1, succ u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat (fun (_x : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Rat) => R) _x) (MulHomClass.toFunLike.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1) (RingHom.instRingHomClassRingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (algebraMap.{0, u2} Rat R Rat.commSemiring _inst_1 _inst_3) r)) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat (fun (_x : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Rat) => S) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) (algebraMap.{0, u1} Rat S Rat.commSemiring _inst_2 _inst_4) r)
 Case conversion may be inaccurate. Consider using '#align ring_hom.map_rat_algebra_map RingHom.map_rat_algebraMapₓ'. -/
 -- note that `R`, `S` could be `semiring`s but this is useless mathematically speaking -
 -- a ℚ-algebra is a ring. furthermore, this change probably slows down elaboration.
@@ -1267,7 +1267,7 @@ open Algebra
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))], (Function.Injective.{succ u1, succ u2} R A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3))) -> (NoZeroSMulDivisors.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))))
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : Semiring.{u1} A] [_inst_3 : Algebra.{u2, u1} R A _inst_1 _inst_2] [_inst_4 : NoZeroDivisors.{u1} A (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_2))], (Function.Injective.{succ u2, succ u1} R A (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2))))) (algebraMap.{u2, u1} R A _inst_1 _inst_2 _inst_3))) -> (NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_2)) (Algebra.toSMul.{u2, u1} R A _inst_1 _inst_2 _inst_3))
+  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : Semiring.{u1} A] [_inst_3 : Algebra.{u2, u1} R A _inst_1 _inst_2] [_inst_4 : NoZeroDivisors.{u1} A (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_2))], (Function.Injective.{succ u2, succ u1} R A (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2))))) (algebraMap.{u2, u1} R A _inst_1 _inst_2 _inst_3))) -> (NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_2)) (Algebra.toSMul.{u2, u1} R A _inst_1 _inst_2 _inst_3))
 Case conversion may be inaccurate. Consider using '#align no_zero_smul_divisors.of_algebra_map_injective NoZeroSMulDivisors.of_algebraMap_injectiveₓ'. -/
 /-- If `algebra_map R A` is injective and `A` has no zero divisors,
 `R`-multiples in `A` are zero only if one of the factors is zero.
@@ -1287,7 +1287,7 @@ variable (R A)
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommRing.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Nontrivial.{u2} A] [_inst_4 : Algebra.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_2)] [_inst_5 : NoZeroSMulDivisors.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_2) _inst_4)))))], Function.Injective.{succ u1, succ u2} R A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_2) _inst_4))
 but is expected to have type
-  forall (R : Type.{u2}) (A : Type.{u1}) [_inst_1 : CommRing.{u2} R] [_inst_2 : Ring.{u1} A] [_inst_3 : Nontrivial.{u1} A] [_inst_4 : Algebra.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2)] [_inst_5 : NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (Algebra.toSMul.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4)], Function.Injective.{succ u2, succ u1} R A (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))))) (algebraMap.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4))
+  forall (R : Type.{u2}) (A : Type.{u1}) [_inst_1 : CommRing.{u2} R] [_inst_2 : Ring.{u1} A] [_inst_3 : Nontrivial.{u1} A] [_inst_4 : Algebra.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2)] [_inst_5 : NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (Algebra.toSMul.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4)], Function.Injective.{succ u2, succ u1} R A (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))))) (algebraMap.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4))
 Case conversion may be inaccurate. Consider using '#align no_zero_smul_divisors.algebra_map_injective NoZeroSMulDivisors.algebraMap_injectiveₓ'. -/
 theorem algebraMap_injective [CommRing R] [Ring A] [Nontrivial A] [Algebra R A]
     [NoZeroSMulDivisors R A] : Function.Injective (algebraMap R A) :=
@@ -1316,7 +1316,7 @@ variable {R A}
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : IsDomain.{u2} A (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : Algebra.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_2)], Iff (NoZeroSMulDivisors.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_2) _inst_4)))))) (Function.Injective.{succ u1, succ u2} R A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_2) _inst_4)))
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_2 : Ring.{u1} A] [_inst_3 : IsDomain.{u1} A (Ring.toSemiring.{u1} A _inst_2)] [_inst_4 : Algebra.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2)], Iff (NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (Algebra.toSMul.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4)) (Function.Injective.{succ u2, succ u1} R A (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))))) (algebraMap.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4)))
+  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_2 : Ring.{u1} A] [_inst_3 : IsDomain.{u1} A (Ring.toSemiring.{u1} A _inst_2)] [_inst_4 : Algebra.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2)], Iff (NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (Algebra.toSMul.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4)) (Function.Injective.{succ u2, succ u1} R A (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))))) (algebraMap.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4)))
 Case conversion may be inaccurate. Consider using '#align no_zero_smul_divisors.iff_algebra_map_injective NoZeroSMulDivisors.iff_algebraMap_injectiveₓ'. -/
 theorem iff_algebraMap_injective [CommRing R] [Ring A] [IsDomain A] [Algebra R A] :
     NoZeroSMulDivisors R A ↔ Function.Injective (algebraMap R A) :=
@@ -1381,7 +1381,7 @@ variable {N : Type _} [AddCommMonoid N] [Module A N] [Module R N] [IsScalarTower
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (A : Type.{u2}) [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6)))) r m) (SMul.smul.{u2, u3} A M (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) r) m)
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (A : Type.{u1}) [_inst_2 : Semiring.{u1} A] [_inst_3 : Algebra.{u2, u1} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u1, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u2, u1, u3} R A M (Algebra.toSMul.{u2, u1} R A _inst_1 _inst_2 _inst_3) (SMulZeroClass.toSMul.{u1, u3} A M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} A M (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} A M (Semiring.toMonoidWithZero.{u1} A _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toSMul.{u2, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (HSMul.hSMul.{u2, u3, u3} R M M (instHSMul.{u2, u3} R M (SMulZeroClass.toSMul.{u2, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_6))))) r m) (HSMul.hSMul.{u1, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M M (instHSMul.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M (SMulZeroClass.toSMul.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M _inst_2 _inst_4 _inst_5))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2))))) (algebraMap.{u2, u1} R A _inst_1 _inst_2 _inst_3) r) m)
+  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (A : Type.{u1}) [_inst_2 : Semiring.{u1} A] [_inst_3 : Algebra.{u2, u1} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u1, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u2, u1, u3} R A M (Algebra.toSMul.{u2, u1} R A _inst_1 _inst_2 _inst_3) (SMulZeroClass.toSMul.{u1, u3} A M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} A M (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} A M (Semiring.toMonoidWithZero.{u1} A _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toSMul.{u2, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (HSMul.hSMul.{u2, u3, u3} R M M (instHSMul.{u2, u3} R M (SMulZeroClass.toSMul.{u2, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_6))))) r m) (HSMul.hSMul.{u1, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) M M (instHSMul.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) M (SMulZeroClass.toSMul.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) M (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) M (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) M _inst_2 _inst_4 _inst_5))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2))))) (algebraMap.{u2, u1} R A _inst_1 _inst_2 _inst_3) r) m)
 Case conversion may be inaccurate. Consider using '#align algebra_compatible_smul algebra_compatible_smulₓ'. -/
 theorem algebra_compatible_smul (r : R) (m : M) : r • m = (algebraMap R A) r • m := by
   rw [← one_smul A m, ← smul_assoc, Algebra.smul_def, mul_one, one_smul]
@@ -1391,7 +1391,7 @@ theorem algebra_compatible_smul (r : R) (m : M) : r • m = (algebraMap R A) r 
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (A : Type.{u2}) [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (SMul.smul.{u2, u3} A M (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) r) m) (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6)))) r m)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (A : Type.{u2}) [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_2 _inst_3) (SMulZeroClass.toSMul.{u2, u3} A M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (HSMul.hSMul.{u2, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M M (instHSMul.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M (SMulZeroClass.toSMul.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M (MonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M (Semiring.toMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M _inst_2 _inst_4 _inst_5))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) r) m) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))) r m)
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (A : Type.{u2}) [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_2 _inst_3) (SMulZeroClass.toSMul.{u2, u3} A M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (HSMul.hSMul.{u2, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) M M (instHSMul.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) M (SMulZeroClass.toSMul.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) M (MonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Semiring.toMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) M (Semiring.toMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) M _inst_2 _inst_4 _inst_5))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) r) m) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))) r m)
 Case conversion may be inaccurate. Consider using '#align algebra_map_smul algebraMap_smulₓ'. -/
 @[simp]
 theorem algebraMap_smul (r : R) (m : M) : (algebraMap R A) r • m = r • m :=

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

@@ -663,7 +663,7 @@ protected def linearMap : R →ₗ[R] A :=
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) => R -> A) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
 but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => A) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => A) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
 Case conversion may be inaccurate. Consider using '#align algebra.linear_map_apply Algebra.linearMap_applyₓ'. -/
 @[simp]
 theorem linearMap_apply (r : R) : Algebra.linearMap R A r = algebraMap R A r :=
@@ -674,7 +674,7 @@ theorem linearMap_apply (r : R) : Algebra.linearMap R A r = algebraMap R A r :=
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (R -> A) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) => R -> A) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4))
 but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (forall (ᾰ : R), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => A) ᾰ) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4))
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (forall (ᾰ : R), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => A) ᾰ) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4))
 Case conversion may be inaccurate. Consider using '#align algebra.coe_linear_map Algebra.coe_linearMapₓ'. -/
 theorem coe_linearMap : ⇑(Algebra.linearMap R A) = algebraMap R A :=
   rfl
@@ -998,7 +998,7 @@ theorem algebraMap_end_eq_smul_id (a : R) : (algebraMap R (End R M)) a = a • L
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R) (m : M), Eq.{succ u2} M (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) m) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) a m)
 but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R) (m : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) m) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) a m)
+  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R) (m : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) m) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) a m)
 Case conversion may be inaccurate. Consider using '#align module.algebra_map_End_apply Module.algebraMap_end_applyₓ'. -/
 @[simp]
 theorem algebraMap_end_apply (a : R) (m : M) : (algebraMap R (End R M)) a m = a • m :=
@@ -1009,7 +1009,7 @@ theorem algebraMap_end_apply (a : R) (m : M) : (algebraMap R (End R M)) a m = a
 lean 3 declaration is
   forall (K : Type.{u1}) (V : Type.{u2}) [_inst_4 : Field.{u1} K] [_inst_5 : AddCommGroup.{u2} V] [_inst_6 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5)] (a : K), (Ne.{succ u1} K a (OfNat.ofNat.{u1} K 0 (OfNat.mk.{u1} K 0 (Zero.zero.{u1} K (MulZeroClass.toHasZero.{u1} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))))))))))) -> (Eq.{succ u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (LinearMap.ker.{u1, u1, u2, u2, u2} K K V V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))))) (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} K K V V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) (fun (_x : RingHom.{u1, u2} K (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) => K -> (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) (RingHom.hasCoeToFun.{u1, u2} K (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) (algebraMap.{u1, u2} K (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (Module.End.semiring.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.algebra.{u1, u2} K V (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) a)) (Bot.bot.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Submodule.hasBot.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))
 but is expected to have type
-  forall (K : Type.{u1}) (V : Type.{u2}) [_inst_4 : Field.{u1} K] [_inst_5 : AddCommGroup.{u2} V] [_inst_6 : Module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5)] (a : K), (Ne.{succ u1} K a (OfNat.ofNat.{u1} K 0 (Zero.toOfNat0.{u1} K (CommMonoidWithZero.toZero.{u1} K (CommGroupWithZero.toCommMonoidWithZero.{u1} K (Semifield.toCommGroupWithZero.{u1} K (Field.toSemifield.{u1} K _inst_4))))))) -> (Eq.{succ u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (LinearMap.ker.{u1, u1, u2, u2, u2} K K V V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : K) => Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) a) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u2} K K V V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (fun (_x : K) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : K) => Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) (RingHom.instRingHomClassRingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))))) (algebraMap.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} K V (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) a)) (Bot.bot.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Submodule.instBotSubmodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))
+  forall (K : Type.{u1}) (V : Type.{u2}) [_inst_4 : Field.{u1} K] [_inst_5 : AddCommGroup.{u2} V] [_inst_6 : Module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5)] (a : K), (Ne.{succ u1} K a (OfNat.ofNat.{u1} K 0 (Zero.toOfNat0.{u1} K (CommMonoidWithZero.toZero.{u1} K (CommGroupWithZero.toCommMonoidWithZero.{u1} K (Semifield.toCommGroupWithZero.{u1} K (Field.toSemifield.{u1} K _inst_4))))))) -> (Eq.{succ u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (LinearMap.ker.{u1, u1, u2, u2, u2} K K V V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : K) => Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) a) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} K K V V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (fun (_x : K) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : K) => Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) (RingHom.instRingHomClassRingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))))) (algebraMap.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} K V (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) a)) (Bot.bot.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Submodule.instBotSubmodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))
 Case conversion may be inaccurate. Consider using '#align module.ker_algebra_map_End Module.ker_algebraMap_endₓ'. -/
 @[simp]
 theorem ker_algebraMap_end (K : Type u) (V : Type v) [Field K] [AddCommGroup V] [Module K V] (a : K)
@@ -1025,7 +1025,7 @@ variable {R M}
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (x : M), Eq.{succ u2} M (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) x)) x
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (x : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) x)) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) x)) x
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (x : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) x)) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) x)) x
 Case conversion may be inaccurate. Consider using '#align module.End_is_unit_apply_inv_apply_of_is_unit Module.End_isUnit_apply_inv_apply_of_isUnitₓ'. -/
 theorem End_isUnit_apply_inv_apply_of_isUnit {f : Module.End R M} (h : IsUnit f) (x : M) :
     f (h.Unit.inv x) = x :=
@@ -1036,7 +1036,7 @@ theorem End_isUnit_apply_inv_apply_of_isUnit {f : Module.End R M} (h : IsUnit f)
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (x : M), Eq.{succ u2} M (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f x)) x
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (x : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f x)) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f x)) x
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (x : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f x)) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f x)) x
 Case conversion may be inaccurate. Consider using '#align module.End_is_unit_inv_apply_apply_of_is_unit Module.End_isUnit_inv_apply_apply_of_isUnitₓ'. -/
 theorem End_isUnit_inv_apply_apply_of_isUnit {f : Module.End R M} (h : IsUnit f) (x : M) :
     h.Unit.inv (f x) = x :=
@@ -1047,7 +1047,7 @@ theorem End_isUnit_inv_apply_apply_of_isUnit {f : Module.End R M} (h : IsUnit f)
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3), Iff (IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (Function.Bijective.{succ u2, succ u2} M M (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f))
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3), Iff (IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (Function.Bijective.{succ u2, succ u2} M M (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3), Iff (IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (Function.Bijective.{succ u2, succ u2} M M (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f))
 Case conversion may be inaccurate. Consider using '#align module.End_is_unit_iff Module.End_isUnit_iffₓ'. -/
 theorem End_isUnit_iff (f : Module.End R M) : IsUnit f ↔ Function.Bijective f :=
   ⟨fun h =>
@@ -1063,7 +1063,7 @@ theorem End_isUnit_iff (f : Module.End R M) : IsUnit f ↔ Function.Bijective f
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M (coeFn.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (fun (x : Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) => M -> M) (coeFnTrans.{succ u2, succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeBaseAux.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Units.hasCoe.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (Inv.inv.{u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.hasInv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h)) m) m') (Eq.{succ u2} M m (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) x m'))
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R 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(CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M 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(Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) 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(CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m) m') (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R 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R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m) m') (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
 Case conversion may be inaccurate. Consider using '#align module.End_algebra_map_is_unit_inv_apply_eq_iff Module.End_algebraMap_isUnit_inv_apply_eq_iffₓ'. -/
 theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
     (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) : h.Unit⁻¹ m = m' ↔ m = x • m' :=
@@ -1079,7 +1079,7 @@ theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M m' (coeFn.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (fun (x : Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) => M -> M) (coeFnTrans.{succ u2, succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeBaseAux.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Units.hasCoe.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (Inv.inv.{u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.hasInv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h)) m)) (Eq.{succ u2} M m (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) x m'))
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M m' (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 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u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m)) (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M m' (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 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(CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m)) (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
 Case conversion may be inaccurate. Consider using '#align module.End_algebra_map_is_unit_inv_apply_eq_iff' Module.End_algebraMap_isUnit_inv_apply_eq_iff'ₓ'. -/
 theorem End_algebraMap_isUnit_inv_apply_eq_iff' {x : R}
     (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) : m' = h.Unit⁻¹ m ↔ m = x • m' :=
@@ -1104,7 +1104,7 @@ variable {R : Type _} {A : Type _} {B : Type _} [CommSemiring R] [Semiring A] [S
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u3} B] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u1, u3} R B _inst_1 _inst_3] (f : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (HMul.hMul.{u3, u3, u3} B B B (instHMul.{u3} B (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (fun (_x : RingHom.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) => R -> B) (RingHom.hasCoeToFun.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (algebraMap.{u1, u3} R B _inst_1 _inst_3 _inst_5) r) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f a))
 but is expected to have type
-  forall {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u1} B] [_inst_4 : Algebra.{u3, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u3, u1} R B _inst_1 _inst_3] (f : LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) (HMul.hMul.{u2, u2, u2} 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(NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R 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(RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3) (RingHom.instRingHomClassRingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3))))) (algebraMap.{u3, u1} R B _inst_1 _inst_3 _inst_5) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) 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f a))
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(NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R 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(CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) _inst_3)))) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3) (RingHom.instRingHomClassRingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3))))) (algebraMap.{u3, u1} R B _inst_1 _inst_3 _inst_5) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f a))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_algebra_map_mul LinearMap.map_algebraMap_mulₓ'. -/
 /-- An alternate statement of `linear_map.map_smul` for when `algebra_map` is more convenient to
 work with than `•`. -/
@@ -1117,7 +1117,7 @@ theorem map_algebraMap_mul (f : A →ₗ[R] B) (a : A) (r : R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u3} B] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u1, u3} R B _inst_1 _inst_3] (f : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) a (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_4) r))) (HMul.hMul.{u3, u3, u3} B B B (instHMul.{u3} B (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f a) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (fun (_x : RingHom.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) => R -> B) (RingHom.hasCoeToFun.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (algebraMap.{u1, u3} R B _inst_1 _inst_3 _inst_5) r))
 but is expected to have type
-  forall {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u1} B] [_inst_4 : Algebra.{u3, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u3, u1} R B _inst_1 _inst_3] (f : LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) a (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) a) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) a (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) a) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) a) _inst_3)))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f a) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3) (RingHom.instRingHomClassRingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3))))) (algebraMap.{u3, u1} R B _inst_1 _inst_3 _inst_5) r))
+  forall {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u1} B] [_inst_4 : Algebra.{u3, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u3, u1} R B _inst_1 _inst_3] (f : LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) a (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) a) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) a (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) 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u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r))) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) a) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) a) (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) a) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) a) _inst_3)))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f a) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3) (RingHom.instRingHomClassRingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3))))) (algebraMap.{u3, u1} R B _inst_1 _inst_3 _inst_5) r))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_mul_algebra_map LinearMap.map_mul_algebraMapₓ'. -/
 theorem map_mul_algebraMap (f : A →ₗ[R] B) (a : A) (r : R) :
     f (a * algebraMap R A r) = f a * algebraMap R B r := by
@@ -1485,7 +1485,7 @@ warning: linear_map.coe_restrict_scalars_eq_coe -> LinearMap.coe_restrictScalars
 lean 3 declaration is
   forall (R : Type.{u1}) [_inst_1 : CommSemiring.{u1} R] {A : Type.{u2}} [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] {N : Type.{u4}} [_inst_8 : AddCommMonoid.{u4} N] [_inst_9 : Module.{u2, u4} A N _inst_2 _inst_8] [_inst_10 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8] [_inst_11 : IsScalarTower.{u1, u2, u4} R A N (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u4} A N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u2, u4} A N (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u2, u4} A N (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u2, u4} A N _inst_2 _inst_8 _inst_9)))) (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8 _inst_10))))] (f : LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9), Eq.{max (succ u3) (succ u4)} ((fun (_x : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) => M -> N) (LinearMap.restrictScalars.{u1, u2, u3, u4} R A M N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_4 _inst_8 _inst_6 _inst_10 _inst_5 _inst_9 (LinearMap.IsScalarTower.compatibleSMul.{u3, u4, u1, u2} M N _inst_4 _inst_8 R A _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6)))) _inst_5 _inst_7 (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8 _inst_10)))) _inst_9 _inst_11) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_8 _inst_6 _inst_10 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.restrictScalars.{u1, u2, u3, u4} R A M N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_4 _inst_8 _inst_6 _inst_10 _inst_5 _inst_9 (LinearMap.IsScalarTower.compatibleSMul.{u3, u4, u1, u2} M N _inst_4 _inst_8 R A _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6)))) _inst_5 _inst_7 (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8 _inst_10)))) _inst_9 _inst_11) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (fun (_x : LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) => M -> N) (LinearMap.hasCoeToFun.{u2, u2, u3, u4} A A M N _inst_2 _inst_2 _inst_4 _inst_8 _inst_5 _inst_9 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) f)
 but is expected to have type
-  forall (R : Type.{u1}) {_inst_1 : Type.{u4}} {A : Type.{u3}} {_inst_2 : Type.{u2}} [_inst_3 : Semiring.{u1} R] [M : Semiring.{u4} _inst_1] [_inst_4 : AddCommMonoid.{u3} A] [_inst_5 : AddCommMonoid.{u2} _inst_2] [_inst_6 : Module.{u1, u3} R A _inst_3 _inst_4] [_inst_7 : Module.{u1, u2} R _inst_2 _inst_3 _inst_5] [N : Module.{u4, u3} _inst_1 A M _inst_4] [_inst_8 : Module.{u4, u2} _inst_1 _inst_2 M _inst_5] [_inst_9 : LinearMap.CompatibleSMul.{u3, u2, u1, u4} A _inst_2 _inst_4 _inst_5 R _inst_1 M (SMulZeroClass.toSMul.{u1, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (Module.toMulActionWithZero.{u1, u3} R A _inst_3 _inst_4 _inst_6)))) N (SMulZeroClass.toSMul.{u1, u2} R _inst_2 (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R _inst_2 (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R _inst_2 (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (Module.toMulActionWithZero.{u1, u2} R _inst_2 _inst_3 _inst_5 _inst_7)))) _inst_8] (_inst_10 : LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8), Eq.{max (succ u3) (succ u2)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => _inst_2) a) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3)) A _inst_2 _inst_4 _inst_5 _inst_6 _inst_7) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R A _inst_2 _inst_3 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3))) (LinearMap.restrictScalars.{u1, u4, u3, u2} R _inst_1 A _inst_2 _inst_3 M _inst_4 _inst_5 _inst_6 _inst_7 N _inst_8 _inst_9 _inst_10)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 A _inst_2 M M _inst_4 _inst_5 N _inst_8 (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M))) _inst_10)
+  forall (R : Type.{u1}) {_inst_1 : Type.{u4}} {A : Type.{u3}} {_inst_2 : Type.{u2}} [_inst_3 : Semiring.{u1} R] [M : Semiring.{u4} _inst_1] [_inst_4 : AddCommMonoid.{u3} A] [_inst_5 : AddCommMonoid.{u2} _inst_2] [_inst_6 : Module.{u1, u3} R A _inst_3 _inst_4] [_inst_7 : Module.{u1, u2} R _inst_2 _inst_3 _inst_5] [N : Module.{u4, u3} _inst_1 A M _inst_4] [_inst_8 : Module.{u4, u2} _inst_1 _inst_2 M _inst_5] [_inst_9 : LinearMap.CompatibleSMul.{u3, u2, u1, u4} A _inst_2 _inst_4 _inst_5 R _inst_1 M (SMulZeroClass.toSMul.{u1, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (Module.toMulActionWithZero.{u1, u3} R A _inst_3 _inst_4 _inst_6)))) N (SMulZeroClass.toSMul.{u1, u2} R _inst_2 (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R _inst_2 (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R _inst_2 (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (Module.toMulActionWithZero.{u1, u2} R _inst_2 _inst_3 _inst_5 _inst_7)))) _inst_8] (_inst_10 : LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8), Eq.{max (succ u3) (succ u2)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => _inst_2) a) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3)) A _inst_2 _inst_4 _inst_5 _inst_6 _inst_7) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R A _inst_2 _inst_3 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3))) (LinearMap.restrictScalars.{u1, u4, u3, u2} R _inst_1 A _inst_2 _inst_3 M _inst_4 _inst_5 _inst_6 _inst_7 N _inst_8 _inst_9 _inst_10)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 A _inst_2 M M _inst_4 _inst_5 N _inst_8 (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M))) _inst_10)
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_restrict_scalars_eq_coe LinearMap.coe_restrictScalarsₓ'. -/
 @[simp, norm_cast squash]
 theorem coe_restrictScalars (f : M →ₗ[A] N) : (f.restrictScalars R : M → N) = f :=
@@ -1497,7 +1497,7 @@ warning: linear_map.coe_coe_is_scalar_tower -> LinearMap.coe_restrictScalars is
 lean 3 declaration is
   forall (R : Type.{u1}) [_inst_1 : CommSemiring.{u1} R] {A : Type.{u2}} [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] {N : Type.{u4}} [_inst_8 : AddCommMonoid.{u4} N] [_inst_9 : Module.{u2, u4} A N _inst_2 _inst_8] [_inst_10 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8] [_inst_11 : IsScalarTower.{u1, u2, u4} R A N (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u4} A N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u2, u4} A N (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u2, u4} A N (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u2, u4} A N _inst_2 _inst_8 _inst_9)))) (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8 _inst_10))))] (f : LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9), Eq.{max (succ u3) (succ u4)} ((fun (_x : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) => M -> N) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (LinearMap.coeIsScalarTower.{u1, u2, u3, u4} R _inst_1 A _inst_2 _inst_3 M _inst_4 _inst_5 _inst_6 _inst_7 N _inst_8 _inst_9 _inst_10 _inst_11)))) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_8 _inst_6 _inst_10 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (LinearMap.coeIsScalarTower.{u1, u2, u3, u4} R _inst_1 A _inst_2 _inst_3 M _inst_4 _inst_5 _inst_6 _inst_7 N _inst_8 _inst_9 _inst_10 _inst_11)))) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (fun (_x : LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) => M -> N) (LinearMap.hasCoeToFun.{u2, u2, u3, u4} A A M N _inst_2 _inst_2 _inst_4 _inst_8 _inst_5 _inst_9 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) f)
 but is expected to have type
-  forall (R : Type.{u1}) {_inst_1 : Type.{u4}} {A : Type.{u3}} {_inst_2 : Type.{u2}} [_inst_3 : Semiring.{u1} R] [M : Semiring.{u4} _inst_1] [_inst_4 : AddCommMonoid.{u3} A] [_inst_5 : AddCommMonoid.{u2} _inst_2] [_inst_6 : Module.{u1, u3} R A _inst_3 _inst_4] [_inst_7 : Module.{u1, u2} R _inst_2 _inst_3 _inst_5] [N : Module.{u4, u3} _inst_1 A M _inst_4] [_inst_8 : Module.{u4, u2} _inst_1 _inst_2 M _inst_5] [_inst_9 : LinearMap.CompatibleSMul.{u3, u2, u1, u4} A _inst_2 _inst_4 _inst_5 R _inst_1 M (SMulZeroClass.toSMul.{u1, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (Module.toMulActionWithZero.{u1, u3} R A _inst_3 _inst_4 _inst_6)))) N (SMulZeroClass.toSMul.{u1, u2} R _inst_2 (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R _inst_2 (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R _inst_2 (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (Module.toMulActionWithZero.{u1, u2} R _inst_2 _inst_3 _inst_5 _inst_7)))) _inst_8] (_inst_10 : LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8), Eq.{max (succ u3) (succ u2)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => _inst_2) a) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3)) A _inst_2 _inst_4 _inst_5 _inst_6 _inst_7) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R A _inst_2 _inst_3 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3))) (LinearMap.restrictScalars.{u1, u4, u3, u2} R _inst_1 A _inst_2 _inst_3 M _inst_4 _inst_5 _inst_6 _inst_7 N _inst_8 _inst_9 _inst_10)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 A _inst_2 M M _inst_4 _inst_5 N _inst_8 (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M))) _inst_10)
+  forall (R : Type.{u1}) {_inst_1 : Type.{u4}} {A : Type.{u3}} {_inst_2 : Type.{u2}} [_inst_3 : Semiring.{u1} R] [M : Semiring.{u4} _inst_1] [_inst_4 : AddCommMonoid.{u3} A] [_inst_5 : AddCommMonoid.{u2} _inst_2] [_inst_6 : Module.{u1, u3} R A _inst_3 _inst_4] [_inst_7 : Module.{u1, u2} R _inst_2 _inst_3 _inst_5] [N : Module.{u4, u3} _inst_1 A M _inst_4] [_inst_8 : Module.{u4, u2} _inst_1 _inst_2 M _inst_5] [_inst_9 : LinearMap.CompatibleSMul.{u3, u2, u1, u4} A _inst_2 _inst_4 _inst_5 R _inst_1 M (SMulZeroClass.toSMul.{u1, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (Module.toMulActionWithZero.{u1, u3} R A _inst_3 _inst_4 _inst_6)))) N (SMulZeroClass.toSMul.{u1, u2} R _inst_2 (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R _inst_2 (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R _inst_2 (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (Module.toMulActionWithZero.{u1, u2} R _inst_2 _inst_3 _inst_5 _inst_7)))) _inst_8] (_inst_10 : LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8), Eq.{max (succ u3) (succ u2)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => _inst_2) a) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3)) A _inst_2 _inst_4 _inst_5 _inst_6 _inst_7) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R A _inst_2 _inst_3 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3))) (LinearMap.restrictScalars.{u1, u4, u3, u2} R _inst_1 A _inst_2 _inst_3 M _inst_4 _inst_5 _inst_6 _inst_7 N _inst_8 _inst_9 _inst_10)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 A _inst_2 M M _inst_4 _inst_5 N _inst_8 (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M))) _inst_10)
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_coe_is_scalar_tower LinearMap.coe_restrictScalarsₓ'. -/
 @[simp, norm_cast squash]
 theorem coe_restrictScalars (f : M →ₗ[A] N) : ((f : M →ₗ[R] N) : M → N) = f :=
@@ -1545,7 +1545,7 @@ variable {S M N}
 lean 3 declaration is
   forall (R : Type.{u1}) {S : Type.{u2}} {M : Type.{u3}} {N : Type.{u4}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u2} S] [_inst_3 : SMul.{u1, u2} R S] [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u1, u3} R M _inst_1 _inst_4] [_inst_6 : Module.{u2, u3} S M _inst_2 _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R S M _inst_3 (SMulZeroClass.toHasSmul.{u2, u3} S M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} S M (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} S M (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} S M _inst_2 _inst_4 _inst_6)))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_4 _inst_5))))] [_inst_8 : AddCommMonoid.{u4} N] [_inst_9 : Module.{u1, u4} R N _inst_1 _inst_8] [_inst_10 : Module.{u2, u4} S N _inst_2 _inst_8] [_inst_11 : IsScalarTower.{u1, u2, u4} R S N _inst_3 (SMulZeroClass.toHasSmul.{u2, u4} S N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u2, u4} S N (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u2, u4} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u2, u4} S N _inst_2 _inst_8 _inst_10)))) (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u1, u4} R N _inst_1 _inst_8 _inst_9))))] (f : LinearMap.{u2, u2, u3, u4} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) M N _inst_4 _inst_8 _inst_6 _inst_10), Eq.{succ u3} (Submodule.{u1, u3} R M _inst_1 _inst_4 _inst_5) (LinearMap.ker.{u1, u1, u3, u4, max u3 u4} R R M N _inst_1 _inst_1 _inst_4 _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (LinearMap.{u1, u1, u3, u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.semilinearMapClass.{u1, u1, u3, u4} R R M N _inst_1 _inst_1 _inst_4 _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (LinearMap.restrictScalars.{u1, u2, u3, u4} R S M N _inst_1 _inst_2 _inst_4 _inst_8 _inst_5 _inst_9 _inst_6 _inst_10 (LinearMap.IsScalarTower.compatibleSMul.{u3, u4, u1, u2} M N _inst_4 _inst_8 R S _inst_2 _inst_3 (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_4 _inst_5)))) _inst_6 _inst_7 (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u1, u4} R N _inst_1 _inst_8 _inst_9)))) _inst_10 _inst_11) f)) (Submodule.restrictScalars.{u1, u2, u3} R S M _inst_2 _inst_4 _inst_1 _inst_5 _inst_6 _inst_3 _inst_7 (LinearMap.ker.{u2, u2, u3, u4, max u3 u4} S S M N _inst_2 _inst_2 _inst_4 _inst_8 _inst_6 _inst_10 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (LinearMap.{u2, u2, u3, u4} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) M N _inst_4 _inst_8 _inst_6 _inst_10) (LinearMap.semilinearMapClass.{u2, u2, u3, u4} S S M N _inst_2 _inst_2 _inst_4 _inst_8 _inst_6 _inst_10 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) f))
 but is expected to have type
-  forall (R : Type.{u1}) {S : Type.{u4}} {M : Type.{u3}} {N : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u4} S] [_inst_3 : SMul.{u1, u4} R S] [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u1, u3} R M _inst_1 _inst_4] [_inst_6 : Module.{u4, u3} S M _inst_2 _inst_4] [_inst_7 : IsScalarTower.{u1, u4, u3} R S M _inst_3 (SMulZeroClass.toSMul.{u4, u3} S M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u4, u3} S M (MonoidWithZero.toZero.{u4} S (Semiring.toMonoidWithZero.{u4} S _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u4, u3} S M (Semiring.toMonoidWithZero.{u4} S _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u4, u3} S M _inst_2 _inst_4 _inst_6)))) (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_4 _inst_5))))] [_inst_8 : AddCommMonoid.{u2} N] [_inst_9 : Module.{u1, u2} R N _inst_1 _inst_8] [_inst_10 : Module.{u4, u2} S N _inst_2 _inst_8] [_inst_11 : IsScalarTower.{u1, u4, u2} R S N _inst_3 (SMulZeroClass.toSMul.{u4, u2} S N (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (SMulWithZero.toSMulZeroClass.{u4, u2} S N (MonoidWithZero.toZero.{u4} S (Semiring.toMonoidWithZero.{u4} S _inst_2)) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (MulActionWithZero.toSMulWithZero.{u4, u2} S N (Semiring.toMonoidWithZero.{u4} S _inst_2) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (Module.toMulActionWithZero.{u4, u2} S N _inst_2 _inst_8 _inst_10)))) (SMulZeroClass.toSMul.{u1, u2} R N (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (SMulWithZero.toSMulZeroClass.{u1, u2} R N (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (MulActionWithZero.toSMulWithZero.{u1, u2} R N (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (Module.toMulActionWithZero.{u1, u2} R N _inst_1 _inst_8 _inst_9))))] (f : LinearMap.{u4, u4, u3, u2} S S _inst_2 _inst_2 (RingHom.id.{u4} S (Semiring.toNonAssocSemiring.{u4} S _inst_2)) M N _inst_4 _inst_8 _inst_6 _inst_10), Eq.{succ u3} (Submodule.{u1, u3} R M _inst_1 _inst_4 _inst_5) (LinearMap.ker.{u1, u1, u3, u2, max u3 u2} R R M N _inst_1 _inst_1 _inst_4 _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (LinearMap.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u3, u2} R R M N _inst_1 _inst_1 _inst_4 _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (LinearMap.restrictScalars.{u1, u4, u3, u2} R S M N _inst_1 _inst_2 _inst_4 _inst_8 _inst_5 _inst_9 _inst_6 _inst_10 (LinearMap.IsScalarTower.compatibleSMul.{u3, u2, u1, u4} M N _inst_4 _inst_8 R S _inst_2 _inst_3 (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_4 _inst_5)))) _inst_6 _inst_7 (SMulZeroClass.toSMul.{u1, u2} R N (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (SMulWithZero.toSMulZeroClass.{u1, u2} R N (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (MulActionWithZero.toSMulWithZero.{u1, u2} R N (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (Module.toMulActionWithZero.{u1, u2} R N _inst_1 _inst_8 _inst_9)))) _inst_10 _inst_11) f)) (Submodule.restrictScalars.{u1, u4, u3} R S M _inst_2 _inst_4 _inst_1 _inst_5 _inst_6 _inst_3 _inst_7 (LinearMap.ker.{u4, u4, u3, u2, max u3 u2} S S M N _inst_2 _inst_2 _inst_4 _inst_8 _inst_6 _inst_10 (RingHom.id.{u4} S (Semiring.toNonAssocSemiring.{u4} S _inst_2)) (LinearMap.{u4, u4, u3, u2} S S _inst_2 _inst_2 (RingHom.id.{u4} S (Semiring.toNonAssocSemiring.{u4} S _inst_2)) M N _inst_4 _inst_8 _inst_6 _inst_10) (LinearMap.instSemilinearMapClassLinearMap.{u4, u4, u3, u2} S S M N _inst_2 _inst_2 _inst_4 _inst_8 _inst_6 _inst_10 (RingHom.id.{u4} S (Semiring.toNonAssocSemiring.{u4} S _inst_2))) f))
+  forall (R : Type.{u1}) {S : Type.{u4}} {M : Type.{u3}} {N : Type.{u2}} [_inst_1 : Semiring.{u1} R] [_inst_2 : Semiring.{u4} S] [_inst_3 : SMul.{u1, u4} R S] [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u1, u3} R M _inst_1 _inst_4] [_inst_6 : Module.{u4, u3} S M _inst_2 _inst_4] [_inst_7 : IsScalarTower.{u1, u4, u3} R S M _inst_3 (SMulZeroClass.toSMul.{u4, u3} S M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u4, u3} S M (MonoidWithZero.toZero.{u4} S (Semiring.toMonoidWithZero.{u4} S _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u4, u3} S M (Semiring.toMonoidWithZero.{u4} S _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u4, u3} S M _inst_2 _inst_4 _inst_6)))) (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_4 _inst_5))))] [_inst_8 : AddCommMonoid.{u2} N] [_inst_9 : Module.{u1, u2} R N _inst_1 _inst_8] [_inst_10 : Module.{u4, u2} S N _inst_2 _inst_8] [_inst_11 : IsScalarTower.{u1, u4, u2} R S N _inst_3 (SMulZeroClass.toSMul.{u4, u2} S N (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (SMulWithZero.toSMulZeroClass.{u4, u2} S N (MonoidWithZero.toZero.{u4} S (Semiring.toMonoidWithZero.{u4} S _inst_2)) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (MulActionWithZero.toSMulWithZero.{u4, u2} S N (Semiring.toMonoidWithZero.{u4} S _inst_2) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (Module.toMulActionWithZero.{u4, u2} S N _inst_2 _inst_8 _inst_10)))) (SMulZeroClass.toSMul.{u1, u2} R N (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (SMulWithZero.toSMulZeroClass.{u1, u2} R N (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (MulActionWithZero.toSMulWithZero.{u1, u2} R N (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (Module.toMulActionWithZero.{u1, u2} R N _inst_1 _inst_8 _inst_9))))] (f : LinearMap.{u4, u4, u3, u2} S S _inst_2 _inst_2 (RingHom.id.{u4} S (Semiring.toNonAssocSemiring.{u4} S _inst_2)) M N _inst_4 _inst_8 _inst_6 _inst_10), Eq.{succ u3} (Submodule.{u1, u3} R M _inst_1 _inst_4 _inst_5) (LinearMap.ker.{u1, u1, u3, u2, max u3 u2} R R M N _inst_1 _inst_1 _inst_4 _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (LinearMap.{u1, u1, u3, u2} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.semilinearMapClass.{u1, u1, u3, u2} R R M N _inst_1 _inst_1 _inst_4 _inst_8 _inst_5 _inst_9 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (LinearMap.restrictScalars.{u1, u4, u3, u2} R S M N _inst_1 _inst_2 _inst_4 _inst_8 _inst_5 _inst_9 _inst_6 _inst_10 (LinearMap.IsScalarTower.compatibleSMul.{u3, u2, u1, u4} M N _inst_4 _inst_8 R S _inst_2 _inst_3 (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_4 _inst_5)))) _inst_6 _inst_7 (SMulZeroClass.toSMul.{u1, u2} R N (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (SMulWithZero.toSMulZeroClass.{u1, u2} R N (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (MulActionWithZero.toSMulWithZero.{u1, u2} R N (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_8)) (Module.toMulActionWithZero.{u1, u2} R N _inst_1 _inst_8 _inst_9)))) _inst_10 _inst_11) f)) (Submodule.restrictScalars.{u1, u4, u3} R S M _inst_2 _inst_4 _inst_1 _inst_5 _inst_6 _inst_3 _inst_7 (LinearMap.ker.{u4, u4, u3, u2, max u3 u2} S S M N _inst_2 _inst_2 _inst_4 _inst_8 _inst_6 _inst_10 (RingHom.id.{u4} S (Semiring.toNonAssocSemiring.{u4} S _inst_2)) (LinearMap.{u4, u4, u3, u2} S S _inst_2 _inst_2 (RingHom.id.{u4} S (Semiring.toNonAssocSemiring.{u4} S _inst_2)) M N _inst_4 _inst_8 _inst_6 _inst_10) (LinearMap.semilinearMapClass.{u4, u4, u3, u2} S S M N _inst_2 _inst_2 _inst_4 _inst_8 _inst_6 _inst_10 (RingHom.id.{u4} S (Semiring.toNonAssocSemiring.{u4} S _inst_2))) f))
 Case conversion may be inaccurate. Consider using '#align linear_map.ker_restrict_scalars LinearMap.ker_restrictScalarsₓ'. -/
 @[simp]
 theorem LinearMap.ker_restrictScalars (f : M →ₗ[S] N) :

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

@@ -722,7 +722,12 @@ end id
 
 section PUnit
 
-#print PUnit.algebra /-
+/- warning: punit.algebra -> PUnit.algebra is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u}} [_inst_1 : CommSemiring.{u} R], Algebra.{u, u_1} R PUnit.{succ u_1} _inst_1 (Ring.toSemiring.{u_1} PUnit.{succ u_1} (CommRing.toRing.{u_1} PUnit.{succ u_1} PUnit.commRing.{u_1}))
+but is expected to have type
+  forall {R : Type.{u}} [_inst_1 : CommSemiring.{u} R], Algebra.{u, 0} R PUnit.{1} _inst_1 (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0}))
+Case conversion may be inaccurate. Consider using '#align punit.algebra PUnit.algebraₓ'. -/
 instance PUnit.algebra : Algebra R PUnit
     where
   toFun x := PUnit.unit
@@ -733,13 +738,12 @@ instance PUnit.algebra : Algebra R PUnit
   commutes' _ _ := rfl
   smul_def' _ _ := rfl
 #align punit.algebra PUnit.algebra
--/
 
 /- warning: algebra.algebra_map_punit -> Algebra.algebraMap_pUnit is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (r : R), Eq.{succ u2} PUnit.{succ u2} (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R PUnit.{succ u2} (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} PUnit.{succ u2} (Ring.toSemiring.{u2} PUnit.{succ u2} (CommRing.toRing.{u2} PUnit.{succ u2} PUnit.commRing.{u2})))) (fun (_x : RingHom.{u1, u2} R PUnit.{succ u2} (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} PUnit.{succ u2} (Ring.toSemiring.{u2} PUnit.{succ u2} (CommRing.toRing.{u2} PUnit.{succ u2} PUnit.commRing.{u2})))) => R -> PUnit.{succ u2}) (RingHom.hasCoeToFun.{u1, u2} R PUnit.{succ u2} (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} PUnit.{succ u2} (Ring.toSemiring.{u2} PUnit.{succ u2} (CommRing.toRing.{u2} PUnit.{succ u2} PUnit.commRing.{u2})))) (algebraMap.{u1, u2} R PUnit.{succ u2} _inst_1 (Ring.toSemiring.{u2} PUnit.{succ u2} (CommRing.toRing.{u2} PUnit.{succ u2} PUnit.commRing.{u2})) (PUnit.algebra.{u1, u2} R _inst_1)) r) PUnit.unit.{succ u2}
+  forall {R : Type.{u}} [_inst_1 : CommSemiring.{u} R] (r : R), Eq.{succ u_1} PUnit.{succ u_1} (coeFn.{max (succ u) (succ u_1), max (succ u) (succ u_1)} (RingHom.{u, u_1} R PUnit.{succ u_1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{u_1} PUnit.{succ u_1} (Ring.toSemiring.{u_1} PUnit.{succ u_1} (CommRing.toRing.{u_1} PUnit.{succ u_1} PUnit.commRing.{u_1})))) (fun (_x : RingHom.{u, u_1} R PUnit.{succ u_1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{u_1} PUnit.{succ u_1} (Ring.toSemiring.{u_1} PUnit.{succ u_1} (CommRing.toRing.{u_1} PUnit.{succ u_1} PUnit.commRing.{u_1})))) => R -> PUnit.{succ u_1}) (RingHom.hasCoeToFun.{u, u_1} R PUnit.{succ u_1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{u_1} PUnit.{succ u_1} (Ring.toSemiring.{u_1} PUnit.{succ u_1} (CommRing.toRing.{u_1} PUnit.{succ u_1} PUnit.commRing.{u_1})))) (algebraMap.{u, u_1} R PUnit.{succ u_1} _inst_1 (Ring.toSemiring.{u_1} PUnit.{succ u_1} (CommRing.toRing.{u_1} PUnit.{succ u_1} PUnit.commRing.{u_1})) (PUnit.algebra.{u, u_1} R _inst_1)) r) PUnit.unit.{succ u_1}
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => PUnit.{succ u1}) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (CommSemiring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toCommSemiring.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => PUnit.{succ u1}) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (CommSemiring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toCommSemiring.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} PUnit.{succ u1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (CommSemiring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toCommSemiring.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (CommSemiring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toCommSemiring.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (CommSemiring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toCommSemiring.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (CommSemiring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toCommSemiring.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (CommSemiring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toCommSemiring.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))) (RingHom.instRingHomClassRingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (CommSemiring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toCommSemiring.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))))))) (algebraMap.{u2, u1} R PUnit.{succ u1} _inst_1 (CommSemiring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toCommSemiring.{u1} PUnit.{succ u1} PUnit.commRing.{u1})) (PUnit.algebra.{u2, u1} R _inst_1)) r) PUnit.unit.{succ u1}
+  forall {R : Type.{u}} [_inst_1 : CommSemiring.{u} R] (r : R), Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => PUnit.{1}) r) (FunLike.coe.{succ u, succ u, 1} (RingHom.{u, 0} R PUnit.{1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0})))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => PUnit.{1}) _x) (MulHomClass.toFunLike.{u, u, 0} (RingHom.{u, 0} R PUnit.{1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0})))) R PUnit.{1} (NonUnitalNonAssocSemiring.toMul.{u} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u} R (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{0} PUnit.{1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} PUnit.{1} (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0}))))) (NonUnitalRingHomClass.toMulHomClass.{u, u, 0} (RingHom.{u, 0} R PUnit.{1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0})))) R PUnit.{1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u} R (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} PUnit.{1} (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0})))) (RingHomClass.toNonUnitalRingHomClass.{u, u, 0} (RingHom.{u, 0} R PUnit.{1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0})))) R PUnit.{1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0}))) (RingHom.instRingHomClassRingHom.{u, 0} R PUnit.{1} (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R _inst_1)) (Semiring.toNonAssocSemiring.{0} PUnit.{1} (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0}))))))) (algebraMap.{u, 0} R PUnit.{1} _inst_1 (CommSemiring.toSemiring.{0} PUnit.{1} (CommRing.toCommSemiring.{0} PUnit.{1} PUnit.commRing.{0})) (PUnit.algebra.{u} R _inst_1)) r) PUnit.unit.{1}
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_punit Algebra.algebraMap_pUnitₓ'. -/
 @[simp]
 theorem algebraMap_pUnit (r : R) : algebraMap R PUnit r = PUnit.unit :=

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

@@ -739,7 +739,7 @@ instance PUnit.algebra : Algebra R PUnit
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (r : R), Eq.{succ u2} PUnit.{succ u2} (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R PUnit.{succ u2} (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} PUnit.{succ u2} (Ring.toSemiring.{u2} PUnit.{succ u2} (CommRing.toRing.{u2} PUnit.{succ u2} PUnit.commRing.{u2})))) (fun (_x : RingHom.{u1, u2} R PUnit.{succ u2} (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} PUnit.{succ u2} (Ring.toSemiring.{u2} PUnit.{succ u2} (CommRing.toRing.{u2} PUnit.{succ u2} PUnit.commRing.{u2})))) => R -> PUnit.{succ u2}) (RingHom.hasCoeToFun.{u1, u2} R PUnit.{succ u2} (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} PUnit.{succ u2} (Ring.toSemiring.{u2} PUnit.{succ u2} (CommRing.toRing.{u2} PUnit.{succ u2} PUnit.commRing.{u2})))) (algebraMap.{u1, u2} R PUnit.{succ u2} _inst_1 (Ring.toSemiring.{u2} PUnit.{succ u2} (CommRing.toRing.{u2} PUnit.{succ u2} PUnit.commRing.{u2})) (PUnit.algebra.{u1, u2} R _inst_1)) r) PUnit.unit.{succ u2}
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => PUnit.{succ u1}) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => PUnit.{succ u1}) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} PUnit.{succ u1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))) (RingHom.instRingHomClassRingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))))))) (algebraMap.{u2, u1} R PUnit.{succ u1} _inst_1 (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})) (PUnit.algebra.{u2, u1} R _inst_1)) r) PUnit.unit.{succ u1}
+  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => PUnit.{succ u1}) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (CommSemiring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toCommSemiring.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => PUnit.{succ u1}) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (CommSemiring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toCommSemiring.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} PUnit.{succ u1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (CommSemiring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toCommSemiring.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (CommSemiring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toCommSemiring.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (CommSemiring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toCommSemiring.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (CommSemiring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toCommSemiring.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (CommSemiring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toCommSemiring.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))) (RingHom.instRingHomClassRingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (CommSemiring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toCommSemiring.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))))))) (algebraMap.{u2, u1} R PUnit.{succ u1} _inst_1 (CommSemiring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toCommSemiring.{u1} PUnit.{succ u1} PUnit.commRing.{u1})) (PUnit.algebra.{u2, u1} R _inst_1)) r) PUnit.unit.{succ u1}
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_punit Algebra.algebraMap_pUnitₓ'. -/
 @[simp]
 theorem algebraMap_pUnit (r : R) : algebraMap R PUnit r = PUnit.unit :=
@@ -833,7 +833,7 @@ theorem algebraMap_ofSubsemiring_apply (S : Subsemiring R) (x : S) : algebraMap
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_7 : CommRing.{u1} R] [_inst_8 : Ring.{u2} A] [_inst_9 : Algebra.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_7) (Ring.toSemiring.{u2} A _inst_8)] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)), Algebra.{u1, u2} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) A (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring._proof_1.{u1} R _inst_7)) (Ring.toSemiring.{u2} A _inst_8)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_7 : CommRing.{u1} R] [_inst_8 : Ring.{u2} A] [_inst_9 : Algebra.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_7) (Ring.toSemiring.{u2} A _inst_8)] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)), Algebra.{u1, u2} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) A (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)) (Ring.toSemiring.{u2} A _inst_8)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_7 : CommRing.{u1} R] [_inst_8 : Ring.{u2} A] [_inst_9 : Algebra.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_7) (Ring.toSemiring.{u2} A _inst_8)] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)), Algebra.{u1, u2} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) A (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)) (Ring.toSemiring.{u2} A _inst_8)
 Case conversion may be inaccurate. Consider using '#align algebra.of_subring Algebra.ofSubringₓ'. -/
 /-- Algebra over a subring. This builds upon `subring.module`. -/
 instance ofSubring {R A : Type _} [CommRing R] [Ring A] [Algebra R A] (S : Subring R) :
@@ -845,7 +845,7 @@ instance ofSubring {R A : Type _} [CommRing R] [Ring A] [Algebra R A] (S : Subri
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)), Eq.{succ u1} (RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S)) (Subring.subtype.{u1} R (CommRing.toRing.{u1} R _inst_7) S)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)), Eq.{succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S)) (Subring.subtype.{u1} R (CommRing.toRing.{u1} R _inst_7) S)
+  forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)), Eq.{succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S)) (Subring.subtype.{u1} R (CommRing.toRing.{u1} R _inst_7) S)
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_of_subring Algebra.algebraMap_ofSubringₓ'. -/
 theorem algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
     (algebraMap S R : S →+* R) = Subring.subtype S :=
@@ -856,7 +856,7 @@ theorem algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)), Eq.{succ u1} ((fun (_x : RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) => (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) -> R) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (fun (_x : RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) => (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) -> R) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.Mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.hasMem.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S))
 but is expected to have type
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(Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S))
+  forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)), Eq.{succ u1} (forall (a : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) a) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7))))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S))
 Case conversion may be inaccurate. Consider using '#align algebra.coe_algebra_map_of_subring Algebra.coe_algebraMap_ofSubringₓ'. -/
 theorem coe_algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
     (algebraMap S R : S → R) = Subtype.val :=
@@ -867,7 +867,7 @@ theorem coe_algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (x : coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (fun (_x : RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) => (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) -> R) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S)) x) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (coeSubtype.{succ u1} R (fun (x : R) => Membership.Mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.hasMem.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S))))) x)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) x) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S)) x) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Set.{u1} R) (Set.instMembershipSet.{u1} R) x (SetLike.coe.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S)) x)
+  forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) x) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7))))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Subsemiring.toCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.toSubsemiring.{u1} R (CommRing.toRing.{u1} R _inst_7) S)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S)) x) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Set.{u1} R) (Set.instMembershipSet.{u1} R) x (SetLike.coe.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S)) x)
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_of_subring_apply Algebra.algebraMap_ofSubring_applyₓ'. -/
 theorem algebraMap_ofSubring_apply {R : Type _} [CommRing R] (S : Subring R) (x : S) :
     algebraMap S R x = x :=
@@ -1299,7 +1299,7 @@ theorem algebraMap_injective [CommRing R] [Ring A] [Nontrivial A] [Algebra R A]
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) (n : Nat) [_inst_1 : CommRing.{u1} R] [_inst_2 : NeZero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_1)))))))) n)] [_inst_3 : Ring.{u2} A] [_inst_4 : Nontrivial.{u2} A] [_inst_5 : Algebra.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_3)] [_inst_6 : NoZeroSMulDivisors.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_3))))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_3))))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_3)))) (Algebra.toModule.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_3) _inst_5)))))], NeZero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_3))))) ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Nat A (HasLiftT.mk.{1, succ u2} Nat A (CoeTCₓ.coe.{1, succ u2} Nat A (Nat.castCoe.{u2} A (AddMonoidWithOne.toNatCast.{u2} A (AddGroupWithOne.toAddMonoidWithOne.{u2} A (AddCommGroupWithOne.toAddGroupWithOne.{u2} A (Ring.toAddCommGroupWithOne.{u2} A _inst_3))))))) n)
 but is expected to have type
-  forall (R : Type.{u2}) (A : Type.{u1}) (n : Nat) [_inst_1 : CommRing.{u2} R] [_inst_2 : NeZero.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Nat.cast.{u2} R (NonAssocRing.toNatCast.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_1))) n)] [_inst_3 : Ring.{u1} A] [_inst_4 : Nontrivial.{u1} A] [_inst_5 : Algebra.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_3)] [_inst_6 : NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A _inst_3))) (Algebra.toSMul.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_3) _inst_5)], NeZero.{u1} A (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A _inst_3))) (Nat.cast.{u1} A (NonAssocRing.toNatCast.{u1} A (Ring.toNonAssocRing.{u1} A _inst_3)) n)
+  forall (R : Type.{u2}) (A : Type.{u1}) (n : Nat) [_inst_1 : CommRing.{u2} R] [_inst_2 : NeZero.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Nat.cast.{u2} R (Semiring.toNatCast.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) n)] [_inst_3 : Ring.{u1} A] [_inst_4 : Nontrivial.{u1} A] [_inst_5 : Algebra.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_3)] [_inst_6 : NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A _inst_3))) (Algebra.toSMul.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_3) _inst_5)], NeZero.{u1} A (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A _inst_3))) (Nat.cast.{u1} A (Semiring.toNatCast.{u1} A (Ring.toSemiring.{u1} A _inst_3)) n)
 Case conversion may be inaccurate. Consider using '#align ne_zero.of_no_zero_smul_divisors NeZero.of_noZeroSMulDivisorsₓ'. -/
 theorem NeZero.of_noZeroSMulDivisors (n : ℕ) [CommRing R] [NeZero (n : R)] [Ring A] [Nontrivial A]
     [Algebra R A] [NoZeroSMulDivisors R A] : NeZero (n : A) :=
@@ -1398,7 +1398,7 @@ theorem algebraMap_smul (r : R) (m : M) : (algebraMap R A) r • m = r • m :=
 lean 3 declaration is
   forall {k : Type.{u1}} {V : Type.{u2}} [_inst_12 : CommRing.{u1} k] [_inst_13 : AddCommGroup.{u2} V] [_inst_14 : Module.{u1, u2} k V (Ring.toSemiring.{u1} k (CommRing.toRing.{u1} k _inst_12)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_13)] (r : Int) (x : V), Eq.{succ u2} V (SMul.smul.{u1, u2} k V (SMulZeroClass.toHasSmul.{u1, u2} k V (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_13)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k V (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (CommRing.toRing.{u1} k _inst_12)))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_13)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k V (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (CommRing.toRing.{u1} k _inst_12))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_13)))) (Module.toMulActionWithZero.{u1, u2} k V (Ring.toSemiring.{u1} k (CommRing.toRing.{u1} k _inst_12)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_13) _inst_14)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int k (HasLiftT.mk.{1, succ u1} Int k (CoeTCₓ.coe.{1, succ u1} Int k (Int.castCoe.{u1} k (AddGroupWithOne.toHasIntCast.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (CommRing.toRing.{u1} k _inst_12))))))) r) x) (SMul.smul.{0, u2} Int V (SubNegMonoid.SMulInt.{u2} V (AddGroup.toSubNegMonoid.{u2} V (AddCommGroup.toAddGroup.{u2} V _inst_13))) r x)
 but is expected to have type
-  forall {k : Type.{u2}} {V : Type.{u1}} [_inst_12 : CommRing.{u2} k] [_inst_13 : AddCommGroup.{u1} V] [_inst_14 : Module.{u2, u1} k V (Ring.toSemiring.{u2} k (CommRing.toRing.{u2} k _inst_12)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_13)] (r : Int) (x : V), Eq.{succ u1} V (HSMul.hSMul.{u2, u1, u1} k V V (instHSMul.{u2, u1} k V (SMulZeroClass.toSMul.{u2, u1} k V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_13))))) (SMulWithZero.toSMulZeroClass.{u2, u1} k V (CommMonoidWithZero.toZero.{u2} k (CommSemiring.toCommMonoidWithZero.{u2} k (CommRing.toCommSemiring.{u2} k _inst_12))) (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_13))))) (MulActionWithZero.toSMulWithZero.{u2, u1} k V (Semiring.toMonoidWithZero.{u2} k (Ring.toSemiring.{u2} k (CommRing.toRing.{u2} k _inst_12))) (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_13))))) (Module.toMulActionWithZero.{u2, u1} k V (Ring.toSemiring.{u2} k (CommRing.toRing.{u2} k _inst_12)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_13) _inst_14))))) (Int.cast.{u2} k (Ring.toIntCast.{u2} k (CommRing.toRing.{u2} k _inst_12)) r) x) (HSMul.hSMul.{0, u1, u1} Int V V (instHSMul.{0, u1} Int V (SubNegMonoid.SMulInt.{u1} V (AddGroup.toSubNegMonoid.{u1} V (AddCommGroup.toAddGroup.{u1} V _inst_13)))) r x)
+  forall {k : Type.{u2}} {V : Type.{u1}} [_inst_12 : CommRing.{u2} k] [_inst_13 : AddCommGroup.{u1} V] [_inst_14 : Module.{u2, u1} k V (CommSemiring.toSemiring.{u2} k (CommRing.toCommSemiring.{u2} k _inst_12)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_13)] (r : Int) (x : V), Eq.{succ u1} V (HSMul.hSMul.{u2, u1, u1} k V V (instHSMul.{u2, u1} k V (SMulZeroClass.toSMul.{u2, u1} k V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_13))))) (SMulWithZero.toSMulZeroClass.{u2, u1} k V (CommMonoidWithZero.toZero.{u2} k (CommSemiring.toCommMonoidWithZero.{u2} k (CommRing.toCommSemiring.{u2} k _inst_12))) (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_13))))) (MulActionWithZero.toSMulWithZero.{u2, u1} k V (Semiring.toMonoidWithZero.{u2} k (CommSemiring.toSemiring.{u2} k (CommRing.toCommSemiring.{u2} k _inst_12))) (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_13))))) (Module.toMulActionWithZero.{u2, u1} k V (CommSemiring.toSemiring.{u2} k (CommRing.toCommSemiring.{u2} k _inst_12)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_13) _inst_14))))) (Int.cast.{u2} k (Ring.toIntCast.{u2} k (CommRing.toRing.{u2} k _inst_12)) r) x) (HSMul.hSMul.{0, u1, u1} Int V V (instHSMul.{0, u1} Int V (SubNegMonoid.SMulInt.{u1} V (AddGroup.toSubNegMonoid.{u1} V (AddCommGroup.toAddGroup.{u1} V _inst_13)))) r x)
 Case conversion may be inaccurate. Consider using '#align int_cast_smul intCast_smulₓ'. -/
 theorem intCast_smul {k V : Type _} [CommRing k] [AddCommGroup V] [Module k V] (r : ℤ) (x : V) :
     (r : k) • x = r • x :=
@@ -1409,7 +1409,7 @@ theorem intCast_smul {k V : Type _} [CommRing k] [AddCommGroup V] [Module k V] (
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) (M : Type.{u3}) [_inst_12 : CommRing.{u1} R] [_inst_13 : Ring.{u2} A] [_inst_14 : IsDomain.{u2} A (Ring.toSemiring.{u2} A _inst_13)] [_inst_15 : Algebra.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_12) (Ring.toSemiring.{u2} A _inst_13)] [_inst_16 : AddCommGroup.{u3} M] [_inst_17 : Module.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_12)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)] [_inst_18 : Module.{u2, u3} A M (Ring.toSemiring.{u2} A _inst_13) (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)] [_inst_19 : IsScalarTower.{u1, u2, u3} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_13))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_12)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_13))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_12))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_13))))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_12)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_13)))) (Algebra.toModule.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_12) (Ring.toSemiring.{u2} A _inst_13) _inst_15))))) (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (Module.toMulActionWithZero.{u2, u3} A M (Ring.toSemiring.{u2} A _inst_13) (AddCommGroup.toAddCommMonoid.{u3} M _inst_16) _inst_18)))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_12)))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_12))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_12)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_16) _inst_17))))] [_inst_20 : NoZeroSMulDivisors.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_12)))))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_13))))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_13))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_12)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_13))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_12))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_13))))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_12)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_13)))) (Algebra.toModule.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_12) (Ring.toSemiring.{u2} A _inst_13) _inst_15)))))] [_inst_21 : NoZeroSMulDivisors.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_13))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_16))))) (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (Module.toMulActionWithZero.{u2, u3} A M (Ring.toSemiring.{u2} A _inst_13) (AddCommGroup.toAddCommMonoid.{u3} M _inst_16) _inst_18))))], NoZeroSMulDivisors.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_12)))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (SubNegMonoid.toAddMonoid.{u3} M (AddGroup.toSubNegMonoid.{u3} M (AddCommGroup.toAddGroup.{u3} M _inst_16))))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_12)))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_12))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (AddCommGroup.toAddCommMonoid.{u3} M _inst_16)))) (Module.toMulActionWithZero.{u1, u3} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_12)) (AddCommGroup.toAddCommMonoid.{u3} M _inst_16) _inst_17))))
 but is expected to have type
-  forall (R : Type.{u3}) (A : Type.{u2}) (M : Type.{u1}) [_inst_12 : CommRing.{u3} R] [_inst_13 : Ring.{u2} A] [_inst_14 : IsDomain.{u2} A (Ring.toSemiring.{u2} A _inst_13)] [_inst_15 : Algebra.{u3, u2} R A (CommRing.toCommSemiring.{u3} R _inst_12) (Ring.toSemiring.{u2} A _inst_13)] [_inst_16 : AddCommGroup.{u1} M] [_inst_17 : Module.{u3, u1} R M (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_12)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_16)] [_inst_18 : Module.{u2, u1} A M (Ring.toSemiring.{u2} A _inst_13) (AddCommGroup.toAddCommMonoid.{u1} M _inst_16)] [_inst_19 : IsScalarTower.{u3, u2, u1} R A M (Algebra.toSMul.{u3, u2} R A (CommRing.toCommSemiring.{u3} R _inst_12) (Ring.toSemiring.{u2} A _inst_13) _inst_15) (SMulZeroClass.toSMul.{u2, u1} A M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (SMulWithZero.toSMulZeroClass.{u2, u1} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (MulActionWithZero.toSMulWithZero.{u2, u1} A M (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13)) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (Module.toMulActionWithZero.{u2, u1} A M (Ring.toSemiring.{u2} A _inst_13) (AddCommGroup.toAddCommMonoid.{u1} M _inst_16) _inst_18)))) (SMulZeroClass.toSMul.{u3, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (SMulWithZero.toSMulZeroClass.{u3, u1} R M (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (MulActionWithZero.toSMulWithZero.{u3, u1} R M (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_12))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (Module.toMulActionWithZero.{u3, u1} R M (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_12)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_16) _inst_17))))] [_inst_20 : NoZeroSMulDivisors.{u3, u2} R A (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13))) (Algebra.toSMul.{u3, u2} R A (CommRing.toCommSemiring.{u3} R _inst_12) (Ring.toSemiring.{u2} A _inst_13) _inst_15)] [_inst_21 : NoZeroSMulDivisors.{u2, u1} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (SMulZeroClass.toSMul.{u2, u1} A M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (SMulWithZero.toSMulZeroClass.{u2, u1} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (MulActionWithZero.toSMulWithZero.{u2, u1} A M (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13)) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (Module.toMulActionWithZero.{u2, u1} A M (Ring.toSemiring.{u2} A _inst_13) (AddCommGroup.toAddCommMonoid.{u1} M _inst_16) _inst_18))))], NoZeroSMulDivisors.{u3, u1} R M (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (SMulZeroClass.toSMul.{u3, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (SMulWithZero.toSMulZeroClass.{u3, u1} R M (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (MulActionWithZero.toSMulWithZero.{u3, u1} R M (Semiring.toMonoidWithZero.{u3} R (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_12))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (Module.toMulActionWithZero.{u3, u1} R M (Ring.toSemiring.{u3} R (CommRing.toRing.{u3} R _inst_12)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_16) _inst_17))))
+  forall (R : Type.{u3}) (A : Type.{u2}) (M : Type.{u1}) [_inst_12 : CommRing.{u3} R] [_inst_13 : Ring.{u2} A] [_inst_14 : IsDomain.{u2} A (Ring.toSemiring.{u2} A _inst_13)] [_inst_15 : Algebra.{u3, u2} R A (CommRing.toCommSemiring.{u3} R _inst_12) (Ring.toSemiring.{u2} A _inst_13)] [_inst_16 : AddCommGroup.{u1} M] [_inst_17 : Module.{u3, u1} R M (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_16)] [_inst_18 : Module.{u2, u1} A M (Ring.toSemiring.{u2} A _inst_13) (AddCommGroup.toAddCommMonoid.{u1} M _inst_16)] [_inst_19 : IsScalarTower.{u3, u2, u1} R A M (Algebra.toSMul.{u3, u2} R A (CommRing.toCommSemiring.{u3} R _inst_12) (Ring.toSemiring.{u2} A _inst_13) _inst_15) (SMulZeroClass.toSMul.{u2, u1} A M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (SMulWithZero.toSMulZeroClass.{u2, u1} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (MulActionWithZero.toSMulWithZero.{u2, u1} A M (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13)) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (Module.toMulActionWithZero.{u2, u1} A M (Ring.toSemiring.{u2} A _inst_13) (AddCommGroup.toAddCommMonoid.{u1} M _inst_16) _inst_18)))) (SMulZeroClass.toSMul.{u3, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (SMulWithZero.toSMulZeroClass.{u3, u1} R M (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (MulActionWithZero.toSMulWithZero.{u3, u1} R M (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (Module.toMulActionWithZero.{u3, u1} R M (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_16) _inst_17))))] [_inst_20 : NoZeroSMulDivisors.{u3, u2} R A (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13))) (Algebra.toSMul.{u3, u2} R A (CommRing.toCommSemiring.{u3} R _inst_12) (Ring.toSemiring.{u2} A _inst_13) _inst_15)] [_inst_21 : NoZeroSMulDivisors.{u2, u1} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (SMulZeroClass.toSMul.{u2, u1} A M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (SMulWithZero.toSMulZeroClass.{u2, u1} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (MulActionWithZero.toSMulWithZero.{u2, u1} A M (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_13)) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (Module.toMulActionWithZero.{u2, u1} A M (Ring.toSemiring.{u2} A _inst_13) (AddCommGroup.toAddCommMonoid.{u1} M _inst_16) _inst_18))))], NoZeroSMulDivisors.{u3, u1} R M (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (SMulZeroClass.toSMul.{u3, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (SMulWithZero.toSMulZeroClass.{u3, u1} R M (CommMonoidWithZero.toZero.{u3} R (CommSemiring.toCommMonoidWithZero.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (MulActionWithZero.toSMulWithZero.{u3, u1} R M (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_16))))) (Module.toMulActionWithZero.{u3, u1} R M (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_12)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_16) _inst_17))))
 Case conversion may be inaccurate. Consider using '#align no_zero_smul_divisors.trans NoZeroSMulDivisors.transₓ'. -/
 theorem NoZeroSMulDivisors.trans (R A M : Type _) [CommRing R] [Ring A] [IsDomain A] [Algebra R A]
     [AddCommGroup M] [Module R M] [Module A M] [IsScalarTower R A M] [NoZeroSMulDivisors R A]
@@ -1504,7 +1504,7 @@ theorem coe_restrictScalars (f : M →ₗ[A] N) : ((f : M →ₗ[R] N) : M → N
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommRing.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))], LinearMap.{u3, u3, max u2 u3, max u2 u3} A A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15)))))) (LinearMap.module.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (Semiring.toModule.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))) (LinearMap.ltoFun._proof_1.{u1, u3} R A _inst_12 _inst_15 _inst_16)) (Pi.Function.module.{u2, u3, u3} M A A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) (Semiring.toModule.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))))
 but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommSemiring.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15)], LinearMap.{u3, u3, max u3 u2, max u2 u3} A A (CommSemiring.toSemiring.{u3} A _inst_15) (CommSemiring.toSemiring.{u3} A _inst_15) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (CommSemiring.toSemiring.{u3} A _inst_15) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (Algebra.to_smulCommClass.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (Pi.module.{u2, u3, u3} M (fun (a._@.Mathlib.Algebra.Algebra.Basic._hyg.6642 : M) => A) A (CommSemiring.toSemiring.{u3} A _inst_15) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (fun (i : M) => Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))
+  forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommSemiring.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15)], LinearMap.{u3, u3, max u3 u2, max u2 u3} A A (CommSemiring.toSemiring.{u3} A _inst_15) (CommSemiring.toSemiring.{u3} A _inst_15) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (CommSemiring.toSemiring.{u3} A _inst_15) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (Algebra.to_smulCommClass.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (Pi.module.{u2, u3, u3} M (fun (a._@.Mathlib.Algebra.Algebra.Basic._hyg.6659 : M) => A) A (CommSemiring.toSemiring.{u3} A _inst_15) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (fun (i : M) => Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))
 Case conversion may be inaccurate. Consider using '#align linear_map.lto_fun LinearMap.ltoFunₓ'. -/
 /-- `A`-linearly coerce a `R`-linear map from `M` to `A` to a function, given an algebra `A` over
 a commutative semiring `R` and `M` a module over `R`. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/36b8aa61ea7c05727161f96a0532897bd72aedab

@@ -1444,11 +1444,17 @@ instance (priority := 100) IsScalarTower.to_smulCommClass' : SMulCommClass A R M
 #align is_scalar_tower.to_smul_comm_class' IsScalarTower.to_smulCommClass'
 -/
 
+/- warning: algebra.to_smul_comm_class -> Algebra.to_smulCommClass is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_12 : CommSemiring.{u1} R] [_inst_13 : Semiring.{u2} A] [_inst_14 : Algebra.{u1, u2} R A _inst_12 _inst_13], SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_13)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_13)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_13)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_12) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_13))) (Algebra.toModule.{u1, u2} R A _inst_12 _inst_13 _inst_14))))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_13)))))
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_12 : CommSemiring.{u1} R] [_inst_13 : Semiring.{u2} A] [_inst_14 : Algebra.{u1, u2} R A _inst_12 _inst_13], SMulCommClass.{u1, u2, u2} R A A (Algebra.toSMul.{u1, u2} R A _inst_12 _inst_13 _inst_14) (SMulZeroClass.toSMul.{u2, u2} A A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_13)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_13)) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_13)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_13))))))
+Case conversion may be inaccurate. Consider using '#align algebra.to_smul_comm_class Algebra.to_smulCommClassₓ'. -/
 -- see Note [lower instance priority]
-instance (priority := 200) Algebra.to_sMulCommClass {R A} [CommSemiring R] [Semiring A]
+instance (priority := 200) Algebra.to_smulCommClass {R A} [CommSemiring R] [Semiring A]
     [Algebra R A] : SMulCommClass R A A :=
   IsScalarTower.to_smulCommClass
-#align algebra.to_smul_comm_class Algebra.to_sMulCommClass
+#align algebra.to_smul_comm_class Algebra.to_smulCommClass
 
 #print smul_algebra_smul_comm /-
 theorem smul_algebra_smul_comm (r : R) (a : A) (m : M) : a • r • m = r • a • m :=
@@ -1498,7 +1504,7 @@ theorem coe_restrictScalars (f : M →ₗ[A] N) : ((f : M →ₗ[R] N) : M → N
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommRing.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))], LinearMap.{u3, u3, max u2 u3, max u2 u3} A A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15)))))) (LinearMap.module.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (Semiring.toModule.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))) (LinearMap.ltoFun._proof_1.{u1, u3} R A _inst_12 _inst_15 _inst_16)) (Pi.Function.module.{u2, u3, u3} M A A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) (Semiring.toModule.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))))
 but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommSemiring.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15)], LinearMap.{u3, u3, max u3 u2, max u2 u3} A A (CommSemiring.toSemiring.{u3} A _inst_15) (CommSemiring.toSemiring.{u3} A _inst_15) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (CommSemiring.toSemiring.{u3} A _inst_15) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (IsScalarTower.to_smulCommClass.{u1, u3, u3} R _inst_12 A (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (IsScalarTower.right.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16))) (Pi.module.{u2, u3, u3} M (fun (a._@.Mathlib.Algebra.Algebra.Basic._hyg.6573 : M) => A) A (CommSemiring.toSemiring.{u3} A _inst_15) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (fun (i : M) => Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))
+  forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommSemiring.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15)], LinearMap.{u3, u3, max u3 u2, max u2 u3} A A (CommSemiring.toSemiring.{u3} A _inst_15) (CommSemiring.toSemiring.{u3} A _inst_15) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (CommSemiring.toSemiring.{u3} A _inst_15) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (Algebra.to_smulCommClass.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (Pi.module.{u2, u3, u3} M (fun (a._@.Mathlib.Algebra.Algebra.Basic._hyg.6642 : M) => A) A (CommSemiring.toSemiring.{u3} A _inst_15) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (fun (i : M) => Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))
 Case conversion may be inaccurate. Consider using '#align linear_map.lto_fun LinearMap.ltoFunₓ'. -/
 /-- `A`-linearly coerce a `R`-linear map from `M` to `A` to a function, given an algebra `A` over
 a commutative semiring `R` and `M` a module over `R`. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/36b8aa61ea7c05727161f96a0532897bd72aedab

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
 
 ! This file was ported from Lean 3 source module algebra.algebra.basic
-! leanprover-community/mathlib commit 2651125b48fc5c170ab1111afd0817c903b1fc6c
+! leanprover-community/mathlib commit 36b8aa61ea7c05727161f96a0532897bd72aedab
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -1444,6 +1444,12 @@ instance (priority := 100) IsScalarTower.to_smulCommClass' : SMulCommClass A R M
 #align is_scalar_tower.to_smul_comm_class' IsScalarTower.to_smulCommClass'
 -/
 
+-- see Note [lower instance priority]
+instance (priority := 200) Algebra.to_sMulCommClass {R A} [CommSemiring R] [Semiring A]
+    [Algebra R A] : SMulCommClass R A A :=
+  IsScalarTower.to_smulCommClass
+#align algebra.to_smul_comm_class Algebra.to_sMulCommClass
+
 #print smul_algebra_smul_comm /-
 theorem smul_algebra_smul_comm (r : R) (a : A) (m : M) : a • r • m = r • a • m :=
   smul_comm _ _ _

mathlib commit https://github.com/leanprover-community/mathlib/commit/d2d964c64f8ddcccd6704a731c41f95d13e72f5c

@@ -1492,7 +1492,7 @@ theorem coe_restrictScalars (f : M →ₗ[A] N) : ((f : M →ₗ[R] N) : M → N
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommRing.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))], LinearMap.{u3, u3, max u2 u3, max u2 u3} A A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15)))))) (LinearMap.module.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (Semiring.toModule.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))) (LinearMap.ltoFun._proof_1.{u1, u3} R A _inst_12 _inst_15 _inst_16)) (Pi.Function.module.{u2, u3, u3} M A A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) (Semiring.toModule.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))))
 but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommSemiring.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15)], LinearMap.{u3, u3, max u3 u2, max u2 u3} A A (CommSemiring.toSemiring.{u3} A _inst_15) (CommSemiring.toSemiring.{u3} A _inst_15) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (CommSemiring.toSemiring.{u3} A _inst_15) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (IsScalarTower.to_smulCommClass.{u1, u3, u3} R _inst_12 A (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (IsScalarTower.right.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16))) (Pi.module.{u2, u3, u3} M (fun (a._@.Mathlib.Algebra.Algebra.Basic._hyg.6634 : M) => A) A (CommSemiring.toSemiring.{u3} A _inst_15) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (fun (i : M) => Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))
+  forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommSemiring.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15)], LinearMap.{u3, u3, max u3 u2, max u2 u3} A A (CommSemiring.toSemiring.{u3} A _inst_15) (CommSemiring.toSemiring.{u3} A _inst_15) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (CommSemiring.toSemiring.{u3} A _inst_15) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (IsScalarTower.to_smulCommClass.{u1, u3, u3} R _inst_12 A (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (IsScalarTower.right.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16))) (Pi.module.{u2, u3, u3} M (fun (a._@.Mathlib.Algebra.Algebra.Basic._hyg.6573 : M) => A) A (CommSemiring.toSemiring.{u3} A _inst_15) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (fun (i : M) => Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))
 Case conversion may be inaccurate. Consider using '#align linear_map.lto_fun LinearMap.ltoFunₓ'. -/
 /-- `A`-linearly coerce a `R`-linear map from `M` to `A` to a function, given an algebra `A` over
 a commutative semiring `R` and `M` a module over `R`. -/

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

@@ -1059,7 +1059,7 @@ theorem End_isUnit_iff (f : Module.End R M) : IsUnit f ↔ Function.Bijective f
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M (coeFn.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (fun (x : Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) => M -> M) (coeFnTrans.{succ u2, succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeBaseAux.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Units.hasCoe.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (Inv.inv.{u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.hasInv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h)) m) m') (Eq.{succ u2} M m (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) x m'))
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInvUnits.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m) m') (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => 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R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m) m') (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
 Case conversion may be inaccurate. Consider using '#align module.End_algebra_map_is_unit_inv_apply_eq_iff Module.End_algebraMap_isUnit_inv_apply_eq_iffₓ'. -/
 theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
     (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) : h.Unit⁻¹ m = m' ↔ m = x • m' :=
@@ -1075,7 +1075,7 @@ theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M m' (coeFn.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (fun (x : Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) => M -> M) (coeFnTrans.{succ u2, succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeBaseAux.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Units.hasCoe.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (Inv.inv.{u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.hasInv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h)) m)) (Eq.{succ u2} M m (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) x m'))
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M m' (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInvUnits.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m)) (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M m' (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m)) (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
 Case conversion may be inaccurate. Consider using '#align module.End_algebra_map_is_unit_inv_apply_eq_iff' Module.End_algebraMap_isUnit_inv_apply_eq_iff'ₓ'. -/
 theorem End_algebraMap_isUnit_inv_apply_eq_iff' {x : R}
     (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) : m' = h.Unit⁻¹ m ↔ m = x • m' :=

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
 
 ! This file was ported from Lean 3 source module algebra.algebra.basic
-! leanprover-community/mathlib commit 23aa88e32dcc9d2a24cca7bc23268567ed4cd7d6
+! leanprover-community/mathlib commit 2651125b48fc5c170ab1111afd0817c903b1fc6c
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -1122,17 +1122,6 @@ theorem map_mul_algebraMap (f : A →ₗ[R] B) (a : A) (r : R) :
 
 end LinearMap
 
-/- warning: rat.smul_one_eq_coe -> Rat.smul_one_eq_coe is a dubious translation:
-lean 3 declaration is
-  forall {A : Type.{u1}} [_inst_1 : DivisionRing.{u1} A] [_inst_2 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A (DivisionRing.toRing.{u1} A _inst_1))] (m : Rat), Eq.{succ u1} A (SMul.smul.{0, u1} Rat A (Algebra.toHasSmul.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A (DivisionRing.toRing.{u1} A _inst_1)) _inst_2) m (OfNat.ofNat.{u1} A 1 (OfNat.mk.{u1} A 1 (One.one.{u1} A (AddMonoidWithOne.toOne.{u1} A (AddGroupWithOne.toAddMonoidWithOne.{u1} A (AddCommGroupWithOne.toAddGroupWithOne.{u1} A (Ring.toAddCommGroupWithOne.{u1} A (DivisionRing.toRing.{u1} A _inst_1))))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Rat A (HasLiftT.mk.{1, succ u1} Rat A (CoeTCₓ.coe.{1, succ u1} Rat A (Rat.castCoe.{u1} A (DivisionRing.toHasRatCast.{u1} A _inst_1)))) m)
-but is expected to have type
-  forall {A : Type.{u1}} [_inst_1 : DivisionRing.{u1} A] [_inst_2 : Algebra.{0, u1} Rat A Rat.commSemiring (DivisionSemiring.toSemiring.{u1} A (DivisionRing.toDivisionSemiring.{u1} A _inst_1))] (m : Rat), Eq.{succ u1} A (SMul.smul.{0, u1} Rat A (Algebra.toSMul.{0, u1} Rat A Rat.commSemiring (DivisionSemiring.toSemiring.{u1} A (DivisionRing.toDivisionSemiring.{u1} A _inst_1)) _inst_2) m (OfNat.ofNat.{u1} A 1 (One.toOfNat1.{u1} A (NonAssocRing.toOne.{u1} A (Ring.toNonAssocRing.{u1} A (DivisionRing.toRing.{u1} A _inst_1)))))) (Rat.cast.{u1} A (DivisionRing.toRatCast.{u1} A _inst_1) m)
-Case conversion may be inaccurate. Consider using '#align rat.smul_one_eq_coe Rat.smul_one_eq_coeₓ'. -/
-@[simp]
-theorem Rat.smul_one_eq_coe {A : Type _} [DivisionRing A] [Algebra ℚ A] (m : ℚ) :
-    @SMul.smul Algebra.toHasSmul m (1 : A) = ↑m := by rw [Algebra.smul_def, mul_one, eq_ratCast]
-#align rat.smul_one_eq_coe Rat.smul_one_eq_coe
-
 section Nat
 
 variable {R : Type _} [Semiring R]

mathlib commit https://github.com/leanprover-community/mathlib/commit/09079525fd01b3dda35e96adaa08d2f943e1648c

@@ -148,7 +148,7 @@ def coeHTCT (R A : Type _) [CommSemiring R] [Semiring A] [Algebra R A] : HasLift
   ⟨fun r => algebraMap R A r⟩
 #align algebra_map.has_lift_t algebraMap.coeHTCT
 
-attribute [instance] algebraMap.coeHTCT
+attribute [instance 900] algebraMap.coeHTCT
 
 section CommSemiringSemiring
 
@@ -433,7 +433,7 @@ instance (priority := 200) toModule : Module R A
 
 -- From now on, we don't want to use the following instance anymore.
 -- Unfortunately, leaving it in place causes deterministic timeouts later in mathlib.
-attribute [instance] Algebra.toHasSmul
+attribute [instance 0] Algebra.toHasSmul
 
 /- warning: algebra.smul_def -> Algebra.smul_def is a dubious translation:
 lean 3 declaration is

mathlib commit https://github.com/leanprover-community/mathlib/commit/7e281deff072232a3c5b3e90034bd65dde396312

@@ -1503,7 +1503,7 @@ theorem coe_restrictScalars (f : M →ₗ[A] N) : ((f : M →ₗ[R] N) : M → N
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommRing.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))], LinearMap.{u3, u3, max u2 u3, max u2 u3} A A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15)))))) (LinearMap.module.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (Semiring.toModule.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))) (LinearMap.ltoFun._proof_1.{u1, u3} R A _inst_12 _inst_15 _inst_16)) (Pi.Function.module.{u2, u3, u3} M A A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) (Semiring.toModule.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))))
 but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommSemiring.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15)], LinearMap.{u3, u3, max u3 u2, max u2 u3} A A (CommSemiring.toSemiring.{u3} A _inst_15) (CommSemiring.toSemiring.{u3} A _inst_15) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (CommSemiring.toSemiring.{u3} A _inst_15) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (IsScalarTower.to_smulCommClass.{u1, u3, u3} R _inst_12 A (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (IsScalarTower.right.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16))) (Pi.module.{u2, u3, u3} M (fun (a._@.Mathlib.Algebra.Algebra.Basic._hyg.6632 : M) => A) A (CommSemiring.toSemiring.{u3} A _inst_15) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (fun (i : M) => Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))
+  forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommSemiring.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15)], LinearMap.{u3, u3, max u3 u2, max u2 u3} A A (CommSemiring.toSemiring.{u3} A _inst_15) (CommSemiring.toSemiring.{u3} A _inst_15) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (CommSemiring.toSemiring.{u3} A _inst_15) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (IsScalarTower.to_smulCommClass.{u1, u3, u3} R _inst_12 A (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (IsScalarTower.right.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16))) (Pi.module.{u2, u3, u3} M (fun (a._@.Mathlib.Algebra.Algebra.Basic._hyg.6634 : M) => A) A (CommSemiring.toSemiring.{u3} A _inst_15) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (fun (i : M) => Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))
 Case conversion may be inaccurate. Consider using '#align linear_map.lto_fun LinearMap.ltoFunₓ'. -/
 /-- `A`-linearly coerce a `R`-linear map from `M` to `A` to a function, given an algebra `A` over
 a commutative semiring `R` and `M` a module over `R`. -/

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

@@ -901,7 +901,7 @@ variable [CommSemiring R]
 
 /- warning: algebra.mul_sub_algebra_map_commutes -> Algebra.mul_sub_algebraMap_commutes is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2))) x (HSub.hSub.{u2, u2, u2} A A A (instHSub.{u2} A (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddGroupWithOne.toAddGroup.{u2} A (NonAssocRing.toAddGroupWithOne.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2))) (HSub.hSub.{u2, u2, u2} A A A (instHSub.{u2} A (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddGroupWithOne.toAddGroup.{u2} A (NonAssocRing.toAddGroupWithOne.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) x)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2))) x (HSub.hSub.{u2, u2, u2} A A A (instHSub.{u2} A (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddGroupWithOne.toAddGroup.{u2} A (AddCommGroupWithOne.toAddGroupWithOne.{u2} A (Ring.toAddCommGroupWithOne.{u2} A _inst_2)))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2))) (HSub.hSub.{u2, u2, u2} A A A (instHSub.{u2} A (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddGroupWithOne.toAddGroup.{u2} A (AddCommGroupWithOne.toAddGroupWithOne.{u2} A (Ring.toAddCommGroupWithOne.{u2} A _inst_2)))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) x)
 but is expected to have type
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) x (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) x)
 Case conversion may be inaccurate. Consider using '#align algebra.mul_sub_algebra_map_commutes Algebra.mul_sub_algebraMap_commutesₓ'. -/
@@ -911,7 +911,7 @@ theorem mul_sub_algebraMap_commutes [Ring A] [Algebra R A] (x : A) (r : R) :
 
 /- warning: algebra.mul_sub_algebra_map_pow_commutes -> Algebra.mul_sub_algebraMap_pow_commutes is a dubious translation:
 lean 3 declaration is
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+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R) (n : Nat), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2))) x (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (Ring.toMonoid.{u2} A _inst_2))) (HSub.hSub.{u2, u2, u2} A A A (instHSub.{u2} A (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddGroupWithOne.toAddGroup.{u2} A (AddCommGroupWithOne.toAddGroupWithOne.{u2} A (Ring.toAddCommGroupWithOne.{u2} A _inst_2)))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2))) (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (Ring.toMonoid.{u2} A _inst_2))) (HSub.hSub.{u2, u2, u2} A A A (instHSub.{u2} A (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddGroupWithOne.toAddGroup.{u2} A (AddCommGroupWithOne.toAddGroupWithOne.{u2} A (Ring.toAddCommGroupWithOne.{u2} A _inst_2)))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n) x)
 but is expected to have type
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R) (n : Nat), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) x (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2))))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => 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(Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2))))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n) x)
 Case conversion may be inaccurate. Consider using '#align algebra.mul_sub_algebra_map_pow_commutes Algebra.mul_sub_algebraMap_pow_commutesₓ'. -/
@@ -1124,7 +1124,7 @@ end LinearMap
 
 /- warning: rat.smul_one_eq_coe -> Rat.smul_one_eq_coe is a dubious translation:
 lean 3 declaration is
-  forall {A : Type.{u1}} [_inst_1 : DivisionRing.{u1} A] [_inst_2 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A (DivisionRing.toRing.{u1} A _inst_1))] (m : Rat), Eq.{succ u1} A (SMul.smul.{0, u1} Rat A (Algebra.toHasSmul.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A (DivisionRing.toRing.{u1} A _inst_1)) _inst_2) m (OfNat.ofNat.{u1} A 1 (OfNat.mk.{u1} A 1 (One.one.{u1} A (AddMonoidWithOne.toOne.{u1} A (AddGroupWithOne.toAddMonoidWithOne.{u1} A (NonAssocRing.toAddGroupWithOne.{u1} A (Ring.toNonAssocRing.{u1} A (DivisionRing.toRing.{u1} A _inst_1))))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Rat A (HasLiftT.mk.{1, succ u1} Rat A (CoeTCₓ.coe.{1, succ u1} Rat A (Rat.castCoe.{u1} A (DivisionRing.toHasRatCast.{u1} A _inst_1)))) m)
+  forall {A : Type.{u1}} [_inst_1 : DivisionRing.{u1} A] [_inst_2 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A (DivisionRing.toRing.{u1} A _inst_1))] (m : Rat), Eq.{succ u1} A (SMul.smul.{0, u1} Rat A (Algebra.toHasSmul.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A (DivisionRing.toRing.{u1} A _inst_1)) _inst_2) m (OfNat.ofNat.{u1} A 1 (OfNat.mk.{u1} A 1 (One.one.{u1} A (AddMonoidWithOne.toOne.{u1} A (AddGroupWithOne.toAddMonoidWithOne.{u1} A (AddCommGroupWithOne.toAddGroupWithOne.{u1} A (Ring.toAddCommGroupWithOne.{u1} A (DivisionRing.toRing.{u1} A _inst_1))))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Rat A (HasLiftT.mk.{1, succ u1} Rat A (CoeTCₓ.coe.{1, succ u1} Rat A (Rat.castCoe.{u1} A (DivisionRing.toHasRatCast.{u1} A _inst_1)))) m)
 but is expected to have type
   forall {A : Type.{u1}} [_inst_1 : DivisionRing.{u1} A] [_inst_2 : Algebra.{0, u1} Rat A Rat.commSemiring (DivisionSemiring.toSemiring.{u1} A (DivisionRing.toDivisionSemiring.{u1} A _inst_1))] (m : Rat), Eq.{succ u1} A (SMul.smul.{0, u1} Rat A (Algebra.toSMul.{0, u1} Rat A Rat.commSemiring (DivisionSemiring.toSemiring.{u1} A (DivisionRing.toDivisionSemiring.{u1} A _inst_1)) _inst_2) m (OfNat.ofNat.{u1} A 1 (One.toOfNat1.{u1} A (NonAssocRing.toOne.{u1} A (Ring.toNonAssocRing.{u1} A (DivisionRing.toRing.{u1} A _inst_1)))))) (Rat.cast.{u1} A (DivisionRing.toRatCast.{u1} A _inst_1) m)
 Case conversion may be inaccurate. Consider using '#align rat.smul_one_eq_coe Rat.smul_one_eq_coeₓ'. -/
@@ -1184,7 +1184,7 @@ section Rat
 
 /- warning: algebra_rat -> algebraRat is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : DivisionRing.{u1} α] [_inst_2 : CharZero.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α (DivisionRing.toRing.{u1} α _inst_1))))], Algebra.{0, u1} Rat α Rat.commSemiring (Ring.toSemiring.{u1} α (DivisionRing.toRing.{u1} α _inst_1))
+  forall {α : Type.{u1}} [_inst_1 : DivisionRing.{u1} α] [_inst_2 : CharZero.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (DivisionRing.toRing.{u1} α _inst_1))))], Algebra.{0, u1} Rat α Rat.commSemiring (Ring.toSemiring.{u1} α (DivisionRing.toRing.{u1} α _inst_1))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : DivisionRing.{u1} α] [_inst_2 : CharZero.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (Ring.toAddGroupWithOne.{u1} α (DivisionRing.toRing.{u1} α _inst_1)))], Algebra.{0, u1} Rat α Rat.commSemiring (DivisionSemiring.toSemiring.{u1} α (DivisionRing.toDivisionSemiring.{u1} α _inst_1))
 Case conversion may be inaccurate. Consider using '#align algebra_rat algebraRatₓ'. -/
@@ -1308,7 +1308,7 @@ theorem algebraMap_injective [CommRing R] [Ring A] [Nontrivial A] [Algebra R A]
 
 /- warning: ne_zero.of_no_zero_smul_divisors -> NeZero.of_noZeroSMulDivisors is a dubious translation:
 lean 3 declaration is
-  forall (R : Type.{u1}) (A : Type.{u2}) (n : Nat) [_inst_1 : CommRing.{u1} R] [_inst_2 : NeZero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))))) n)] [_inst_3 : Ring.{u2} A] [_inst_4 : Nontrivial.{u2} A] [_inst_5 : Algebra.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_3)] [_inst_6 : NoZeroSMulDivisors.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_3))))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_3))))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_3)))) (Algebra.toModule.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_3) _inst_5)))))], NeZero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_3))))) ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Nat A (HasLiftT.mk.{1, succ u2} Nat A (CoeTCₓ.coe.{1, succ u2} Nat A (Nat.castCoe.{u2} A (AddMonoidWithOne.toNatCast.{u2} A (AddGroupWithOne.toAddMonoidWithOne.{u2} A (NonAssocRing.toAddGroupWithOne.{u2} A (Ring.toNonAssocRing.{u2} A _inst_3))))))) n)
+  forall (R : Type.{u1}) (A : Type.{u2}) (n : Nat) [_inst_1 : CommRing.{u1} R] [_inst_2 : NeZero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat R (HasLiftT.mk.{1, succ u1} Nat R (CoeTCₓ.coe.{1, succ u1} Nat R (Nat.castCoe.{u1} R (AddMonoidWithOne.toNatCast.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_1)))))))) n)] [_inst_3 : Ring.{u2} A] [_inst_4 : Nontrivial.{u2} A] [_inst_5 : Algebra.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_3)] [_inst_6 : NoZeroSMulDivisors.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_3))))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_3))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_3))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_3))))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_3)))) (Algebra.toModule.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_3) _inst_5)))))], NeZero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_3))))) ((fun (a : Type) (b : Type.{u2}) [self : HasLiftT.{1, succ u2} a b] => self.0) Nat A (HasLiftT.mk.{1, succ u2} Nat A (CoeTCₓ.coe.{1, succ u2} Nat A (Nat.castCoe.{u2} A (AddMonoidWithOne.toNatCast.{u2} A (AddGroupWithOne.toAddMonoidWithOne.{u2} A (AddCommGroupWithOne.toAddGroupWithOne.{u2} A (Ring.toAddCommGroupWithOne.{u2} A _inst_3))))))) n)
 but is expected to have type
   forall (R : Type.{u2}) (A : Type.{u1}) (n : Nat) [_inst_1 : CommRing.{u2} R] [_inst_2 : NeZero.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Nat.cast.{u2} R (NonAssocRing.toNatCast.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_1))) n)] [_inst_3 : Ring.{u1} A] [_inst_4 : Nontrivial.{u1} A] [_inst_5 : Algebra.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_3)] [_inst_6 : NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A _inst_3))) (Algebra.toSMul.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_3) _inst_5)], NeZero.{u1} A (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A _inst_3))) (Nat.cast.{u1} A (NonAssocRing.toNatCast.{u1} A (Ring.toNonAssocRing.{u1} A _inst_3)) n)
 Case conversion may be inaccurate. Consider using '#align ne_zero.of_no_zero_smul_divisors NeZero.of_noZeroSMulDivisorsₓ'. -/
@@ -1344,7 +1344,7 @@ instance (priority := 100) CharZero.noZeroSMulDivisors_nat [Semiring R] [NoZeroD
 
 /- warning: no_zero_smul_divisors.char_zero.no_zero_smul_divisors_int -> NoZeroSMulDivisors.CharZero.noZeroSMulDivisors_int is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] [_inst_2 : NoZeroDivisors.{u1} R (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R _inst_1)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))))] [_inst_3 : CharZero.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))], NoZeroSMulDivisors.{0, u1} Int R Int.hasZero (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))))) (SubNegMonoid.SMulInt.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))))
+  forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] [_inst_2 : NoZeroDivisors.{u1} R (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R _inst_1)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)))))] [_inst_3 : CharZero.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R _inst_1)))], NoZeroSMulDivisors.{0, u1} Int R Int.hasZero (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))))) (SubNegMonoid.SMulInt.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R _inst_1)))))
 but is expected to have type
   forall {R : Type.{u1}} [_inst_1 : Ring.{u1} R] [_inst_2 : NoZeroDivisors.{u1} R (NonUnitalNonAssocRing.toMul.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1))) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1)))] [_inst_3 : CharZero.{u1} R (AddGroupWithOne.toAddMonoidWithOne.{u1} R (Ring.toAddGroupWithOne.{u1} R _inst_1))], NoZeroSMulDivisors.{0, u1} Int R (CommMonoidWithZero.toZero.{0} Int (CancelCommMonoidWithZero.toCommMonoidWithZero.{0} Int (IsDomain.toCancelCommMonoidWithZero.{0} Int Int.instCommSemiringInt (LinearOrderedRing.isDomain.{0} Int (LinearOrderedCommRing.toLinearOrderedRing.{0} Int Int.linearOrderedCommRing))))) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (SubNegMonoid.SMulInt.{u1} R (AddGroup.toSubNegMonoid.{u1} R (AddGroupWithOne.toAddGroup.{u1} R (Ring.toAddGroupWithOne.{u1} R _inst_1))))
 Case conversion may be inaccurate. Consider using '#align no_zero_smul_divisors.char_zero.no_zero_smul_divisors_int NoZeroSMulDivisors.CharZero.noZeroSMulDivisors_intₓ'. -/
@@ -1407,7 +1407,7 @@ theorem algebraMap_smul (r : R) (m : M) : (algebraMap R A) r • m = r • m :=
 
 /- warning: int_cast_smul -> intCast_smul is a dubious translation:
 lean 3 declaration is
-  forall {k : Type.{u1}} {V : Type.{u2}} [_inst_12 : CommRing.{u1} k] [_inst_13 : AddCommGroup.{u2} V] [_inst_14 : Module.{u1, u2} k V (Ring.toSemiring.{u1} k (CommRing.toRing.{u1} k _inst_12)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_13)] (r : Int) (x : V), Eq.{succ u2} V (SMul.smul.{u1, u2} k V (SMulZeroClass.toHasSmul.{u1, u2} k V (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_13)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k V (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (CommRing.toRing.{u1} k _inst_12)))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_13)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k V (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (CommRing.toRing.{u1} k _inst_12))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_13)))) (Module.toMulActionWithZero.{u1, u2} k V (Ring.toSemiring.{u1} k (CommRing.toRing.{u1} k _inst_12)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_13) _inst_14)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int k (HasLiftT.mk.{1, succ u1} Int k (CoeTCₓ.coe.{1, succ u1} Int k (Int.castCoe.{u1} k (AddGroupWithOne.toHasIntCast.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (CommRing.toRing.{u1} k _inst_12))))))) r) x) (SMul.smul.{0, u2} Int V (SubNegMonoid.SMulInt.{u2} V (AddGroup.toSubNegMonoid.{u2} V (AddCommGroup.toAddGroup.{u2} V _inst_13))) r x)
+  forall {k : Type.{u1}} {V : Type.{u2}} [_inst_12 : CommRing.{u1} k] [_inst_13 : AddCommGroup.{u2} V] [_inst_14 : Module.{u1, u2} k V (Ring.toSemiring.{u1} k (CommRing.toRing.{u1} k _inst_12)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_13)] (r : Int) (x : V), Eq.{succ u2} V (SMul.smul.{u1, u2} k V (SMulZeroClass.toHasSmul.{u1, u2} k V (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_13)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k V (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (CommRing.toRing.{u1} k _inst_12)))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_13)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k V (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (CommRing.toRing.{u1} k _inst_12))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_13)))) (Module.toMulActionWithZero.{u1, u2} k V (Ring.toSemiring.{u1} k (CommRing.toRing.{u1} k _inst_12)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_13) _inst_14)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int k (HasLiftT.mk.{1, succ u1} Int k (CoeTCₓ.coe.{1, succ u1} Int k (Int.castCoe.{u1} k (AddGroupWithOne.toHasIntCast.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (CommRing.toRing.{u1} k _inst_12))))))) r) x) (SMul.smul.{0, u2} Int V (SubNegMonoid.SMulInt.{u2} V (AddGroup.toSubNegMonoid.{u2} V (AddCommGroup.toAddGroup.{u2} V _inst_13))) r x)
 but is expected to have type
   forall {k : Type.{u2}} {V : Type.{u1}} [_inst_12 : CommRing.{u2} k] [_inst_13 : AddCommGroup.{u1} V] [_inst_14 : Module.{u2, u1} k V (Ring.toSemiring.{u2} k (CommRing.toRing.{u2} k _inst_12)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_13)] (r : Int) (x : V), Eq.{succ u1} V (HSMul.hSMul.{u2, u1, u1} k V V (instHSMul.{u2, u1} k V (SMulZeroClass.toSMul.{u2, u1} k V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_13))))) (SMulWithZero.toSMulZeroClass.{u2, u1} k V (CommMonoidWithZero.toZero.{u2} k (CommSemiring.toCommMonoidWithZero.{u2} k (CommRing.toCommSemiring.{u2} k _inst_12))) (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_13))))) (MulActionWithZero.toSMulWithZero.{u2, u1} k V (Semiring.toMonoidWithZero.{u2} k (Ring.toSemiring.{u2} k (CommRing.toRing.{u2} k _inst_12))) (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_13))))) (Module.toMulActionWithZero.{u2, u1} k V (Ring.toSemiring.{u2} k (CommRing.toRing.{u2} k _inst_12)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_13) _inst_14))))) (Int.cast.{u2} k (Ring.toIntCast.{u2} k (CommRing.toRing.{u2} k _inst_12)) r) x) (HSMul.hSMul.{0, u1, u1} Int V V (instHSMul.{0, u1} Int V (SubNegMonoid.SMulInt.{u1} V (AddGroup.toSubNegMonoid.{u1} V (AddCommGroup.toAddGroup.{u1} V _inst_13)))) r x)
 Case conversion may be inaccurate. Consider using '#align int_cast_smul intCast_smulₓ'. -/

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

@@ -1182,7 +1182,12 @@ end RingHom
 
 section Rat
 
-#print algebraRat /-
+/- warning: algebra_rat -> algebraRat is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : DivisionRing.{u1} α] [_inst_2 : CharZero.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α (DivisionRing.toRing.{u1} α _inst_1))))], Algebra.{0, u1} Rat α Rat.commSemiring (Ring.toSemiring.{u1} α (DivisionRing.toRing.{u1} α _inst_1))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : DivisionRing.{u1} α] [_inst_2 : CharZero.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (Ring.toAddGroupWithOne.{u1} α (DivisionRing.toRing.{u1} α _inst_1)))], Algebra.{0, u1} Rat α Rat.commSemiring (DivisionSemiring.toSemiring.{u1} α (DivisionRing.toDivisionSemiring.{u1} α _inst_1))
+Case conversion may be inaccurate. Consider using '#align algebra_rat algebraRatₓ'. -/
 instance algebraRat {α} [DivisionRing α] [CharZero α] : Algebra ℚ α
     where
   smul := (· • ·)
@@ -1190,7 +1195,6 @@ instance algebraRat {α} [DivisionRing α] [CharZero α] : Algebra ℚ α
   toRingHom := Rat.castHom α
   commutes' := Rat.cast_commute
 #align algebra_rat algebraRat
--/
 
 /-- The two `algebra ℚ ℚ` instances should coincide. -/
 example : algebraRat = Algebra.id ℚ :=

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

@@ -964,7 +964,7 @@ instance : Algebra R Aᵐᵒᵖ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (c : R), Eq.{succ u2} (MulOpposite.{u2} A) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) => R -> (MulOpposite.{u2} A)) (RingHom.hasCoeToFun.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R (MulOpposite.{u2} A) _inst_1 (MulOpposite.semiring.{u2} A _inst_2) (MulOpposite.algebra.{u1, u2} R A _inst_1 _inst_2 _inst_3)) c) (MulOpposite.op.{u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) c))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (c : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MulOpposite.{u2} A) c) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MulOpposite.{u2} A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (MulOpposite.{u2} A) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (MulOpposite.{u2} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (MulOpposite.{u2} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R (MulOpposite.{u2} A) _inst_1 (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2) (MulOpposite.instAlgebraMulOppositeInstSemiringMulOpposite.{u1, u2} R A _inst_1 _inst_2 _inst_3)) c) (MulOpposite.op.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) c) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) c))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (c : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MulOpposite.{u2} A) c) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MulOpposite.{u2} A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) R (MulOpposite.{u2} A) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (MulOpposite.{u2} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) R (MulOpposite.{u2} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R (MulOpposite.{u2} A) _inst_1 (MulOpposite.semiring.{u2} A _inst_2) (MulOpposite.instAlgebraMulOppositeSemiring.{u1, u2} R A _inst_1 _inst_2 _inst_3)) c) (MulOpposite.op.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) c) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) c))
 Case conversion may be inaccurate. Consider using '#align mul_opposite.algebra_map_apply MulOpposite.algebraMap_applyₓ'. -/
 @[simp]
 theorem algebraMap_apply (c : R) : algebraMap R Aᵐᵒᵖ c = op (algebraMap R A c) :=

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

@@ -298,7 +298,7 @@ end algebraMap
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} S] (i : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)), (forall (c : R) (x : S), Eq.{succ u2} S (HMul.hMul.{u2, u2, u2} S S S (instHMul.{u2} S (Distrib.toHasMul.{u2} S (NonUnitalNonAssocSemiring.toDistrib.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) i c) x) (HMul.hMul.{u2, u2, u2} S S S (instHMul.{u2} S (Distrib.toHasMul.{u2} S (NonUnitalNonAssocSemiring.toDistrib.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) i c))) -> (Algebra.{u1, u2} R S _inst_1 _inst_2)
 but is expected to have type
-  forall {R : Type.{u1}} {S : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} S] (i : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)), (forall (c : R) (x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) _inst_2)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2))))) i c) x) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) _inst_2)))) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2))))) i c))) -> (Algebra.{u1, u2} R S _inst_1 _inst_2)
+  forall {R : Type.{u1}} {S : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} S] (i : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)), (forall (c : R) (x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) _inst_2)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2))))) i c) x) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) c) _inst_2)))) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2))))) i c))) -> (Algebra.{u1, u2} R S _inst_1 _inst_2)
 Case conversion may be inaccurate. Consider using '#align ring_hom.to_algebra' RingHom.toAlgebra'ₓ'. -/
 /-- Creating an algebra from a morphism to the center of a semiring. -/
 def RingHom.toAlgebra' {R S} [CommSemiring R] [Semiring S] (i : R →+* S)
@@ -390,7 +390,7 @@ private theorem smul_def'' (r : R) (x : A) : r • x = algebraMap R A r * x :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_7 : CommSemiring.{u1} R] {A : Type.{u2}} [_inst_8 : Semiring.{u2} A] (P : Algebra.{u1, u2} R A _inst_7 _inst_8) (Q : Algebra.{u1, u2} R A _inst_7 _inst_8), (forall (r : R), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_7)) (Semiring.toNonAssocSemiring.{u2} A _inst_8)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_7)) (Semiring.toNonAssocSemiring.{u2} A _inst_8)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_7)) (Semiring.toNonAssocSemiring.{u2} A _inst_8)) (algebraMap.{u1, u2} R A _inst_7 _inst_8 P) r) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_7)) (Semiring.toNonAssocSemiring.{u2} A _inst_8)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_7)) (Semiring.toNonAssocSemiring.{u2} A _inst_8)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_7)) (Semiring.toNonAssocSemiring.{u2} A _inst_8)) (algebraMap.{u1, u2} R A _inst_7 _inst_8 Q) r)) -> (Eq.{max (succ u1) (succ u2)} (Algebra.{u1, u2} R A _inst_7 _inst_8) P Q)
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_7 : CommSemiring.{u2} R] {A : Type.{u1}} [_inst_8 : Semiring.{u1} A] (P : Algebra.{u2, u1} R A _inst_7 _inst_8) (Q : Algebra.{u2, u1} R A _inst_7 _inst_8), (forall (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8))))) (algebraMap.{u2, u1} R A _inst_7 _inst_8 P) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8))))) (algebraMap.{u2, u1} R A _inst_7 _inst_8 Q) r)) -> (Eq.{max (succ u2) (succ u1)} (Algebra.{u2, u1} R A _inst_7 _inst_8) P Q)
+  forall {R : Type.{u2}} [_inst_7 : CommSemiring.{u2} R] {A : Type.{u1}} [_inst_8 : Semiring.{u1} A] (P : Algebra.{u2, u1} R A _inst_7 _inst_8) (Q : Algebra.{u2, u1} R A _inst_7 _inst_8), (forall (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8))))) (algebraMap.{u2, u1} R A _inst_7 _inst_8 P) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8))))) (algebraMap.{u2, u1} R A _inst_7 _inst_8 Q) r)) -> (Eq.{max (succ u2) (succ u1)} (Algebra.{u2, u1} R A _inst_7 _inst_8) P Q)
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_ext Algebra.algebra_extₓ'. -/
 -- We'll later use this to show `algebra ℤ M` is a subsingleton.
 /-- To prove two algebra structures on a fixed `[comm_semiring R] [semiring A]` agree,
@@ -439,7 +439,7 @@ attribute [instance] Algebra.toHasSmul
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R) (x : A), Eq.{succ u2} A (SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4))))) r x) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) x)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R) (x : A), Eq.{succ u2} A (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_3 _inst_4)) r x) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) x)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R) (x : A), Eq.{succ u2} A (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_3 _inst_4)) r x) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) x)
 Case conversion may be inaccurate. Consider using '#align algebra.smul_def Algebra.smul_defₓ'. -/
 theorem smul_def (r : R) (x : A) : r • x = algebraMap R A r * x :=
   Algebra.smul_def' r x
@@ -449,7 +449,7 @@ theorem smul_def (r : R) (x : A) : r • x = algebraMap R A r * x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4))))) r (OfNat.ofNat.{u2} A 1 (OfNat.mk.{u2} A 1 (One.one.{u2} A (AddMonoidWithOne.toOne.{u2} A (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} A (NonAssocSemiring.toAddCommMonoidWithOne.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_3 _inst_4)) r (OfNat.ofNat.{u2} A 1 (One.toOfNat1.{u2} A (Semiring.toOne.{u2} A _inst_3))))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_3 _inst_4)) r (OfNat.ofNat.{u2} A 1 (One.toOfNat1.{u2} A (Semiring.toOne.{u2} A _inst_3))))
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_eq_smul_one Algebra.algebraMap_eq_smul_oneₓ'. -/
 theorem algebraMap_eq_smul_one (r : R) : algebraMap R A r = r • 1 :=
   calc
@@ -462,7 +462,7 @@ theorem algebraMap_eq_smul_one (r : R) : algebraMap R A r = r • 1 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (R -> A) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (r : R) => SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4))))) r (OfNat.ofNat.{u2} A 1 (OfNat.mk.{u2} A 1 (One.one.{u2} A (AddMonoidWithOne.toOne.{u2} A (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} A (NonAssocSemiring.toAddCommMonoidWithOne.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (forall (ᾰ : R), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) ᾰ) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (r : R) => HSMul.hSMul.{u1, u2, u2} R A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (instHSMul.{u1, u2} R A (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_3 _inst_4)) r (OfNat.ofNat.{u2} A 1 (One.toOfNat1.{u2} A (Semiring.toOne.{u2} A _inst_3))))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (forall (ᾰ : R), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) ᾰ) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (r : R) => HSMul.hSMul.{u1, u2, u2} R A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (instHSMul.{u1, u2} R A (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_3 _inst_4)) r (OfNat.ofNat.{u2} A 1 (One.toOfNat1.{u2} A (Semiring.toOne.{u2} A _inst_3))))
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_eq_smul_one' Algebra.algebraMap_eq_smul_one'ₓ'. -/
 theorem algebraMap_eq_smul_one' : ⇑(algebraMap R A) = fun r => r • (1 : A) :=
   funext algebraMap_eq_smul_one
@@ -472,7 +472,7 @@ theorem algebraMap_eq_smul_one' : ⇑(algebraMap R A) = fun r => r • (1 : A) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R) (x : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) x) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R) (x : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) x) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R) (x : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) x) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
 Case conversion may be inaccurate. Consider using '#align algebra.commutes Algebra.commutesₓ'. -/
 /-- `mul_comm` for `algebra`s when one element is from the base ring. -/
 theorem commutes (r : R) (x : A) : algebraMap R A r * x = x * algebraMap R A r :=
@@ -483,7 +483,7 @@ theorem commutes (r : R) (x : A) : algebraMap R A r * x = x * algebraMap R A r :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (x : A) (r : R) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) x (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) y)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) x y))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (x : A) (r : R) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) y)) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x y))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (x : A) (r : R) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) y)) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x y))
 Case conversion may be inaccurate. Consider using '#align algebra.left_comm Algebra.left_commₓ'. -/
 /-- `mul_left_comm` for `algebra`s when one element is from the base ring. -/
 theorem left_comm (x : A) (r : R) (y : A) :
@@ -495,7 +495,7 @@ theorem left_comm (x : A) (r : R) (y : A) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (x : A) (r : R) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)) y) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) x y) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (x : A) (r : R) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)) y) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x y) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (x : A) (r : R) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)) y) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x y) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
 Case conversion may be inaccurate. Consider using '#align algebra.right_comm Algebra.right_commₓ'. -/
 /-- `mul_right_comm` for `algebra`s when one element is from the base ring. -/
 theorem right_comm (x : A) (r : R) (y : A) : x * algebraMap R A r * y = x * y * algebraMap R A r :=
@@ -544,7 +544,7 @@ protected theorem smul_mul_assoc (r : R) (x y : A) : r • x * y = r • (x * y)
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] {α : Type.{u3}} [_inst_7 : Monoid.{u3} α] [_inst_8 : MulDistribMulAction.{u3, u2} α A _inst_7 (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_3))] [_inst_9 : SMulCommClass.{u3, u1, u2} α R A (MulAction.toHasSmul.{u3, u2} α A _inst_7 (MulDistribMulAction.toMulAction.{u3, u2} α A _inst_7 (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_3)) _inst_8)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)))))] (a : α) (r : R), Eq.{succ u2} A (SMul.smul.{u3, u2} α A (MulAction.toHasSmul.{u3, u2} α A _inst_7 (MulDistribMulAction.toMulAction.{u3, u2} α A _inst_7 (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_3)) _inst_8)) a (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u2, u3} R A _inst_1 _inst_3] {α : Type.{u1}} [_inst_7 : Monoid.{u1} α] [_inst_8 : MulDistribMulAction.{u1, u3} α A _inst_7 (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_3))] [_inst_9 : SMulCommClass.{u1, u2, u3} α R A (MulAction.toSMul.{u1, u3} α A _inst_7 (MulDistribMulAction.toMulAction.{u1, u3} α A _inst_7 (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_3)) _inst_8)) (Algebra.toSMul.{u2, u3} R A _inst_1 _inst_3 _inst_4)] (a : α) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (HSMul.hSMul.{u1, u3, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (instHSMul.{u1, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (MulAction.toSMul.{u1, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_7 (MulDistribMulAction.toMulAction.{u1, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_7 (MonoidWithZero.toMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_3)) _inst_8))) a (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r)
+  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u2, u3} R A _inst_1 _inst_3] {α : Type.{u1}} [_inst_7 : Monoid.{u1} α] [_inst_8 : MulDistribMulAction.{u1, u3} α A _inst_7 (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_3))] [_inst_9 : SMulCommClass.{u1, u2, u3} α R A (MulAction.toSMul.{u1, u3} α A _inst_7 (MulDistribMulAction.toMulAction.{u1, u3} α A _inst_7 (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_3)) _inst_8)) (Algebra.toSMul.{u2, u3} R A _inst_1 _inst_3 _inst_4)] (a : α) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (HSMul.hSMul.{u1, u3, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (instHSMul.{u1, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (MulAction.toSMul.{u1, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_7 (MulDistribMulAction.toMulAction.{u1, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_7 (MonoidWithZero.toMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_3)) _inst_8))) a (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r)
 Case conversion may be inaccurate. Consider using '#align smul_algebra_map smul_algebraMapₓ'. -/
 @[simp]
 theorem smul_algebraMap {α : Type _} [Monoid α] [MulDistribMulAction α A] [SMulCommClass α R A]
@@ -663,7 +663,7 @@ protected def linearMap : R →ₗ[R] A :=
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) => R -> A) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
 but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => A) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => A) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
 Case conversion may be inaccurate. Consider using '#align algebra.linear_map_apply Algebra.linearMap_applyₓ'. -/
 @[simp]
 theorem linearMap_apply (r : R) : Algebra.linearMap R A r = algebraMap R A r :=
@@ -674,7 +674,7 @@ theorem linearMap_apply (r : R) : Algebra.linearMap R A r = algebraMap R A r :=
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (R -> A) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) => R -> A) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4))
 but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (forall (ᾰ : R), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => A) ᾰ) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4))
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (forall (ᾰ : R), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => A) ᾰ) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4))
 Case conversion may be inaccurate. Consider using '#align algebra.coe_linear_map Algebra.coe_linearMapₓ'. -/
 theorem coe_linearMap : ⇑(Algebra.linearMap R A) = algebraMap R A :=
   rfl
@@ -701,7 +701,7 @@ theorem map_eq_id : algebraMap R R = RingHom.id _ :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (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))) (algebraMap.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1)) x) x
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (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)))))) (algebraMap.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1)) x) x
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (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)))))) (algebraMap.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1)) x) x
 Case conversion may be inaccurate. Consider using '#align algebra.id.map_eq_self Algebra.id.map_eq_selfₓ'. -/
 theorem map_eq_self (x : R) : algebraMap R R x = x :=
   rfl
@@ -739,7 +739,7 @@ instance PUnit.algebra : Algebra R PUnit
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (r : R), Eq.{succ u2} PUnit.{succ u2} (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R PUnit.{succ u2} (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} PUnit.{succ u2} (Ring.toSemiring.{u2} PUnit.{succ u2} (CommRing.toRing.{u2} PUnit.{succ u2} PUnit.commRing.{u2})))) (fun (_x : RingHom.{u1, u2} R PUnit.{succ u2} (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} PUnit.{succ u2} (Ring.toSemiring.{u2} PUnit.{succ u2} (CommRing.toRing.{u2} PUnit.{succ u2} PUnit.commRing.{u2})))) => R -> PUnit.{succ u2}) (RingHom.hasCoeToFun.{u1, u2} R PUnit.{succ u2} (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} PUnit.{succ u2} (Ring.toSemiring.{u2} PUnit.{succ u2} (CommRing.toRing.{u2} PUnit.{succ u2} PUnit.commRing.{u2})))) (algebraMap.{u1, u2} R PUnit.{succ u2} _inst_1 (Ring.toSemiring.{u2} PUnit.{succ u2} (CommRing.toRing.{u2} PUnit.{succ u2} PUnit.commRing.{u2})) (PUnit.algebra.{u1, u2} R _inst_1)) r) PUnit.unit.{succ u2}
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => PUnit.{succ u1}) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => PUnit.{succ u1}) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} PUnit.{succ u1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))) (RingHom.instRingHomClassRingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))))))) (algebraMap.{u2, u1} R PUnit.{succ u1} _inst_1 (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})) (PUnit.algebra.{u2, u1} R _inst_1)) r) PUnit.unit.{succ u1}
+  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => PUnit.{succ u1}) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => PUnit.{succ u1}) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} PUnit.{succ u1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))) (RingHom.instRingHomClassRingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))))))) (algebraMap.{u2, u1} R PUnit.{succ u1} _inst_1 (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})) (PUnit.algebra.{u2, u1} R _inst_1)) r) PUnit.unit.{succ u1}
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_punit Algebra.algebraMap_pUnitₓ'. -/
 @[simp]
 theorem algebraMap_pUnit (r : R) : algebraMap R PUnit r = PUnit.unit :=
@@ -765,7 +765,7 @@ instance ULift.algebra : Algebra R (ULift A) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ (max u2 u3)} (ULift.{u3, u2} A) (coeFn.{max (succ u1) (succ (max u2 u3)), max (succ u1) (succ (max u2 u3))} (RingHom.{u1, max u2 u3} R (ULift.{u3, u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (ULift.{u3, u2} A) (ULift.semiring.{u2, u3} A _inst_3))) (fun (_x : RingHom.{u1, max u2 u3} R (ULift.{u3, u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (ULift.{u3, u2} A) (ULift.semiring.{u2, u3} A _inst_3))) => R -> (ULift.{u3, u2} A)) (RingHom.hasCoeToFun.{u1, max u2 u3} R (ULift.{u3, u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (ULift.{u3, u2} A) (ULift.semiring.{u2, u3} A _inst_3))) (algebraMap.{u1, max u2 u3} R (ULift.{u3, u2} A) _inst_1 (ULift.semiring.{u2, u3} A _inst_3) (ULift.algebra.{u1, u2, u3} R A _inst_1 _inst_3 _inst_4)) r) (ULift.up.{u3, u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u2, u3} R A _inst_1 _inst_3] (r : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => ULift.{u1, u3} A) r) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u2, max (succ u3) (succ u1)} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => ULift.{u1, u3} A) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)) (RingHom.instRingHomClassRingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))))) (algebraMap.{u2, max u3 u1} R (ULift.{u1, u3} A) _inst_1 (ULift.semiring.{u3, u1} A _inst_3) (ULift.algebra.{u2, u3, u1} R A _inst_1 _inst_3 _inst_4)) r) (ULift.up.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r))
+  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u2, u3} R A _inst_1 _inst_3] (r : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => ULift.{u1, u3} A) r) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u2, max (succ u3) (succ u1)} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => ULift.{u1, u3} A) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)) (RingHom.instRingHomClassRingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))))) (algebraMap.{u2, max u3 u1} R (ULift.{u1, u3} A) _inst_1 (ULift.semiring.{u3, u1} A _inst_3) (ULift.algebra.{u2, u3, u1} R A _inst_1 _inst_3 _inst_4)) r) (ULift.up.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r))
 Case conversion may be inaccurate. Consider using '#align ulift.algebra_map_eq ULift.algebraMap_eqₓ'. -/
 theorem ULift.algebraMap_eq (r : R) : algebraMap R (ULift A) r = ULift.up (algebraMap R A r) :=
   rfl
@@ -775,7 +775,7 @@ theorem ULift.algebraMap_eq (r : R) : algebraMap R (ULift A) r = ULift.up (algeb
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} A (ULift.down.{u3, u2} A (coeFn.{max (succ u1) (succ (max u2 u3)), max (succ u1) (succ (max u2 u3))} (RingHom.{u1, max u2 u3} R (ULift.{u3, u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (ULift.{u3, u2} A) (ULift.semiring.{u2, u3} A _inst_3))) (fun (_x : RingHom.{u1, max u2 u3} R (ULift.{u3, u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (ULift.{u3, u2} A) (ULift.semiring.{u2, u3} A _inst_3))) => R -> (ULift.{u3, u2} A)) (RingHom.hasCoeToFun.{u1, max u2 u3} R (ULift.{u3, u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (ULift.{u3, u2} A) (ULift.semiring.{u2, u3} A _inst_3))) (algebraMap.{u1, max u2 u3} R (ULift.{u3, u2} A) _inst_1 (ULift.semiring.{u2, u3} A _inst_3) (ULift.algebra.{u1, u2, u3} R A _inst_1 _inst_3 _inst_4)) r)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u2, u3} R A _inst_1 _inst_3] (r : R), Eq.{succ u3} A (ULift.down.{u1, u3} A (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u2, max (succ u3) (succ u1)} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => ULift.{u1, u3} A) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)) (RingHom.instRingHomClassRingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))))) (algebraMap.{u2, max u3 u1} R (ULift.{u1, u3} A) _inst_1 (ULift.semiring.{u3, u1} A _inst_3) (ULift.algebra.{u2, u3, u1} R A _inst_1 _inst_3 _inst_4)) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r)
+  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u2, u3} R A _inst_1 _inst_3] (r : R), Eq.{succ u3} A (ULift.down.{u1, u3} A (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u2, max (succ u3) (succ u1)} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => ULift.{u1, u3} A) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)) (RingHom.instRingHomClassRingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))))) (algebraMap.{u2, max u3 u1} R (ULift.{u1, u3} A) _inst_1 (ULift.semiring.{u3, u1} A _inst_3) (ULift.algebra.{u2, u3, u1} R A _inst_1 _inst_3 _inst_4)) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r)
 Case conversion may be inaccurate. Consider using '#align ulift.down_algebra_map ULift.down_algebraMapₓ'. -/
 @[simp]
 theorem ULift.down_algebraMap (r : R) : (algebraMap R (ULift A) r).down = algebraMap R A r :=
@@ -813,7 +813,7 @@ theorem algebraMap_ofSubsemiring (S : Subsemiring R) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (S : Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))), Eq.{succ u1} ((fun (_x : RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) -> R) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) -> R) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.Mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.hasMem.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S))
 but is expected to have type
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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) a) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))))) (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} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun 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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S))
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (S : Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))), Eq.{succ u1} (forall (a : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) a) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))))) (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} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S))
 Case conversion may be inaccurate. Consider using '#align algebra.coe_algebra_map_of_subsemiring Algebra.coe_algebraMap_ofSubsemiringₓ'. -/
 theorem coe_algebraMap_ofSubsemiring (S : Subsemiring R) : (algebraMap S R : S → R) = Subtype.val :=
   rfl
@@ -823,7 +823,7 @@ theorem coe_algebraMap_ofSubsemiring (S : Subsemiring R) : (algebraMap S R : S 
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (S : Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (x : coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) -> R) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S)) x) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (coeSubtype.{succ u1} R (fun (x : R) => Membership.Mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.hasMem.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S))))) x)
 but is expected to have type
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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) x) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R 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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R 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(CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun 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S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S)) x) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Set.{u1} R) (Set.instMembershipSet.{u1} R) x (SetLike.coe.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) S)) x)
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (S : Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) x) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))))) (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} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S)) x) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Set.{u1} R) (Set.instMembershipSet.{u1} R) x (SetLike.coe.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) S)) x)
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_of_subsemiring_apply Algebra.algebraMap_ofSubsemiring_applyₓ'. -/
 theorem algebraMap_ofSubsemiring_apply (S : Subsemiring R) (x : S) : algebraMap S R x = x :=
   rfl
@@ -856,7 +856,7 @@ theorem algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)), Eq.{succ u1} ((fun (_x : RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) => (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) -> R) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (fun (_x : RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) => (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) -> R) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.Mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.hasMem.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S))
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)), Eq.{succ u1} (forall (a : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) a) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) 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=> Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S))
+  forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)), Eq.{succ u1} (forall (a : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) a) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) 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=> Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} 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(CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ 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_inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S))
 Case conversion may be inaccurate. Consider using '#align algebra.coe_algebra_map_of_subring Algebra.coe_algebraMap_ofSubringₓ'. -/
 theorem coe_algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
     (algebraMap S R : S → R) = Subtype.val :=
@@ -867,7 +867,7 @@ theorem coe_algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (x : coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} 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R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) => (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) -> R) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S)) x) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (coeSubtype.{succ u1} R (fun (x : R) => Membership.Mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.hasMem.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S))))) x)
 but is expected to have type
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(Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ 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_inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S)) x) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Set.{u1} R) (Set.instMembershipSet.{u1} R) x (SetLike.coe.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S)) x)
+  forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) x) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S)) x) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Set.{u1} R) (Set.instMembershipSet.{u1} R) x (SetLike.coe.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S)) x)
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_of_subring_apply Algebra.algebraMap_ofSubring_applyₓ'. -/
 theorem algebraMap_ofSubring_apply {R : Type _} [CommRing R] (S : Subring R) (x : S) :
     algebraMap S R x = x :=
@@ -886,7 +886,7 @@ def algebraMapSubmonoid (S : Type _) [Semiring S] [Algebra R S] (M : Submonoid R
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u2}} [_inst_7 : Semiring.{u2} S] [_inst_8 : Algebra.{u1, u2} R S _inst_1 _inst_7] {M : Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))} (x : coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) M), Membership.Mem.{u2, u2} S (Submonoid.{u2} S (MulZeroOneClass.toMulOneClass.{u2} S (NonAssocSemiring.toMulZeroOneClass.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_7)))) (SetLike.hasMem.{u2, u2} (Submonoid.{u2} S (MulZeroOneClass.toMulOneClass.{u2} S (NonAssocSemiring.toMulZeroOneClass.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_7)))) S (Submonoid.setLike.{u2} S (MulZeroOneClass.toMulOneClass.{u2} S (NonAssocSemiring.toMulZeroOneClass.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_7))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_7)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_7)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_7)) (algebraMap.{u1, u2} R S _inst_1 _inst_7 _inst_8) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) M) R (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) M) R (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) M) R (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) M) R (coeSubtype.{succ u1} R (fun (x : R) => Membership.Mem.{u1, u1} R (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) x M))))) x)) (Algebra.algebraMapSubmonoid.{u1, u2} R _inst_1 S _inst_7 _inst_8 M)
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] {S : Type.{u1}} [_inst_7 : Semiring.{u1} S] [_inst_8 : Algebra.{u2, u1} R S _inst_1 _inst_7] {M : Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))} (x : Subtype.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) x M)), Membership.mem.{u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) (Subtype.val.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Set.{u2} R) (Set.instMembershipSet.{u2} R) x (SetLike.coe.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) M)) x)) (Submonoid.{u1} S (MulZeroOneClass.toMulOneClass.{u1} S (NonAssocSemiring.toMulZeroOneClass.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7)))) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} S (MulZeroOneClass.toMulOneClass.{u1} S (NonAssocSemiring.toMulZeroOneClass.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7)))) S (Submonoid.instSetLikeSubmonoid.{u1} S (MulZeroOneClass.toMulOneClass.{u1} S (NonAssocSemiring.toMulZeroOneClass.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7))))) (algebraMap.{u2, u1} R S _inst_1 _inst_7 _inst_8) (Subtype.val.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Set.{u2} R) (Set.instMembershipSet.{u2} R) x (SetLike.coe.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) M)) x)) (Algebra.algebraMapSubmonoid.{u2, u1} R _inst_1 S _inst_7 _inst_8 M)
+  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] {S : Type.{u1}} [_inst_7 : Semiring.{u1} S] [_inst_8 : Algebra.{u2, u1} R S _inst_1 _inst_7] {M : Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))} (x : Subtype.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) x M)), Membership.mem.{u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) (Subtype.val.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Set.{u2} R) (Set.instMembershipSet.{u2} R) x (SetLike.coe.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) M)) x)) (Submonoid.{u1} S (MulZeroOneClass.toMulOneClass.{u1} S (NonAssocSemiring.toMulZeroOneClass.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7)))) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} S (MulZeroOneClass.toMulOneClass.{u1} S (NonAssocSemiring.toMulZeroOneClass.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7)))) S (Submonoid.instSetLikeSubmonoid.{u1} S (MulZeroOneClass.toMulOneClass.{u1} S (NonAssocSemiring.toMulZeroOneClass.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7))))) (algebraMap.{u2, u1} R S _inst_1 _inst_7 _inst_8) (Subtype.val.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Set.{u2} R) (Set.instMembershipSet.{u2} R) x (SetLike.coe.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) M)) x)) (Algebra.algebraMapSubmonoid.{u2, u1} R _inst_1 S _inst_7 _inst_8 M)
 Case conversion may be inaccurate. Consider using '#align algebra.mem_algebra_map_submonoid_of_mem Algebra.mem_algebraMapSubmonoid_of_memₓ'. -/
 theorem mem_algebraMapSubmonoid_of_mem {S : Type _} [Semiring S] [Algebra R S] {M : Submonoid R}
     (x : M) : algebraMap R S x ∈ algebraMapSubmonoid S M :=
@@ -903,7 +903,7 @@ variable [CommSemiring R]
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2))) x (HSub.hSub.{u2, u2, u2} A A A (instHSub.{u2} A (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddGroupWithOne.toAddGroup.{u2} A (NonAssocRing.toAddGroupWithOne.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2))) (HSub.hSub.{u2, u2, u2} A A A (instHSub.{u2} A (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddGroupWithOne.toAddGroup.{u2} A (NonAssocRing.toAddGroupWithOne.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) x)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) x (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) x)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) x (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) x)
 Case conversion may be inaccurate. Consider using '#align algebra.mul_sub_algebra_map_commutes Algebra.mul_sub_algebraMap_commutesₓ'. -/
 theorem mul_sub_algebraMap_commutes [Ring A] [Algebra R A] (x : A) (r : R) :
     x * (x - algebraMap R A r) = (x - algebraMap R A r) * x := by rw [mul_sub, ← commutes, sub_mul]
@@ -913,7 +913,7 @@ theorem mul_sub_algebraMap_commutes [Ring A] [Algebra R A] (x : A) (r : R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R) (n : Nat), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2))) x (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (Ring.toMonoid.{u2} A _inst_2))) (HSub.hSub.{u2, u2, u2} A A A (instHSub.{u2} A (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddGroupWithOne.toAddGroup.{u2} A (NonAssocRing.toAddGroupWithOne.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2))) (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (Ring.toMonoid.{u2} A _inst_2))) (HSub.hSub.{u2, u2, u2} A A A (instHSub.{u2} A (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddGroupWithOne.toAddGroup.{u2} A (NonAssocRing.toAddGroupWithOne.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n) x)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R) (n : Nat), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) x (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2))))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2))))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n) x)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R) (n : Nat), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) x (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2))))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2))))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n) x)
 Case conversion may be inaccurate. Consider using '#align algebra.mul_sub_algebra_map_pow_commutes Algebra.mul_sub_algebraMap_pow_commutesₓ'. -/
 theorem mul_sub_algebraMap_pow_commutes [Ring A] [Algebra R A] (x : A) (r : R) (n : ℕ) :
     x * (x - algebraMap R A r) ^ n = (x - algebraMap R A r) ^ n * x :=
@@ -964,7 +964,7 @@ instance : Algebra R Aᵐᵒᵖ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (c : R), Eq.{succ u2} (MulOpposite.{u2} A) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) => R -> (MulOpposite.{u2} A)) (RingHom.hasCoeToFun.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R (MulOpposite.{u2} A) _inst_1 (MulOpposite.semiring.{u2} A _inst_2) (MulOpposite.algebra.{u1, u2} R A _inst_1 _inst_2 _inst_3)) c) (MulOpposite.op.{u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) c))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (c : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => MulOpposite.{u2} A) c) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => MulOpposite.{u2} A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (MulOpposite.{u2} A) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (MulOpposite.{u2} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (MulOpposite.{u2} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R (MulOpposite.{u2} A) _inst_1 (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2) (MulOpposite.instAlgebraMulOppositeInstSemiringMulOpposite.{u1, u2} R A _inst_1 _inst_2 _inst_3)) c) (MulOpposite.op.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) c) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) c))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (c : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MulOpposite.{u2} A) c) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => MulOpposite.{u2} A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (MulOpposite.{u2} A) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (MulOpposite.{u2} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (MulOpposite.{u2} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R (MulOpposite.{u2} A) _inst_1 (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2) (MulOpposite.instAlgebraMulOppositeInstSemiringMulOpposite.{u1, u2} R A _inst_1 _inst_2 _inst_3)) c) (MulOpposite.op.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) c) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) c))
 Case conversion may be inaccurate. Consider using '#align mul_opposite.algebra_map_apply MulOpposite.algebraMap_applyₓ'. -/
 @[simp]
 theorem algebraMap_apply (c : R) : algebraMap R Aᵐᵒᵖ c = op (algebraMap R A c) :=
@@ -984,7 +984,7 @@ instance : Algebra R (Module.End R M) :=
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R), Eq.{succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) (SMul.smul.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (LinearMap.hasSmul.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) a (LinearMap.id.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))
 but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) (HSMul.hSMul.{u1, u2, u2} R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (instHSMul.{u1, u2} R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearMap.instSMulLinearMap.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) a (LinearMap.id.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))
+  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) (HSMul.hSMul.{u1, u2, u2} R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (instHSMul.{u1, u2} R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearMap.instSMulLinearMap.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) a (LinearMap.id.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))
 Case conversion may be inaccurate. Consider using '#align module.algebra_map_End_eq_smul_id Module.algebraMap_end_eq_smul_idₓ'. -/
 theorem algebraMap_end_eq_smul_id (a : R) : (algebraMap R (End R M)) a = a • LinearMap.id :=
   rfl
@@ -994,7 +994,7 @@ theorem algebraMap_end_eq_smul_id (a : R) : (algebraMap R (End R M)) a = a • L
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R) (m : M), Eq.{succ u2} M (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) m) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) a m)
 but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R) (m : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) m) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) a m)
+  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R) (m : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) m) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) a m)
 Case conversion may be inaccurate. Consider using '#align module.algebra_map_End_apply Module.algebraMap_end_applyₓ'. -/
 @[simp]
 theorem algebraMap_end_apply (a : R) (m : M) : (algebraMap R (End R M)) a m = a • m :=
@@ -1005,7 +1005,7 @@ theorem algebraMap_end_apply (a : R) (m : M) : (algebraMap R (End R M)) a m = a
 lean 3 declaration is
   forall (K : Type.{u1}) (V : Type.{u2}) [_inst_4 : Field.{u1} K] [_inst_5 : AddCommGroup.{u2} V] [_inst_6 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5)] (a : K), (Ne.{succ u1} K a (OfNat.ofNat.{u1} K 0 (OfNat.mk.{u1} K 0 (Zero.zero.{u1} K (MulZeroClass.toHasZero.{u1} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))))))))))) -> (Eq.{succ u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (LinearMap.ker.{u1, u1, u2, u2, u2} K K V V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))))) (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} K K V V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) (fun (_x : RingHom.{u1, u2} K (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) => K -> (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) (RingHom.hasCoeToFun.{u1, u2} K (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) (algebraMap.{u1, u2} K (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (Module.End.semiring.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.algebra.{u1, u2} K V (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) a)) (Bot.bot.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Submodule.hasBot.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))
 but is expected to have type
-  forall (K : Type.{u1}) (V : Type.{u2}) [_inst_4 : Field.{u1} K] [_inst_5 : AddCommGroup.{u2} V] [_inst_6 : Module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5)] (a : K), (Ne.{succ u1} K a (OfNat.ofNat.{u1} K 0 (Zero.toOfNat0.{u1} K (CommMonoidWithZero.toZero.{u1} K (CommGroupWithZero.toCommMonoidWithZero.{u1} K (Semifield.toCommGroupWithZero.{u1} K (Field.toSemifield.{u1} K _inst_4))))))) -> (Eq.{succ u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (LinearMap.ker.{u1, u1, u2, u2, u2} K K V V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : K) => Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) a) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u2} K K V V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (fun (_x : K) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : K) => Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) (RingHom.instRingHomClassRingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))))) (algebraMap.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} K V (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) a)) (Bot.bot.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Submodule.instBotSubmodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))
+  forall (K : Type.{u1}) (V : Type.{u2}) [_inst_4 : Field.{u1} K] [_inst_5 : AddCommGroup.{u2} V] [_inst_6 : Module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5)] (a : K), (Ne.{succ u1} K a (OfNat.ofNat.{u1} K 0 (Zero.toOfNat0.{u1} K (CommMonoidWithZero.toZero.{u1} K (CommGroupWithZero.toCommMonoidWithZero.{u1} K (Semifield.toCommGroupWithZero.{u1} K (Field.toSemifield.{u1} K _inst_4))))))) -> (Eq.{succ u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (LinearMap.ker.{u1, u1, u2, u2, u2} K K V V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : K) => Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) a) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u2} K K V V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (fun (_x : K) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : K) => Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) (RingHom.instRingHomClassRingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))))) (algebraMap.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} K V (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) a)) (Bot.bot.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Submodule.instBotSubmodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))
 Case conversion may be inaccurate. Consider using '#align module.ker_algebra_map_End Module.ker_algebraMap_endₓ'. -/
 @[simp]
 theorem ker_algebraMap_end (K : Type u) (V : Type v) [Field K] [AddCommGroup V] [Module K V] (a : K)
@@ -1021,7 +1021,7 @@ variable {R M}
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (x : M), Eq.{succ u2} M (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) x)) x
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (x : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) x)) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) x)) x
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (x : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) x)) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) x)) x
 Case conversion may be inaccurate. Consider using '#align module.End_is_unit_apply_inv_apply_of_is_unit Module.End_isUnit_apply_inv_apply_of_isUnitₓ'. -/
 theorem End_isUnit_apply_inv_apply_of_isUnit {f : Module.End R M} (h : IsUnit f) (x : M) :
     f (h.Unit.inv x) = x :=
@@ -1032,7 +1032,7 @@ theorem End_isUnit_apply_inv_apply_of_isUnit {f : Module.End R M} (h : IsUnit f)
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (x : M), Eq.{succ u2} M (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f x)) x
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (x : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f x)) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f x)) x
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (x : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (a : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f x)) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.inv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f h)) (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f x)) x
 Case conversion may be inaccurate. Consider using '#align module.End_is_unit_inv_apply_apply_of_is_unit Module.End_isUnit_inv_apply_apply_of_isUnitₓ'. -/
 theorem End_isUnit_inv_apply_apply_of_isUnit {f : Module.End R M} (h : IsUnit f) (x : M) :
     h.Unit.inv (f x) = x :=
@@ -1043,7 +1043,7 @@ theorem End_isUnit_inv_apply_apply_of_isUnit {f : Module.End R M} (h : IsUnit f)
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3), Iff (IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (Function.Bijective.{succ u2, succ u2} M M (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f))
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3), Iff (IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (Function.Bijective.{succ u2, succ u2} M M (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (f : Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3), Iff (IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) f) (Function.Bijective.{succ u2, succ u2} M M (FunLike.coe.{succ u2, succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f))
 Case conversion may be inaccurate. Consider using '#align module.End_is_unit_iff Module.End_isUnit_iffₓ'. -/
 theorem End_isUnit_iff (f : Module.End R M) : IsUnit f ↔ Function.Bijective f :=
   ⟨fun h =>
@@ -1059,7 +1059,7 @@ theorem End_isUnit_iff (f : Module.End R M) : IsUnit f ↔ Function.Bijective f
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M (coeFn.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (fun (x : Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) => M -> M) (coeFnTrans.{succ u2, succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeBaseAux.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Units.hasCoe.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (Inv.inv.{u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.hasInv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h)) m) m') (Eq.{succ u2} M m (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) x m'))
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInvUnits.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m) m') (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInvUnits.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m) m') (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
 Case conversion may be inaccurate. Consider using '#align module.End_algebra_map_is_unit_inv_apply_eq_iff Module.End_algebraMap_isUnit_inv_apply_eq_iffₓ'. -/
 theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
     (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) : h.Unit⁻¹ m = m' ↔ m = x • m' :=
@@ -1075,7 +1075,7 @@ theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M m' (coeFn.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (fun (x : Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) => M -> M) (coeFnTrans.{succ u2, succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeBaseAux.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Units.hasCoe.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (Inv.inv.{u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) 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(CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h)) m)) (Eq.{succ u2} M m (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) x m'))
 but is expected to have type
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: M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInvUnits.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) 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(CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} 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(RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m)) (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M m' (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInvUnits.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m)) (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
 Case conversion may be inaccurate. Consider using '#align module.End_algebra_map_is_unit_inv_apply_eq_iff' Module.End_algebraMap_isUnit_inv_apply_eq_iff'ₓ'. -/
 theorem End_algebraMap_isUnit_inv_apply_eq_iff' {x : R}
     (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) : m' = h.Unit⁻¹ m ↔ m = x • m' :=
@@ -1100,7 +1100,7 @@ variable {R : Type _} {A : Type _} {B : Type _} [CommSemiring R] [Semiring A] [S
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u3} B] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u1, u3} R B _inst_1 _inst_3] (f : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f a))
 but is expected to have type
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(NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 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(CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => B) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => B) r) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => B) r) (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => B) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => B) r) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => B) r) _inst_3)))) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => B) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3) (RingHom.instRingHomClassRingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3))))) (algebraMap.{u3, u1} R B _inst_1 _inst_3 _inst_5) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f a))
+  forall {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u1} B] [_inst_4 : Algebra.{u3, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u3, u1} R B _inst_1 _inst_3] (f : LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_2)))) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) a) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_2)))) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) _inst_3)))) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3) (RingHom.instRingHomClassRingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3))))) (algebraMap.{u3, u1} R B _inst_1 _inst_3 _inst_5) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f a))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_algebra_map_mul LinearMap.map_algebraMap_mulₓ'. -/
 /-- An alternate statement of `linear_map.map_smul` for when `algebra_map` is more convenient to
 work with than `•`. -/
@@ -1113,7 +1113,7 @@ theorem map_algebraMap_mul (f : A →ₗ[R] B) (a : A) (r : R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u3} B] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u1, u3} R B _inst_1 _inst_3] (f : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) a (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_4) r))) (HMul.hMul.{u3, u3, u3} B B B (instHMul.{u3} B (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) 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(Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f a) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (fun (_x : RingHom.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) => R -> B) (RingHom.hasCoeToFun.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (algebraMap.{u1, u3} R B _inst_1 _inst_3 _inst_5) r))
 but is expected to have type
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_inst_4) r))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) a (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) a) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) a) _inst_3)))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f a) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => B) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3) (RingHom.instRingHomClassRingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3))))) (algebraMap.{u3, u1} R B _inst_1 _inst_3 _inst_5) r))
+  forall {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u1} B] [_inst_4 : Algebra.{u3, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u3, u1} R B _inst_1 _inst_3] (f : LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) (HMul.hMul.{u2, u2, u2} A 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_inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) a (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r))) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) a) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) a) (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) a) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) a) _inst_3)))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f a) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => B) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3) (RingHom.instRingHomClassRingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3))))) (algebraMap.{u3, u1} R B _inst_1 _inst_3 _inst_5) r))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_mul_algebra_map LinearMap.map_mul_algebraMapₓ'. -/
 theorem map_mul_algebraMap (f : A →ₗ[R] B) (a : A) (r : R) :
     f (a * algebraMap R A r) = f a * algebraMap R B r := by
@@ -1126,7 +1126,7 @@ end LinearMap
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_1 : DivisionRing.{u1} A] [_inst_2 : Algebra.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A (DivisionRing.toRing.{u1} A _inst_1))] (m : Rat), Eq.{succ u1} A (SMul.smul.{0, u1} Rat A (Algebra.toHasSmul.{0, u1} Rat A Rat.commSemiring (Ring.toSemiring.{u1} A (DivisionRing.toRing.{u1} A _inst_1)) _inst_2) m (OfNat.ofNat.{u1} A 1 (OfNat.mk.{u1} A 1 (One.one.{u1} A (AddMonoidWithOne.toOne.{u1} A (AddGroupWithOne.toAddMonoidWithOne.{u1} A (NonAssocRing.toAddGroupWithOne.{u1} A (Ring.toNonAssocRing.{u1} A (DivisionRing.toRing.{u1} A _inst_1))))))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Rat A (HasLiftT.mk.{1, succ u1} Rat A (CoeTCₓ.coe.{1, succ u1} Rat A (Rat.castCoe.{u1} A (DivisionRing.toHasRatCast.{u1} A _inst_1)))) m)
 but is expected to have type
-  forall {A : Type.{u1}} [_inst_1 : DivisionRing.{u1} A] [_inst_2 : Algebra.{0, u1} Rat A Rat.commSemiring (DivisionSemiring.toSemiring.{u1} A (DivisionRing.toDivisionSemiring.{u1} A _inst_1))] (m : Rat), Eq.{succ u1} A (SMul.smul.{0, u1} Rat A (Algebra.toSMul.{0, u1} Rat A Rat.commSemiring (DivisionSemiring.toSemiring.{u1} A (DivisionRing.toDivisionSemiring.{u1} A _inst_1)) _inst_2) m (OfNat.ofNat.{u1} A 1 (One.toOfNat1.{u1} A (NonAssocRing.toOne.{u1} A (Ring.toNonAssocRing.{u1} A (DivisionRing.toRing.{u1} A _inst_1)))))) (RatCast.ratCast.{u1} A (DivisionRing.toRatCast.{u1} A _inst_1) m)
+  forall {A : Type.{u1}} [_inst_1 : DivisionRing.{u1} A] [_inst_2 : Algebra.{0, u1} Rat A Rat.commSemiring (DivisionSemiring.toSemiring.{u1} A (DivisionRing.toDivisionSemiring.{u1} A _inst_1))] (m : Rat), Eq.{succ u1} A (SMul.smul.{0, u1} Rat A (Algebra.toSMul.{0, u1} Rat A Rat.commSemiring (DivisionSemiring.toSemiring.{u1} A (DivisionRing.toDivisionSemiring.{u1} A _inst_1)) _inst_2) m (OfNat.ofNat.{u1} A 1 (One.toOfNat1.{u1} A (NonAssocRing.toOne.{u1} A (Ring.toNonAssocRing.{u1} A (DivisionRing.toRing.{u1} A _inst_1)))))) (Rat.cast.{u1} A (DivisionRing.toRatCast.{u1} A _inst_1) m)
 Case conversion may be inaccurate. Consider using '#align rat.smul_one_eq_coe Rat.smul_one_eq_coeₓ'. -/
 @[simp]
 theorem Rat.smul_one_eq_coe {A : Type _} [DivisionRing A] [Algebra ℚ A] (m : ℚ) :
@@ -1168,7 +1168,7 @@ variable {R S : Type _}
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} [_inst_1 : Ring.{u1} R] [_inst_2 : Ring.{u2} S] [_inst_3 : Algebra.{0, u1} Rat R Rat.commSemiring (Ring.toSemiring.{u1} R _inst_1)] [_inst_4 : Algebra.{0, u2} Rat S Rat.commSemiring (Ring.toSemiring.{u2} S _inst_2)] (f : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2))) (r : Rat), Eq.{succ u2} S (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2))) (fun (_x : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2))) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2))) f (coeFn.{succ u1, succ u1} (RingHom.{0, u1} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{0, u1} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) => Rat -> R) (RingHom.hasCoeToFun.{0, u1} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (algebraMap.{0, u1} Rat R Rat.commSemiring (Ring.toSemiring.{u1} R _inst_1) _inst_3) r)) (coeFn.{succ u2, succ u2} (RingHom.{0, u2} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} S (Ring.toSemiring.{u2} S _inst_2))) (fun (_x : RingHom.{0, u2} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} S (Ring.toSemiring.{u2} S _inst_2))) => Rat -> S) (RingHom.hasCoeToFun.{0, u2} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} S (Ring.toSemiring.{u2} S _inst_2))) (algebraMap.{0, u2} Rat S Rat.commSemiring (Ring.toSemiring.{u2} S _inst_2) _inst_4) r)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_3 : Algebra.{0, u2} Rat R Rat.commSemiring _inst_1] [_inst_4 : Algebra.{0, u1} Rat S Rat.commSemiring _inst_2] (f : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (r : Rat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) (FunLike.coe.{succ u2, 1, succ u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat (fun (a : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Rat) => R) a) (MulHomClass.toFunLike.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1) (RingHom.instRingHomClassRingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (algebraMap.{0, u2} Rat R Rat.commSemiring _inst_1 _inst_3) r)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) f (FunLike.coe.{succ u2, 1, succ u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat (fun (_x : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Rat) => R) _x) (MulHomClass.toFunLike.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1) (RingHom.instRingHomClassRingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (algebraMap.{0, u2} Rat R Rat.commSemiring _inst_1 _inst_3) r)) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat (fun (_x : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Rat) => S) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) (algebraMap.{0, u1} Rat S Rat.commSemiring _inst_2 _inst_4) r)
+  forall {R : Type.{u2}} {S : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_3 : Algebra.{0, u2} Rat R Rat.commSemiring _inst_1] [_inst_4 : Algebra.{0, u1} Rat S Rat.commSemiring _inst_2] (f : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (r : Rat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) (FunLike.coe.{succ u2, 1, succ u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat (fun (a : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Rat) => R) a) (MulHomClass.toFunLike.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1) (RingHom.instRingHomClassRingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (algebraMap.{0, u2} Rat R Rat.commSemiring _inst_1 _inst_3) r)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) f (FunLike.coe.{succ u2, 1, succ u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat (fun (_x : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Rat) => R) _x) (MulHomClass.toFunLike.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1) (RingHom.instRingHomClassRingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (algebraMap.{0, u2} Rat R Rat.commSemiring _inst_1 _inst_3) r)) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat (fun (_x : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : Rat) => S) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) (algebraMap.{0, u1} Rat S Rat.commSemiring _inst_2 _inst_4) r)
 Case conversion may be inaccurate. Consider using '#align ring_hom.map_rat_algebra_map RingHom.map_rat_algebraMapₓ'. -/
 -- note that `R`, `S` could be `semiring`s but this is useless mathematically speaking -
 -- a ℚ-algebra is a ring. furthermore, this change probably slows down elaboration.
@@ -1270,7 +1270,7 @@ open Algebra
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))], (Function.Injective.{succ u1, succ u2} R A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3))) -> (NoZeroSMulDivisors.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))))
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : Semiring.{u1} A] [_inst_3 : Algebra.{u2, u1} R A _inst_1 _inst_2] [_inst_4 : NoZeroDivisors.{u1} A (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_2))], (Function.Injective.{succ u2, succ u1} R A (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2))))) (algebraMap.{u2, u1} R A _inst_1 _inst_2 _inst_3))) -> (NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_2)) (Algebra.toSMul.{u2, u1} R A _inst_1 _inst_2 _inst_3))
+  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : Semiring.{u1} A] [_inst_3 : Algebra.{u2, u1} R A _inst_1 _inst_2] [_inst_4 : NoZeroDivisors.{u1} A (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_2))], (Function.Injective.{succ u2, succ u1} R A (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2))))) (algebraMap.{u2, u1} R A _inst_1 _inst_2 _inst_3))) -> (NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_2)) (Algebra.toSMul.{u2, u1} R A _inst_1 _inst_2 _inst_3))
 Case conversion may be inaccurate. Consider using '#align no_zero_smul_divisors.of_algebra_map_injective NoZeroSMulDivisors.of_algebraMap_injectiveₓ'. -/
 /-- If `algebra_map R A` is injective and `A` has no zero divisors,
 `R`-multiples in `A` are zero only if one of the factors is zero.
@@ -1290,7 +1290,7 @@ variable (R A)
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommRing.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Nontrivial.{u2} A] [_inst_4 : Algebra.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_2)] [_inst_5 : NoZeroSMulDivisors.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_2) _inst_4)))))], Function.Injective.{succ u1, succ u2} R A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_2) _inst_4))
 but is expected to have type
-  forall (R : Type.{u2}) (A : Type.{u1}) [_inst_1 : CommRing.{u2} R] [_inst_2 : Ring.{u1} A] [_inst_3 : Nontrivial.{u1} A] [_inst_4 : Algebra.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2)] [_inst_5 : NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (Algebra.toSMul.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4)], Function.Injective.{succ u2, succ u1} R A (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))))) (algebraMap.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4))
+  forall (R : Type.{u2}) (A : Type.{u1}) [_inst_1 : CommRing.{u2} R] [_inst_2 : Ring.{u1} A] [_inst_3 : Nontrivial.{u1} A] [_inst_4 : Algebra.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2)] [_inst_5 : NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (Algebra.toSMul.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4)], Function.Injective.{succ u2, succ u1} R A (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))))) (algebraMap.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4))
 Case conversion may be inaccurate. Consider using '#align no_zero_smul_divisors.algebra_map_injective NoZeroSMulDivisors.algebraMap_injectiveₓ'. -/
 theorem algebraMap_injective [CommRing R] [Ring A] [Nontrivial A] [Algebra R A]
     [NoZeroSMulDivisors R A] : Function.Injective (algebraMap R A) :=
@@ -1319,7 +1319,7 @@ variable {R A}
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : IsDomain.{u2} A (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : Algebra.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_2)], Iff (NoZeroSMulDivisors.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_2) _inst_4)))))) (Function.Injective.{succ u1, succ u2} R A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_2) _inst_4)))
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_2 : Ring.{u1} A] [_inst_3 : IsDomain.{u1} A (Ring.toSemiring.{u1} A _inst_2)] [_inst_4 : Algebra.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2)], Iff (NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (Algebra.toSMul.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4)) (Function.Injective.{succ u2, succ u1} R A (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))))) (algebraMap.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4)))
+  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_2 : Ring.{u1} A] [_inst_3 : IsDomain.{u1} A (Ring.toSemiring.{u1} A _inst_2)] [_inst_4 : Algebra.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2)], Iff (NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (Algebra.toSMul.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4)) (Function.Injective.{succ u2, succ u1} R A (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))))) (algebraMap.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4)))
 Case conversion may be inaccurate. Consider using '#align no_zero_smul_divisors.iff_algebra_map_injective NoZeroSMulDivisors.iff_algebraMap_injectiveₓ'. -/
 theorem iff_algebraMap_injective [CommRing R] [Ring A] [IsDomain A] [Algebra R A] :
     NoZeroSMulDivisors R A ↔ Function.Injective (algebraMap R A) :=
@@ -1384,7 +1384,7 @@ variable {N : Type _} [AddCommMonoid N] [Module A N] [Module R N] [IsScalarTower
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (A : Type.{u2}) [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6)))) r m) (SMul.smul.{u2, u3} A M (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) r) m)
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (A : Type.{u1}) [_inst_2 : Semiring.{u1} A] [_inst_3 : Algebra.{u2, u1} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u1, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u2, u1, u3} R A M (Algebra.toSMul.{u2, u1} R A _inst_1 _inst_2 _inst_3) (SMulZeroClass.toSMul.{u1, u3} A M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} A M (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} A M (Semiring.toMonoidWithZero.{u1} A _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toSMul.{u2, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (HSMul.hSMul.{u2, u3, u3} R M M (instHSMul.{u2, u3} R M (SMulZeroClass.toSMul.{u2, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_6))))) r m) (HSMul.hSMul.{u1, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M M (instHSMul.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M (SMulZeroClass.toSMul.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M _inst_2 _inst_4 _inst_5))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2))))) (algebraMap.{u2, u1} R A _inst_1 _inst_2 _inst_3) r) m)
+  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (A : Type.{u1}) [_inst_2 : Semiring.{u1} A] [_inst_3 : Algebra.{u2, u1} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u1, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u2, u1, u3} R A M (Algebra.toSMul.{u2, u1} R A _inst_1 _inst_2 _inst_3) (SMulZeroClass.toSMul.{u1, u3} A M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} A M (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} A M (Semiring.toMonoidWithZero.{u1} A _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toSMul.{u2, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (HSMul.hSMul.{u2, u3, u3} R M M (instHSMul.{u2, u3} R M (SMulZeroClass.toSMul.{u2, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_6))))) r m) (HSMul.hSMul.{u1, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M M (instHSMul.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M (SMulZeroClass.toSMul.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M _inst_2 _inst_4 _inst_5))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2))))) (algebraMap.{u2, u1} R A _inst_1 _inst_2 _inst_3) r) m)
 Case conversion may be inaccurate. Consider using '#align algebra_compatible_smul algebra_compatible_smulₓ'. -/
 theorem algebra_compatible_smul (r : R) (m : M) : r • m = (algebraMap R A) r • m := by
   rw [← one_smul A m, ← smul_assoc, Algebra.smul_def, mul_one, one_smul]
@@ -1394,7 +1394,7 @@ theorem algebra_compatible_smul (r : R) (m : M) : r • m = (algebraMap R A) r 
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (A : Type.{u2}) [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (SMul.smul.{u2, u3} A M (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) r) m) (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6)))) r m)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (A : Type.{u2}) [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_2 _inst_3) (SMulZeroClass.toSMul.{u2, u3} A M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (HSMul.hSMul.{u2, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M M (instHSMul.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M (SMulZeroClass.toSMul.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M (MonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (Semiring.toMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M (Semiring.toMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M _inst_2 _inst_4 _inst_5))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) r) m) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))) r m)
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (A : Type.{u2}) [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_2 _inst_3) (SMulZeroClass.toSMul.{u2, u3} A M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (HSMul.hSMul.{u2, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M M (instHSMul.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M (SMulZeroClass.toSMul.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M (MonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Semiring.toMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M (Semiring.toMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) M _inst_2 _inst_4 _inst_5))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) r) m) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))) r m)
 Case conversion may be inaccurate. Consider using '#align algebra_map_smul algebraMap_smulₓ'. -/
 @[simp]
 theorem algebraMap_smul (r : R) (m : M) : (algebraMap R A) r • m = r • m :=
@@ -1476,7 +1476,7 @@ warning: linear_map.coe_restrict_scalars_eq_coe -> LinearMap.coe_restrictScalars
 lean 3 declaration is
   forall (R : Type.{u1}) [_inst_1 : CommSemiring.{u1} R] {A : Type.{u2}} [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] {N : Type.{u4}} [_inst_8 : AddCommMonoid.{u4} N] [_inst_9 : Module.{u2, u4} A N _inst_2 _inst_8] [_inst_10 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8] [_inst_11 : IsScalarTower.{u1, u2, u4} R A N (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u4} A N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u2, u4} A N (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u2, u4} A N (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u2, u4} A N _inst_2 _inst_8 _inst_9)))) (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8 _inst_10))))] (f : LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9), Eq.{max (succ u3) (succ u4)} ((fun (_x : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) => M -> N) (LinearMap.restrictScalars.{u1, u2, u3, u4} R A M N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_4 _inst_8 _inst_6 _inst_10 _inst_5 _inst_9 (LinearMap.IsScalarTower.compatibleSMul.{u3, u4, u1, u2} M N _inst_4 _inst_8 R A _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6)))) _inst_5 _inst_7 (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8 _inst_10)))) _inst_9 _inst_11) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_8 _inst_6 _inst_10 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.restrictScalars.{u1, u2, u3, u4} R A M N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_4 _inst_8 _inst_6 _inst_10 _inst_5 _inst_9 (LinearMap.IsScalarTower.compatibleSMul.{u3, u4, u1, u2} M N _inst_4 _inst_8 R A _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6)))) _inst_5 _inst_7 (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8 _inst_10)))) _inst_9 _inst_11) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (fun (_x : LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) => M -> N) (LinearMap.hasCoeToFun.{u2, u2, u3, u4} A A M N _inst_2 _inst_2 _inst_4 _inst_8 _inst_5 _inst_9 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) f)
 but is expected to have type
-  forall (R : Type.{u1}) {_inst_1 : Type.{u4}} {A : Type.{u3}} {_inst_2 : Type.{u2}} [_inst_3 : Semiring.{u1} R] [M : Semiring.{u4} _inst_1] [_inst_4 : AddCommMonoid.{u3} A] [_inst_5 : AddCommMonoid.{u2} _inst_2] [_inst_6 : Module.{u1, u3} R A _inst_3 _inst_4] [_inst_7 : Module.{u1, u2} R _inst_2 _inst_3 _inst_5] [N : Module.{u4, u3} _inst_1 A M _inst_4] [_inst_8 : Module.{u4, u2} _inst_1 _inst_2 M _inst_5] [_inst_9 : LinearMap.CompatibleSMul.{u3, u2, u1, u4} A _inst_2 _inst_4 _inst_5 R _inst_1 M (SMulZeroClass.toSMul.{u1, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (Module.toMulActionWithZero.{u1, u3} R A _inst_3 _inst_4 _inst_6)))) N (SMulZeroClass.toSMul.{u1, u2} R _inst_2 (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R _inst_2 (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R _inst_2 (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (Module.toMulActionWithZero.{u1, u2} R _inst_2 _inst_3 _inst_5 _inst_7)))) _inst_8] (_inst_10 : LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8), Eq.{max (succ u3) (succ u2)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => _inst_2) a) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3)) A _inst_2 _inst_4 _inst_5 _inst_6 _inst_7) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R A _inst_2 _inst_3 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3))) (LinearMap.restrictScalars.{u1, u4, u3, u2} R _inst_1 A _inst_2 _inst_3 M _inst_4 _inst_5 _inst_6 _inst_7 N _inst_8 _inst_9 _inst_10)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 A _inst_2 M M _inst_4 _inst_5 N _inst_8 (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M))) _inst_10)
+  forall (R : Type.{u1}) {_inst_1 : Type.{u4}} {A : Type.{u3}} {_inst_2 : Type.{u2}} [_inst_3 : Semiring.{u1} R] [M : Semiring.{u4} _inst_1] [_inst_4 : AddCommMonoid.{u3} A] [_inst_5 : AddCommMonoid.{u2} _inst_2] [_inst_6 : Module.{u1, u3} R A _inst_3 _inst_4] [_inst_7 : Module.{u1, u2} R _inst_2 _inst_3 _inst_5] [N : Module.{u4, u3} _inst_1 A M _inst_4] [_inst_8 : Module.{u4, u2} _inst_1 _inst_2 M _inst_5] [_inst_9 : LinearMap.CompatibleSMul.{u3, u2, u1, u4} A _inst_2 _inst_4 _inst_5 R _inst_1 M (SMulZeroClass.toSMul.{u1, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (Module.toMulActionWithZero.{u1, u3} R A _inst_3 _inst_4 _inst_6)))) N (SMulZeroClass.toSMul.{u1, u2} R _inst_2 (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R _inst_2 (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R _inst_2 (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (Module.toMulActionWithZero.{u1, u2} R _inst_2 _inst_3 _inst_5 _inst_7)))) _inst_8] (_inst_10 : LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8), Eq.{max (succ u3) (succ u2)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => _inst_2) a) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3)) A _inst_2 _inst_4 _inst_5 _inst_6 _inst_7) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R A _inst_2 _inst_3 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3))) (LinearMap.restrictScalars.{u1, u4, u3, u2} R _inst_1 A _inst_2 _inst_3 M _inst_4 _inst_5 _inst_6 _inst_7 N _inst_8 _inst_9 _inst_10)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 A _inst_2 M M _inst_4 _inst_5 N _inst_8 (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M))) _inst_10)
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_restrict_scalars_eq_coe LinearMap.coe_restrictScalarsₓ'. -/
 @[simp, norm_cast squash]
 theorem coe_restrictScalars (f : M →ₗ[A] N) : (f.restrictScalars R : M → N) = f :=
@@ -1488,7 +1488,7 @@ warning: linear_map.coe_coe_is_scalar_tower -> LinearMap.coe_restrictScalars is
 lean 3 declaration is
   forall (R : Type.{u1}) [_inst_1 : CommSemiring.{u1} R] {A : Type.{u2}} [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] {N : Type.{u4}} [_inst_8 : AddCommMonoid.{u4} N] [_inst_9 : Module.{u2, u4} A N _inst_2 _inst_8] [_inst_10 : Module.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8] [_inst_11 : IsScalarTower.{u1, u2, u4} R A N (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u4} A N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u2, u4} A N (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u2, u4} A N (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u2, u4} A N _inst_2 _inst_8 _inst_9)))) (SMulZeroClass.toHasSmul.{u1, u4} R N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (SMulWithZero.toSmulZeroClass.{u1, u4} R N (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (MulActionWithZero.toSMulWithZero.{u1, u4} R N (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_8))) (Module.toMulActionWithZero.{u1, u4} R N (CommSemiring.toSemiring.{u1} R _inst_1) _inst_8 _inst_10))))] (f : LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9), Eq.{max (succ u3) (succ u4)} ((fun (_x : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) => M -> N) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (LinearMap.coeIsScalarTower.{u1, u2, u3, u4} R _inst_1 A _inst_2 _inst_3 M _inst_4 _inst_5 _inst_6 _inst_7 N _inst_8 _inst_9 _inst_10 _inst_11)))) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (fun (_x : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) => M -> N) (LinearMap.hasCoeToFun.{u1, u1, u3, u4} R R M N (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_8 _inst_6 _inst_10 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M N _inst_4 _inst_8 _inst_6 _inst_10) (LinearMap.coeIsScalarTower.{u1, u2, u3, u4} R _inst_1 A _inst_2 _inst_3 M _inst_4 _inst_5 _inst_6 _inst_7 N _inst_8 _inst_9 _inst_10 _inst_11)))) f)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) (fun (_x : LinearMap.{u2, u2, u3, u4} A A _inst_2 _inst_2 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) M N _inst_4 _inst_8 _inst_5 _inst_9) => M -> N) (LinearMap.hasCoeToFun.{u2, u2, u3, u4} A A M N _inst_2 _inst_2 _inst_4 _inst_8 _inst_5 _inst_9 (RingHom.id.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) f)
 but is expected to have type
-  forall (R : Type.{u1}) {_inst_1 : Type.{u4}} {A : Type.{u3}} {_inst_2 : Type.{u2}} [_inst_3 : Semiring.{u1} R] [M : Semiring.{u4} _inst_1] [_inst_4 : AddCommMonoid.{u3} A] [_inst_5 : AddCommMonoid.{u2} _inst_2] [_inst_6 : Module.{u1, u3} R A _inst_3 _inst_4] [_inst_7 : Module.{u1, u2} R _inst_2 _inst_3 _inst_5] [N : Module.{u4, u3} _inst_1 A M _inst_4] [_inst_8 : Module.{u4, u2} _inst_1 _inst_2 M _inst_5] [_inst_9 : LinearMap.CompatibleSMul.{u3, u2, u1, u4} A _inst_2 _inst_4 _inst_5 R _inst_1 M (SMulZeroClass.toSMul.{u1, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (Module.toMulActionWithZero.{u1, u3} R A _inst_3 _inst_4 _inst_6)))) N (SMulZeroClass.toSMul.{u1, u2} R _inst_2 (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R _inst_2 (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R _inst_2 (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (Module.toMulActionWithZero.{u1, u2} R _inst_2 _inst_3 _inst_5 _inst_7)))) _inst_8] (_inst_10 : LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8), Eq.{max (succ u3) (succ u2)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => _inst_2) a) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3)) A _inst_2 _inst_4 _inst_5 _inst_6 _inst_7) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R A _inst_2 _inst_3 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3))) (LinearMap.restrictScalars.{u1, u4, u3, u2} R _inst_1 A _inst_2 _inst_3 M _inst_4 _inst_5 _inst_6 _inst_7 N _inst_8 _inst_9 _inst_10)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 A _inst_2 M M _inst_4 _inst_5 N _inst_8 (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M))) _inst_10)
+  forall (R : Type.{u1}) {_inst_1 : Type.{u4}} {A : Type.{u3}} {_inst_2 : Type.{u2}} [_inst_3 : Semiring.{u1} R] [M : Semiring.{u4} _inst_1] [_inst_4 : AddCommMonoid.{u3} A] [_inst_5 : AddCommMonoid.{u2} _inst_2] [_inst_6 : Module.{u1, u3} R A _inst_3 _inst_4] [_inst_7 : Module.{u1, u2} R _inst_2 _inst_3 _inst_5] [N : Module.{u4, u3} _inst_1 A M _inst_4] [_inst_8 : Module.{u4, u2} _inst_1 _inst_2 M _inst_5] [_inst_9 : LinearMap.CompatibleSMul.{u3, u2, u1, u4} A _inst_2 _inst_4 _inst_5 R _inst_1 M (SMulZeroClass.toSMul.{u1, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R A (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A _inst_4)) (Module.toMulActionWithZero.{u1, u3} R A _inst_3 _inst_4 _inst_6)))) N (SMulZeroClass.toSMul.{u1, u2} R _inst_2 (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R _inst_2 (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_3)) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R _inst_2 (Semiring.toMonoidWithZero.{u1} R _inst_3) (AddMonoid.toZero.{u2} _inst_2 (AddCommMonoid.toAddMonoid.{u2} _inst_2 _inst_5)) (Module.toMulActionWithZero.{u1, u2} R _inst_2 _inst_3 _inst_5 _inst_7)))) _inst_8] (_inst_10 : LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8), Eq.{max (succ u3) (succ u2)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => _inst_2) a) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u1, u1, u3, u2} R R _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3)) A _inst_2 _inst_4 _inst_5 _inst_6 _inst_7) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u3, u2} R R A _inst_2 _inst_3 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_3))) (LinearMap.restrictScalars.{u1, u4, u3, u2} R _inst_1 A _inst_2 _inst_3 M _inst_4 _inst_5 _inst_6 _inst_7 N _inst_8 _inst_9 _inst_10)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 M M (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M)) A _inst_2 _inst_4 _inst_5 N _inst_8) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => _inst_2) a) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} _inst_1 _inst_1 A _inst_2 M M _inst_4 _inst_5 N _inst_8 (RingHom.id.{u4} _inst_1 (Semiring.toNonAssocSemiring.{u4} _inst_1 M))) _inst_10)
 Case conversion may be inaccurate. Consider using '#align linear_map.coe_coe_is_scalar_tower LinearMap.coe_restrictScalarsₓ'. -/
 @[simp, norm_cast squash]
 theorem coe_restrictScalars (f : M →ₗ[A] N) : ((f : M →ₗ[R] N) : M → N) = f :=
@@ -1499,7 +1499,7 @@ theorem coe_restrictScalars (f : M →ₗ[A] N) : ((f : M →ₗ[R] N) : M → N
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommRing.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))], LinearMap.{u3, u3, max u2 u3, max u2 u3} A A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15)))))) (LinearMap.module.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (Semiring.toModule.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))) (LinearMap.ltoFun._proof_1.{u1, u3} R A _inst_12 _inst_15 _inst_16)) (Pi.Function.module.{u2, u3, u3} M A A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) (Semiring.toModule.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))))
 but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommSemiring.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15)], LinearMap.{u3, u3, max u3 u2, max u2 u3} A A (CommSemiring.toSemiring.{u3} A _inst_15) (CommSemiring.toSemiring.{u3} A _inst_15) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (CommSemiring.toSemiring.{u3} A _inst_15) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (IsScalarTower.to_smulCommClass.{u1, u3, u3} R _inst_12 A (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (IsScalarTower.right.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16))) (Pi.module.{u2, u3, u3} M (fun (a._@.Mathlib.Algebra.Algebra.Basic._hyg.6547 : M) => A) A (CommSemiring.toSemiring.{u3} A _inst_15) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (fun (i : M) => Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))
+  forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommSemiring.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15)], LinearMap.{u3, u3, max u3 u2, max u2 u3} A A (CommSemiring.toSemiring.{u3} A _inst_15) (CommSemiring.toSemiring.{u3} A _inst_15) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (CommSemiring.toSemiring.{u3} A _inst_15) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (IsScalarTower.to_smulCommClass.{u1, u3, u3} R _inst_12 A (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (IsScalarTower.right.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16))) (Pi.module.{u2, u3, u3} M (fun (a._@.Mathlib.Algebra.Algebra.Basic._hyg.6632 : M) => A) A (CommSemiring.toSemiring.{u3} A _inst_15) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (fun (i : M) => Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))
 Case conversion may be inaccurate. Consider using '#align linear_map.lto_fun LinearMap.ltoFunₓ'. -/
 /-- `A`-linearly coerce a `R`-linear map from `M` to `A` to a function, given an algebra `A` over
 a commutative semiring `R` and `M` a module over `R`. -/

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

@@ -298,7 +298,7 @@ end algebraMap
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} S] (i : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)), (forall (c : R) (x : S), Eq.{succ u2} S (HMul.hMul.{u2, u2, u2} S S S (instHMul.{u2} S (Distrib.toHasMul.{u2} S (NonUnitalNonAssocSemiring.toDistrib.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) i c) x) (HMul.hMul.{u2, u2, u2} S S S (instHMul.{u2} S (Distrib.toHasMul.{u2} S (NonUnitalNonAssocSemiring.toDistrib.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) i c))) -> (Algebra.{u1, u2} R S _inst_1 _inst_2)
 but is expected to have type
-  forall {R : Type.{u1}} {S : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} S] (i : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)), (forall (c : R) (x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) _inst_2)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2))))) i c) x) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) c) _inst_2)))) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2))))) i c))) -> (Algebra.{u1, u2} R S _inst_1 _inst_2)
+  forall {R : Type.{u1}} {S : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} S] (i : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)), (forall (c : R) (x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) _inst_2)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2))))) i c) x) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) c) _inst_2)))) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_2))))) i c))) -> (Algebra.{u1, u2} R S _inst_1 _inst_2)
 Case conversion may be inaccurate. Consider using '#align ring_hom.to_algebra' RingHom.toAlgebra'ₓ'. -/
 /-- Creating an algebra from a morphism to the center of a semiring. -/
 def RingHom.toAlgebra' {R S} [CommSemiring R] [Semiring S] (i : R →+* S)
@@ -390,7 +390,7 @@ private theorem smul_def'' (r : R) (x : A) : r • x = algebraMap R A r * x :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_7 : CommSemiring.{u1} R] {A : Type.{u2}} [_inst_8 : Semiring.{u2} A] (P : Algebra.{u1, u2} R A _inst_7 _inst_8) (Q : Algebra.{u1, u2} R A _inst_7 _inst_8), (forall (r : R), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_7)) (Semiring.toNonAssocSemiring.{u2} A _inst_8)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_7)) (Semiring.toNonAssocSemiring.{u2} A _inst_8)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_7)) (Semiring.toNonAssocSemiring.{u2} A _inst_8)) (algebraMap.{u1, u2} R A _inst_7 _inst_8 P) r) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_7)) (Semiring.toNonAssocSemiring.{u2} A _inst_8)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_7)) (Semiring.toNonAssocSemiring.{u2} A _inst_8)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_7)) (Semiring.toNonAssocSemiring.{u2} A _inst_8)) (algebraMap.{u1, u2} R A _inst_7 _inst_8 Q) r)) -> (Eq.{max (succ u1) (succ u2)} (Algebra.{u1, u2} R A _inst_7 _inst_8) P Q)
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_7 : CommSemiring.{u2} R] {A : Type.{u1}} [_inst_8 : Semiring.{u1} A] (P : Algebra.{u2, u1} R A _inst_7 _inst_8) (Q : Algebra.{u2, u1} R A _inst_7 _inst_8), (forall (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8))))) (algebraMap.{u2, u1} R A _inst_7 _inst_8 P) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8))))) (algebraMap.{u2, u1} R A _inst_7 _inst_8 Q) r)) -> (Eq.{max (succ u2) (succ u1)} (Algebra.{u2, u1} R A _inst_7 _inst_8) P Q)
+  forall {R : Type.{u2}} [_inst_7 : CommSemiring.{u2} R] {A : Type.{u1}} [_inst_8 : Semiring.{u1} A] (P : Algebra.{u2, u1} R A _inst_7 _inst_8) (Q : Algebra.{u2, u1} R A _inst_7 _inst_8), (forall (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8))))) (algebraMap.{u2, u1} R A _inst_7 _inst_8 P) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_8)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_7)) (Semiring.toNonAssocSemiring.{u1} A _inst_8))))) (algebraMap.{u2, u1} R A _inst_7 _inst_8 Q) r)) -> (Eq.{max (succ u2) (succ u1)} (Algebra.{u2, u1} R A _inst_7 _inst_8) P Q)
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_ext Algebra.algebra_extₓ'. -/
 -- We'll later use this to show `algebra ℤ M` is a subsingleton.
 /-- To prove two algebra structures on a fixed `[comm_semiring R] [semiring A]` agree,
@@ -439,7 +439,7 @@ attribute [instance] Algebra.toHasSmul
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R) (x : A), Eq.{succ u2} A (SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4))))) r x) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) x)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R) (x : A), Eq.{succ u2} A (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_3 _inst_4)) r x) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) x)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R) (x : A), Eq.{succ u2} A (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_3 _inst_4)) r x) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) x)
 Case conversion may be inaccurate. Consider using '#align algebra.smul_def Algebra.smul_defₓ'. -/
 theorem smul_def (r : R) (x : A) : r • x = algebraMap R A r * x :=
   Algebra.smul_def' r x
@@ -449,7 +449,7 @@ theorem smul_def (r : R) (x : A) : r • x = algebraMap R A r * x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4))))) r (OfNat.ofNat.{u2} A 1 (OfNat.mk.{u2} A 1 (One.one.{u2} A (AddMonoidWithOne.toOne.{u2} A (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} A (NonAssocSemiring.toAddCommMonoidWithOne.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_3 _inst_4)) r (OfNat.ofNat.{u2} A 1 (One.toOfNat1.{u2} A (Semiring.toOne.{u2} A _inst_3))))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_3 _inst_4)) r (OfNat.ofNat.{u2} A 1 (One.toOfNat1.{u2} A (Semiring.toOne.{u2} A _inst_3))))
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_eq_smul_one Algebra.algebraMap_eq_smul_oneₓ'. -/
 theorem algebraMap_eq_smul_one (r : R) : algebraMap R A r = r • 1 :=
   calc
@@ -462,7 +462,7 @@ theorem algebraMap_eq_smul_one (r : R) : algebraMap R A r = r • 1 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (R -> A) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (r : R) => SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4))))) r (OfNat.ofNat.{u2} A 1 (OfNat.mk.{u2} A 1 (One.one.{u2} A (AddMonoidWithOne.toOne.{u2} A (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} A (NonAssocSemiring.toAddCommMonoidWithOne.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (forall (ᾰ : R), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) ᾰ) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (r : R) => HSMul.hSMul.{u1, u2, u2} R A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (instHSMul.{u1, u2} R A (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_3 _inst_4)) r (OfNat.ofNat.{u2} A 1 (One.toOfNat1.{u2} A (Semiring.toOne.{u2} A _inst_3))))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (forall (ᾰ : R), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) ᾰ) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (r : R) => HSMul.hSMul.{u1, u2, u2} R A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (instHSMul.{u1, u2} R A (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_3 _inst_4)) r (OfNat.ofNat.{u2} A 1 (One.toOfNat1.{u2} A (Semiring.toOne.{u2} A _inst_3))))
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_eq_smul_one' Algebra.algebraMap_eq_smul_one'ₓ'. -/
 theorem algebraMap_eq_smul_one' : ⇑(algebraMap R A) = fun r => r • (1 : A) :=
   funext algebraMap_eq_smul_one
@@ -472,7 +472,7 @@ theorem algebraMap_eq_smul_one' : ⇑(algebraMap R A) = fun r => r • (1 : A) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R) (x : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) x) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R) (x : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) x) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R) (x : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) x) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
 Case conversion may be inaccurate. Consider using '#align algebra.commutes Algebra.commutesₓ'. -/
 /-- `mul_comm` for `algebra`s when one element is from the base ring. -/
 theorem commutes (r : R) (x : A) : algebraMap R A r * x = x * algebraMap R A r :=
@@ -483,7 +483,7 @@ theorem commutes (r : R) (x : A) : algebraMap R A r * x = x * algebraMap R A r :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (x : A) (r : R) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) x (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) y)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) x y))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (x : A) (r : R) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) y)) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x y))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (x : A) (r : R) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) y)) (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_3)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x y))
 Case conversion may be inaccurate. Consider using '#align algebra.left_comm Algebra.left_commₓ'. -/
 /-- `mul_left_comm` for `algebra`s when one element is from the base ring. -/
 theorem left_comm (x : A) (r : R) (y : A) :
@@ -495,7 +495,7 @@ theorem left_comm (x : A) (r : R) (y : A) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (x : A) (r : R) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)) y) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) x y) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (x : A) (r : R) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)) y) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x y) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (x : A) (r : R) (y : A), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)) y) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))) x y) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
 Case conversion may be inaccurate. Consider using '#align algebra.right_comm Algebra.right_commₓ'. -/
 /-- `mul_right_comm` for `algebra`s when one element is from the base ring. -/
 theorem right_comm (x : A) (r : R) (y : A) : x * algebraMap R A r * y = x * y * algebraMap R A r :=
@@ -544,7 +544,7 @@ protected theorem smul_mul_assoc (r : R) (x y : A) : r • x * y = r • (x * y)
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] {α : Type.{u3}} [_inst_7 : Monoid.{u3} α] [_inst_8 : MulDistribMulAction.{u3, u2} α A _inst_7 (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_3))] [_inst_9 : SMulCommClass.{u3, u1, u2} α R A (MulAction.toHasSmul.{u3, u2} α A _inst_7 (MulDistribMulAction.toMulAction.{u3, u2} α A _inst_7 (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_3)) _inst_8)) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)))))] (a : α) (r : R), Eq.{succ u2} A (SMul.smul.{u3, u2} α A (MulAction.toHasSmul.{u3, u2} α A _inst_7 (MulDistribMulAction.toMulAction.{u3, u2} α A _inst_7 (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_3)) _inst_8)) a (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u2, u3} R A _inst_1 _inst_3] {α : Type.{u1}} [_inst_7 : Monoid.{u1} α] [_inst_8 : MulDistribMulAction.{u1, u3} α A _inst_7 (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_3))] [_inst_9 : SMulCommClass.{u1, u2, u3} α R A (MulAction.toSMul.{u1, u3} α A _inst_7 (MulDistribMulAction.toMulAction.{u1, u3} α A _inst_7 (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_3)) _inst_8)) (Algebra.toSMul.{u2, u3} R A _inst_1 _inst_3 _inst_4)] (a : α) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (HSMul.hSMul.{u1, u3, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (instHSMul.{u1, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (MulAction.toSMul.{u1, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) _inst_7 (MulDistribMulAction.toMulAction.{u1, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) _inst_7 (MonoidWithZero.toMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) _inst_3)) _inst_8))) a (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r)
+  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u2, u3} R A _inst_1 _inst_3] {α : Type.{u1}} [_inst_7 : Monoid.{u1} α] [_inst_8 : MulDistribMulAction.{u1, u3} α A _inst_7 (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_3))] [_inst_9 : SMulCommClass.{u1, u2, u3} α R A (MulAction.toSMul.{u1, u3} α A _inst_7 (MulDistribMulAction.toMulAction.{u1, u3} α A _inst_7 (MonoidWithZero.toMonoid.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_3)) _inst_8)) (Algebra.toSMul.{u2, u3} R A _inst_1 _inst_3 _inst_4)] (a : α) (r : R), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (HSMul.hSMul.{u1, u3, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (instHSMul.{u1, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (MulAction.toSMul.{u1, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_7 (MulDistribMulAction.toMulAction.{u1, u3} α ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_7 (MonoidWithZero.toMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_3)) _inst_8))) a (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r)
 Case conversion may be inaccurate. Consider using '#align smul_algebra_map smul_algebraMapₓ'. -/
 @[simp]
 theorem smul_algebraMap {α : Type _} [Monoid α] [MulDistribMulAction α A] [SMulCommClass α R A]
@@ -663,7 +663,7 @@ protected def linearMap : R →ₗ[R] A :=
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) => R -> A) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
 but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => A) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => A) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
 Case conversion may be inaccurate. Consider using '#align algebra.linear_map_apply Algebra.linearMap_applyₓ'. -/
 @[simp]
 theorem linearMap_apply (r : R) : Algebra.linearMap R A r = algebraMap R A r :=
@@ -674,7 +674,7 @@ theorem linearMap_apply (r : R) : Algebra.linearMap R A r = algebraMap R A r :=
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (R -> A) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) => R -> A) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4))
 but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (forall (ᾰ : R), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => A) ᾰ) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4))
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3], Eq.{max (succ u1) (succ u2)} (forall (ᾰ : R), (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => A) ᾰ) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_3 _inst_4) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.linearMap.{u1, u2} R A _inst_1 _inst_3 _inst_4)) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3))))) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4))
 Case conversion may be inaccurate. Consider using '#align algebra.coe_linear_map Algebra.coe_linearMapₓ'. -/
 theorem coe_linearMap : ⇑(Algebra.linearMap R A) = algebraMap R A :=
   rfl
@@ -701,7 +701,7 @@ theorem map_eq_id : algebraMap R R = RingHom.id _ :=
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (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))) (algebraMap.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1)) x) x
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (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)))))) (algebraMap.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1)) x) x
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (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)))))) (algebraMap.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1)) x) x
 Case conversion may be inaccurate. Consider using '#align algebra.id.map_eq_self Algebra.id.map_eq_selfₓ'. -/
 theorem map_eq_self (x : R) : algebraMap R R x = x :=
   rfl
@@ -739,7 +739,7 @@ instance PUnit.algebra : Algebra R PUnit
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (r : R), Eq.{succ u2} PUnit.{succ u2} (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R PUnit.{succ u2} (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} PUnit.{succ u2} (Ring.toSemiring.{u2} PUnit.{succ u2} (CommRing.toRing.{u2} PUnit.{succ u2} PUnit.commRing.{u2})))) (fun (_x : RingHom.{u1, u2} R PUnit.{succ u2} (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} PUnit.{succ u2} (Ring.toSemiring.{u2} PUnit.{succ u2} (CommRing.toRing.{u2} PUnit.{succ u2} PUnit.commRing.{u2})))) => R -> PUnit.{succ u2}) (RingHom.hasCoeToFun.{u1, u2} R PUnit.{succ u2} (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} PUnit.{succ u2} (Ring.toSemiring.{u2} PUnit.{succ u2} (CommRing.toRing.{u2} PUnit.{succ u2} PUnit.commRing.{u2})))) (algebraMap.{u1, u2} R PUnit.{succ u2} _inst_1 (Ring.toSemiring.{u2} PUnit.{succ u2} (CommRing.toRing.{u2} PUnit.{succ u2} PUnit.commRing.{u2})) (PUnit.algebra.{u1, u2} R _inst_1)) r) PUnit.unit.{succ u2}
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => PUnit.{succ u1}) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => PUnit.{succ u1}) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} PUnit.{succ u1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))) (RingHom.instRingHomClassRingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))))))) (algebraMap.{u2, u1} R PUnit.{succ u1} _inst_1 (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})) (PUnit.algebra.{u2, u1} R _inst_1)) r) PUnit.unit.{succ u1}
+  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => PUnit.{succ u1}) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => PUnit.{succ u1}) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} PUnit.{succ u1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})))) R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))) (RingHom.instRingHomClassRingHom.{u2, u1} R PUnit.{succ u1} (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} PUnit.{succ u1} (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1}))))))) (algebraMap.{u2, u1} R PUnit.{succ u1} _inst_1 (Ring.toSemiring.{u1} PUnit.{succ u1} (CommRing.toRing.{u1} PUnit.{succ u1} PUnit.commRing.{u1})) (PUnit.algebra.{u2, u1} R _inst_1)) r) PUnit.unit.{succ u1}
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_punit Algebra.algebraMap_pUnitₓ'. -/
 @[simp]
 theorem algebraMap_pUnit (r : R) : algebraMap R PUnit r = PUnit.unit :=
@@ -765,7 +765,7 @@ instance ULift.algebra : Algebra R (ULift A) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ (max u2 u3)} (ULift.{u3, u2} A) (coeFn.{max (succ u1) (succ (max u2 u3)), max (succ u1) (succ (max u2 u3))} (RingHom.{u1, max u2 u3} R (ULift.{u3, u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (ULift.{u3, u2} A) (ULift.semiring.{u2, u3} A _inst_3))) (fun (_x : RingHom.{u1, max u2 u3} R (ULift.{u3, u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (ULift.{u3, u2} A) (ULift.semiring.{u2, u3} A _inst_3))) => R -> (ULift.{u3, u2} A)) (RingHom.hasCoeToFun.{u1, max u2 u3} R (ULift.{u3, u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (ULift.{u3, u2} A) (ULift.semiring.{u2, u3} A _inst_3))) (algebraMap.{u1, max u2 u3} R (ULift.{u3, u2} A) _inst_1 (ULift.semiring.{u2, u3} A _inst_3) (ULift.algebra.{u1, u2, u3} R A _inst_1 _inst_3 _inst_4)) r) (ULift.up.{u3, u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r))
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u2, u3} R A _inst_1 _inst_3] (r : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => ULift.{u1, u3} A) r) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u2, max (succ u3) (succ u1)} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => ULift.{u1, u3} A) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)) (RingHom.instRingHomClassRingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))))) (algebraMap.{u2, max u3 u1} R (ULift.{u1, u3} A) _inst_1 (ULift.semiring.{u3, u1} A _inst_3) (ULift.algebra.{u2, u3, u1} R A _inst_1 _inst_3 _inst_4)) r) (ULift.up.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r))
+  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u2, u3} R A _inst_1 _inst_3] (r : R), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => ULift.{u1, u3} A) r) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u2, max (succ u3) (succ u1)} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => ULift.{u1, u3} A) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)) (RingHom.instRingHomClassRingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))))) (algebraMap.{u2, max u3 u1} R (ULift.{u1, u3} A) _inst_1 (ULift.semiring.{u3, u1} A _inst_3) (ULift.algebra.{u2, u3, u1} R A _inst_1 _inst_3 _inst_4)) r) (ULift.up.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r))
 Case conversion may be inaccurate. Consider using '#align ulift.algebra_map_eq ULift.algebraMap_eqₓ'. -/
 theorem ULift.algebraMap_eq (r : R) : algebraMap R (ULift A) r = ULift.up (algebraMap R A r) :=
   rfl
@@ -775,7 +775,7 @@ theorem ULift.algebraMap_eq (r : R) : algebraMap R (ULift A) r = ULift.up (algeb
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_3 : Semiring.{u2} A] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_3] (r : R), Eq.{succ u2} A (ULift.down.{u3, u2} A (coeFn.{max (succ u1) (succ (max u2 u3)), max (succ u1) (succ (max u2 u3))} (RingHom.{u1, max u2 u3} R (ULift.{u3, u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (ULift.{u3, u2} A) (ULift.semiring.{u2, u3} A _inst_3))) (fun (_x : RingHom.{u1, max u2 u3} R (ULift.{u3, u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (ULift.{u3, u2} A) (ULift.semiring.{u2, u3} A _inst_3))) => R -> (ULift.{u3, u2} A)) (RingHom.hasCoeToFun.{u1, max u2 u3} R (ULift.{u3, u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{max u2 u3} (ULift.{u3, u2} A) (ULift.semiring.{u2, u3} A _inst_3))) (algebraMap.{u1, max u2 u3} R (ULift.{u3, u2} A) _inst_1 (ULift.semiring.{u2, u3} A _inst_3) (ULift.algebra.{u1, u2, u3} R A _inst_1 _inst_3 _inst_4)) r)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_3)) (algebraMap.{u1, u2} R A _inst_1 _inst_3 _inst_4) r)
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u2, u3} R A _inst_1 _inst_3] (r : R), Eq.{succ u3} A (ULift.down.{u1, u3} A (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u2, max (succ u3) (succ u1)} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => ULift.{u1, u3} A) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)) (RingHom.instRingHomClassRingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))))) (algebraMap.{u2, max u3 u1} R (ULift.{u1, u3} A) _inst_1 (ULift.semiring.{u3, u1} A _inst_3) (ULift.algebra.{u2, u3, u1} R A _inst_1 _inst_3 _inst_4)) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r)
+  forall {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u2} R] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u2, u3} R A _inst_1 _inst_3] (r : R), Eq.{succ u3} A (ULift.down.{u1, u3} A (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u2, max (succ u3) (succ u1)} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => ULift.{u1, u3} A) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u3 u1} (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u2, max u3 u1} (RingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3))) R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)) (RingHom.instRingHomClassRingHom.{u2, max u3 u1} R (ULift.{u1, u3} A) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{max u3 u1} (ULift.{u1, u3} A) (ULift.semiring.{u3, u1} A _inst_3)))))) (algebraMap.{u2, max u3 u1} R (ULift.{u1, u3} A) _inst_1 (ULift.semiring.{u3, u1} A _inst_3) (ULift.algebra.{u2, u3, u1} R A _inst_1 _inst_3 _inst_4)) r)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u3, u2, u3} (RingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3) (RingHom.instRingHomClassRingHom.{u2, u3} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} A _inst_3))))) (algebraMap.{u2, u3} R A _inst_1 _inst_3 _inst_4) r)
 Case conversion may be inaccurate. Consider using '#align ulift.down_algebra_map ULift.down_algebraMapₓ'. -/
 @[simp]
 theorem ULift.down_algebraMap (r : R) : (algebraMap R (ULift A) r).down = algebraMap R A r :=
@@ -813,7 +813,7 @@ theorem algebraMap_ofSubsemiring (S : Subsemiring R) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (S : Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))), Eq.{succ u1} ((fun (_x : RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) -> R) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) -> R) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.Mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.hasMem.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S))
 but is expected to have type
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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) a) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))))) (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} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun 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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S))
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (S : Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))), Eq.{succ u1} (forall (a : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) a) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))))) (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} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S))
 Case conversion may be inaccurate. Consider using '#align algebra.coe_algebra_map_of_subsemiring Algebra.coe_algebraMap_ofSubsemiringₓ'. -/
 theorem coe_algebraMap_ofSubsemiring (S : Subsemiring R) : (algebraMap S R : S → R) = Subtype.val :=
   rfl
@@ -823,7 +823,7 @@ theorem coe_algebraMap_ofSubsemiring (S : Subsemiring R) : (algebraMap S R : S 
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (S : Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (x : coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) => (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) -> R) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S)) x) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) S) R (coeSubtype.{succ u1} R (fun (x : R) => Membership.Mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.hasMem.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.setLike.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S))))) x)
 but is expected to have type
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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) x) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R 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(CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun 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S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S)) x) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Set.{u1} R) (Set.instMembershipSet.{u1} R) x (SetLike.coe.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) S)) x)
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (S : Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) x) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))))) (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} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) (Subsemiring.toCommSemiring.{u1} R _inst_1 S))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (SetLike.instMembership.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) x S)) R (Subsemiring.toCommSemiring.{u1} R _inst_1 S) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.ofSubsemiring.{u1, u1} R R _inst_1 (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.id.{u1} R _inst_1) S)) x) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Set.{u1} R) (Set.instMembershipSet.{u1} R) x (SetLike.coe.{u1, u1} (Subsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (Subsemiring.instSetLikeSubsemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) S)) x)
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_of_subsemiring_apply Algebra.algebraMap_ofSubsemiring_applyₓ'. -/
 theorem algebraMap_ofSubsemiring_apply (S : Subsemiring R) (x : S) : algebraMap S R x = x :=
   rfl
@@ -856,7 +856,7 @@ theorem algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)), Eq.{succ u1} ((fun (_x : RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) => (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) -> R) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (fun (_x : RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) => (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) -> R) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.Mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.hasMem.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S))
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)), Eq.{succ u1} (forall (a : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) a) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) 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=> Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S))
+  forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)), Eq.{succ u1} (forall (a : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) a) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) 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=> Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} 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(CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ 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_inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S))) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S))
 Case conversion may be inaccurate. Consider using '#align algebra.coe_algebra_map_of_subring Algebra.coe_algebraMap_ofSubringₓ'. -/
 theorem coe_algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
     (algebraMap S R : S → R) = Subtype.val :=
@@ -867,7 +867,7 @@ theorem coe_algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (x : coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S), Eq.{succ u1} R (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} 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R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) => (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) -> R) (RingHom.hasCoeToFun.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (Semiring.toNonAssocSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (CommSemiring.toSemiring.{u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (algebraMap.{u1, u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (SubsemiringClass.toCommSemiring.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S R (CommRing.toCommSemiring.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SubringClass.to_subsemiringClass.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (CommRing.toRing.{u1} R _inst_7) (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Subring.subringClass.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S)) x) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) S) R (coeSubtype.{succ u1} R (fun (x : R) => Membership.Mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.hasMem.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.setLike.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S))))) x)
 but is expected to have type
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(Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ 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_inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S)) x) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Set.{u1} R) (Set.instMembershipSet.{u1} R) x (SetLike.coe.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S)) x)
+  forall {R : Type.{u1}} [_inst_7 : CommRing.{u1} R] (S : Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) x) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (fun (_x : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) => R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonUnitalNonAssocSemiring.toMul.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))))) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)))) (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (Semiring.toNonAssocSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommSemiring.toSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)))) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7))))))) (algebraMap.{u1, u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) R (CommRing.toCommSemiring.{u1} (Subtype.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (SetLike.instMembership.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7))) x S)) (Subring.toCommRing.{u1} R _inst_7 S)) (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_7)) (Algebra.ofSubring.{u1, u1} R R _inst_7 (CommRing.toRing.{u1} R _inst_7) (Algebra.id.{u1} R (CommRing.toCommSemiring.{u1} R _inst_7)) S)) x) (Subtype.val.{succ u1} R (fun (x : R) => Membership.mem.{u1, u1} R (Set.{u1} R) (Set.instMembershipSet.{u1} R) x (SetLike.coe.{u1, u1} (Subring.{u1} R (CommRing.toRing.{u1} R _inst_7)) R (Subring.instSetLikeSubring.{u1} R (CommRing.toRing.{u1} R _inst_7)) S)) x)
 Case conversion may be inaccurate. Consider using '#align algebra.algebra_map_of_subring_apply Algebra.algebraMap_ofSubring_applyₓ'. -/
 theorem algebraMap_ofSubring_apply {R : Type _} [CommRing R] (S : Subring R) (x : S) :
     algebraMap S R x = x :=
@@ -886,7 +886,7 @@ def algebraMapSubmonoid (S : Type _) [Semiring S] [Algebra R S] (M : Submonoid R
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {S : Type.{u2}} [_inst_7 : Semiring.{u2} S] [_inst_8 : Algebra.{u1, u2} R S _inst_1 _inst_7] {M : Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))} (x : coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) M), Membership.Mem.{u2, u2} S (Submonoid.{u2} S (MulZeroOneClass.toMulOneClass.{u2} S (NonAssocSemiring.toMulZeroOneClass.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_7)))) (SetLike.hasMem.{u2, u2} (Submonoid.{u2} S (MulZeroOneClass.toMulOneClass.{u2} S (NonAssocSemiring.toMulZeroOneClass.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_7)))) S (Submonoid.setLike.{u2} S (MulZeroOneClass.toMulOneClass.{u2} S (NonAssocSemiring.toMulZeroOneClass.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_7))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_7)) (fun (_x : RingHom.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_7)) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} S _inst_7)) (algebraMap.{u1, u2} R S _inst_1 _inst_7 _inst_8) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) M) R (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) M) R (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) M) R (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) M) R (coeSubtype.{succ u1} R (fun (x : R) => Membership.Mem.{u1, u1} R (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) x M))))) x)) (Algebra.algebraMapSubmonoid.{u1, u2} R _inst_1 S _inst_7 _inst_8 M)
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] {S : Type.{u1}} [_inst_7 : Semiring.{u1} S] [_inst_8 : Algebra.{u2, u1} R S _inst_1 _inst_7] {M : Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))} (x : Subtype.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) x M)), Membership.mem.{u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) (Subtype.val.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Set.{u2} R) (Set.instMembershipSet.{u2} R) x (SetLike.coe.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) M)) x)) (Submonoid.{u1} S (MulZeroOneClass.toMulOneClass.{u1} S (NonAssocSemiring.toMulZeroOneClass.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7)))) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} S (MulZeroOneClass.toMulOneClass.{u1} S (NonAssocSemiring.toMulZeroOneClass.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7)))) S (Submonoid.instSetLikeSubmonoid.{u1} S (MulZeroOneClass.toMulOneClass.{u1} S (NonAssocSemiring.toMulZeroOneClass.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7))))) (algebraMap.{u2, u1} R S _inst_1 _inst_7 _inst_8) (Subtype.val.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Set.{u2} R) (Set.instMembershipSet.{u2} R) x (SetLike.coe.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) M)) x)) (Algebra.algebraMapSubmonoid.{u2, u1} R _inst_1 S _inst_7 _inst_8 M)
+  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] {S : Type.{u1}} [_inst_7 : Semiring.{u1} S] [_inst_8 : Algebra.{u2, u1} R S _inst_1 _inst_7] {M : Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))} (x : Subtype.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) x M)), Membership.mem.{u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) (Subtype.val.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Set.{u2} R) (Set.instMembershipSet.{u2} R) x (SetLike.coe.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) M)) x)) (Submonoid.{u1} S (MulZeroOneClass.toMulOneClass.{u1} S (NonAssocSemiring.toMulZeroOneClass.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7)))) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} S (MulZeroOneClass.toMulOneClass.{u1} S (NonAssocSemiring.toMulZeroOneClass.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7)))) S (Submonoid.instSetLikeSubmonoid.{u1} S (MulZeroOneClass.toMulOneClass.{u1} S (NonAssocSemiring.toMulZeroOneClass.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_7)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7)) R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} S _inst_7))))) (algebraMap.{u2, u1} R S _inst_1 _inst_7 _inst_8) (Subtype.val.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Set.{u2} R) (Set.instMembershipSet.{u2} R) x (SetLike.coe.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (NonAssocSemiring.toMulZeroOneClass.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))) M)) x)) (Algebra.algebraMapSubmonoid.{u2, u1} R _inst_1 S _inst_7 _inst_8 M)
 Case conversion may be inaccurate. Consider using '#align algebra.mem_algebra_map_submonoid_of_mem Algebra.mem_algebraMapSubmonoid_of_memₓ'. -/
 theorem mem_algebraMapSubmonoid_of_mem {S : Type _} [Semiring S] [Algebra R S] {M : Submonoid R}
     (x : M) : algebraMap R S x ∈ algebraMapSubmonoid S M :=
@@ -903,7 +903,7 @@ variable [CommSemiring R]
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2))) x (HSub.hSub.{u2, u2, u2} A A A (instHSub.{u2} A (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddGroupWithOne.toAddGroup.{u2} A (NonAssocRing.toAddGroupWithOne.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2))) (HSub.hSub.{u2, u2, u2} A A A (instHSub.{u2} A (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddGroupWithOne.toAddGroup.{u2} A (NonAssocRing.toAddGroupWithOne.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) x)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) x (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) x)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) x (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) x)
 Case conversion may be inaccurate. Consider using '#align algebra.mul_sub_algebra_map_commutes Algebra.mul_sub_algebraMap_commutesₓ'. -/
 theorem mul_sub_algebraMap_commutes [Ring A] [Algebra R A] (x : A) (r : R) :
     x * (x - algebraMap R A r) = (x - algebraMap R A r) * x := by rw [mul_sub, ← commutes, sub_mul]
@@ -913,7 +913,7 @@ theorem mul_sub_algebraMap_commutes [Ring A] [Algebra R A] (x : A) (r : R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R) (n : Nat), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2))) x (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (Ring.toMonoid.{u2} A _inst_2))) (HSub.hSub.{u2, u2, u2} A A A (instHSub.{u2} A (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddGroupWithOne.toAddGroup.{u2} A (NonAssocRing.toAddGroupWithOne.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2))) (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (Ring.toMonoid.{u2} A _inst_2))) (HSub.hSub.{u2, u2, u2} A A A (instHSub.{u2} A (SubNegMonoid.toHasSub.{u2} A (AddGroup.toSubNegMonoid.{u2} A (AddGroupWithOne.toAddGroup.{u2} A (NonAssocRing.toAddGroupWithOne.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))) x (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n) x)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R) (n : Nat), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) x (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2))))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2))))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n) x)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] (x : A) (r : R) (n : Nat), Eq.{succ u2} A (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) x (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2))))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (HPow.hPow.{u2, 0, u2} A Nat A (instHPow.{u2, 0} A Nat (Monoid.Pow.{u2} A (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2))))) (HSub.hSub.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A (instHSub.{u2} A (Ring.toSub.{u2} A _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) r)) n) x)
 Case conversion may be inaccurate. Consider using '#align algebra.mul_sub_algebra_map_pow_commutes Algebra.mul_sub_algebraMap_pow_commutesₓ'. -/
 theorem mul_sub_algebraMap_pow_commutes [Ring A] [Algebra R A] (x : A) (r : R) (n : ℕ) :
     x * (x - algebraMap R A r) ^ n = (x - algebraMap R A r) ^ n * x :=
@@ -964,7 +964,7 @@ instance : Algebra R Aᵐᵒᵖ :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (c : R), Eq.{succ u2} (MulOpposite.{u2} A) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) => R -> (MulOpposite.{u2} A)) (RingHom.hasCoeToFun.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.semiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R (MulOpposite.{u2} A) _inst_1 (MulOpposite.semiring.{u2} A _inst_2) (MulOpposite.algebra.{u1, u2} R A _inst_1 _inst_2 _inst_3)) c) (MulOpposite.op.{u2} A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) c))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (c : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => MulOpposite.{u2} A) c) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => MulOpposite.{u2} A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (MulOpposite.{u2} A) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (MulOpposite.{u2} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (MulOpposite.{u2} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R (MulOpposite.{u2} A) _inst_1 (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2) (MulOpposite.instAlgebraMulOppositeInstSemiringMulOpposite.{u1, u2} R A _inst_1 _inst_2 _inst_3)) c) (MulOpposite.op.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) c) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) c))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (c : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => MulOpposite.{u2} A) c) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => MulOpposite.{u2} A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (MulOpposite.{u2} A) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (MulOpposite.{u2} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (MulOpposite.{u2} A) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2))) R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2)) (RingHom.instRingHomClassRingHom.{u1, u2} R (MulOpposite.{u2} A) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (MulOpposite.{u2} A) (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2)))))) (algebraMap.{u1, u2} R (MulOpposite.{u2} A) _inst_1 (MulOpposite.instSemiringMulOpposite.{u2} A _inst_2) (MulOpposite.instAlgebraMulOppositeInstSemiringMulOpposite.{u1, u2} R A _inst_1 _inst_2 _inst_3)) c) (MulOpposite.op.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) c) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) c))
 Case conversion may be inaccurate. Consider using '#align mul_opposite.algebra_map_apply MulOpposite.algebraMap_applyₓ'. -/
 @[simp]
 theorem algebraMap_apply (c : R) : algebraMap R Aᵐᵒᵖ c = op (algebraMap R A c) :=
@@ -984,7 +984,7 @@ instance : Algebra R (Module.End R M) :=
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R), Eq.{succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) (SMul.smul.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (LinearMap.hasSmul.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) a (LinearMap.id.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))
 but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) (HSMul.hSMul.{u1, u2, u2} R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (instHSMul.{u1, u2} R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearMap.instSMulLinearMap.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) a (LinearMap.id.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))
+  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) (HSMul.hSMul.{u1, u2, u2} R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (instHSMul.{u1, u2} R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) (LinearMap.instSMulLinearMap.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) a (LinearMap.id.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))
 Case conversion may be inaccurate. Consider using '#align module.algebra_map_End_eq_smul_id Module.algebraMap_end_eq_smul_idₓ'. -/
 theorem algebraMap_end_eq_smul_id (a : R) : (algebraMap R (End R M)) a = a • LinearMap.id :=
   rfl
@@ -994,7 +994,7 @@ theorem algebraMap_end_eq_smul_id (a : R) : (algebraMap R (End R M)) a = a • L
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R) (m : M), Eq.{succ u2} M (coeFn.{succ u2, succ u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) m) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) a m)
 but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R) (m : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) m) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) a m)
+  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] (a : R) (m : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) a) m) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) a m)
 Case conversion may be inaccurate. Consider using '#align module.algebra_map_End_apply Module.algebraMap_end_applyₓ'. -/
 @[simp]
 theorem algebraMap_end_apply (a : R) (m : M) : (algebraMap R (End R M)) a m = a • m :=
@@ -1005,7 +1005,7 @@ theorem algebraMap_end_apply (a : R) (m : M) : (algebraMap R (End R M)) a m = a
 lean 3 declaration is
   forall (K : Type.{u1}) (V : Type.{u2}) [_inst_4 : Field.{u1} K] [_inst_5 : AddCommGroup.{u2} V] [_inst_6 : Module.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5)] (a : K), (Ne.{succ u1} K a (OfNat.ofNat.{u1} K 0 (OfNat.mk.{u1} K 0 (Zero.zero.{u1} K (MulZeroClass.toHasZero.{u1} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))))))))))) -> (Eq.{succ u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (LinearMap.ker.{u1, u1, u2, u2, u2} K K V V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))))) (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} K K V V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4)))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) (fun (_x : RingHom.{u1, u2} K (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) => K -> (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) (RingHom.hasCoeToFun.{u1, u2} K (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) (algebraMap.{u1, u2} K (Module.End.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (Module.End.semiring.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.algebra.{u1, u2} K V (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) a)) (Bot.bot.{u2} (Submodule.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Submodule.hasBot.{u1, u2} K V (Ring.toSemiring.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))
 but is expected to have type
-  forall (K : Type.{u1}) (V : Type.{u2}) [_inst_4 : Field.{u1} K] [_inst_5 : AddCommGroup.{u2} V] [_inst_6 : Module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5)] (a : K), (Ne.{succ u1} K a (OfNat.ofNat.{u1} K 0 (Zero.toOfNat0.{u1} K (CommMonoidWithZero.toZero.{u1} K (CommGroupWithZero.toCommMonoidWithZero.{u1} K (Semifield.toCommGroupWithZero.{u1} K (Field.toSemifield.{u1} K _inst_4))))))) -> (Eq.{succ u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (LinearMap.ker.{u1, u1, u2, u2, u2} K K V V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : K) => Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) a) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u2} K K V V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (fun (_x : K) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : K) => Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) (RingHom.instRingHomClassRingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))))) (algebraMap.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} K V (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) a)) (Bot.bot.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Submodule.instBotSubmodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))
+  forall (K : Type.{u1}) (V : Type.{u2}) [_inst_4 : Field.{u1} K] [_inst_5 : AddCommGroup.{u2} V] [_inst_6 : Module.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5)] (a : K), (Ne.{succ u1} K a (OfNat.ofNat.{u1} K 0 (Zero.toOfNat0.{u1} K (CommMonoidWithZero.toZero.{u1} K (CommGroupWithZero.toCommMonoidWithZero.{u1} K (Semifield.toCommGroupWithZero.{u1} K (Field.toSemifield.{u1} K _inst_4))))))) -> (Eq.{succ u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (LinearMap.ker.{u1, u1, u2, u2, u2} K K V V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : K) => Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) a) (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u2} K K V V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6 _inst_6 (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (fun (_x : K) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : K) => Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) 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(Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6))) K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) (RingHom.instRingHomClassRingHom.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)))) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))))) (algebraMap.{u1, u2} K (Module.End.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (Module.End.semiring.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} K V (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)) a)) (Bot.bot.{u2} (Submodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6) (Submodule.instBotSubmodule.{u1, u2} K V (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_4))) (AddCommGroup.toAddCommMonoid.{u2} V _inst_5) _inst_6)))
 Case conversion may be inaccurate. Consider using '#align module.ker_algebra_map_End Module.ker_algebraMap_endₓ'. -/
 @[simp]
 theorem ker_algebraMap_end (K : Type u) (V : Type v) [Field K] [AddCommGroup V] [Module K V] (a : K)
@@ -1059,7 +1059,7 @@ theorem End_isUnit_iff (f : Module.End R M) : IsUnit f ↔ Function.Bijective f
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M (coeFn.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (fun (x : Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) => M -> M) (coeFnTrans.{succ u2, succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeBaseAux.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Units.hasCoe.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (Inv.inv.{u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.hasInv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h)) m) m') (Eq.{succ u2} M m (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) x m'))
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInvUnits.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m) m') (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInvUnits.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m) m') (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
 Case conversion may be inaccurate. Consider using '#align module.End_algebra_map_is_unit_inv_apply_eq_iff Module.End_algebraMap_isUnit_inv_apply_eq_iffₓ'. -/
 theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
     (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) : h.Unit⁻¹ m = m' ↔ m = x • m' :=
@@ -1075,7 +1075,7 @@ theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M m' (coeFn.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (fun (x : Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) => M -> M) (coeFnTrans.{succ u2, succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_2 _inst_2 _inst_3 _inst_3) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeBaseAux.{succ u2, succ u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Units.hasCoe.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (Inv.inv.{u2} (Units.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.hasInv.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (fun (_x : RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) => R -> (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.hasCoeToFun.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.algebra.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h)) m)) (Eq.{succ u2} M m (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) x m'))
 but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M m' (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInvUnits.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m)) (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : AddCommMonoid.{u2} M] [_inst_3 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2] {x : R} (h : IsUnit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x)) (m : M) (m' : M), Iff (Eq.{succ u2} M m' (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) M (fun (x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_2 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Units.val.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Inv.inv.{u2} (Units.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (Units.instInvUnits.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (IsUnit.unit.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) x) (Module.End.monoid.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) a) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))) R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)) (RingHom.instRingHomClassRingHom.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3)))))) (algebraMap.{u1, u2} R (Module.End.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) _inst_1 (Module.End.semiring.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3) (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R M _inst_1 _inst_2 _inst_3)) x) h))) m)) (Eq.{succ u2} M m (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_2)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_2 _inst_3))))) x m'))
 Case conversion may be inaccurate. Consider using '#align module.End_algebra_map_is_unit_inv_apply_eq_iff' Module.End_algebraMap_isUnit_inv_apply_eq_iff'ₓ'. -/
 theorem End_algebraMap_isUnit_inv_apply_eq_iff' {x : R}
     (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) : m' = h.Unit⁻¹ m ↔ m = x • m' :=
@@ -1100,7 +1100,7 @@ variable {R : Type _} {A : Type _} {B : Type _} [CommSemiring R] [Semiring A] [S
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u3} B] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u1, u3} R B _inst_1 _inst_3] (f : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (HMul.hMul.{u3, u3, u3} B B B (instHMul.{u3} B (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (fun (_x : RingHom.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) => R -> B) (RingHom.hasCoeToFun.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (algebraMap.{u1, u3} R B _inst_1 _inst_3 _inst_5) r) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f a))
 but is expected to have type
-  forall {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u1} B] [_inst_4 : Algebra.{u3, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u3, u1} R B _inst_1 _inst_3] (f : LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) (HMul.hMul.{u2, u2, u2} 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(NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) 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(NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => B) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => B) r) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => B) r) (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => B) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => B) r) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => B) r) _inst_3)))) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => B) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3) (RingHom.instRingHomClassRingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3))))) (algebraMap.{u3, u1} R B _inst_1 _inst_3 _inst_5) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f a))
+  forall {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u1} B] [_inst_4 : Algebra.{u3, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u3, u1} R B _inst_1 _inst_3] (f : LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) (HMul.hMul.{u2, u2, u2} 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(NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (instHMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonUnitalNonAssocSemiring.toMul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_2)))) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r) a)) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => B) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => B) r) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => B) r) (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => B) r) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => B) r) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => B) r) _inst_3)))) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => B) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3) (RingHom.instRingHomClassRingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3))))) (algebraMap.{u3, u1} R B _inst_1 _inst_3 _inst_5) r) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f a))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_algebra_map_mul LinearMap.map_algebraMap_mulₓ'. -/
 /-- An alternate statement of `linear_map.map_smul` for when `algebra_map` is more convenient to
 work with than `•`. -/
@@ -1113,7 +1113,7 @@ theorem map_algebraMap_mul (f : A →ₗ[R] B) (a : A) (r : R) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u3} B] [_inst_4 : Algebra.{u1, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u1, u3} R B _inst_1 _inst_3] (f : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) a (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_4) r))) (HMul.hMul.{u3, u3, u3} B B B (instHMul.{u3} B (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) => A -> B) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} R R A B (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f a) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (fun (_x : RingHom.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) => R -> B) (RingHom.hasCoeToFun.{u1, u3} R B (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (algebraMap.{u1, u3} R B _inst_1 _inst_3 _inst_5) r))
 but is expected to have type
-  forall {R : Type.{u3}} {A : Type.{u2}} {B : Type.{u1}} [_inst_1 : CommSemiring.{u3} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Semiring.{u1} B] [_inst_4 : Algebra.{u3, u2} R A _inst_1 _inst_2] [_inst_5 : Algebra.{u3, u1} R B _inst_1 _inst_3] (f : LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) (a : A) (r : R), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) (HMul.hMul.{u2, u2, u2} A ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) a (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (a : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) a) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 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u2} (RingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u3, u2} R A (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u3, u2} R A _inst_1 _inst_2 _inst_4) r))) (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => B) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) a) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) a) (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) a) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) a) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) a) _inst_3)))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u3, u3, u2, u1} R R (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) A B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => B) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u1} R R A B (CommSemiring.toSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (Algebra.toModule.{u3, u2} R A _inst_1 _inst_2 _inst_4) (Algebra.toModule.{u3, u1} R B _inst_1 _inst_3 _inst_5) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) f a) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => B) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonUnitalNonAssocSemiring.toMul.{u3} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3)) R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3) (RingHom.instRingHomClassRingHom.{u3, u1} R B (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} B _inst_3))))) (algebraMap.{u3, u1} R B _inst_1 _inst_3 _inst_5) r))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_mul_algebra_map LinearMap.map_mul_algebraMapₓ'. -/
 theorem map_mul_algebraMap (f : A →ₗ[R] B) (a : A) (r : R) :
     f (a * algebraMap R A r) = f a * algebraMap R B r := by
@@ -1168,7 +1168,7 @@ variable {R S : Type _}
 lean 3 declaration is
   forall {R : Type.{u1}} {S : Type.{u2}} [_inst_1 : Ring.{u1} R] [_inst_2 : Ring.{u2} S] [_inst_3 : Algebra.{0, u1} Rat R Rat.commSemiring (Ring.toSemiring.{u1} R _inst_1)] [_inst_4 : Algebra.{0, u2} Rat S Rat.commSemiring (Ring.toSemiring.{u2} S _inst_2)] (f : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2))) (r : Rat), Eq.{succ u2} S (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2))) (fun (_x : RingHom.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2))) => R -> S) (RingHom.hasCoeToFun.{u1, u2} R S (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R _inst_1)) (NonAssocRing.toNonAssocSemiring.{u2} S (Ring.toNonAssocRing.{u2} S _inst_2))) f (coeFn.{succ u1, succ u1} (RingHom.{0, u1} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (fun (_x : RingHom.{0, u1} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) => Rat -> R) (RingHom.hasCoeToFun.{0, u1} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R _inst_1))) (algebraMap.{0, u1} Rat R Rat.commSemiring (Ring.toSemiring.{u1} R _inst_1) _inst_3) r)) (coeFn.{succ u2, succ u2} (RingHom.{0, u2} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} S (Ring.toSemiring.{u2} S _inst_2))) (fun (_x : RingHom.{0, u2} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} S (Ring.toSemiring.{u2} S _inst_2))) => Rat -> S) (RingHom.hasCoeToFun.{0, u2} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} S (Ring.toSemiring.{u2} S _inst_2))) (algebraMap.{0, u2} Rat S Rat.commSemiring (Ring.toSemiring.{u2} S _inst_2) _inst_4) r)
 but is expected to have type
-  forall {R : Type.{u2}} {S : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_3 : Algebra.{0, u2} Rat R Rat.commSemiring _inst_1] [_inst_4 : Algebra.{0, u1} Rat S Rat.commSemiring _inst_2] (f : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (r : Rat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) (FunLike.coe.{succ u2, 1, succ u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat (fun (a : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : Rat) => R) a) (MulHomClass.toFunLike.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1) (RingHom.instRingHomClassRingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (algebraMap.{0, u2} Rat R Rat.commSemiring _inst_1 _inst_3) r)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) f (FunLike.coe.{succ u2, 1, succ u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat (fun (_x : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : Rat) => R) _x) (MulHomClass.toFunLike.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1) (RingHom.instRingHomClassRingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (algebraMap.{0, u2} Rat R Rat.commSemiring _inst_1 _inst_3) r)) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat (fun (_x : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : Rat) => S) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) (algebraMap.{0, u1} Rat S Rat.commSemiring _inst_2 _inst_4) r)
+  forall {R : Type.{u2}} {S : Type.{u1}} [_inst_1 : Semiring.{u2} R] [_inst_2 : Semiring.{u1} S] [_inst_3 : Algebra.{0, u2} Rat R Rat.commSemiring _inst_1] [_inst_4 : Algebra.{0, u1} Rat S Rat.commSemiring _inst_2] (f : RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (r : Rat), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) (FunLike.coe.{succ u2, 1, succ u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat (fun (a : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Rat) => R) a) (MulHomClass.toFunLike.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1) (RingHom.instRingHomClassRingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (algebraMap.{0, u2} Rat R Rat.commSemiring _inst_1 _inst_3) r)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => S) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R S (Semiring.toNonAssocSemiring.{u2} R _inst_1) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) f (FunLike.coe.{succ u2, 1, succ u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat (fun (_x : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Rat) => R) _x) (MulHomClass.toFunLike.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (NonUnitalRingHomClass.toMulHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHomClass.toNonUnitalRingHomClass.{u2, 0, u2} (RingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1) (RingHom.instRingHomClassRingHom.{0, u2} Rat R (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (algebraMap.{0, u2} Rat R Rat.commSemiring _inst_1 _inst_3) r)) (FunLike.coe.{succ u1, 1, succ u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat (fun (_x : Rat) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : Rat) => S) _x) (MulHomClass.toFunLike.{u1, 0, u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (NonUnitalNonAssocSemiring.toMul.{0} Rat (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)))) (NonUnitalNonAssocSemiring.toMul.{u1} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{u1, 0, u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} Rat (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{u1, 0, u1} (RingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2)) Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2) (RingHom.instRingHomClassRingHom.{0, u1} Rat S (Semiring.toNonAssocSemiring.{0} Rat (CommSemiring.toSemiring.{0} Rat Rat.commSemiring)) (Semiring.toNonAssocSemiring.{u1} S _inst_2))))) (algebraMap.{0, u1} Rat S Rat.commSemiring _inst_2 _inst_4) r)
 Case conversion may be inaccurate. Consider using '#align ring_hom.map_rat_algebra_map RingHom.map_rat_algebraMapₓ'. -/
 -- note that `R`, `S` could be `semiring`s but this is useless mathematically speaking -
 -- a ℚ-algebra is a ring. furthermore, this change probably slows down elaboration.
@@ -1270,7 +1270,7 @@ open Algebra
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))], (Function.Injective.{succ u1, succ u2} R A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3))) -> (NoZeroSMulDivisors.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))))
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : Semiring.{u1} A] [_inst_3 : Algebra.{u2, u1} R A _inst_1 _inst_2] [_inst_4 : NoZeroDivisors.{u1} A (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_2))], (Function.Injective.{succ u2, succ u1} R A (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2))))) (algebraMap.{u2, u1} R A _inst_1 _inst_2 _inst_3))) -> (NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_2)) (Algebra.toSMul.{u2, u1} R A _inst_1 _inst_2 _inst_3))
+  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : CommSemiring.{u2} R] [_inst_2 : Semiring.{u1} A] [_inst_3 : Algebra.{u2, u1} R A _inst_1 _inst_2] [_inst_4 : NoZeroDivisors.{u1} A (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_2))], (Function.Injective.{succ u2, succ u1} R A (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2))))) (algebraMap.{u2, u1} R A _inst_1 _inst_2 _inst_3))) -> (NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_2)) (Algebra.toSMul.{u2, u1} R A _inst_1 _inst_2 _inst_3))
 Case conversion may be inaccurate. Consider using '#align no_zero_smul_divisors.of_algebra_map_injective NoZeroSMulDivisors.of_algebraMap_injectiveₓ'. -/
 /-- If `algebra_map R A` is injective and `A` has no zero divisors,
 `R`-multiples in `A` are zero only if one of the factors is zero.
@@ -1290,7 +1290,7 @@ variable (R A)
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommRing.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Nontrivial.{u2} A] [_inst_4 : Algebra.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_2)] [_inst_5 : NoZeroSMulDivisors.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_2) _inst_4)))))], Function.Injective.{succ u1, succ u2} R A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_2) _inst_4))
 but is expected to have type
-  forall (R : Type.{u2}) (A : Type.{u1}) [_inst_1 : CommRing.{u2} R] [_inst_2 : Ring.{u1} A] [_inst_3 : Nontrivial.{u1} A] [_inst_4 : Algebra.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2)] [_inst_5 : NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (Algebra.toSMul.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4)], Function.Injective.{succ u2, succ u1} R A (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))))) (algebraMap.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4))
+  forall (R : Type.{u2}) (A : Type.{u1}) [_inst_1 : CommRing.{u2} R] [_inst_2 : Ring.{u1} A] [_inst_3 : Nontrivial.{u1} A] [_inst_4 : Algebra.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2)] [_inst_5 : NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (Algebra.toSMul.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4)], Function.Injective.{succ u2, succ u1} R A (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))))) (algebraMap.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4))
 Case conversion may be inaccurate. Consider using '#align no_zero_smul_divisors.algebra_map_injective NoZeroSMulDivisors.algebraMap_injectiveₓ'. -/
 theorem algebraMap_injective [CommRing R] [Ring A] [Nontrivial A] [Algebra R A]
     [NoZeroSMulDivisors R A] : Function.Injective (algebraMap R A) :=
@@ -1319,7 +1319,7 @@ variable {R A}
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : IsDomain.{u2} A (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : Algebra.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_2)], Iff (NoZeroSMulDivisors.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_2) _inst_4)))))) (Function.Injective.{succ u1, succ u2} R A (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_2))) (algebraMap.{u1, u2} R A (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} A _inst_2) _inst_4)))
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_2 : Ring.{u1} A] [_inst_3 : IsDomain.{u1} A (Ring.toSemiring.{u1} A _inst_2)] [_inst_4 : Algebra.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2)], Iff (NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (Algebra.toSMul.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4)) (Function.Injective.{succ u2, succ u1} R A (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))))) (algebraMap.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4)))
+  forall {R : Type.{u2}} {A : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_2 : Ring.{u1} A] [_inst_3 : IsDomain.{u1} A (Ring.toSemiring.{u1} A _inst_2)] [_inst_4 : Algebra.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2)], Iff (NoZeroSMulDivisors.{u2, u1} R A (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (Algebra.toSMul.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4)) (Function.Injective.{succ u2, succ u1} R A (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2))) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_2)))))) (algebraMap.{u2, u1} R A (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} A _inst_2) _inst_4)))
 Case conversion may be inaccurate. Consider using '#align no_zero_smul_divisors.iff_algebra_map_injective NoZeroSMulDivisors.iff_algebraMap_injectiveₓ'. -/
 theorem iff_algebraMap_injective [CommRing R] [Ring A] [IsDomain A] [Algebra R A] :
     NoZeroSMulDivisors R A ↔ Function.Injective (algebraMap R A) :=
@@ -1384,7 +1384,7 @@ variable {N : Type _} [AddCommMonoid N] [Module A N] [Module R N] [IsScalarTower
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (A : Type.{u2}) [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6)))) r m) (SMul.smul.{u2, u3} A M (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) r) m)
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (A : Type.{u1}) [_inst_2 : Semiring.{u1} A] [_inst_3 : Algebra.{u2, u1} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u1, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u2, u1, u3} R A M (Algebra.toSMul.{u2, u1} R A _inst_1 _inst_2 _inst_3) (SMulZeroClass.toSMul.{u1, u3} A M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} A M (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} A M (Semiring.toMonoidWithZero.{u1} A _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toSMul.{u2, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (HSMul.hSMul.{u2, u3, u3} R M M (instHSMul.{u2, u3} R M (SMulZeroClass.toSMul.{u2, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_6))))) r m) (HSMul.hSMul.{u1, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) M M (instHSMul.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) M (SMulZeroClass.toSMul.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) M (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) M (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) M _inst_2 _inst_4 _inst_5))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2))))) (algebraMap.{u2, u1} R A _inst_1 _inst_2 _inst_3) r) m)
+  forall {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (A : Type.{u1}) [_inst_2 : Semiring.{u1} A] [_inst_3 : Algebra.{u2, u1} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u1, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u2, u1, u3} R A M (Algebra.toSMul.{u2, u1} R A _inst_1 _inst_2 _inst_3) (SMulZeroClass.toSMul.{u1, u3} A M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} A M (MonoidWithZero.toZero.{u1} A (Semiring.toMonoidWithZero.{u1} A _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} A M (Semiring.toMonoidWithZero.{u1} A _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toSMul.{u2, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (HSMul.hSMul.{u2, u3, u3} R M M (instHSMul.{u2, u3} R M (SMulZeroClass.toSMul.{u2, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4 _inst_6))))) r m) (HSMul.hSMul.{u1, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M M (instHSMul.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M (SMulZeroClass.toSMul.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M _inst_2 _inst_4 _inst_5))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2) (RingHom.instRingHomClassRingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u1} A _inst_2))))) (algebraMap.{u2, u1} R A _inst_1 _inst_2 _inst_3) r) m)
 Case conversion may be inaccurate. Consider using '#align algebra_compatible_smul algebra_compatible_smulₓ'. -/
 theorem algebra_compatible_smul (r : R) (m : M) : r • m = (algebraMap R A) r • m := by
   rw [← one_smul A m, ← smul_assoc, Algebra.smul_def, mul_one, one_smul]
@@ -1394,7 +1394,7 @@ theorem algebra_compatible_smul (r : R) (m : M) : r • m = (algebraMap R A) r 
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (A : Type.{u2}) [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (SMul.smul.{u2, u3} A M (SMulZeroClass.toHasSmul.{u2, u3} A M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u2, u3} A M (MulZeroClass.toHasZero.{u2} A (MulZeroOneClass.toMulZeroClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (fun (_x : RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) => R -> A) (RingHom.hasCoeToFun.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) r) m) (SMul.smul.{u1, u3} R M (SMulZeroClass.toHasSmul.{u1, u3} R M (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4))) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6)))) r m)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (A : Type.{u2}) [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_2 _inst_3) (SMulZeroClass.toSMul.{u2, u3} A M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (HSMul.hSMul.{u2, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) M M (instHSMul.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) M (SMulZeroClass.toSMul.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) M (MonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) (Semiring.toMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) M (Semiring.toMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) r) M _inst_2 _inst_4 _inst_5))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) r) m) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))) r m)
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (A : Type.{u2}) [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] {M : Type.{u3}} [_inst_4 : AddCommMonoid.{u3} M] [_inst_5 : Module.{u2, u3} A M _inst_2 _inst_4] [_inst_6 : Module.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4] [_inst_7 : IsScalarTower.{u1, u2, u3} R A M (Algebra.toSMul.{u1, u2} R A _inst_1 _inst_2 _inst_3) (SMulZeroClass.toSMul.{u2, u3} A M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} A M (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} A M (Semiring.toMonoidWithZero.{u2} A _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} A M _inst_2 _inst_4 _inst_5)))) (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))] (r : R) (m : M), Eq.{succ u3} M (HSMul.hSMul.{u2, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M M (instHSMul.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M (SMulZeroClass.toSMul.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M (MonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) (Semiring.toMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_2)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M (Semiring.toMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) _inst_2) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u2, u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) r) M _inst_2 _inst_4 _inst_5))))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => A) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2)) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (algebraMap.{u1, u2} R A _inst_1 _inst_2 _inst_3) r) m) (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_4)) (Module.toMulActionWithZero.{u1, u3} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_4 _inst_6))))) r m)
 Case conversion may be inaccurate. Consider using '#align algebra_map_smul algebraMap_smulₓ'. -/
 @[simp]
 theorem algebraMap_smul (r : R) (m : M) : (algebraMap R A) r • m = r • m :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/195fcd60ff2bfe392543bceb0ec2adcdb472db4c

@@ -1435,20 +1435,20 @@ theorem NoZeroSMulDivisors.trans (R A M : Type _) [CommRing R] [Ring A] [IsDomai
 
 variable {A}
 
-#print IsScalarTower.to_sMulCommClass /-
+#print IsScalarTower.to_smulCommClass /-
 -- see Note [lower instance priority]
-instance (priority := 100) IsScalarTower.to_sMulCommClass : SMulCommClass R A M :=
+instance (priority := 100) IsScalarTower.to_smulCommClass : SMulCommClass R A M :=
   ⟨fun r a m => by
     rw [algebra_compatible_smul A r (a • m), smul_smul, Algebra.commutes, mul_smul, ←
       algebra_compatible_smul]⟩
-#align is_scalar_tower.to_smul_comm_class IsScalarTower.to_sMulCommClass
+#align is_scalar_tower.to_smul_comm_class IsScalarTower.to_smulCommClass
 -/
 
-#print IsScalarTower.to_sMulCommClass' /-
+#print IsScalarTower.to_smulCommClass' /-
 -- see Note [lower instance priority]
-instance (priority := 100) IsScalarTower.to_sMulCommClass' : SMulCommClass A R M :=
+instance (priority := 100) IsScalarTower.to_smulCommClass' : SMulCommClass A R M :=
   SMulCommClass.symm _ _ _
-#align is_scalar_tower.to_smul_comm_class' IsScalarTower.to_sMulCommClass'
+#align is_scalar_tower.to_smul_comm_class' IsScalarTower.to_smulCommClass'
 -/
 
 #print smul_algebra_smul_comm /-
@@ -1499,7 +1499,7 @@ theorem coe_restrictScalars (f : M →ₗ[A] N) : ((f : M →ₗ[R] N) : M → N
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommRing.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))], LinearMap.{u3, u3, max u2 u3, max u2 u3} A A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15)))))) (LinearMap.module.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (Semiring.toModule.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))) (LinearMap.ltoFun._proof_1.{u1, u3} R A _inst_12 _inst_15 _inst_16)) (Pi.Function.module.{u2, u3, u3} M A A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) (Semiring.toModule.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))))
 but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommSemiring.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15)], LinearMap.{u3, u3, max u3 u2, max u2 u3} A A (CommSemiring.toSemiring.{u3} A _inst_15) (CommSemiring.toSemiring.{u3} A _inst_15) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (CommSemiring.toSemiring.{u3} A _inst_15) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (IsScalarTower.to_sMulCommClass.{u1, u3, u3} R _inst_12 A (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (IsScalarTower.right.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16))) (Pi.module.{u2, u3, u3} M (fun (a._@.Mathlib.Algebra.Algebra.Basic._hyg.6547 : M) => A) A (CommSemiring.toSemiring.{u3} A _inst_15) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (fun (i : M) => Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))
+  forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommSemiring.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15)], LinearMap.{u3, u3, max u3 u2, max u2 u3} A A (CommSemiring.toSemiring.{u3} A _inst_15) (CommSemiring.toSemiring.{u3} A _inst_15) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (CommSemiring.toSemiring.{u3} A _inst_15) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (IsScalarTower.to_smulCommClass.{u1, u3, u3} R _inst_12 A (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (IsScalarTower.right.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16))) (Pi.module.{u2, u3, u3} M (fun (a._@.Mathlib.Algebra.Algebra.Basic._hyg.6547 : M) => A) A (CommSemiring.toSemiring.{u3} A _inst_15) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (fun (i : M) => Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))
 Case conversion may be inaccurate. Consider using '#align linear_map.lto_fun LinearMap.ltoFunₓ'. -/
 /-- `A`-linearly coerce a `R`-linear map from `M` to `A` to a function, given an algebra `A` over
 a commutative semiring `R` and `M` a module over `R`. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/3ade05ac9447ae31a22d2ea5423435e054131240

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
 
 ! This file was ported from Lean 3 source module algebra.algebra.basic
-! leanprover-community/mathlib commit 4ea65cad5ad088877e021da13201d55a93c92366
+! leanprover-community/mathlib commit 23aa88e32dcc9d2a24cca7bc23268567ed4cd7d6
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -22,6 +22,9 @@ import Mathbin.Tactic.Abel
 /-!
 # Algebras over commutative semirings
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we define associative unital `algebra`s over commutative (semi)rings, algebra
 homomorphisms `alg_hom`, and algebra equivalences `alg_equiv`.
 

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

@@ -280,11 +280,11 @@ section FieldDivisionRing
 
 variable (R A : Type _) [Field R] [DivisionRing A] [Algebra R A]
 
-#print algebraMap.coe_rat_cast /-
+#print algebraMap.coe_ratCast /-
 @[norm_cast]
-theorem coe_rat_cast (q : ℚ) : ↑(q : R) = (q : A) :=
+theorem coe_ratCast (q : ℚ) : ↑(q : R) = (q : A) :=
   map_ratCast (algebraMap R A) q
-#align algebra_map.coe_rat_cast algebraMap.coe_rat_cast
+#align algebra_map.coe_rat_cast algebraMap.coe_ratCast
 -/
 
 end FieldDivisionRing
@@ -1398,16 +1398,16 @@ theorem algebraMap_smul (r : R) (m : M) : (algebraMap R A) r • m = r • m :=
   (algebra_compatible_smul A r m).symm
 #align algebra_map_smul algebraMap_smul
 
-/- warning: int_cast_smul -> int_cast_smul is a dubious translation:
+/- warning: int_cast_smul -> intCast_smul is a dubious translation:
 lean 3 declaration is
   forall {k : Type.{u1}} {V : Type.{u2}} [_inst_12 : CommRing.{u1} k] [_inst_13 : AddCommGroup.{u2} V] [_inst_14 : Module.{u1, u2} k V (Ring.toSemiring.{u1} k (CommRing.toRing.{u1} k _inst_12)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_13)] (r : Int) (x : V), Eq.{succ u2} V (SMul.smul.{u1, u2} k V (SMulZeroClass.toHasSmul.{u1, u2} k V (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_13)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k V (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (CommRing.toRing.{u1} k _inst_12)))))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_13)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k V (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (CommRing.toRing.{u1} k _inst_12))) (AddZeroClass.toHasZero.{u2} V (AddMonoid.toAddZeroClass.{u2} V (AddCommMonoid.toAddMonoid.{u2} V (AddCommGroup.toAddCommMonoid.{u2} V _inst_13)))) (Module.toMulActionWithZero.{u1, u2} k V (Ring.toSemiring.{u1} k (CommRing.toRing.{u1} k _inst_12)) (AddCommGroup.toAddCommMonoid.{u2} V _inst_13) _inst_14)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Int k (HasLiftT.mk.{1, succ u1} Int k (CoeTCₓ.coe.{1, succ u1} Int k (Int.castCoe.{u1} k (AddGroupWithOne.toHasIntCast.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (CommRing.toRing.{u1} k _inst_12))))))) r) x) (SMul.smul.{0, u2} Int V (SubNegMonoid.SMulInt.{u2} V (AddGroup.toSubNegMonoid.{u2} V (AddCommGroup.toAddGroup.{u2} V _inst_13))) r x)
 but is expected to have type
   forall {k : Type.{u2}} {V : Type.{u1}} [_inst_12 : CommRing.{u2} k] [_inst_13 : AddCommGroup.{u1} V] [_inst_14 : Module.{u2, u1} k V (Ring.toSemiring.{u2} k (CommRing.toRing.{u2} k _inst_12)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_13)] (r : Int) (x : V), Eq.{succ u1} V (HSMul.hSMul.{u2, u1, u1} k V V (instHSMul.{u2, u1} k V (SMulZeroClass.toSMul.{u2, u1} k V (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_13))))) (SMulWithZero.toSMulZeroClass.{u2, u1} k V (CommMonoidWithZero.toZero.{u2} k (CommSemiring.toCommMonoidWithZero.{u2} k (CommRing.toCommSemiring.{u2} k _inst_12))) (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_13))))) (MulActionWithZero.toSMulWithZero.{u2, u1} k V (Semiring.toMonoidWithZero.{u2} k (Ring.toSemiring.{u2} k (CommRing.toRing.{u2} k _inst_12))) (NegZeroClass.toZero.{u1} V (SubNegZeroMonoid.toNegZeroClass.{u1} V (SubtractionMonoid.toSubNegZeroMonoid.{u1} V (SubtractionCommMonoid.toSubtractionMonoid.{u1} V (AddCommGroup.toDivisionAddCommMonoid.{u1} V _inst_13))))) (Module.toMulActionWithZero.{u2, u1} k V (Ring.toSemiring.{u2} k (CommRing.toRing.{u2} k _inst_12)) (AddCommGroup.toAddCommMonoid.{u1} V _inst_13) _inst_14))))) (Int.cast.{u2} k (Ring.toIntCast.{u2} k (CommRing.toRing.{u2} k _inst_12)) r) x) (HSMul.hSMul.{0, u1, u1} Int V V (instHSMul.{0, u1} Int V (SubNegMonoid.SMulInt.{u1} V (AddGroup.toSubNegMonoid.{u1} V (AddCommGroup.toAddGroup.{u1} V _inst_13)))) r x)
-Case conversion may be inaccurate. Consider using '#align int_cast_smul int_cast_smulₓ'. -/
-theorem int_cast_smul {k V : Type _} [CommRing k] [AddCommGroup V] [Module k V] (r : ℤ) (x : V) :
+Case conversion may be inaccurate. Consider using '#align int_cast_smul intCast_smulₓ'. -/
+theorem intCast_smul {k V : Type _} [CommRing k] [AddCommGroup V] [Module k V] (r : ℤ) (x : V) :
     (r : k) • x = r • x :=
   algebraMap_smul k r x
-#align int_cast_smul int_cast_smul
+#align int_cast_smul intCast_smul
 
 /- warning: no_zero_smul_divisors.trans -> NoZeroSMulDivisors.trans is a dubious translation:
 lean 3 declaration is
@@ -1441,11 +1441,11 @@ instance (priority := 100) IsScalarTower.to_sMulCommClass : SMulCommClass R A M
 #align is_scalar_tower.to_smul_comm_class IsScalarTower.to_sMulCommClass
 -/
 
-#print IsScalarTower.to_smul_comm_class' /-
+#print IsScalarTower.to_sMulCommClass' /-
 -- see Note [lower instance priority]
-instance (priority := 100) IsScalarTower.to_smul_comm_class' : SMulCommClass A R M :=
+instance (priority := 100) IsScalarTower.to_sMulCommClass' : SMulCommClass A R M :=
   SMulCommClass.symm _ _ _
-#align is_scalar_tower.to_smul_comm_class' IsScalarTower.to_smul_comm_class'
+#align is_scalar_tower.to_smul_comm_class' IsScalarTower.to_sMulCommClass'
 -/
 
 #print smul_algebra_smul_comm /-
@@ -1496,7 +1496,7 @@ theorem coe_restrictScalars (f : M →ₗ[A] N) : ((f : M →ₗ[R] N) : M → N
 lean 3 declaration is
   forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommRing.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))], LinearMap.{u3, u3, max u2 u3, max u2 u3} A A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15)))))) (LinearMap.module.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (Semiring.toModule.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))) (LinearMap.ltoFun._proof_1.{u1, u3} R A _inst_12 _inst_15 _inst_16)) (Pi.Function.module.{u2, u3, u3} M A A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15)) (AddCommGroup.toAddCommMonoid.{u3} A (NonUnitalNonAssocRing.toAddCommGroup.{u3} A (NonAssocRing.toNonUnitalNonAssocRing.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_15))))) (Semiring.toModule.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_15))))
 but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommSemiring.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15)], LinearMap.{u3, u3, max u3 u2, max u2 u3} A A (CommSemiring.toSemiring.{u3} A _inst_15) (CommSemiring.toSemiring.{u3} A _inst_15) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (CommSemiring.toSemiring.{u3} A _inst_15) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (IsScalarTower.to_sMulCommClass.{u1, u3, u3} R _inst_12 A (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (IsScalarTower.right.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16))) (Pi.module.{u2, u3, u3} M (fun (a._@.Mathlib.Algebra.Algebra.Basic._hyg.6549 : M) => A) A (CommSemiring.toSemiring.{u3} A _inst_15) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (fun (i : M) => Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))
+  forall (R : Type.{u1}) (M : Type.{u2}) (A : Type.{u3}) [_inst_12 : CommSemiring.{u1} R] [_inst_13 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13] [_inst_15 : CommSemiring.{u3} A] [_inst_16 : Algebra.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15)], LinearMap.{u3, u3, max u3 u2, max u2 u3} A A (CommSemiring.toSemiring.{u3} A _inst_15) (CommSemiring.toSemiring.{u3} A _inst_15) (RingHom.id.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) M A _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16)) (M -> A) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12)))) (Pi.addCommMonoid.{u2, u3} M (fun (ᾰ : M) => A) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u3} R R A M A (CommSemiring.toSemiring.{u1} R _inst_12) (CommSemiring.toSemiring.{u1} R _inst_12) _inst_13 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) _inst_14 (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_12))) (CommSemiring.toSemiring.{u3} A _inst_15) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (IsScalarTower.to_sMulCommClass.{u1, u3, u3} R _inst_12 A (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)) (Algebra.toModule.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16) (IsScalarTower.right.{u1, u3} R A _inst_12 (CommSemiring.toSemiring.{u3} A _inst_15) _inst_16))) (Pi.module.{u2, u3, u3} M (fun (a._@.Mathlib.Algebra.Algebra.Basic._hyg.6547 : M) => A) A (CommSemiring.toSemiring.{u3} A _inst_15) (fun (i : M) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))) (fun (i : M) => Semiring.toModule.{u3} A (CommSemiring.toSemiring.{u3} A _inst_15)))
 Case conversion may be inaccurate. Consider using '#align linear_map.lto_fun LinearMap.ltoFunₓ'. -/
 /-- `A`-linearly coerce a `R`-linear map from `M` to `A` to a function, given an algebra `A` over
 a commutative semiring `R` and `M` a module over `R`. -/

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

Splits Algebra.Algebra.Defs off Algebra.Algebra.Basic. Most imports only need the Defs file, which has significantly smaller imports. The remaining Algebra.Algebra.Basic is now a grab-bag of unrelated results, and should probably be split further or rehomed.

This is mostly motivated by the wasted effort during minimization upon encountering Algebra.Algebra.Basic.

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

Splits Algebra.Algebra.Defs off Algebra.Algebra.Basic. Most imports only need the Defs file, which has significantly smaller imports. The remaining Algebra.Algebra.Basic is now a grab-bag of unrelated results, and should probably be split further or rehomed.

This is mostly motivated by the wasted effort during minimization upon encountering Algebra.Algebra.Basic.

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

@@ -3,6 +3,7 @@ Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
 -/
+import Mathlib.Algebra.Algebra.Defs
 import Mathlib.Algebra.CharZero.Lemmas
 import Mathlib.Algebra.Module.Submodule.Ker
 import Mathlib.Algebra.Module.Submodule.RestrictScalars
@@ -12,458 +13,22 @@ import Mathlib.RingTheory.Subring.Basic
 #align_import algebra.algebra.basic from "leanprover-community/mathlib"@"36b8aa61ea7c05727161f96a0532897bd72aedab"
 
 /-!
-# Algebras over commutative semirings
-
-In this file we define associative unital `Algebra`s over commutative (semi)rings.
-
-* algebra homomorphisms `AlgHom` are defined in `Mathlib.Algebra.Algebra.Hom`;
-
-* algebra equivalences `AlgEquiv` are defined in `Mathlib.Algebra.Algebra.Equiv`;
-
-* `Subalgebra`s are defined in `Mathlib.Algebra.Algebra.Subalgebra`;
-
-* The category `AlgebraCat R` of `R`-algebras is defined in the file
-  `Mathlib.Algebra.Category.Algebra.Basic`.
-
-See the implementation notes for remarks about non-associative and non-unital algebras.
-
-## Main definitions:
-
-* `Algebra R A`: the algebra typeclass.
-* `algebraMap R A : R →+* A`: the canonical map from `R` to `A`, as a `RingHom`. This is the
-  preferred spelling of this map, it is also available as:
-  * `Algebra.linearMap R A : R →ₗ[R] A`, a `LinearMap`.
-  * `Algebra.ofId R A : R →ₐ[R] A`, an `AlgHom` (defined in a later file).
-* Instances of `Algebra` in this file:
-  * `Algebra.id`
-  * `algebraNat`
-  * `algebraInt`
-  * `algebraRat`
-  * `Module.End.instAlgebra`
-
-## Implementation notes
-
-Given a commutative (semi)ring `R`, there are two ways to define an `R`-algebra structure on a
-(possibly noncommutative) (semi)ring `A`:
-* By endowing `A` with a morphism of rings `R →+* A` denoted `algebraMap R A` which lands in the
-  center of `A`.
-* By requiring `A` be an `R`-module such that the action associates and commutes with multiplication
-  as `r • (a₁ * a₂) = (r • a₁) * a₂ = a₁ * (r • a₂)`.
-
-We define `Algebra R A` in a way that subsumes both definitions, by extending `SMul R A` and
-requiring that this scalar action `r • x` must agree with left multiplication by the image of the
-structure morphism `algebraMap R A r * x`.
-
-As a result, there are two ways to talk about an `R`-algebra `A` when `A` is a semiring:
-1. ```lean
-   variable [CommSemiring R] [Semiring A]
-   variable [Algebra R A]
-   ```
-2. ```lean
-   variable [CommSemiring R] [Semiring A]
-   variable [Module R A] [SMulCommClass R A A] [IsScalarTower R A A]
-   ```
-
-The first approach implies the second via typeclass search; so any lemma stated with the second set
-of arguments will automatically apply to the first set. Typeclass search does not know that the
-second approach implies the first, but this can be shown with:
-```lean
-example {R A : Type*} [CommSemiring R] [Semiring A]
-  [Module R A] [SMulCommClass R A A] [IsScalarTower R A A] : Algebra R A :=
-Algebra.ofModule smul_mul_assoc mul_smul_comm
-```
-
-The advantage of the first approach is that `algebraMap R A` is available, and `AlgHom R A B` and
-`Subalgebra R A` can be used. For concrete `R` and `A`, `algebraMap R A` is often definitionally
-convenient.
-
-The advantage of the second approach is that `CommSemiring R`, `Semiring A`, and `Module R A` can
-all be relaxed independently; for instance, this allows us to:
-* Replace `Semiring A` with `NonUnitalNonAssocSemiring A` in order to describe non-unital and/or
-  non-associative algebras.
-* Replace `CommSemiring R` and `Module R A` with `CommGroup R'` and `DistribMulAction R' A`,
-  which when `R' = Rˣ` lets us talk about the "algebra-like" action of `Rˣ` on an
-  `R`-algebra `A`.
-
-While `AlgHom R A B` cannot be used in the second approach, `NonUnitalAlgHom R A B` still can.
-
-You should always use the first approach when working with associative unital algebras, and mimic
-the second approach only when you need to weaken a condition on either `R` or `A`.
+# Further basic results about `Algebra`.
 
+This file could usefully be split further.
 -/
 
 universe u v w u₁ v₁
 
-section Prio
-
--- We set this priority to 0 later in this file
--- Porting note: unsupported set_option extends_priority 200
-
-/- control priority of
-`instance [Algebra R A] : SMul R A` -/
-/-- An associative unital `R`-algebra is a semiring `A` equipped with a map into its center `R → A`.
-
-See the implementation notes in this file for discussion of the details of this definition.
--/
--- Porting note(#5171): unsupported @[nolint has_nonempty_instance]
-class Algebra (R : Type u) (A : Type v) [CommSemiring R] [Semiring A] extends SMul R A,
-  R →+* A where
-  commutes' : ∀ r x, toRingHom r * x = x * toRingHom r
-  smul_def' : ∀ r x, r • x = toRingHom r * x
-#align algebra Algebra
-
-end Prio
-
-/-- Embedding `R →+* A` given by `Algebra` structure. -/
-def algebraMap (R : Type u) (A : Type v) [CommSemiring R] [Semiring A] [Algebra R A] : R →+* A :=
-  Algebra.toRingHom
-#align algebra_map algebraMap
-
-/-- Coercion from a commutative semiring to an algebra over this semiring. -/
-@[coe] def Algebra.cast {R A : Type*} [CommSemiring R] [Semiring A] [Algebra R A] : R → A :=
-  algebraMap R A
-
-namespace algebraMap
-
-scoped instance coeHTCT (R A : Type*) [CommSemiring R] [Semiring A] [Algebra R A] :
-    CoeHTCT R A :=
-  ⟨Algebra.cast⟩
-#align algebra_map.has_lift_t algebraMap.coeHTCT
-
-section CommSemiringSemiring
-
-variable {R A : Type*} [CommSemiring R] [Semiring A] [Algebra R A]
-
-@[simp, norm_cast]
-theorem coe_zero : (↑(0 : R) : A) = 0 :=
-  map_zero (algebraMap R A)
-#align algebra_map.coe_zero algebraMap.coe_zero
-
-@[simp, norm_cast]
-theorem coe_one : (↑(1 : R) : A) = 1 :=
-  map_one (algebraMap R A)
-#align algebra_map.coe_one algebraMap.coe_one
-
-@[norm_cast]
-theorem coe_add (a b : R) : (↑(a + b : R) : A) = ↑a + ↑b :=
-  map_add (algebraMap R A) a b
-#align algebra_map.coe_add algebraMap.coe_add
-
-@[norm_cast]
-theorem coe_mul (a b : R) : (↑(a * b : R) : A) = ↑a * ↑b :=
-  map_mul (algebraMap R A) a b
-#align algebra_map.coe_mul algebraMap.coe_mul
-
-@[norm_cast]
-theorem coe_pow (a : R) (n : ℕ) : (↑(a ^ n : R) : A) = (a : A) ^ n :=
-  map_pow (algebraMap R A) _ _
-#align algebra_map.coe_pow algebraMap.coe_pow
-
-end CommSemiringSemiring
-
-section CommRingRing
-
-variable {R A : Type*} [CommRing R] [Ring A] [Algebra R A]
-
-@[norm_cast]
-theorem coe_neg (x : R) : (↑(-x : R) : A) = -↑x :=
-  map_neg (algebraMap R A) x
-#align algebra_map.coe_neg algebraMap.coe_neg
-
-end CommRingRing
-
-section CommSemiringCommSemiring
-
-variable {R A : Type*} [CommSemiring R] [CommSemiring A] [Algebra R A]
-
-open BigOperators
-
--- direct to_additive fails because of some mix-up with polynomials
-@[norm_cast]
-theorem coe_prod {ι : Type*} {s : Finset ι} (a : ι → R) :
-    (↑(∏ i : ι in s, a i : R) : A) = ∏ i : ι in s, (↑(a i) : A) :=
-  map_prod (algebraMap R A) a s
-#align algebra_map.coe_prod algebraMap.coe_prod
-
--- to_additive fails for some reason
-@[norm_cast]
-theorem coe_sum {ι : Type*} {s : Finset ι} (a : ι → R) :
-    ↑(∑ i : ι in s, a i) = ∑ i : ι in s, (↑(a i) : A) :=
-  map_sum (algebraMap R A) a s
-#align algebra_map.coe_sum algebraMap.coe_sum
-
--- Porting note: removed attribute [to_additive] coe_prod; why should this be a `to_additive`?
-
-end CommSemiringCommSemiring
-
-section FieldNontrivial
-
-variable {R A : Type*} [Field R] [CommSemiring A] [Nontrivial A] [Algebra R A]
-
-@[norm_cast, simp]
-theorem coe_inj {a b : R} : (↑a : A) = ↑b ↔ a = b :=
-  (algebraMap R A).injective.eq_iff
-#align algebra_map.coe_inj algebraMap.coe_inj
-
-@[norm_cast, simp]
-theorem lift_map_eq_zero_iff (a : R) : (↑a : A) = 0 ↔ a = 0 :=
-  map_eq_zero_iff _ (algebraMap R A).injective
-#align algebra_map.lift_map_eq_zero_iff algebraMap.lift_map_eq_zero_iff
-
-end FieldNontrivial
-
-section SemifieldSemidivisionRing
-
-variable {R : Type*} (A : Type*) [Semifield R] [DivisionSemiring A] [Algebra R A]
-
-@[norm_cast]
-theorem coe_inv (r : R) : ↑r⁻¹ = ((↑r)⁻¹ : A) :=
-  map_inv₀ (algebraMap R A) r
-#align algebra_map.coe_inv algebraMap.coe_inv
-
-@[norm_cast]
-theorem coe_div (r s : R) : ↑(r / s) = (↑r / ↑s : A) :=
-  map_div₀ (algebraMap R A) r s
-#align algebra_map.coe_div algebraMap.coe_div
-
-@[norm_cast]
-theorem coe_zpow (r : R) (z : ℤ) : ↑(r ^ z) = (r : A) ^ z :=
-  map_zpow₀ (algebraMap R A) r z
-#align algebra_map.coe_zpow algebraMap.coe_zpow
-
-end SemifieldSemidivisionRing
-
-section FieldDivisionRing
-
-variable (R A : Type*) [Field R] [DivisionRing A] [Algebra R A]
-
-@[norm_cast]
-theorem coe_ratCast (q : ℚ) : ↑(q : R) = (q : A) := map_ratCast (algebraMap R A) q
-#align algebra_map.coe_rat_cast algebraMap.coe_ratCast
-
-end FieldDivisionRing
-
-end algebraMap
-
-/-- Creating an algebra from a morphism to the center of a semiring. -/
-def RingHom.toAlgebra' {R S} [CommSemiring R] [Semiring S] (i : R →+* S)
-    (h : ∀ c x, i c * x = x * i c) : Algebra R S where
-  smul c x := i c * x
-  commutes' := h
-  smul_def' _ _ := rfl
-  toRingHom := i
-#align ring_hom.to_algebra' RingHom.toAlgebra'
-
-/-- Creating an algebra from a morphism to a commutative semiring. -/
-def RingHom.toAlgebra {R S} [CommSemiring R] [CommSemiring S] (i : R →+* S) : Algebra R S :=
-  i.toAlgebra' fun _ => mul_comm _
-#align ring_hom.to_algebra RingHom.toAlgebra
-
-theorem RingHom.algebraMap_toAlgebra {R S} [CommSemiring R] [CommSemiring S] (i : R →+* S) :
-    @algebraMap R S _ _ i.toAlgebra = i :=
-  rfl
-#align ring_hom.algebra_map_to_algebra RingHom.algebraMap_toAlgebra
-
 namespace Algebra
 
 variable {R : Type u} {S : Type v} {A : Type w} {B : Type*}
 
-/-- Let `R` be a commutative semiring, let `A` be a semiring with a `Module R` structure.
-If `(r • 1) * x = x * (r • 1) = r • x` for all `r : R` and `x : A`, then `A` is an `Algebra`
-over `R`.
-
-See note [reducible non-instances]. -/
-@[reducible]
-def ofModule' [CommSemiring R] [Semiring A] [Module R A]
-    (h₁ : ∀ (r : R) (x : A), r • (1 : A) * x = r • x)
-    (h₂ : ∀ (r : R) (x : A), x * r • (1 : A) = r • x) : Algebra R A where
-  toFun r := r • (1 : A)
-  map_one' := one_smul _ _
-  map_mul' r₁ r₂ := by simp only [h₁, mul_smul]
-  map_zero' := zero_smul _ _
-  map_add' r₁ r₂ := add_smul r₁ r₂ 1
-  commutes' r x := by simp [h₁, h₂]
-  smul_def' r x := by simp [h₁]
-#align algebra.of_module' Algebra.ofModule'
-
-/-- Let `R` be a commutative semiring, let `A` be a semiring with a `Module R` structure.
-If `(r • x) * y = x * (r • y) = r • (x * y)` for all `r : R` and `x y : A`, then `A`
-is an `Algebra` over `R`.
-
-See note [reducible non-instances]. -/
-@[reducible]
-def ofModule [CommSemiring R] [Semiring A] [Module R A]
-    (h₁ : ∀ (r : R) (x y : A), r • x * y = r • (x * y))
-    (h₂ : ∀ (r : R) (x y : A), x * r • y = r • (x * y)) : Algebra R A :=
-  ofModule' (fun r x => by rw [h₁, one_mul]) fun r x => by rw [h₂, mul_one]
-#align algebra.of_module Algebra.ofModule
-
 section Semiring
 
 variable [CommSemiring R] [CommSemiring S]
 variable [Semiring A] [Algebra R A] [Semiring B] [Algebra R B]
 
--- Porting note: deleted a private lemma
-
--- We'll later use this to show `Algebra ℤ M` is a subsingleton.
-/-- To prove two algebra structures on a fixed `[CommSemiring R] [Semiring A]` agree,
-it suffices to check the `algebraMap`s agree.
--/
-@[ext]
-theorem algebra_ext {R : Type*} [CommSemiring R] {A : Type*} [Semiring A] (P Q : Algebra R A)
-    (h : ∀ r : R, (haveI := P; algebraMap R A r) = haveI := Q; algebraMap R A r) :
-    P = Q := by
-  replace h : P.toRingHom = Q.toRingHom := DFunLike.ext _ _ h
-  have h' : (haveI := P; (· • ·) : R → A → A) = (haveI := Q; (· • ·) : R → A → A) := by
-    funext r a
-    rw [P.smul_def', Q.smul_def', h]
-  rcases P with @⟨⟨P⟩⟩
-  rcases Q with @⟨⟨Q⟩⟩
-  congr
-#align algebra.algebra_ext Algebra.algebra_ext
-
--- see Note [lower instance priority]
-instance (priority := 200) toModule : Module R A where
-  one_smul _ := by simp [smul_def']
-  mul_smul := by simp [smul_def', mul_assoc]
-  smul_add := by simp [smul_def', mul_add]
-  smul_zero := by simp [smul_def']
-  add_smul := by simp [smul_def', add_mul]
-  zero_smul := by simp [smul_def']
-#align algebra.to_module Algebra.toModule
-
--- Porting note: this caused deterministic timeouts later in mathlib3 but not in mathlib 4.
--- attribute [instance 0] Algebra.toSMul
-
-theorem smul_def (r : R) (x : A) : r • x = algebraMap R A r * x :=
-  Algebra.smul_def' r x
-#align algebra.smul_def Algebra.smul_def
-
-theorem algebraMap_eq_smul_one (r : R) : algebraMap R A r = r • (1 : A) :=
-  calc
-    algebraMap R A r = algebraMap R A r * 1 := (mul_one _).symm
-    _ = r • (1 : A) := (Algebra.smul_def r 1).symm
-#align algebra.algebra_map_eq_smul_one Algebra.algebraMap_eq_smul_one
-
-theorem algebraMap_eq_smul_one' : ⇑(algebraMap R A) = fun r => r • (1 : A) :=
-  funext algebraMap_eq_smul_one
-#align algebra.algebra_map_eq_smul_one' Algebra.algebraMap_eq_smul_one'
-
-/-- `mul_comm` for `Algebra`s when one element is from the base ring. -/
-theorem commutes (r : R) (x : A) : algebraMap R A r * x = x * algebraMap R A r :=
-  Algebra.commutes' r x
-#align algebra.commutes Algebra.commutes
-
-lemma commute_algebraMap_left (r : R) (x : A) : Commute (algebraMap R A r) x :=
-  Algebra.commutes r x
-
-lemma commute_algebraMap_right (r : R) (x : A) : Commute x (algebraMap R A r) :=
-  (Algebra.commutes r x).symm
-
-/-- `mul_left_comm` for `Algebra`s when one element is from the base ring. -/
-theorem left_comm (x : A) (r : R) (y : A) :
-    x * (algebraMap R A r * y) = algebraMap R A r * (x * y) := by
-  rw [← mul_assoc, ← commutes, mul_assoc]
-#align algebra.left_comm Algebra.left_comm
-
-/-- `mul_right_comm` for `Algebra`s when one element is from the base ring. -/
-theorem right_comm (x : A) (r : R) (y : A) :
-    x * algebraMap R A r * y = x * y * algebraMap R A r := by
-  rw [mul_assoc, commutes, ← mul_assoc]
-#align algebra.right_comm Algebra.right_comm
-
-instance _root_.IsScalarTower.right : IsScalarTower R A A :=
-  ⟨fun x y z => by rw [smul_eq_mul, smul_eq_mul, smul_def, smul_def, mul_assoc]⟩
-#align is_scalar_tower.right IsScalarTower.right
-
-@[simp]
-theorem _root_.RingHom.smulOneHom_eq_algebraMap : RingHom.smulOneHom = algebraMap R A :=
-  RingHom.ext fun r => (algebraMap_eq_smul_one r).symm
-
--- TODO: set up `IsScalarTower.smulCommClass` earlier so that we can actually prove this using
--- `mul_smul_comm s x y`.
-
-/-- This is just a special case of the global `mul_smul_comm` lemma that requires less typeclass
-search (and was here first). -/
-@[simp]
-protected theorem mul_smul_comm (s : R) (x y : A) : x * s • y = s • (x * y) := by
-  rw [smul_def, smul_def, left_comm]
-#align algebra.mul_smul_comm Algebra.mul_smul_comm
-
-/-- This is just a special case of the global `smul_mul_assoc` lemma that requires less typeclass
-search (and was here first). -/
-@[simp]
-protected theorem smul_mul_assoc (r : R) (x y : A) : r • x * y = r • (x * y) :=
-  smul_mul_assoc r x y
-#align algebra.smul_mul_assoc Algebra.smul_mul_assoc
-
-@[simp]
-theorem _root_.smul_algebraMap {α : Type*} [Monoid α] [MulDistribMulAction α A]
-    [SMulCommClass α R A] (a : α) (r : R) : a • algebraMap R A r = algebraMap R A r := by
-  rw [algebraMap_eq_smul_one, smul_comm a r (1 : A), smul_one]
-#align smul_algebra_map smul_algebraMap
-
-section
-
-#noalign algebra.bit0_smul_one
-#noalign algebra.bit0_smul_one'
-#noalign algebra.bit0_smul_bit0
-#noalign algebra.bit0_smul_bit1
-#noalign algebra.bit1_smul_one
-#noalign algebra.bit1_smul_one'
-#noalign algebra.bit1_smul_bit0
-#noalign algebra.bit1_smul_bit1
-
-end
-
-variable (R A)
-
-/-- The canonical ring homomorphism `algebraMap R A : R →+* A` for any `R`-algebra `A`,
-packaged as an `R`-linear map.
--/
-protected def linearMap : R →ₗ[R] A :=
-  { algebraMap R A with map_smul' := fun x y => by simp [Algebra.smul_def] }
-#align algebra.linear_map Algebra.linearMap
-
-@[simp]
-theorem linearMap_apply (r : R) : Algebra.linearMap R A r = algebraMap R A r :=
-  rfl
-#align algebra.linear_map_apply Algebra.linearMap_apply
-
-theorem coe_linearMap : ⇑(Algebra.linearMap R A) = algebraMap R A :=
-  rfl
-#align algebra.coe_linear_map Algebra.coe_linearMap
-
-/-- The identity map inducing an `Algebra` structure. -/
-instance id : Algebra R R where
-  -- We override `toFun` and `toSMul` because `RingHom.id` is not reducible and cannot
-  -- be made so without a significant performance hit.
-  -- see library note [reducible non-instances].
-  toFun x := x
-  toSMul := Mul.toSMul _
-  __ := (RingHom.id R).toAlgebra
-#align algebra.id Algebra.id
-
-variable {R A}
-
-namespace id
-
-@[simp]
-theorem map_eq_id : algebraMap R R = RingHom.id _ :=
-  rfl
-#align algebra.id.map_eq_id Algebra.id.map_eq_id
-
-theorem map_eq_self (x : R) : algebraMap R R x = x :=
-  rfl
-#align algebra.id.map_eq_self Algebra.id.map_eq_self
-
-@[simp]
-theorem smul_eq_mul (x y : R) : x • y = x * y :=
-  rfl
-#align algebra.id.smul_eq_mul Algebra.id.smul_eq_mul
-
-end id
-
 section PUnit
 
 instance _root_.PUnit.algebra : Algebra R PUnit.{v + 1} where

Reference the newly created issues #12094 and #12096, as well as the pre-existing #5171. Change all references to #10927 to #5171. Some of these changes were not labelled as "porting note"; change this for good measure.

@@ -105,7 +105,7 @@ section Prio
 
 See the implementation notes in this file for discussion of the details of this definition.
 -/
--- Porting note: unsupported @[nolint has_nonempty_instance]
+-- Porting note(#5171): unsupported @[nolint has_nonempty_instance]
 class Algebra (R : Type u) (A : Type v) [CommSemiring R] [Semiring A] extends SMul R A,
   R →+* A where
   commutes' : ∀ r x, toRingHom r * x = x * toRingHom r

All of these changes appear to be oversights to me.

@@ -434,7 +434,7 @@ theorem coe_linearMap : ⇑(Algebra.linearMap R A) = algebraMap R A :=
   rfl
 #align algebra.coe_linear_map Algebra.coe_linearMap
 
-/- The identity map inducing an `Algebra` structure. -/
+/-- The identity map inducing an `Algebra` structure. -/
 instance id : Algebra R R where
   -- We override `toFun` and `toSMul` because `RingHom.id` is not reducible and cannot
   -- be made so without a significant performance hit.

See https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/very.20slow.20instance.20synthesis/near/431682092. With the change,

import Mathlib

set_option trace.profiler true in
noncomputable example : FiniteDimensional ℝ (ℂ × ℂ →L[ℂ] ℂ) := by
  infer_instance

goes down from 3.7s to 1.0s on my computer.

@@ -865,14 +865,16 @@ theorem NoZeroSMulDivisors.trans (R A M : Type*) [CommRing R] [Ring A] [IsDomain
 variable {A}
 
 -- see Note [lower instance priority]
-instance (priority := 100) IsScalarTower.to_smulCommClass : SMulCommClass R A M :=
+-- priority manually adjusted in #11980, as it is a very common path
+instance (priority := 120) IsScalarTower.to_smulCommClass : SMulCommClass R A M :=
   ⟨fun r a m => by
     rw [algebra_compatible_smul A r (a • m), smul_smul, Algebra.commutes, mul_smul, ←
       algebra_compatible_smul]⟩
 #align is_scalar_tower.to_smul_comm_class IsScalarTower.to_smulCommClass
 
 -- see Note [lower instance priority]
-instance (priority := 100) IsScalarTower.to_smulCommClass' : SMulCommClass A R M :=
+-- priority manually adjusted in #11980, as it is a very common path
+instance (priority := 110) IsScalarTower.to_smulCommClass' : SMulCommClass A R M :=
   SMulCommClass.symm _ _ _
 #align is_scalar_tower.to_smul_comm_class' IsScalarTower.to_smulCommClass'
 

This renames

• Int.cast_ofNat to Int.cast_natCast
• Int.int_cast_ofNat to Int.cast_ofNat

I think the history here is that this lemma was previously about Int.ofNat, before we globally fixed the simp-normal form to be Nat.cast.

Since the Int.cast_ofNat name is repurposed, it can't be deprecated. Int.int_cast_ofNat is such a wonky name that it was probably never used.

@@ -592,7 +592,7 @@ def semiringToRing [Semiring A] [Algebra R A] : Ring A :=
   { __ := (inferInstance : Semiring A)
     __ := Module.addCommMonoidToAddCommGroup R
     intCast := fun z => algebraMap R A z
-    intCast_ofNat := fun z => by simp only [Int.cast_ofNat, map_natCast]
+    intCast_ofNat := fun z => by simp only [Int.cast_natCast, map_natCast]
     intCast_negSucc := fun z => by simp }
 #align algebra.semiring_to_ring Algebra.semiringToRing
 

Soon, there will be NNRat analogs of the Rat fields in the definition of Field. NNRat is less nicely a structure than Rat, hence there is a need to reduce the dependency of Field on the internals of Rat.

This PR achieves this by restating Field.ratCast_mk' in terms of Rat.num, Rat.den. This requires fixing a few downstream instances.

Reduce the diff of #11203.

Co-authored-by: Floris van Doorn <fpvdoorn@gmail.com>

@@ -715,7 +715,7 @@ section Rat
 
 instance algebraRat {α} [DivisionRing α] [CharZero α] : Algebra ℚ α where
   smul := (· • ·)
-  smul_def' := DivisionRing.qsmul_eq_mul'
+  smul_def' := Rat.smul_def
   toRingHom := Rat.castHom α
   commutes' := Rat.cast_commute
 #align algebra_rat algebraRat

Could we have an open linter, that checked for unused opened namespaces?

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

@@ -94,8 +94,6 @@ the second approach only when you need to weaken a condition on either `R` or `A
 
 universe u v w u₁ v₁
 
-open BigOperators
-
 section Prio
 
 -- We set this priority to 0 later in this file

We change the following field in the definition of an additive commutative monoid:

 nsmul_succ : ∀ (n : ℕ) (x : G),
-  AddMonoid.nsmul (n + 1) x = x + AddMonoid.nsmul n x
+  AddMonoid.nsmul (n + 1) x = AddMonoid.nsmul n x + x

where the latter is more natural

We adjust the definitions of ^ in monoids, groups, etc. Originally there was a warning comment about why this natural order was preferred

use x * npowRec n x and not npowRec n x * x in the definition to make sure that definitional unfolding of npowRec is blocked, to avoid deep recursion issues.

but it seems to no longer apply.

Remarks on the PR :

• pow_succ and pow_succ' have switched their meanings.
• Most of the time, the proofs were adjusted by priming/unpriming one lemma, or exchanging left and right; a few proofs were more complicated to adjust.
• In particular, [Mathlib/NumberTheory/RamificationInertia.lean] used Ideal.IsPrime.mul_mem_pow which is defined in [Mathlib/RingTheory/DedekindDomain/Ideal.lean]. Changing the order of operation forced me to add the symmetric lemma Ideal.IsPrime.mem_pow_mul.
• the docstring for Cauchy condensation test in [Mathlib/Analysis/PSeries.lean] was mathematically incorrect, I added the mention that the function is antitone.

@@ -577,7 +577,7 @@ theorem mul_sub_algebraMap_pow_commutes [Ring A] [Algebra R A] (x : A) (r : R) (
     x * (x - algebraMap R A r) ^ n = (x - algebraMap R A r) ^ n * x := by
   induction' n with n ih
   · simp
-  · rw [pow_succ, ← mul_assoc, mul_sub_algebraMap_commutes, mul_assoc, ih, ← mul_assoc]
+  · rw [pow_succ', ← mul_assoc, mul_sub_algebraMap_commutes, mul_assoc, ih, ← mul_assoc]
 #align algebra.mul_sub_algebra_map_pow_commutes Algebra.mul_sub_algebraMap_pow_commutes
 
 end CommSemiring

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)

@@ -585,7 +585,6 @@ end CommSemiring
 section Ring
 
 variable [CommRing R]
-
 variable (R)
 
 /-- A `Semiring` that is an `Algebra` over a commutative ring carries a natural `Ring` structure.

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

@@ -896,7 +896,7 @@ variable (R)
 #align linear_map.coe_restrict_scalars_eq_coe LinearMap.coe_restrictScalars
 #align linear_map.coe_coe_is_scalar_tower LinearMap.coe_restrictScalars
 
--- Porting note: todo: generalize to `CompatibleSMul`
+-- Porting note (#11215): TODO: generalize to `CompatibleSMul`
 /-- `A`-linearly coerce an `R`-linear map from `M` to `A` to a function, given an algebra `A` over
 a commutative semiring `R` and `M` a module over `R`. -/
 def ltoFun (R : Type u) (M : Type v) (A : Type w) [CommSemiring R] [AddCommMonoid M] [Module R M]

This is a very large PR, but it has been reviewed piecemeal already in PRs to the bump/v4.7.0 branch as we update to intermediate nightlies.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Kyle Miller <kmill31415@gmail.com> Co-authored-by: damiano <adomani@gmail.com>

@@ -592,7 +592,8 @@ variable (R)
 See note [reducible non-instances]. -/
 @[reducible]
 def semiringToRing [Semiring A] [Algebra R A] : Ring A :=
-  { Module.addCommMonoidToAddCommGroup R, (inferInstance : Semiring A) with
+  { __ := (inferInstance : Semiring A)
+    __ := Module.addCommMonoidToAddCommGroup R
     intCast := fun z => algebraMap R A z
     intCast_ofNat := fun z => by simp only [Int.cast_ofNat, map_natCast]
     intCast_negSucc := fun z => by simp }

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".

@@ -99,7 +99,7 @@ open BigOperators
 section Prio
 
 -- We set this priority to 0 later in this file
--- porting note: unsupported set_option extends_priority 200
+-- Porting note: unsupported set_option extends_priority 200
 
 /- control priority of
 `instance [Algebra R A] : SMul R A` -/
@@ -107,7 +107,7 @@ section Prio
 
 See the implementation notes in this file for discussion of the details of this definition.
 -/
--- porting note: unsupported @[nolint has_nonempty_instance]
+-- Porting note: unsupported @[nolint has_nonempty_instance]
 class Algebra (R : Type u) (A : Type v) [CommSemiring R] [Semiring A] extends SMul R A,
   R →+* A where
   commutes' : ∀ r x, toRingHom r * x = x * toRingHom r
@@ -194,7 +194,7 @@ theorem coe_sum {ι : Type*} {s : Finset ι} (a : ι → R) :
   map_sum (algebraMap R A) a s
 #align algebra_map.coe_sum algebraMap.coe_sum
 
--- porting note: removed attribute [to_additive] coe_prod; why should this be a `to_additive`?
+-- Porting note: removed attribute [to_additive] coe_prod; why should this be a `to_additive`?
 
 end CommSemiringCommSemiring
 
@@ -305,7 +305,7 @@ section Semiring
 variable [CommSemiring R] [CommSemiring S]
 variable [Semiring A] [Algebra R A] [Semiring B] [Algebra R B]
 
--- porting note: deleted a private lemma
+-- Porting note: deleted a private lemma
 
 -- We'll later use this to show `Algebra ℤ M` is a subsingleton.
 /-- To prove two algebra structures on a fixed `[CommSemiring R] [Semiring A]` agree,
@@ -334,7 +334,7 @@ instance (priority := 200) toModule : Module R A where
   zero_smul := by simp [smul_def']
 #align algebra.to_module Algebra.toModule
 
--- porting note: this caused deterministic timeouts later in mathlib3 but not in mathlib 4.
+-- Porting note: this caused deterministic timeouts later in mathlib3 but not in mathlib 4.
 -- attribute [instance 0] Algebra.toSMul
 
 theorem smul_def (r : R) (x : A) : r • x = algebraMap R A r * x :=
@@ -530,7 +530,7 @@ theorem algebraMap_ofSubsemiring_apply (S : Subsemiring R) (x : S) : algebraMap
 
 /-- Algebra over a subring. This builds upon `Subring.module`. -/
 instance ofSubring {R A : Type*} [CommRing R] [Ring A] [Algebra R A] (S : Subring R) :
-    Algebra S A where -- porting note: don't use `toSubsemiring` because of a timeout
+    Algebra S A where -- Porting note: don't use `toSubsemiring` because of a timeout
   toRingHom := (algebraMap R A).comp S.subtype
   smul := (· • ·)
   commutes' r x := Algebra.commutes (r : R) x
@@ -703,7 +703,7 @@ namespace RingHom
 
 variable {R S : Type*}
 
--- porting note: changed `[Ring R] [Ring S]` to `[Semiring R] [Semiring S]`
+-- Porting note: changed `[Ring R] [Ring S]` to `[Semiring R] [Semiring S]`
 -- otherwise, Lean failed to find a `Subsingleton (ℚ →+* S)` instance
 @[simp]
 theorem map_rat_algebraMap [Semiring R] [Semiring S] [Algebra ℚ R] [Algebra ℚ S] (f : R →+* S)
@@ -895,7 +895,7 @@ variable (R)
 #align linear_map.coe_restrict_scalars_eq_coe LinearMap.coe_restrictScalars
 #align linear_map.coe_coe_is_scalar_tower LinearMap.coe_restrictScalars
 
--- porting note: todo: generalize to `CompatibleSMul`
+-- Porting note: todo: generalize to `CompatibleSMul`
 /-- `A`-linearly coerce an `R`-linear map from `M` to `A` to a function, given an algebra `A` over
 a commutative semiring `R` and `M` a module over `R`. -/
 def ltoFun (R : Type u) (M : Type v) (A : Type w) [CommSemiring R] [AddCommMonoid M] [Module R M]

I changed Lean's 3 old "variables" command to Lean's 4 command "variable" in some implementation notes. I might have missed some

Co-authored-by: Omar Mohsen <36500353+OmarMohsenGit@users.noreply.github.com>

@@ -56,12 +56,12 @@ structure morphism `algebraMap R A r * x`.
 
 As a result, there are two ways to talk about an `R`-algebra `A` when `A` is a semiring:
 1. ```lean
-   variables [CommSemiring R] [Semiring A]
-   variables [Algebra R A]
+   variable [CommSemiring R] [Semiring A]
+   variable [Algebra R A]
    ```
 2. ```lean
-   variables [CommSemiring R] [Semiring A]
-   variables [Module R A] [SMulCommClass R A A] [IsScalarTower R A A]
+   variable [CommSemiring R] [Semiring A]
+   variable [Module R A] [SMulCommClass R A A] [IsScalarTower R A A]
    ```
 
 The first approach implies the second via typeclass search; so any lemma stated with the second set

This shortens Mathlib.LinearAlgebra.Basic, which is both longer than we like and doesn't have a clear scope.

@@ -4,10 +4,10 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
 -/
 import Mathlib.Algebra.CharZero.Lemmas
+import Mathlib.Algebra.Module.Submodule.Ker
+import Mathlib.Algebra.Module.Submodule.RestrictScalars
 import Mathlib.Algebra.Module.ULift
-import Mathlib.LinearAlgebra.Basic
 import Mathlib.RingTheory.Subring.Basic
-import Mathlib.Algebra.Module.Submodule.RestrictScalars
 
 #align_import algebra.algebra.basic from "leanprover-community/mathlib"@"36b8aa61ea7c05727161f96a0532897bd72aedab"
 

As with #9950, this is motivated by:

• Getting NNRat closed to norm_num
• Being able to put an nnrat_cast field in DivisionSemirings

This brings down the number of dependencies of NNRat by around 600.

@@ -722,6 +722,10 @@ instance algebraRat {α} [DivisionRing α] [CharZero α] : Algebra ℚ α where
   commutes' := Rat.cast_commute
 #align algebra_rat algebraRat
 
+/-- The rational numbers are an algebra over the non-negative rationals. -/
+instance : Algebra NNRat ℚ :=
+  NNRat.coeHom.toAlgebra
+
 /-- The two `Algebra ℚ ℚ` instances should coincide. -/
 example : algebraRat = Algebra.id ℚ :=
   rfl

@@ -420,7 +420,7 @@ end
 
 variable (R A)
 
-/-- The canonical ring homomorphism `algebraMap R A : R →* A` for any `R`-algebra `A`,
+/-- The canonical ring homomorphism `algebraMap R A : R →+* A` for any `R`-algebra `A`,
 packaged as an `R`-linear map.
 -/
 protected def linearMap : R →ₗ[R] A :=

Co-authored-by: Moritz Firsching <firsching@google.com>

@@ -784,17 +784,12 @@ variable (R A)
 
 theorem algebraMap_injective [CommRing R] [Ring A] [Nontrivial A] [Algebra R A]
     [NoZeroSMulDivisors R A] : Function.Injective (algebraMap R A) := by
-  -- porting note: todo: drop implicit args
-  have := @smul_left_injective R A CommRing.toRing Ring.toAddCommGroup Algebra.toModule
-    ‹_› 1 one_ne_zero
-  simpa only [algebraMap_eq_smul_one'] using this
+  simpa only [algebraMap_eq_smul_one'] using smul_left_injective R one_ne_zero
 #align no_zero_smul_divisors.algebra_map_injective NoZeroSMulDivisors.algebraMap_injective
 
 theorem _root_.NeZero.of_noZeroSMulDivisors (n : ℕ) [CommRing R] [NeZero (n : R)] [Ring A]
     [Nontrivial A] [Algebra R A] [NoZeroSMulDivisors R A] : NeZero (n : A) :=
-  -- porting note: todo: drop implicit args
-  @NeZero.nat_of_injective R A (R →+* A) _ _ n ‹_› _ _ <|
-    NoZeroSMulDivisors.algebraMap_injective R A
+  NeZero.nat_of_injective <| NoZeroSMulDivisors.algebraMap_injective R A
 #align ne_zero.of_no_zero_smul_divisors NeZero.of_noZeroSMulDivisors
 
 variable {R A}

The current definition of Algebra.id is (RingHom.id _).toAlgebra. The problem with this is that RingHom.id is a def and is not reducible. Thus Lean will often refuse to unfold it causing unification to fail unecessarily in typeclass searches. This overrides the data fields from RingHom.id.

@@ -436,8 +436,14 @@ theorem coe_linearMap : ⇑(Algebra.linearMap R A) = algebraMap R A :=
   rfl
 #align algebra.coe_linear_map Algebra.coe_linearMap
 
-instance id : Algebra R R :=
-  (RingHom.id R).toAlgebra
+/- The identity map inducing an `Algebra` structure. -/
+instance id : Algebra R R where
+  -- We override `toFun` and `toSMul` because `RingHom.id` is not reducible and cannot
+  -- be made so without a significant performance hit.
+  -- see library note [reducible non-instances].
+  toFun x := x
+  toSMul := Mul.toSMul _
+  __ := (RingHom.id R).toAlgebra
 #align algebra.id Algebra.id
 
 variable {R A}

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>

@@ -315,7 +315,7 @@ it suffices to check the `algebraMap`s agree.
 theorem algebra_ext {R : Type*} [CommSemiring R] {A : Type*} [Semiring A] (P Q : Algebra R A)
     (h : ∀ r : R, (haveI := P; algebraMap R A r) = haveI := Q; algebraMap R A r) :
     P = Q := by
-  replace h : P.toRingHom = Q.toRingHom := FunLike.ext _ _ h
+  replace h : P.toRingHom = Q.toRingHom := DFunLike.ext _ _ h
   have h' : (haveI := P; (· • ·) : R → A → A) = (haveI := Q; (· • ·) : R → A → A) := by
     funext r a
     rw [P.smul_def', Q.smul_def', h]

This is a straight copy-paste: there are no new lemmas and nothing has been removed or renamed. The only changes are a few lemmas where argument explicitness or ordering has changed (and where it did not seem to make sense to replicate the old argument explicitness or ordering).

@@ -7,6 +7,7 @@ import Mathlib.Algebra.CharZero.Lemmas
 import Mathlib.Algebra.Module.ULift
 import Mathlib.LinearAlgebra.Basic
 import Mathlib.RingTheory.Subring.Basic
+import Mathlib.Algebra.Module.Submodule.RestrictScalars
 
 #align_import algebra.algebra.basic from "leanprover-community/mathlib"@"36b8aa61ea7c05727161f96a0532897bd72aedab"
 

This also includes a lemma about transferring invertibility of the base ring between algebras.

@@ -924,3 +924,27 @@ end Module
 example {R A} [CommSemiring R] [Semiring A] [Module R A] [SMulCommClass R A A]
     [IsScalarTower R A A] : Algebra R A :=
   Algebra.ofModule smul_mul_assoc mul_smul_comm
+
+section invertibility
+
+variable {R A B : Type*}
+variable [CommSemiring R] [Semiring A] [Semiring B] [Algebra R A] [Algebra R B]
+
+/-- If there is a linear map `f : A →ₗ[R] B` that preserves `1`, then `algebraMap R B r` is
+invertible when `algebraMap R A r` is. -/
+abbrev Invertible.algebraMapOfInvertibleAlgebraMap (f : A →ₗ[R] B) (hf : f 1 = 1) {r : R}
+    (h : Invertible (algebraMap R A r)) : Invertible (algebraMap R B r) where
+  invOf := f ⅟(algebraMap R A r)
+  invOf_mul_self := by rw [← Algebra.commutes, ← Algebra.smul_def, ← map_smul, Algebra.smul_def,
+    mul_invOf_self, hf]
+  mul_invOf_self := by rw [← Algebra.smul_def, ← map_smul, Algebra.smul_def, mul_invOf_self, hf]
+
+/-- If there is a linear map `f : A →ₗ[R] B` that preserves `1`, then `algebraMap R B r` is
+a unit when `algebraMap R A r` is. -/
+lemma IsUnit.algebraMap_of_algebraMap (f : A →ₗ[R] B) (hf : f 1 = 1) {r : R}
+    (h : IsUnit (algebraMap R A r)) : IsUnit (algebraMap R B r) :=
+  let ⟨i⟩ := nonempty_invertible h
+  letI := Invertible.algebraMapOfInvertibleAlgebraMap f hf i
+  isUnit_of_invertible _
+
+end invertibility

This also renames the existing smulOneHom to MonoidHom.smulOneHom.

Co-authored-by: Junyan Xu <junyanxu.math@gmail.com>

@@ -377,6 +377,10 @@ instance _root_.IsScalarTower.right : IsScalarTower R A A :=
   ⟨fun x y z => by rw [smul_eq_mul, smul_eq_mul, smul_def, smul_def, mul_assoc]⟩
 #align is_scalar_tower.right IsScalarTower.right
 
+@[simp]
+theorem _root_.RingHom.smulOneHom_eq_algebraMap : RingHom.smulOneHom = algebraMap R A :=
+  RingHom.ext fun r => (algebraMap_eq_smul_one r).symm
+
 -- TODO: set up `IsScalarTower.smulCommClass` earlier so that we can actually prove this using
 -- `mul_smul_comm s x y`.
 

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

@@ -368,8 +368,9 @@ theorem left_comm (x : A) (r : R) (y : A) :
 #align algebra.left_comm Algebra.left_comm
 
 /-- `mul_right_comm` for `Algebra`s when one element is from the base ring. -/
-theorem right_comm (x : A) (r : R) (y : A) : x * algebraMap R A r * y = x * y * algebraMap R A r :=
-  by rw [mul_assoc, commutes, ← mul_assoc]
+theorem right_comm (x : A) (r : R) (y : A) :
+    x * algebraMap R A r * y = x * y * algebraMap R A r := by
+  rw [mul_assoc, commutes, ← mul_assoc]
 #align algebra.right_comm Algebra.right_comm
 
 instance _root_.IsScalarTower.right : IsScalarTower R A A :=

This reduces the file from ~2600 lines to ~1600 lines.

Co-authored-by: Vierkantor <vierkantor@vierkantor.com> Co-authored-by: Floris van Doorn <fpvdoorn@gmail.com>

@@ -3,14 +3,8 @@ Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
 -/
-import Mathlib.Data.Rat.Order
-import Mathlib.Algebra.Module.Basic
-import Mathlib.Algebra.Module.ULift
-import Mathlib.Algebra.NeZero
-import Mathlib.Algebra.PUnitInstances
-import Mathlib.Algebra.Ring.Aut
-import Mathlib.Algebra.Ring.ULift
 import Mathlib.Algebra.CharZero.Lemmas
+import Mathlib.Algebra.Module.ULift
 import Mathlib.LinearAlgebra.Basic
 import Mathlib.RingTheory.Subring.Basic
 

@@ -361,6 +361,12 @@ theorem commutes (r : R) (x : A) : algebraMap R A r * x = x * algebraMap R A r :
   Algebra.commutes' r x
 #align algebra.commutes Algebra.commutes
 
+lemma commute_algebraMap_left (r : R) (x : A) : Commute (algebraMap R A r) x :=
+  Algebra.commutes r x
+
+lemma commute_algebraMap_right (r : R) (x : A) : Commute x (algebraMap R A r) :=
+  (Algebra.commutes r x).symm
+
 /-- `mul_left_comm` for `Algebra`s when one element is from the base ring. -/
 theorem left_comm (x : A) (r : R) (y : A) :
     x * (algebraMap R A r * y) = algebraMap R A r * (x * y) := by

Applies the suggestion in the porting note

@@ -244,10 +244,8 @@ section FieldDivisionRing
 
 variable (R A : Type*) [Field R] [DivisionRing A] [Algebra R A]
 
--- porting note: todo: drop implicit args
 @[norm_cast]
-theorem coe_ratCast (q : ℚ) : ↑(q : R) = (q : A) :=
-  @map_ratCast (R →+* A) R A _ _ _ (algebraMap R A) q
+theorem coe_ratCast (q : ℚ) : ↑(q : R) = (q : A) := map_ratCast (algebraMap R A) q
 #align algebra_map.coe_rat_cast algebraMap.coe_ratCast
 
 end FieldDivisionRing

This was previously inferred as PUnit.{1}

@@ -458,7 +458,7 @@ end id
 
 section PUnit
 
-instance _root_.PUnit.algebra : Algebra R PUnit where
+instance _root_.PUnit.algebra : Algebra R PUnit.{v + 1} where
   toFun _ := PUnit.unit
   map_one' := rfl
   map_mul' _ _ := rfl

And fix some names in comments where this revealed issues

@@ -38,7 +38,7 @@ See the implementation notes for remarks about non-associative and non-unital al
 * `algebraMap R A : R →+* A`: the canonical map from `R` to `A`, as a `RingHom`. This is the
   preferred spelling of this map, it is also available as:
   * `Algebra.linearMap R A : R →ₗ[R] A`, a `LinearMap`.
-  * `algebra.ofId R A : R →ₐ[R] A`, an `AlgHom` (defined in a later file).
+  * `Algebra.ofId R A : R →ₐ[R] A`, an `AlgHom` (defined in a later file).
 * Instances of `Algebra` in this file:
   * `Algebra.id`
   * `algebraNat`

@@ -44,7 +44,7 @@ See the implementation notes for remarks about non-associative and non-unital al
   * `algebraNat`
   * `algebraInt`
   * `algebraRat`
-  * `module.End.algebra`
+  * `Module.End.instAlgebra`
 
 ## Implementation notes
 

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

@@ -3,6 +3,7 @@ Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
 -/
+import Mathlib.Data.Rat.Order
 import Mathlib.Algebra.Module.Basic
 import Mathlib.Algebra.Module.ULift
 import Mathlib.Algebra.NeZero

This moves the Algebra instance on MulOpposite to a new file, and adds the AlgHom and AlgEquiv versions of various existing RingHom and RingEquiv definitions:

• AlgHom.fromOpposite
• AlgHom.toOpposite
• AlgHom.op
• AlgHom.unop
• AlgEquiv.op
• AlgHom.unop
• AlgEquiv.toOpposite

As MulOpposite.instAlgebra is no longer in Mathlib.Algebra.Algebra.Basic, some new downstream imports are needed.

@@ -43,7 +43,6 @@ See the implementation notes for remarks about non-associative and non-unital al
   * `algebraNat`
   * `algebraInt`
   * `algebraRat`
-  * `mul_opposite.algebra`
   * `module.End.algebra`
 
 ## Implementation notes
@@ -594,25 +593,6 @@ end Algebra
 
 open scoped Algebra
 
-namespace MulOpposite
-
-variable {R A : Type*} [CommSemiring R] [Semiring A] [Algebra R A]
-
-instance instAlgebraMulOpposite : Algebra R Aᵐᵒᵖ where
-  toRingHom := (algebraMap R A).toOpposite fun x y => Algebra.commutes _ _
-  smul_def' c x := unop_injective <| by
-    simp only [unop_smul, RingHom.toOpposite_apply, Function.comp_apply, unop_mul, op_mul,
-      Algebra.smul_def, Algebra.commutes, op_unop, unop_op]
-  commutes' r := MulOpposite.rec' fun x => by
-    simp only [RingHom.toOpposite_apply, Function.comp_apply, ← op_mul, Algebra.commutes]
-
-@[simp]
-theorem algebraMap_apply (c : R) : algebraMap R Aᵐᵒᵖ c = op (algebraMap R A c) :=
-  rfl
-#align mul_opposite.algebra_map_apply MulOpposite.algebraMap_apply
-
-end MulOpposite
-
 namespace Module
 
 variable (R : Type u) (S : Type v) (M : Type w)
@@ -940,10 +920,3 @@ end Module
 example {R A} [CommSemiring R] [Semiring A] [Module R A] [SMulCommClass R A A]
     [IsScalarTower R A A] : Algebra R A :=
   Algebra.ofModule smul_mul_assoc mul_smul_comm
-
--- porting note: disable `dupNamespace` linter for aux lemmas
-open Lean in
-run_cmd do
-  for i in List.range 12 do
-    Elab.Command.elabCommand (← `(attribute [nolint dupNamespace]
-      $(mkCIdent (.num `Mathlib.Algebra.Algebra.Basic._auxLemma (i + 1)))))

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

This has nice performance benefits.

@@ -127,19 +127,19 @@ def algebraMap (R : Type u) (A : Type v) [CommSemiring R] [Semiring A] [Algebra
 #align algebra_map algebraMap
 
 /-- Coercion from a commutative semiring to an algebra over this semiring. -/
-@[coe] def Algebra.cast {R A : Type _} [CommSemiring R] [Semiring A] [Algebra R A] : R → A :=
+@[coe] def Algebra.cast {R A : Type*} [CommSemiring R] [Semiring A] [Algebra R A] : R → A :=
   algebraMap R A
 
 namespace algebraMap
 
-scoped instance coeHTCT (R A : Type _) [CommSemiring R] [Semiring A] [Algebra R A] :
+scoped instance coeHTCT (R A : Type*) [CommSemiring R] [Semiring A] [Algebra R A] :
     CoeHTCT R A :=
   ⟨Algebra.cast⟩
 #align algebra_map.has_lift_t algebraMap.coeHTCT
 
 section CommSemiringSemiring
 
-variable {R A : Type _} [CommSemiring R] [Semiring A] [Algebra R A]
+variable {R A : Type*} [CommSemiring R] [Semiring A] [Algebra R A]
 
 @[simp, norm_cast]
 theorem coe_zero : (↑(0 : R) : A) = 0 :=
@@ -170,7 +170,7 @@ end CommSemiringSemiring
 
 section CommRingRing
 
-variable {R A : Type _} [CommRing R] [Ring A] [Algebra R A]
+variable {R A : Type*} [CommRing R] [Ring A] [Algebra R A]
 
 @[norm_cast]
 theorem coe_neg (x : R) : (↑(-x : R) : A) = -↑x :=
@@ -181,20 +181,20 @@ end CommRingRing
 
 section CommSemiringCommSemiring
 
-variable {R A : Type _} [CommSemiring R] [CommSemiring A] [Algebra R A]
+variable {R A : Type*} [CommSemiring R] [CommSemiring A] [Algebra R A]
 
 open BigOperators
 
 -- direct to_additive fails because of some mix-up with polynomials
 @[norm_cast]
-theorem coe_prod {ι : Type _} {s : Finset ι} (a : ι → R) :
+theorem coe_prod {ι : Type*} {s : Finset ι} (a : ι → R) :
     (↑(∏ i : ι in s, a i : R) : A) = ∏ i : ι in s, (↑(a i) : A) :=
   map_prod (algebraMap R A) a s
 #align algebra_map.coe_prod algebraMap.coe_prod
 
 -- to_additive fails for some reason
 @[norm_cast]
-theorem coe_sum {ι : Type _} {s : Finset ι} (a : ι → R) :
+theorem coe_sum {ι : Type*} {s : Finset ι} (a : ι → R) :
     ↑(∑ i : ι in s, a i) = ∑ i : ι in s, (↑(a i) : A) :=
   map_sum (algebraMap R A) a s
 #align algebra_map.coe_sum algebraMap.coe_sum
@@ -205,7 +205,7 @@ end CommSemiringCommSemiring
 
 section FieldNontrivial
 
-variable {R A : Type _} [Field R] [CommSemiring A] [Nontrivial A] [Algebra R A]
+variable {R A : Type*} [Field R] [CommSemiring A] [Nontrivial A] [Algebra R A]
 
 @[norm_cast, simp]
 theorem coe_inj {a b : R} : (↑a : A) = ↑b ↔ a = b :=
@@ -221,7 +221,7 @@ end FieldNontrivial
 
 section SemifieldSemidivisionRing
 
-variable {R : Type _} (A : Type _) [Semifield R] [DivisionSemiring A] [Algebra R A]
+variable {R : Type*} (A : Type*) [Semifield R] [DivisionSemiring A] [Algebra R A]
 
 @[norm_cast]
 theorem coe_inv (r : R) : ↑r⁻¹ = ((↑r)⁻¹ : A) :=
@@ -242,7 +242,7 @@ end SemifieldSemidivisionRing
 
 section FieldDivisionRing
 
-variable (R A : Type _) [Field R] [DivisionRing A] [Algebra R A]
+variable (R A : Type*) [Field R] [DivisionRing A] [Algebra R A]
 
 -- porting note: todo: drop implicit args
 @[norm_cast]
@@ -275,7 +275,7 @@ theorem RingHom.algebraMap_toAlgebra {R S} [CommSemiring R] [CommSemiring S] (i
 
 namespace Algebra
 
-variable {R : Type u} {S : Type v} {A : Type w} {B : Type _}
+variable {R : Type u} {S : Type v} {A : Type w} {B : Type*}
 
 /-- Let `R` be a commutative semiring, let `A` be a semiring with a `Module R` structure.
 If `(r • 1) * x = x * (r • 1) = r • x` for all `r : R` and `x : A`, then `A` is an `Algebra`
@@ -319,7 +319,7 @@ variable [Semiring A] [Algebra R A] [Semiring B] [Algebra R B]
 it suffices to check the `algebraMap`s agree.
 -/
 @[ext]
-theorem algebra_ext {R : Type _} [CommSemiring R] {A : Type _} [Semiring A] (P Q : Algebra R A)
+theorem algebra_ext {R : Type*} [CommSemiring R] {A : Type*} [Semiring A] (P Q : Algebra R A)
     (h : ∀ r : R, (haveI := P; algebraMap R A r) = haveI := Q; algebraMap R A r) :
     P = Q := by
   replace h : P.toRingHom = Q.toRingHom := FunLike.ext _ _ h
@@ -396,7 +396,7 @@ protected theorem smul_mul_assoc (r : R) (x y : A) : r • x * y = r • (x * y)
 #align algebra.smul_mul_assoc Algebra.smul_mul_assoc
 
 @[simp]
-theorem _root_.smul_algebraMap {α : Type _} [Monoid α] [MulDistribMulAction α A]
+theorem _root_.smul_algebraMap {α : Type*} [Monoid α] [MulDistribMulAction α A]
     [SMulCommClass α R A] (a : α) (r : R) : a • algebraMap R A r = algebraMap R A r := by
   rw [algebraMap_eq_smul_one, smul_comm a r (1 : A), smul_one]
 #align smul_algebra_map smul_algebraMap
@@ -519,7 +519,7 @@ theorem algebraMap_ofSubsemiring_apply (S : Subsemiring R) (x : S) : algebraMap
 #align algebra.algebra_map_of_subsemiring_apply Algebra.algebraMap_ofSubsemiring_apply
 
 /-- Algebra over a subring. This builds upon `Subring.module`. -/
-instance ofSubring {R A : Type _} [CommRing R] [Ring A] [Algebra R A] (S : Subring R) :
+instance ofSubring {R A : Type*} [CommRing R] [Ring A] [Algebra R A] (S : Subring R) :
     Algebra S A where -- porting note: don't use `toSubsemiring` because of a timeout
   toRingHom := (algebraMap R A).comp S.subtype
   smul := (· • ·)
@@ -527,28 +527,28 @@ instance ofSubring {R A : Type _} [CommRing R] [Ring A] [Algebra R A] (S : Subri
   smul_def' r x := Algebra.smul_def (r : R) x
 #align algebra.of_subring Algebra.ofSubring
 
-theorem algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
+theorem algebraMap_ofSubring {R : Type*} [CommRing R] (S : Subring R) :
     (algebraMap S R : S →+* R) = Subring.subtype S :=
   rfl
 #align algebra.algebra_map_of_subring Algebra.algebraMap_ofSubring
 
-theorem coe_algebraMap_ofSubring {R : Type _} [CommRing R] (S : Subring R) :
+theorem coe_algebraMap_ofSubring {R : Type*} [CommRing R] (S : Subring R) :
     (algebraMap S R : S → R) = Subtype.val :=
   rfl
 #align algebra.coe_algebra_map_of_subring Algebra.coe_algebraMap_ofSubring
 
-theorem algebraMap_ofSubring_apply {R : Type _} [CommRing R] (S : Subring R) (x : S) :
+theorem algebraMap_ofSubring_apply {R : Type*} [CommRing R] (S : Subring R) (x : S) :
     algebraMap S R x = x :=
   rfl
 #align algebra.algebra_map_of_subring_apply Algebra.algebraMap_ofSubring_apply
 
 /-- Explicit characterization of the submonoid map in the case of an algebra.
 `S` is made explicit to help with type inference -/
-def algebraMapSubmonoid (S : Type _) [Semiring S] [Algebra R S] (M : Submonoid R) : Submonoid S :=
+def algebraMapSubmonoid (S : Type*) [Semiring S] [Algebra R S] (M : Submonoid R) : Submonoid S :=
   M.map (algebraMap R S)
 #align algebra.algebra_map_submonoid Algebra.algebraMapSubmonoid
 
-theorem mem_algebraMapSubmonoid_of_mem {S : Type _} [Semiring S] [Algebra R S] {M : Submonoid R}
+theorem mem_algebraMapSubmonoid_of_mem {S : Type*} [Semiring S] [Algebra R S] {M : Submonoid R}
     (x : M) : algebraMap R S x ∈ algebraMapSubmonoid S M :=
   Set.mem_image_of_mem (algebraMap R S) x.2
 #align algebra.mem_algebra_map_submonoid_of_mem Algebra.mem_algebraMapSubmonoid_of_mem
@@ -596,7 +596,7 @@ open scoped Algebra
 
 namespace MulOpposite
 
-variable {R A : Type _} [CommSemiring R] [Semiring A] [Algebra R A]
+variable {R A : Type*} [CommSemiring R] [Semiring A] [Algebra R A]
 
 instance instAlgebraMulOpposite : Algebra R Aᵐᵒᵖ where
   toRingHom := (algebraMap R A).toOpposite fun x y => Algebra.commutes _ _
@@ -671,7 +671,7 @@ end Module
 
 namespace LinearMap
 
-variable {R : Type _} {A : Type _} {B : Type _} [CommSemiring R] [Semiring A] [Semiring B]
+variable {R : Type*} {A : Type*} {B : Type*} [CommSemiring R] [Semiring A] [Semiring B]
   [Algebra R A] [Algebra R B]
 
 /-- An alternate statement of `LinearMap.map_smul` for when `algebraMap` is more convenient to
@@ -690,7 +690,7 @@ end LinearMap
 
 section Nat
 
-variable {R : Type _} [Semiring R]
+variable {R : Type*} [Semiring R]
 
 -- Lower the priority so that `Algebra.id` is picked most of the time when working with
 -- `ℕ`-algebras. This is only an issue since `Algebra.id` and `algebraNat` are not yet defeq.
@@ -710,7 +710,7 @@ end Nat
 
 namespace RingHom
 
-variable {R S : Type _}
+variable {R S : Type*}
 
 -- porting note: changed `[Ring R] [Ring S]` to `[Semiring R] [Semiring S]`
 -- otherwise, Lean failed to find a `Subsingleton (ℚ →+* S)` instance
@@ -746,7 +746,7 @@ end Rat
 
 section Int
 
-variable (R : Type _) [Ring R]
+variable (R : Type*) [Ring R]
 
 -- Lower the priority so that `Algebra.id` is picked most of the time when working with
 -- `ℤ`-algebras. This is only an issue since `Algebra.id ℤ` and `algebraInt ℤ` are not yet defeq.
@@ -774,7 +774,7 @@ end Int
 
 namespace NoZeroSMulDivisors
 
-variable {R A : Type _}
+variable {R A : Type*}
 
 open Algebra
 
@@ -841,10 +841,10 @@ end NoZeroSMulDivisors
 
 section IsScalarTower
 
-variable {R : Type _} [CommSemiring R]
-variable (A : Type _) [Semiring A] [Algebra R A]
-variable {M : Type _} [AddCommMonoid M] [Module A M] [Module R M] [IsScalarTower R A M]
-variable {N : Type _} [AddCommMonoid N] [Module A N] [Module R N] [IsScalarTower R A N]
+variable {R : Type*} [CommSemiring R]
+variable (A : Type*) [Semiring A] [Algebra R A]
+variable {M : Type*} [AddCommMonoid M] [Module A M] [Module R M] [IsScalarTower R A M]
+variable {N : Type*} [AddCommMonoid N] [Module A N] [Module R N] [IsScalarTower R A N]
 
 theorem algebra_compatible_smul (r : R) (m : M) : r • m = (algebraMap R A) r • m := by
   rw [← one_smul A m, ← smul_assoc, Algebra.smul_def, mul_one, one_smul]
@@ -855,12 +855,12 @@ theorem algebraMap_smul (r : R) (m : M) : (algebraMap R A) r • m = r • m :=
   (algebra_compatible_smul A r m).symm
 #align algebra_map_smul algebraMap_smul
 
-theorem intCast_smul {k V : Type _} [CommRing k] [AddCommGroup V] [Module k V] (r : ℤ) (x : V) :
+theorem intCast_smul {k V : Type*} [CommRing k] [AddCommGroup V] [Module k V] (r : ℤ) (x : V) :
     (r : k) • x = r • x :=
   algebraMap_smul k r x
 #align int_cast_smul intCast_smul
 
-theorem NoZeroSMulDivisors.trans (R A M : Type _) [CommRing R] [Ring A] [IsDomain A] [Algebra R A]
+theorem NoZeroSMulDivisors.trans (R A M : Type*) [CommRing R] [Ring A] [IsDomain A] [Algebra R A]
     [AddCommGroup M] [Module R M] [Module A M] [IsScalarTower R A M] [NoZeroSMulDivisors R A]
     [NoZeroSMulDivisors A M] : NoZeroSMulDivisors R M := by
   refine' ⟨fun {r m} h => _⟩
@@ -925,7 +925,7 @@ are all defined in `LinearAlgebra/Basic.lean`. -/
 
 section Module
 
-variable (R : Type _) {S M N : Type _} [Semiring R] [Semiring S] [SMul R S]
+variable (R : Type*) {S M N : Type*} [Semiring R] [Semiring S] [SMul R S]
 variable [AddCommMonoid M] [Module R M] [Module S M] [IsScalarTower R S M]
 variable [AddCommMonoid N] [Module R N] [Module S N] [IsScalarTower R S N]
 

Per https://github.com/leanprover/lean4/issues/2343, we are going to need to change the automatic generation of instance names, as they become too long.

This PR ensures that everywhere in Mathlib that refers to an instance by name, that name is given explicitly, rather than being automatically generated.

There are four exceptions, which are now commented, with links to https://github.com/leanprover/lean4/issues/2343.

This was implemented by running Mathlib against a modified Lean that appended _ᾰ to all automatically generated names, and fixing everything.

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

@@ -598,7 +598,7 @@ namespace MulOpposite
 
 variable {R A : Type _} [CommSemiring R] [Semiring A] [Algebra R A]
 
-instance : Algebra R Aᵐᵒᵖ where
+instance instAlgebraMulOpposite : Algebra R Aᵐᵒᵖ where
   toRingHom := (algebraMap R A).toOpposite fun x y => Algebra.commutes _ _
   smul_def' c x := unop_injective <| by
     simp only [unop_smul, RingHom.toOpposite_apply, Function.comp_apply, unop_mul, op_mul,

Note that the module instance was already generalized; we were just missing the fact that when combined with the existing ring instance, the result was an algebra.

This also moves some lemmas about IsUnit (_ : Module.End R M) to an earlier file as they are nothing to do with Algebra.

@@ -615,19 +615,23 @@ end MulOpposite
 
 namespace Module
 
-variable (R : Type u) (M : Type v) [CommSemiring R] [AddCommMonoid M] [Module R M]
+variable (R : Type u) (S : Type v) (M : Type w)
+variable [CommSemiring R] [Semiring S] [AddCommMonoid M] [Module R M] [Module S M]
+variable [SMulCommClass S R M] [SMul R S] [IsScalarTower R S M]
 
-instance : Algebra R (Module.End R M) :=
+instance End.instAlgebra : Algebra R (Module.End S M) :=
   Algebra.ofModule smul_mul_assoc fun r f g => (smul_comm r f g).symm
 
-theorem algebraMap_end_eq_smul_id (a : R) : (algebraMap R (End R M)) a = a • LinearMap.id :=
+-- to prove this is a special case of the above
+example : Algebra R (Module.End R M) := End.instAlgebra _ _ _
+
+theorem algebraMap_end_eq_smul_id (a : R) : algebraMap R (End S M) a = a • LinearMap.id :=
   rfl
-#align module.algebra_map_End_eq_smul_id Module.algebraMap_end_eq_smul_id
 
 @[simp]
-theorem algebraMap_end_apply (a : R) (m : M) : (algebraMap R (End R M)) a m = a • m :=
+theorem algebraMap_end_apply (a : R) (m : M) : algebraMap R (End S M) a m = a • m :=
   rfl
-#align module.algebra_map_End_apply Module.algebraMap_end_apply
+#align module.algebra_map_End_apply Module.algebraMap_end_applyₓ
 
 @[simp]
 theorem ker_algebraMap_end (K : Type u) (V : Type v) [Field K] [AddCommGroup V] [Module K V] (a : K)
@@ -639,29 +643,9 @@ section
 
 variable {R M}
 
-theorem End_isUnit_apply_inv_apply_of_isUnit {f : Module.End R M} (h : IsUnit f) (x : M) :
-    f (h.unit.inv x) = x :=
-  show (f * h.unit.inv) x = x by simp
-#align module.End_is_unit_apply_inv_apply_of_is_unit Module.End_isUnit_apply_inv_apply_of_isUnit
-
-theorem End_isUnit_inv_apply_apply_of_isUnit {f : Module.End R M} (h : IsUnit f) (x : M) :
-    h.unit.inv (f x) = x :=
-  (by simp : (h.unit.inv * f) x = x)
-#align module.End_is_unit_inv_apply_apply_of_is_unit Module.End_isUnit_inv_apply_apply_of_isUnit
-
-theorem End_isUnit_iff (f : Module.End R M) : IsUnit f ↔ Function.Bijective f :=
-  ⟨fun h =>
-    Function.bijective_iff_has_inverse.mpr <|
-      ⟨h.unit.inv,
-        ⟨End_isUnit_inv_apply_apply_of_isUnit h, End_isUnit_apply_inv_apply_of_isUnit h⟩⟩,
-    fun H =>
-    let e : M ≃ₗ[R] M := { f, Equiv.ofBijective f H with }
-    ⟨⟨_, e.symm, LinearMap.ext e.right_inv, LinearMap.ext e.left_inv⟩, rfl⟩⟩
-#align module.End_is_unit_iff Module.End_isUnit_iff
-
 theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
-    (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) :
-    (↑(h.unit⁻¹) : Module.End R M) m = m' ↔ m = x • m' :=
+    (h : IsUnit (algebraMap R (Module.End S M) x)) (m m' : M) :
+    (↑(h.unit⁻¹) : Module.End S M) m = m' ↔ m = x • m' :=
   { mp := fun H => ((congr_arg h.unit H).symm.trans (End_isUnit_apply_inv_apply_of_isUnit h _)).symm
     mpr := fun H =>
       H.symm ▸ by
@@ -671,8 +655,8 @@ theorem End_algebraMap_isUnit_inv_apply_eq_iff {x : R}
 #align module.End_algebra_map_is_unit_inv_apply_eq_iff Module.End_algebraMap_isUnit_inv_apply_eq_iff
 
 theorem End_algebraMap_isUnit_inv_apply_eq_iff' {x : R}
-    (h : IsUnit (algebraMap R (Module.End R M) x)) (m m' : M) :
-    m' = (↑h.unit⁻¹ : Module.End R M) m ↔ m = x • m' :=
+    (h : IsUnit (algebraMap R (Module.End S M) x)) (m m' : M) :
+    m' = (↑h.unit⁻¹ : Module.End S M) m ↔ m = x • m' :=
   { mp := fun H => ((congr_arg h.unit H).trans (End_isUnit_apply_inv_apply_of_isUnit h _)).symm
     mpr := fun H =>
       H.symm ▸ by

This provide Algebra R (FreeAlgebra A X) when Algebra R A; previously we only had Algebra R (FreeAlgebra R X).

This also fixes some diamonds that would arise as a result of this new instance by filling the zsmul and intCast fields of Module.addCommMonoidToAddCommGroup, Algebra.semiringToRing, and the nsmul and natCast fields of the Semiring instance.

@@ -582,7 +582,10 @@ variable (R)
 See note [reducible non-instances]. -/
 @[reducible]
 def semiringToRing [Semiring A] [Algebra R A] : Ring A :=
-  { Module.addCommMonoidToAddCommGroup R, (inferInstance : Semiring A) with }
+  { Module.addCommMonoidToAddCommGroup R, (inferInstance : Semiring A) with
+    intCast := fun z => algebraMap R A z
+    intCast_ofNat := fun z => by simp only [Int.cast_ofNat, map_natCast]
+    intCast_negSucc := fun z => by simp }
 #align algebra.semiring_to_ring Algebra.semiringToRing
 
 end Ring

• depends on: #5966

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

@@ -2,11 +2,6 @@
 Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
-
-! This file was ported from Lean 3 source module algebra.algebra.basic
-! leanprover-community/mathlib commit 36b8aa61ea7c05727161f96a0532897bd72aedab
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Module.Basic
 import Mathlib.Algebra.Module.ULift
@@ -18,6 +13,8 @@ import Mathlib.Algebra.CharZero.Lemmas
 import Mathlib.LinearAlgebra.Basic
 import Mathlib.RingTheory.Subring.Basic
 
+#align_import algebra.algebra.basic from "leanprover-community/mathlib"@"36b8aa61ea7c05727161f96a0532897bd72aedab"
+
 /-!
 # Algebras over commutative semirings
 

• depends on: https://github.com/leanprover/std4/pull/163
• depends on: #5584
• depends on: #5715
• depends on: #5729
• depends on: https://github.com/leanprover/std4/pull/173

Co-authored-by: Komyyy <pol_tta@outlook.jp> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com>

@@ -344,10 +344,8 @@ instance (priority := 200) toModule : Module R A where
   zero_smul := by simp [smul_def']
 #align algebra.to_module Algebra.toModule
 
--- From now on, we don't want to use the following instance anymore.
--- Unfortunately, leaving it in place caused deterministic timeouts later in mathlib3.
--- porting note: todo: is it still required in Mathlib 4?
-attribute [instance 0] Algebra.toSMul
+-- porting note: this caused deterministic timeouts later in mathlib3 but not in mathlib 4.
+-- attribute [instance 0] Algebra.toSMul
 
 theorem smul_def (r : R) (x : A) : r • x = algebraMap R A r * x :=
   Algebra.smul_def' r x

All of these are doc fixes

@@ -924,7 +924,7 @@ variable (R)
 #align linear_map.coe_coe_is_scalar_tower LinearMap.coe_restrictScalars
 
 -- porting note: todo: generalize to `CompatibleSMul`
-/-- `A`-linearly coerce a `R`-linear map from `M` to `A` to a function, given an algebra `A` over
+/-- `A`-linearly coerce an `R`-linear map from `M` to `A` to a function, given an algebra `A` over
 a commutative semiring `R` and `M` a module over `R`. -/
 def ltoFun (R : Type u) (M : Type v) (A : Type w) [CommSemiring R] [AddCommMonoid M] [Module R M]
     [CommSemiring A] [Algebra R A] : (M →ₗ[R] A) →ₗ[A] M → A where

It turns out to be convenient to have MulOpposite α = AddOpposite α true by definition, in the same way that it is convenient to have Additive α = α; this means that we also get the defeq AddOpposite (Additive α) = MulOpposite α, which is convenient when working with quotients. This is a compromise between making MulOpposite α = AddOpposite α = α (what we had in Lean 3) and having no defeqs within those three types (which we had as of #1036).

This is motivated by #3333

@@ -604,7 +604,7 @@ instance : Algebra R Aᵐᵒᵖ where
   toRingHom := (algebraMap R A).toOpposite fun x y => Algebra.commutes _ _
   smul_def' c x := unop_injective <| by
     simp only [unop_smul, RingHom.toOpposite_apply, Function.comp_apply, unop_mul, op_mul,
-      Algebra.smul_def, Algebra.commutes, op_unop]
+      Algebra.smul_def, Algebra.commutes, op_unop, unop_op]
   commutes' r := MulOpposite.rec' fun x => by
     simp only [RingHom.toOpposite_apply, Function.comp_apply, ← op_mul, Algebra.commutes]
 

See https://github.com/leanprover-community/mathlib/pull/18907

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
 
 ! This file was ported from Lean 3 source module algebra.algebra.basic
-! leanprover-community/mathlib commit 2651125b48fc5c170ab1111afd0817c903b1fc6c
+! leanprover-community/mathlib commit 36b8aa61ea7c05727161f96a0532897bd72aedab
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -906,6 +906,12 @@ instance (priority := 100) IsScalarTower.to_smulCommClass' : SMulCommClass A R M
   SMulCommClass.symm _ _ _
 #align is_scalar_tower.to_smul_comm_class' IsScalarTower.to_smulCommClass'
 
+-- see Note [lower instance priority]
+instance (priority := 200) Algebra.to_smulCommClass {R A} [CommSemiring R] [Semiring A]
+    [Algebra R A] : SMulCommClass R A A :=
+  IsScalarTower.to_smulCommClass
+#align algebra.to_smul_comm_class Algebra.to_smulCommClass
+
 theorem smul_algebra_smul_comm (r : R) (a : A) (m : M) : a • r • m = r • a • m :=
   smul_comm _ _ _
 #align smul_algebra_smul_comm smul_algebra_smul_comm

This additionally makes a further small generalization to some of the finsupp instances (labelled with porting notes) which should be backported.

The new statement of Rat.smul_one_eq_coe fixes a proof in Mathlib/Analysis/NormedSpace/Basic.lean that was mangled during porting.

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
 
 ! This file was ported from Lean 3 source module algebra.algebra.basic
-! leanprover-community/mathlib commit 2738d2ca56cbc63be80c3bd48e9ed90ad94e947d
+! leanprover-community/mathlib commit 2651125b48fc5c170ab1111afd0817c903b1fc6c
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -706,12 +706,6 @@ theorem map_mul_algebraMap (f : A →ₗ[R] B) (a : A) (r : R) :
 
 end LinearMap
 
-@[simp]
-theorem Rat.smul_one_eq_coe {A : Type _} [DivisionRing A] [Algebra ℚ A] (m : ℚ) :
-    @SMul.smul _ _ Algebra.toSMul m (1 : A) = ↑m :=
-  (Algebra.algebraMap_eq_smul_one m).symm.trans <| @eq_ratCast (ℚ →+* A) A _ _ (algebraMap ℚ A) _
-#align rat.smul_one_eq_coe Rat.smul_one_eq_coe
-
 section Nat
 
 variable {R : Type _} [Semiring R]

This PR fixes two things:

• Most align statements for definitions and theorems and instances that are separated by two newlines from the relevant declaration (s/\n\n#align/\n#align). This is often seen in the mathport output after ending calc blocks.
• All remaining more-than-one-line #align statements. (This was needed for a script I wrote for #3630.)

@@ -357,7 +357,6 @@ theorem algebraMap_eq_smul_one (r : R) : algebraMap R A r = r • (1 : A) :=
   calc
     algebraMap R A r = algebraMap R A r * 1 := (mul_one _).symm
     _ = r • (1 : A) := (Algebra.smul_def r 1).symm
-
 #align algebra.algebra_map_eq_smul_one Algebra.algebraMap_eq_smul_one
 
 theorem algebraMap_eq_smul_one' : ⇑(algebraMap R A) = fun r => r • (1 : A) :=

is_scalar_tower is now IsScalarTower etc.

As discussed on Zulip, this also renames sMulCommClass to smulCommClass. The later was already the majority spelling.

@@ -902,16 +902,16 @@ theorem NoZeroSMulDivisors.trans (R A M : Type _) [CommRing R] [Ring A] [IsDomai
 variable {A}
 
 -- see Note [lower instance priority]
-instance (priority := 100) IsScalarTower.to_sMulCommClass : SMulCommClass R A M :=
+instance (priority := 100) IsScalarTower.to_smulCommClass : SMulCommClass R A M :=
   ⟨fun r a m => by
     rw [algebra_compatible_smul A r (a • m), smul_smul, Algebra.commutes, mul_smul, ←
       algebra_compatible_smul]⟩
-#align is_scalar_tower.to_smul_comm_class IsScalarTower.to_sMulCommClass
+#align is_scalar_tower.to_smul_comm_class IsScalarTower.to_smulCommClass
 
 -- see Note [lower instance priority]
-instance (priority := 100) IsScalarTower.to_sMulCommClass' : SMulCommClass A R M :=
+instance (priority := 100) IsScalarTower.to_smulCommClass' : SMulCommClass A R M :=
   SMulCommClass.symm _ _ _
-#align is_scalar_tower.to_smul_comm_class' IsScalarTower.to_sMulCommClass'
+#align is_scalar_tower.to_smul_comm_class' IsScalarTower.to_smulCommClass'
 
 theorem smul_algebra_smul_comm (r : R) (a : A) (m : M) : a • r • m = r • a • m :=
   smul_comm _ _ _

@@ -93,7 +93,7 @@ all be relaxed independently; for instance, this allows us to:
   which when `R' = Rˣ` lets us talk about the "algebra-like" action of `Rˣ` on an
   `R`-algebra `A`.
 
-While `alg_hom R A B` cannot be used in the second approach, `non_unital_alg_hom R A B` still can.
+While `AlgHom R A B` cannot be used in the second approach, `NonUnitalAlgHom R A B` still can.
 
 You should always use the first approach when working with associative unital algebras, and mimic
 the second approach only when you need to weaken a condition on either `R` or `A`.
@@ -249,9 +249,9 @@ variable (R A : Type _) [Field R] [DivisionRing A] [Algebra R A]
 
 -- porting note: todo: drop implicit args
 @[norm_cast]
-theorem coe_rat_cast (q : ℚ) : ↑(q : R) = (q : A) :=
+theorem coe_ratCast (q : ℚ) : ↑(q : R) = (q : A) :=
   @map_ratCast (R →+* A) R A _ _ _ (algebraMap R A) q
-#align algebra_map.coe_rat_cast algebraMap.coe_rat_cast
+#align algebra_map.coe_rat_cast algebraMap.coe_ratCast
 
 end FieldDivisionRing
 
@@ -384,7 +384,7 @@ instance _root_.IsScalarTower.right : IsScalarTower R A A :=
   ⟨fun x y z => by rw [smul_eq_mul, smul_eq_mul, smul_def, smul_def, mul_assoc]⟩
 #align is_scalar_tower.right IsScalarTower.right
 
--- TODO: set up `is_scalar_tower.smul_comm_class` earlier so that we can actually prove this using
+-- TODO: set up `IsScalarTower.smulCommClass` earlier so that we can actually prove this using
 -- `mul_smul_comm s x y`.
 
 /-- This is just a special case of the global `mul_smul_comm` lemma that requires less typeclass
@@ -485,8 +485,7 @@ section ULift
 
 instance _root_.ULift.algebra : Algebra R (ULift A) :=
   { ULift.module',
-    (ULift.ringEquiv : ULift A ≃+* A).symm.toRingHom.comp
-      (algebraMap R A) with
+    (ULift.ringEquiv : ULift A ≃+* A).symm.toRingHom.comp (algebraMap R A) with
     toFun := fun r => ULift.up (algebraMap R A r)
     commutes' := fun r x => ULift.down_injective <| Algebra.commutes r x.down
     smul_def' := fun r x => ULift.down_injective <| Algebra.smul_def' r x.down }
@@ -504,7 +503,7 @@ theorem _root_.ULift.down_algebraMap (r : R) : (algebraMap R (ULift A) r).down =
 
 end ULift
 
-/-- Algebra over a subsemiring. This builds upon `subsemiring.module`. -/
+/-- Algebra over a subsemiring. This builds upon `Subsemiring.module`. -/
 instance ofSubsemiring (S : Subsemiring R) : Algebra S A where
   toRingHom := (algebraMap R A).comp S.subtype
   smul := (· • ·)
@@ -525,7 +524,7 @@ theorem algebraMap_ofSubsemiring_apply (S : Subsemiring R) (x : S) : algebraMap
   rfl
 #align algebra.algebra_map_of_subsemiring_apply Algebra.algebraMap_ofSubsemiring_apply
 
-/-- Algebra over a subring. This builds upon `subring.module`. -/
+/-- Algebra over a subring. This builds upon `Subring.module`. -/
 instance ofSubring {R A : Type _} [CommRing R] [Ring A] [Algebra R A] (S : Subring R) :
     Algebra S A where -- porting note: don't use `toSubsemiring` because of a timeout
   toRingHom := (algebraMap R A).comp S.subtype
@@ -604,11 +603,11 @@ variable {R A : Type _} [CommSemiring R] [Semiring A] [Algebra R A]
 
 instance : Algebra R Aᵐᵒᵖ where
   toRingHom := (algebraMap R A).toOpposite fun x y => Algebra.commutes _ _
-  smul_def' := fun c x => unop_injective <| by
-    dsimp
-    simp only [op_mul, Algebra.smul_def, Algebra.commutes, op_unop]
-  commutes' := fun r => MulOpposite.rec' fun x => by
-    dsimp; simp only [← op_mul, Algebra.commutes]
+  smul_def' c x := unop_injective <| by
+    simp only [unop_smul, RingHom.toOpposite_apply, Function.comp_apply, unop_mul, op_mul,
+      Algebra.smul_def, Algebra.commutes, op_unop]
+  commutes' r := MulOpposite.rec' fun x => by
+    simp only [RingHom.toOpposite_apply, Function.comp_apply, ← op_mul, Algebra.commutes]
 
 @[simp]
 theorem algebraMap_apply (c : R) : algebraMap R Aᵐᵒᵖ c = op (algebraMap R A c) :=
@@ -720,7 +719,7 @@ variable {R : Type _} [Semiring R]
 
 -- Lower the priority so that `Algebra.id` is picked most of the time when working with
 -- `ℕ`-algebras. This is only an issue since `Algebra.id` and `algebraNat` are not yet defeq.
--- TODO: fix this by adding an `of_nat` field to semirings.
+-- TODO: fix this by adding an `ofNat` field to semirings.
 /-- Semiring ⥤ ℕ-Alg -/
 instance (priority := 99) algebraNat : Algebra ℕ R where
   commutes' := Nat.cast_commute
@@ -776,7 +775,7 @@ variable (R : Type _) [Ring R]
 
 -- Lower the priority so that `Algebra.id` is picked most of the time when working with
 -- `ℤ`-algebras. This is only an issue since `Algebra.id ℤ` and `algebraInt ℤ` are not yet defeq.
--- TODO: fix this by adding an `of_int` field to rings.
+-- TODO: fix this by adding an `ofInt` field to rings.
 /-- Ring ⥤ ℤ-Alg -/
 instance (priority := 99) algebraInt : Algebra ℤ R where
   commutes' := Int.cast_commute
@@ -807,7 +806,7 @@ open Algebra
 /-- If `algebraMap R A` is injective and `A` has no zero divisors,
 `R`-multiples in `A` are zero only if one of the factors is zero.
 
-Cannot be an instance because there is no `injective (algebraMap R A)` typeclass.
+Cannot be an instance because there is no `Injective (algebraMap R A)` typeclass.
 -/
 theorem of_algebraMap_injective [CommSemiring R] [Semiring A] [Algebra R A] [NoZeroDivisors A]
     (h : Function.Injective (algebraMap R A)) : NoZeroSMulDivisors R A :=
@@ -881,10 +880,10 @@ theorem algebraMap_smul (r : R) (m : M) : (algebraMap R A) r • m = r • m :=
   (algebra_compatible_smul A r m).symm
 #align algebra_map_smul algebraMap_smul
 
-theorem int_cast_smul {k V : Type _} [CommRing k] [AddCommGroup V] [Module k V] (r : ℤ) (x : V) :
+theorem intCast_smul {k V : Type _} [CommRing k] [AddCommGroup V] [Module k V] (r : ℤ) (x : V) :
     (r : k) • x = r • x :=
   algebraMap_smul k r x
-#align int_cast_smul int_cast_smul
+#align int_cast_smul intCast_smul
 
 theorem NoZeroSMulDivisors.trans (R A M : Type _) [CommRing R] [Ring A] [IsDomain A] [Algebra R A]
     [AddCommGroup M] [Module R M] [Module A M] [IsScalarTower R A M] [NoZeroSMulDivisors R A]
@@ -910,9 +909,9 @@ instance (priority := 100) IsScalarTower.to_sMulCommClass : SMulCommClass R A M
 #align is_scalar_tower.to_smul_comm_class IsScalarTower.to_sMulCommClass
 
 -- see Note [lower instance priority]
-instance (priority := 100) IsScalarTower.to_smul_comm_class' : SMulCommClass A R M :=
+instance (priority := 100) IsScalarTower.to_sMulCommClass' : SMulCommClass A R M :=
   SMulCommClass.symm _ _ _
-#align is_scalar_tower.to_smul_comm_class' IsScalarTower.to_smul_comm_class'
+#align is_scalar_tower.to_smul_comm_class' IsScalarTower.to_sMulCommClass'
 
 theorem smul_algebra_smul_comm (r : R) (a : A) (m : M) : a • r • m = r • a • m :=
   smul_comm _ _ _
@@ -940,8 +939,8 @@ end LinearMap
 end IsScalarTower
 
 /-! TODO: The following lemmas no longer involve `Algebra` at all, and could be moved closer
-to `Algebra/Module/submodule.lean`. Currently this is tricky because `ker`, `range`, `⊤`, and `⊥`
-are all defined in `linear_algebra/basic.lean`. -/
+to `Algebra/Module/Submodule.lean`. Currently this is tricky because `ker`, `range`, `⊤`, and `⊥`
+are all defined in `LinearAlgebra/Basic.lean`. -/
 
 section Module