algebra.hom.non_unital_alg ⟷ Mathlib.Algebra.Algebra.NonUnitalHom

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

@@ -51,13 +51,11 @@ universe u v w w₁ w₂ w₃
 
 variable (R : Type u) (A : Type v) (B : Type w) (C : Type w₁)
 
-#print NonUnitalAlgHom /-
 /-- A morphism respecting addition, multiplication, and scalar multiplication. When these arise from
 algebra structures, this is the same as a not-necessarily-unital morphism of algebras. -/
 structure NonUnitalAlgHom [Monoid R] [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
     [NonUnitalNonAssocSemiring B] [DistribMulAction R B] extends A →+[R] B, A →ₙ* B
-#align non_unital_alg_hom NonUnitalAlgHom
--/
+#align non_unital_alg_hom NonUnitalAlgHomₓ
 
 infixr:25 " →ₙₐ " => NonUnitalAlgHom _
 
@@ -67,20 +65,18 @@ attribute [nolint doc_blame] NonUnitalAlgHom.toDistribMulActionHom
 
 attribute [nolint doc_blame] NonUnitalAlgHom.toMulHom
 
-#print NonUnitalAlgHomClass /-
 /-- `non_unital_alg_hom_class F R A B` asserts `F` is a type of bundled algebra homomorphisms
 from `A` to `B`.  -/
-class NonUnitalAlgHomClass (F : Type _) (R : outParam (Type _)) (A : outParam (Type _))
+class NonUnitalAlgSemiHomClass (F : Type _) (R : outParam (Type _)) (A : outParam (Type _))
     (B : outParam (Type _)) [Monoid R] [NonUnitalNonAssocSemiring A] [NonUnitalNonAssocSemiring B]
-    [DistribMulAction R A] [DistribMulAction R B] extends DistribMulActionHomClass F R A B,
+    [DistribMulAction R A] [DistribMulAction R B] extends DistribMulActionSemiHomClass F R A B,
     MulHomClass F A B
-#align non_unital_alg_hom_class NonUnitalAlgHomClass
--/
+#align non_unital_alg_hom_class NonUnitalAlgSemiHomClassₓ
 
 -- `R` becomes a metavariable but that's fine because it's an `out_param`
-attribute [nolint dangerous_instance] NonUnitalAlgHomClass.toMulHomClass
+attribute [nolint dangerous_instance] NonUnitalAlgSemiHomClass.toMulHomClass
 
-namespace NonUnitalAlgHomClass
+namespace NonUnitalAlgSemiHomClass
 
 #print NonUnitalAlgHomClass.toNonUnitalRingHomClass /-
 -- `R` becomes a metavariable but that's fine because it's an `out_param`
@@ -88,8 +84,8 @@ namespace NonUnitalAlgHomClass
 @[nolint dangerous_instance]
 instance (priority := 100) NonUnitalAlgHomClass.toNonUnitalRingHomClass {F R A B : Type _}
     [Monoid R] [NonUnitalNonAssocSemiring A] [DistribMulAction R A] [NonUnitalNonAssocSemiring B]
-    [DistribMulAction R B] [NonUnitalAlgHomClass F R A B] : NonUnitalRingHomClass F A B :=
-  { ‹NonUnitalAlgHomClass F R A B› with coe := coeFn }
+    [DistribMulAction R B] [NonUnitalAlgSemiHomClass F R A B] : NonUnitalRingHomClass F A B :=
+  { ‹NonUnitalAlgSemiHomClass F R A B› with coe := coeFn }
 #align non_unital_alg_hom_class.non_unital_alg_hom_class.to_non_unital_ring_hom_class NonUnitalAlgHomClass.toNonUnitalRingHomClass
 -/
 
@@ -97,18 +93,19 @@ variable [Semiring R] [NonUnitalNonAssocSemiring A] [Module R A] [NonUnitalNonAs
   [Module R B]
 
 -- see Note [lower instance priority]
-instance (priority := 100) {F : Type _} [NonUnitalAlgHomClass F R A B] : LinearMapClass F R A B :=
-  { ‹NonUnitalAlgHomClass F R A B› with map_smulₛₗ := DistribMulActionHomClass.map_smul }
+instance (priority := 100) {F : Type _} [NonUnitalAlgSemiHomClass F R A B] :
+    LinearMapClass F R A B :=
+  { ‹NonUnitalAlgSemiHomClass F R A B› with map_smulₛₗ := DistribMulActionSemiHomClass.map_smul }
 
 instance {F R A B : Type _} [Monoid R] [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
-    [NonUnitalNonAssocSemiring B] [DistribMulAction R B] [NonUnitalAlgHomClass F R A B] :
+    [NonUnitalNonAssocSemiring B] [DistribMulAction R B] [NonUnitalAlgSemiHomClass F R A B] :
     CoeTC F (A →ₙₐ[R] B)
     where coe f :=
     { (f : A →ₙ+* B) with
       toFun := f
       map_smul' := map_smul f }
 
-end NonUnitalAlgHomClass
+end NonUnitalAlgSemiHomClass
 
 namespace NonUnitalAlgHom
 
@@ -131,11 +128,11 @@ theorem toFun_eq_coe (f : A →ₙₐ[R] B) : f.toFun = ⇑f :=
 #align non_unital_alg_hom.to_fun_eq_coe NonUnitalAlgHom.toFun_eq_coe
 -/
 
-initialize_simps_projections NonUnitalAlgHom (toFun → apply)
+initialize_simps_projections NonUnitalAlgHomₓ (toFun → apply)
 
 #print NonUnitalAlgHom.coe_coe /-
 @[simp, protected]
-theorem coe_coe {F : Type _} [NonUnitalAlgHomClass F R A B] (f : F) : ⇑(f : A →ₙₐ[R] B) = f :=
+theorem coe_coe {F : Type _} [NonUnitalAlgSemiHomClass F R A B] (f : F) : ⇑(f : A →ₙₐ[R] B) = f :=
   rfl
 #align non_unital_alg_hom.coe_coe NonUnitalAlgHom.coe_coe
 -/
@@ -146,7 +143,7 @@ theorem coe_injective : @Function.Injective (A →ₙₐ[R] B) (A → B) coeFn :
 #align non_unital_alg_hom.coe_injective NonUnitalAlgHom.coe_injective
 -/
 
-instance : NonUnitalAlgHomClass (A →ₙₐ[R] B) R A B
+instance : NonUnitalAlgSemiHomClass (A →ₙₐ[R] B) R A B
     where
   coe := toFun
   coe_injective' := coe_injective
@@ -493,7 +490,7 @@ namespace AlgHom
 variable {R A B} [CommSemiring R] [Semiring A] [Semiring B] [Algebra R A] [Algebra R B]
 
 -- see Note [lower instance priority]
-instance (priority := 100) {F : Type _} [AlgHomClass F R A B] : NonUnitalAlgHomClass F R A B :=
+instance (priority := 100) {F : Type _} [AlgHomClass F R A B] : NonUnitalAlgSemiHomClass F R A B :=
   { ‹AlgHomClass F R A B› with map_smul := map_smul }
 
 #print AlgHom.toNonUnitalAlgHom /-

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

@@ -3,7 +3,7 @@ Copyright (c) 2021 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
 -/
-import Mathbin.Algebra.Algebra.Hom
+import Algebra.Algebra.Hom
 
 #align_import algebra.hom.non_unital_alg from "leanprover-community/mathlib"@"ee05e9ce1322178f0c12004eb93c00d2c8c00ed2"
 

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

@@ -153,7 +153,7 @@ instance : NonUnitalAlgHomClass (A →ₙₐ[R] B) R A B
   map_smul f := f.map_smul'
   map_add f := f.map_add'
   map_zero f := f.map_zero'
-  map_mul f := f.map_mul'
+  map_hMul f := f.map_mul'
 
 #print NonUnitalAlgHom.ext /-
 @[ext]

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

@@ -2,14 +2,11 @@
 Copyright (c) 2021 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
-
-! This file was ported from Lean 3 source module algebra.hom.non_unital_alg
-! leanprover-community/mathlib commit ee05e9ce1322178f0c12004eb93c00d2c8c00ed2
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Algebra.Hom
 
+#align_import algebra.hom.non_unital_alg from "leanprover-community/mathlib"@"ee05e9ce1322178f0c12004eb93c00d2c8c00ed2"
+
 /-!
 # Morphisms of non-unital algebras
 

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

@@ -62,10 +62,8 @@ structure NonUnitalAlgHom [Monoid R] [NonUnitalNonAssocSemiring A] [DistribMulAc
 #align non_unital_alg_hom NonUnitalAlgHom
 -/
 
--- mathport name: «expr →ₙₐ »
 infixr:25 " →ₙₐ " => NonUnitalAlgHom _
 
--- mathport name: «expr →ₙₐ[ ] »
 notation:25 A " →ₙₐ[" R "] " B => NonUnitalAlgHom R A B
 
 attribute [nolint doc_blame] NonUnitalAlgHom.toDistribMulActionHom
@@ -129,21 +127,27 @@ variable [NonUnitalNonAssocSemiring C] [DistribMulAction R C]
 instance : CoeFun (A →ₙₐ[R] B) fun _ => A → B :=
   ⟨toFun⟩
 
+#print NonUnitalAlgHom.toFun_eq_coe /-
 @[simp]
 theorem toFun_eq_coe (f : A →ₙₐ[R] B) : f.toFun = ⇑f :=
   rfl
 #align non_unital_alg_hom.to_fun_eq_coe NonUnitalAlgHom.toFun_eq_coe
+-/
 
 initialize_simps_projections NonUnitalAlgHom (toFun → apply)
 
+#print NonUnitalAlgHom.coe_coe /-
 @[simp, protected]
 theorem coe_coe {F : Type _} [NonUnitalAlgHomClass F R A B] (f : F) : ⇑(f : A →ₙₐ[R] B) = f :=
   rfl
 #align non_unital_alg_hom.coe_coe NonUnitalAlgHom.coe_coe
+-/
 
+#print NonUnitalAlgHom.coe_injective /-
 theorem coe_injective : @Function.Injective (A →ₙₐ[R] B) (A → B) coeFn := by
   rintro ⟨f, _⟩ ⟨g, _⟩ ⟨h⟩ <;> congr
 #align non_unital_alg_hom.coe_injective NonUnitalAlgHom.coe_injective
+-/
 
 instance : NonUnitalAlgHomClass (A →ₙₐ[R] B) R A B
     where
@@ -154,28 +158,38 @@ instance : NonUnitalAlgHomClass (A →ₙₐ[R] B) R A B
   map_zero f := f.map_zero'
   map_mul f := f.map_mul'
 
+#print NonUnitalAlgHom.ext /-
 @[ext]
 theorem ext {f g : A →ₙₐ[R] B} (h : ∀ x, f x = g x) : f = g :=
   coe_injective <| funext h
 #align non_unital_alg_hom.ext NonUnitalAlgHom.ext
+-/
 
+#print NonUnitalAlgHom.ext_iff /-
 theorem ext_iff {f g : A →ₙₐ[R] B} : f = g ↔ ∀ x, f x = g x :=
   ⟨by rintro rfl x; rfl, ext⟩
 #align non_unital_alg_hom.ext_iff NonUnitalAlgHom.ext_iff
+-/
 
+#print NonUnitalAlgHom.congr_fun /-
 theorem congr_fun {f g : A →ₙₐ[R] B} (h : f = g) (x : A) : f x = g x :=
   h ▸ rfl
 #align non_unital_alg_hom.congr_fun NonUnitalAlgHom.congr_fun
+-/
 
+#print NonUnitalAlgHom.coe_mk /-
 @[simp]
 theorem coe_mk (f : A → B) (h₁ h₂ h₃ h₄) : ((⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) : A → B) = f :=
   rfl
 #align non_unital_alg_hom.coe_mk NonUnitalAlgHom.coe_mk
+-/
 
+#print NonUnitalAlgHom.mk_coe /-
 @[simp]
 theorem mk_coe (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) : (⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) = f := by ext;
   rfl
 #align non_unital_alg_hom.mk_coe NonUnitalAlgHom.mk_coe
+-/
 
 instance : Coe (A →ₙₐ[R] B) (A →+[R] B) :=
   ⟨toDistribMulActionHom⟩
@@ -190,20 +204,26 @@ theorem toDistribMulActionHom_eq_coe (f : A →ₙₐ[R] B) : f.toDistribMulActi
 #align non_unital_alg_hom.to_distrib_mul_action_hom_eq_coe NonUnitalAlgHom.toDistribMulActionHom_eq_coe
 -/
 
+#print NonUnitalAlgHom.toMulHom_eq_coe /-
 @[simp]
 theorem toMulHom_eq_coe (f : A →ₙₐ[R] B) : f.toMulHom = ↑f :=
   rfl
 #align non_unital_alg_hom.to_mul_hom_eq_coe NonUnitalAlgHom.toMulHom_eq_coe
+-/
 
+#print NonUnitalAlgHom.coe_to_distribMulActionHom /-
 @[simp, norm_cast]
 theorem coe_to_distribMulActionHom (f : A →ₙₐ[R] B) : ((f : A →+[R] B) : A → B) = f :=
   rfl
 #align non_unital_alg_hom.coe_to_distrib_mul_action_hom NonUnitalAlgHom.coe_to_distribMulActionHom
+-/
 
+#print NonUnitalAlgHom.coe_to_mulHom /-
 @[simp, norm_cast]
 theorem coe_to_mulHom (f : A →ₙₐ[R] B) : ((f : A →ₙ* B) : A → B) = f :=
   rfl
 #align non_unital_alg_hom.coe_to_mul_hom NonUnitalAlgHom.coe_to_mulHom
+-/
 
 #print NonUnitalAlgHom.to_distribMulActionHom_injective /-
 theorem to_distribMulActionHom_injective {f g : A →ₙₐ[R] B}
@@ -212,39 +232,53 @@ theorem to_distribMulActionHom_injective {f g : A →ₙₐ[R] B}
 #align non_unital_alg_hom.to_distrib_mul_action_hom_injective NonUnitalAlgHom.to_distribMulActionHom_injective
 -/
 
+#print NonUnitalAlgHom.to_mulHom_injective /-
 theorem to_mulHom_injective {f g : A →ₙₐ[R] B} (h : (f : A →ₙ* B) = (g : A →ₙ* B)) : f = g := by
   ext a; exact MulHom.congr_fun h a
 #align non_unital_alg_hom.to_mul_hom_injective NonUnitalAlgHom.to_mulHom_injective
+-/
 
+#print NonUnitalAlgHom.coe_distribMulActionHom_mk /-
 @[norm_cast]
 theorem coe_distribMulActionHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) :
     ((⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) : A →+[R] B) = ⟨f, h₁, h₂, h₃⟩ := by ext; rfl
 #align non_unital_alg_hom.coe_distrib_mul_action_hom_mk NonUnitalAlgHom.coe_distribMulActionHom_mk
+-/
 
+#print NonUnitalAlgHom.coe_mulHom_mk /-
 @[norm_cast]
 theorem coe_mulHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) :
     ((⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) : A →ₙ* B) = ⟨f, h₄⟩ := by ext; rfl
 #align non_unital_alg_hom.coe_mul_hom_mk NonUnitalAlgHom.coe_mulHom_mk
+-/
 
+#print NonUnitalAlgHom.map_smul /-
 @[simp]
 protected theorem map_smul (f : A →ₙₐ[R] B) (c : R) (x : A) : f (c • x) = c • f x :=
   map_smul _ _ _
 #align non_unital_alg_hom.map_smul NonUnitalAlgHom.map_smul
+-/
 
+#print NonUnitalAlgHom.map_add /-
 @[simp]
 protected theorem map_add (f : A →ₙₐ[R] B) (x y : A) : f (x + y) = f x + f y :=
   map_add _ _ _
 #align non_unital_alg_hom.map_add NonUnitalAlgHom.map_add
+-/
 
+#print NonUnitalAlgHom.map_mul /-
 @[simp]
 protected theorem map_mul (f : A →ₙₐ[R] B) (x y : A) : f (x * y) = f x * f y :=
   map_mul _ _ _
 #align non_unital_alg_hom.map_mul NonUnitalAlgHom.map_mul
+-/
 
+#print NonUnitalAlgHom.map_zero /-
 @[simp]
 protected theorem map_zero (f : A →ₙₐ[R] B) : f 0 = 0 :=
   map_zero _
 #align non_unital_alg_hom.map_zero NonUnitalAlgHom.map_zero
+-/
 
 instance : Zero (A →ₙₐ[R] B) :=
   ⟨{ (0 : A →+[R] B) with map_mul' := by simp }⟩
@@ -252,23 +286,31 @@ instance : Zero (A →ₙₐ[R] B) :=
 instance : One (A →ₙₐ[R] A) :=
   ⟨{ (1 : A →+[R] A) with map_mul' := by simp }⟩
 
+#print NonUnitalAlgHom.coe_zero /-
 @[simp]
 theorem coe_zero : ((0 : A →ₙₐ[R] B) : A → B) = 0 :=
   rfl
 #align non_unital_alg_hom.coe_zero NonUnitalAlgHom.coe_zero
+-/
 
+#print NonUnitalAlgHom.coe_one /-
 @[simp]
 theorem coe_one : ((1 : A →ₙₐ[R] A) : A → A) = id :=
   rfl
 #align non_unital_alg_hom.coe_one NonUnitalAlgHom.coe_one
+-/
 
+#print NonUnitalAlgHom.zero_apply /-
 theorem zero_apply (a : A) : (0 : A →ₙₐ[R] B) a = 0 :=
   rfl
 #align non_unital_alg_hom.zero_apply NonUnitalAlgHom.zero_apply
+-/
 
+#print NonUnitalAlgHom.one_apply /-
 theorem one_apply (a : A) : (1 : A →ₙₐ[R] A) a = a :=
   rfl
 #align non_unital_alg_hom.one_apply NonUnitalAlgHom.one_apply
+-/
 
 instance : Inhabited (A →ₙₐ[R] B) :=
   ⟨0⟩
@@ -280,27 +322,35 @@ def comp (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) : A →ₙₐ[R] C :=
 #align non_unital_alg_hom.comp NonUnitalAlgHom.comp
 -/
 
+#print NonUnitalAlgHom.coe_comp /-
 @[simp, norm_cast]
 theorem coe_comp (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) :
     (f.comp g : A → C) = (f : B → C) ∘ (g : A → B) :=
   rfl
 #align non_unital_alg_hom.coe_comp NonUnitalAlgHom.coe_comp
+-/
 
+#print NonUnitalAlgHom.comp_apply /-
 theorem comp_apply (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) (x : A) : f.comp g x = f (g x) :=
   rfl
 #align non_unital_alg_hom.comp_apply NonUnitalAlgHom.comp_apply
+-/
 
+#print NonUnitalAlgHom.inverse /-
 /-- The inverse of a bijective morphism is a morphism. -/
 def inverse (f : A →ₙₐ[R] B) (g : B → A) (h₁ : Function.LeftInverse g f)
     (h₂ : Function.RightInverse g f) : B →ₙₐ[R] A :=
   { (f : A →ₙ* B).inverse g h₁ h₂, (f : A →+[R] B).inverse g h₁ h₂ with }
 #align non_unital_alg_hom.inverse NonUnitalAlgHom.inverse
+-/
 
+#print NonUnitalAlgHom.coe_inverse /-
 @[simp]
 theorem coe_inverse (f : A →ₙₐ[R] B) (g : B → A) (h₁ : Function.LeftInverse g f)
     (h₂ : Function.RightInverse g f) : (inverse f g h₁ h₂ : B → A) = g :=
   rfl
 #align non_unital_alg_hom.coe_inverse NonUnitalAlgHom.coe_inverse
+-/
 
 /-! ### Operations on the product type
 
@@ -311,6 +361,7 @@ section Prod
 
 variable (R A B)
 
+#print NonUnitalAlgHom.fst /-
 /-- The first projection of a product is a non-unital alg_hom. -/
 @[simps]
 def fst : A × B →ₙₐ[R] A where
@@ -320,7 +371,9 @@ def fst : A × B →ₙₐ[R] A where
   map_smul' x y := rfl
   map_mul' x y := rfl
 #align non_unital_alg_hom.fst NonUnitalAlgHom.fst
+-/
 
+#print NonUnitalAlgHom.snd /-
 /-- The second projection of a product is a non-unital alg_hom. -/
 @[simps]
 def snd : A × B →ₙₐ[R] B where
@@ -330,9 +383,11 @@ def snd : A × B →ₙₐ[R] B where
   map_smul' x y := rfl
   map_mul' x y := rfl
 #align non_unital_alg_hom.snd NonUnitalAlgHom.snd
+-/
 
 variable {R A B}
 
+#print NonUnitalAlgHom.prod /-
 /-- The prod of two morphisms is a morphism. -/
 @[simps]
 def prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : A →ₙₐ[R] B × C
@@ -343,10 +398,13 @@ def prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : A →ₙₐ[R] B × C
   map_mul' x y := by simp only [Pi.prod, Prod.mk_mul_mk, map_mul]
   map_smul' c x := by simp only [Pi.prod, Prod.smul_mk, map_smul, RingHom.id_apply]
 #align non_unital_alg_hom.prod NonUnitalAlgHom.prod
+-/
 
+#print NonUnitalAlgHom.coe_prod /-
 theorem coe_prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : ⇑(f.Prod g) = Pi.prod f g :=
   rfl
 #align non_unital_alg_hom.coe_prod NonUnitalAlgHom.coe_prod
+-/
 
 #print NonUnitalAlgHom.fst_prod /-
 @[simp]
@@ -362,11 +420,14 @@ theorem snd_prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : (snd R B C).com
 #align non_unital_alg_hom.snd_prod NonUnitalAlgHom.snd_prod
 -/
 
+#print NonUnitalAlgHom.prod_fst_snd /-
 @[simp]
 theorem prod_fst_snd : prod (fst R A B) (snd R A B) = 1 :=
   coe_injective Pi.prod_fst_snd
 #align non_unital_alg_hom.prod_fst_snd NonUnitalAlgHom.prod_fst_snd
+-/
 
+#print NonUnitalAlgHom.prodEquiv /-
 /-- Taking the product of two maps with the same domain is equivalent to taking the product of
 their codomains. -/
 @[simps]
@@ -377,38 +438,51 @@ def prodEquiv : (A →ₙₐ[R] B) × (A →ₙₐ[R] C) ≃ (A →ₙₐ[R] B 
   left_inv f := by ext <;> rfl
   right_inv f := by ext <;> rfl
 #align non_unital_alg_hom.prod_equiv NonUnitalAlgHom.prodEquiv
+-/
 
 variable (R A B)
 
+#print NonUnitalAlgHom.inl /-
 /-- The left injection into a product is a non-unital algebra homomorphism. -/
 def inl : A →ₙₐ[R] A × B :=
   prod 1 0
 #align non_unital_alg_hom.inl NonUnitalAlgHom.inl
+-/
 
+#print NonUnitalAlgHom.inr /-
 /-- The right injection into a product is a non-unital algebra homomorphism. -/
 def inr : B →ₙₐ[R] A × B :=
   prod 0 1
 #align non_unital_alg_hom.inr NonUnitalAlgHom.inr
+-/
 
 variable {R A B}
 
+#print NonUnitalAlgHom.coe_inl /-
 @[simp]
 theorem coe_inl : (inl R A B : A → A × B) = fun x => (x, 0) :=
   rfl
 #align non_unital_alg_hom.coe_inl NonUnitalAlgHom.coe_inl
+-/
 
+#print NonUnitalAlgHom.inl_apply /-
 theorem inl_apply (x : A) : inl R A B x = (x, 0) :=
   rfl
 #align non_unital_alg_hom.inl_apply NonUnitalAlgHom.inl_apply
+-/
 
+#print NonUnitalAlgHom.coe_inr /-
 @[simp]
 theorem coe_inr : (inr R A B : B → A × B) = Prod.mk 0 :=
   rfl
 #align non_unital_alg_hom.coe_inr NonUnitalAlgHom.coe_inr
+-/
 
+#print NonUnitalAlgHom.inr_apply /-
 theorem inr_apply (x : B) : inr R A B x = (0, x) :=
   rfl
 #align non_unital_alg_hom.inr_apply NonUnitalAlgHom.inr_apply
+-/
 
 end Prod
 
@@ -432,19 +506,25 @@ def toNonUnitalAlgHom (f : A →ₐ[R] B) : A →ₙₐ[R] B :=
 #align alg_hom.to_non_unital_alg_hom AlgHom.toNonUnitalAlgHom
 -/
 
+#print AlgHom.NonUnitalAlgHom.hasCoe /-
 instance NonUnitalAlgHom.hasCoe : Coe (A →ₐ[R] B) (A →ₙₐ[R] B) :=
   ⟨toNonUnitalAlgHom⟩
 #align alg_hom.non_unital_alg_hom.has_coe AlgHom.NonUnitalAlgHom.hasCoe
+-/
 
+#print AlgHom.toNonUnitalAlgHom_eq_coe /-
 @[simp]
 theorem toNonUnitalAlgHom_eq_coe (f : A →ₐ[R] B) : f.toNonUnitalAlgHom = f :=
   rfl
 #align alg_hom.to_non_unital_alg_hom_eq_coe AlgHom.toNonUnitalAlgHom_eq_coe
+-/
 
+#print AlgHom.coe_to_nonUnitalAlgHom /-
 @[simp, norm_cast]
 theorem coe_to_nonUnitalAlgHom (f : A →ₐ[R] B) : ((f : A →ₙₐ[R] B) : A → B) = f :=
   rfl
 #align alg_hom.coe_to_non_unital_alg_hom AlgHom.coe_to_nonUnitalAlgHom
+-/
 
 end AlgHom
 

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

@@ -58,7 +58,7 @@ variable (R : Type u) (A : Type v) (B : Type w) (C : Type w₁)
 /-- A morphism respecting addition, multiplication, and scalar multiplication. When these arise from
 algebra structures, this is the same as a not-necessarily-unital morphism of algebras. -/
 structure NonUnitalAlgHom [Monoid R] [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
-  [NonUnitalNonAssocSemiring B] [DistribMulAction R B] extends A →+[R] B, A →ₙ* B
+    [NonUnitalNonAssocSemiring B] [DistribMulAction R B] extends A →+[R] B, A →ₙ* B
 #align non_unital_alg_hom NonUnitalAlgHom
 -/
 
@@ -76,9 +76,9 @@ attribute [nolint doc_blame] NonUnitalAlgHom.toMulHom
 /-- `non_unital_alg_hom_class F R A B` asserts `F` is a type of bundled algebra homomorphisms
 from `A` to `B`.  -/
 class NonUnitalAlgHomClass (F : Type _) (R : outParam (Type _)) (A : outParam (Type _))
-  (B : outParam (Type _)) [Monoid R] [NonUnitalNonAssocSemiring A] [NonUnitalNonAssocSemiring B]
-  [DistribMulAction R A] [DistribMulAction R B] extends DistribMulActionHomClass F R A B,
-  MulHomClass F A B
+    (B : outParam (Type _)) [Monoid R] [NonUnitalNonAssocSemiring A] [NonUnitalNonAssocSemiring B]
+    [DistribMulAction R A] [DistribMulAction R B] extends DistribMulActionHomClass F R A B,
+    MulHomClass F A B
 #align non_unital_alg_hom_class NonUnitalAlgHomClass
 -/
 

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

@@ -195,12 +195,10 @@ theorem toMulHom_eq_coe (f : A →ₙₐ[R] B) : f.toMulHom = ↑f :=
   rfl
 #align non_unital_alg_hom.to_mul_hom_eq_coe NonUnitalAlgHom.toMulHom_eq_coe
 
-#print NonUnitalAlgHom.coe_to_distribMulActionHom /-
 @[simp, norm_cast]
 theorem coe_to_distribMulActionHom (f : A →ₙₐ[R] B) : ((f : A →+[R] B) : A → B) = f :=
   rfl
 #align non_unital_alg_hom.coe_to_distrib_mul_action_hom NonUnitalAlgHom.coe_to_distribMulActionHom
--/
 
 @[simp, norm_cast]
 theorem coe_to_mulHom (f : A →ₙₐ[R] B) : ((f : A →ₙ* B) : A → B) = f :=

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

@@ -129,12 +129,6 @@ variable [NonUnitalNonAssocSemiring C] [DistribMulAction R C]
 instance : CoeFun (A →ₙₐ[R] B) fun _ => A → B :=
   ⟨toFun⟩
 
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 @[simp]
 theorem toFun_eq_coe (f : A →ₙₐ[R] B) : f.toFun = ⇑f :=
   rfl
@@ -142,20 +136,11 @@ theorem toFun_eq_coe (f : A →ₙₐ[R] B) : f.toFun = ⇑f :=
 
 initialize_simps_projections NonUnitalAlgHom (toFun → apply)
 
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 @[simp, protected]
 theorem coe_coe {F : Type _} [NonUnitalAlgHomClass F R A B] (f : F) : ⇑(f : A →ₙₐ[R] B) = f :=
   rfl
 #align non_unital_alg_hom.coe_coe NonUnitalAlgHom.coe_coe
 
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 theorem coe_injective : @Function.Injective (A →ₙₐ[R] B) (A → B) coeFn := by
   rintro ⟨f, _⟩ ⟨g, _⟩ ⟨h⟩ <;> congr
 #align non_unital_alg_hom.coe_injective NonUnitalAlgHom.coe_injective
@@ -169,48 +154,24 @@ instance : NonUnitalAlgHomClass (A →ₙₐ[R] B) R A B
   map_zero f := f.map_zero'
   map_mul f := f.map_mul'
 
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 @[ext]
 theorem ext {f g : A →ₙₐ[R] B} (h : ∀ x, f x = g x) : f = g :=
   coe_injective <| funext h
 #align non_unital_alg_hom.ext NonUnitalAlgHom.ext
 
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 theorem ext_iff {f g : A →ₙₐ[R] B} : f = g ↔ ∀ x, f x = g x :=
   ⟨by rintro rfl x; rfl, ext⟩
 #align non_unital_alg_hom.ext_iff NonUnitalAlgHom.ext_iff
 
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 theorem congr_fun {f g : A →ₙₐ[R] B} (h : f = g) (x : A) : f x = g x :=
   h ▸ rfl
 #align non_unital_alg_hom.congr_fun NonUnitalAlgHom.congr_fun
 
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 @[simp]
 theorem coe_mk (f : A → B) (h₁ h₂ h₃ h₄) : ((⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) : A → B) = f :=
   rfl
 #align non_unital_alg_hom.coe_mk NonUnitalAlgHom.coe_mk
 
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 @[simp]
 theorem mk_coe (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) : (⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) = f := by ext;
   rfl
@@ -229,9 +190,6 @@ theorem toDistribMulActionHom_eq_coe (f : A →ₙₐ[R] B) : f.toDistribMulActi
 #align non_unital_alg_hom.to_distrib_mul_action_hom_eq_coe NonUnitalAlgHom.toDistribMulActionHom_eq_coe
 -/
 
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 @[simp]
 theorem toMulHom_eq_coe (f : A →ₙₐ[R] B) : f.toMulHom = ↑f :=
   rfl
@@ -244,9 +202,6 @@ theorem coe_to_distribMulActionHom (f : A →ₙₐ[R] B) : ((f : A →+[R] B) :
 #align non_unital_alg_hom.coe_to_distrib_mul_action_hom NonUnitalAlgHom.coe_to_distribMulActionHom
 -/
 
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 @[simp, norm_cast]
 theorem coe_to_mulHom (f : A →ₙₐ[R] B) : ((f : A →ₙ* B) : A → B) = f :=
   rfl
@@ -259,68 +214,35 @@ theorem to_distribMulActionHom_injective {f g : A →ₙₐ[R] B}
 #align non_unital_alg_hom.to_distrib_mul_action_hom_injective NonUnitalAlgHom.to_distribMulActionHom_injective
 -/
 
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 theorem to_mulHom_injective {f g : A →ₙₐ[R] B} (h : (f : A →ₙ* B) = (g : A →ₙ* B)) : f = g := by
   ext a; exact MulHom.congr_fun h a
 #align non_unital_alg_hom.to_mul_hom_injective NonUnitalAlgHom.to_mulHom_injective
 
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 @[norm_cast]
 theorem coe_distribMulActionHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) :
     ((⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) : A →+[R] B) = ⟨f, h₁, h₂, h₃⟩ := by ext; rfl
 #align non_unital_alg_hom.coe_distrib_mul_action_hom_mk NonUnitalAlgHom.coe_distribMulActionHom_mk
 
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 @[norm_cast]
 theorem coe_mulHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) :
     ((⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) : A →ₙ* B) = ⟨f, h₄⟩ := by ext; rfl
 #align non_unital_alg_hom.coe_mul_hom_mk NonUnitalAlgHom.coe_mulHom_mk
 
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 @[simp]
 protected theorem map_smul (f : A →ₙₐ[R] B) (c : R) (x : A) : f (c • x) = c • f x :=
   map_smul _ _ _
 #align non_unital_alg_hom.map_smul NonUnitalAlgHom.map_smul
 
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 @[simp]
 protected theorem map_add (f : A →ₙₐ[R] B) (x y : A) : f (x + y) = f x + f y :=
   map_add _ _ _
 #align non_unital_alg_hom.map_add NonUnitalAlgHom.map_add
 
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 @[simp]
 protected theorem map_mul (f : A →ₙₐ[R] B) (x y : A) : f (x * y) = f x * f y :=
   map_mul _ _ _
 #align non_unital_alg_hom.map_mul NonUnitalAlgHom.map_mul
 
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 @[simp]
 protected theorem map_zero (f : A →ₙₐ[R] B) : f 0 = 0 :=
   map_zero _
@@ -332,44 +254,20 @@ instance : Zero (A →ₙₐ[R] B) :=
 instance : One (A →ₙₐ[R] A) :=
   ⟨{ (1 : A →+[R] A) with map_mul' := by simp }⟩
 
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 @[simp]
 theorem coe_zero : ((0 : A →ₙₐ[R] B) : A → B) = 0 :=
   rfl
 #align non_unital_alg_hom.coe_zero NonUnitalAlgHom.coe_zero
 
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 @[simp]
 theorem coe_one : ((1 : A →ₙₐ[R] A) : A → A) = id :=
   rfl
 #align non_unital_alg_hom.coe_one NonUnitalAlgHom.coe_one
 
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 theorem zero_apply (a : A) : (0 : A →ₙₐ[R] B) a = 0 :=
   rfl
 #align non_unital_alg_hom.zero_apply NonUnitalAlgHom.zero_apply
 
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 theorem one_apply (a : A) : (1 : A →ₙₐ[R] A) a = a :=
   rfl
 #align non_unital_alg_hom.one_apply NonUnitalAlgHom.one_apply
@@ -384,43 +282,22 @@ def comp (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) : A →ₙₐ[R] C :=
 #align non_unital_alg_hom.comp NonUnitalAlgHom.comp
 -/
 
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 @[simp, norm_cast]
 theorem coe_comp (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) :
     (f.comp g : A → C) = (f : B → C) ∘ (g : A → B) :=
   rfl
 #align non_unital_alg_hom.coe_comp NonUnitalAlgHom.coe_comp
 
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 theorem comp_apply (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) (x : A) : f.comp g x = f (g x) :=
   rfl
 #align non_unital_alg_hom.comp_apply NonUnitalAlgHom.comp_apply
 
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 /-- The inverse of a bijective morphism is a morphism. -/
 def inverse (f : A →ₙₐ[R] B) (g : B → A) (h₁ : Function.LeftInverse g f)
     (h₂ : Function.RightInverse g f) : B →ₙₐ[R] A :=
   { (f : A →ₙ* B).inverse g h₁ h₂, (f : A →+[R] B).inverse g h₁ h₂ with }
 #align non_unital_alg_hom.inverse NonUnitalAlgHom.inverse
 
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 @[simp]
 theorem coe_inverse (f : A →ₙₐ[R] B) (g : B → A) (h₁ : Function.LeftInverse g f)
     (h₂ : Function.RightInverse g f) : (inverse f g h₁ h₂ : B → A) = g :=
@@ -436,12 +313,6 @@ section Prod
 
 variable (R A B)
 
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 /-- The first projection of a product is a non-unital alg_hom. -/
 @[simps]
 def fst : A × B →ₙₐ[R] A where
@@ -452,12 +323,6 @@ def fst : A × B →ₙₐ[R] A where
   map_mul' x y := rfl
 #align non_unital_alg_hom.fst NonUnitalAlgHom.fst
 
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 /-- The second projection of a product is a non-unital alg_hom. -/
 @[simps]
 def snd : A × B →ₙₐ[R] B where
@@ -470,12 +335,6 @@ def snd : A × B →ₙₐ[R] B where
 
 variable {R A B}
 
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 /-- The prod of two morphisms is a morphism. -/
 @[simps]
 def prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : A →ₙₐ[R] B × C
@@ -487,12 +346,6 @@ def prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : A →ₙₐ[R] B × C
   map_smul' c x := by simp only [Pi.prod, Prod.smul_mk, map_smul, RingHom.id_apply]
 #align non_unital_alg_hom.prod NonUnitalAlgHom.prod
 
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 theorem coe_prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : ⇑(f.Prod g) = Pi.prod f g :=
   rfl
 #align non_unital_alg_hom.coe_prod NonUnitalAlgHom.coe_prod
@@ -511,23 +364,11 @@ theorem snd_prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : (snd R B C).com
 #align non_unital_alg_hom.snd_prod NonUnitalAlgHom.snd_prod
 -/
 
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 @[simp]
 theorem prod_fst_snd : prod (fst R A B) (snd R A B) = 1 :=
   coe_injective Pi.prod_fst_snd
 #align non_unital_alg_hom.prod_fst_snd NonUnitalAlgHom.prod_fst_snd
 
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 /-- Taking the product of two maps with the same domain is equivalent to taking the product of
 their codomains. -/
 @[simps]
@@ -541,23 +382,11 @@ def prodEquiv : (A →ₙₐ[R] B) × (A →ₙₐ[R] C) ≃ (A →ₙₐ[R] B 
 
 variable (R A B)
 
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 /-- The left injection into a product is a non-unital algebra homomorphism. -/
 def inl : A →ₙₐ[R] A × B :=
   prod 1 0
 #align non_unital_alg_hom.inl NonUnitalAlgHom.inl
 
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 /-- The right injection into a product is a non-unital algebra homomorphism. -/
 def inr : B →ₙₐ[R] A × B :=
   prod 0 1
@@ -565,44 +394,20 @@ def inr : B →ₙₐ[R] A × B :=
 
 variable {R A B}
 
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 @[simp]
 theorem coe_inl : (inl R A B : A → A × B) = fun x => (x, 0) :=
   rfl
 #align non_unital_alg_hom.coe_inl NonUnitalAlgHom.coe_inl
 
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 theorem inl_apply (x : A) : inl R A B x = (x, 0) :=
   rfl
 #align non_unital_alg_hom.inl_apply NonUnitalAlgHom.inl_apply
 
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 @[simp]
 theorem coe_inr : (inr R A B : B → A × B) = Prod.mk 0 :=
   rfl
 #align non_unital_alg_hom.coe_inr NonUnitalAlgHom.coe_inr
 
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-Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.inr_apply NonUnitalAlgHom.inr_applyₓ'. -/
 theorem inr_apply (x : B) : inr R A B x = (0, x) :=
   rfl
 #align non_unital_alg_hom.inr_apply NonUnitalAlgHom.inr_apply
@@ -629,27 +434,15 @@ def toNonUnitalAlgHom (f : A →ₐ[R] B) : A →ₙₐ[R] B :=
 #align alg_hom.to_non_unital_alg_hom AlgHom.toNonUnitalAlgHom
 -/
 
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-Case conversion may be inaccurate. Consider using '#align alg_hom.non_unital_alg_hom.has_coe AlgHom.NonUnitalAlgHom.hasCoeₓ'. -/
 instance NonUnitalAlgHom.hasCoe : Coe (A →ₐ[R] B) (A →ₙₐ[R] B) :=
   ⟨toNonUnitalAlgHom⟩
 #align alg_hom.non_unital_alg_hom.has_coe AlgHom.NonUnitalAlgHom.hasCoe
 
-/- warning: alg_hom.to_non_unital_alg_hom_eq_coe -> AlgHom.toNonUnitalAlgHom_eq_coe is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align alg_hom.to_non_unital_alg_hom_eq_coe AlgHom.toNonUnitalAlgHom_eq_coeₓ'. -/
 @[simp]
 theorem toNonUnitalAlgHom_eq_coe (f : A →ₐ[R] B) : f.toNonUnitalAlgHom = f :=
   rfl
 #align alg_hom.to_non_unital_alg_hom_eq_coe AlgHom.toNonUnitalAlgHom_eq_coe
 
-/- warning: alg_hom.coe_to_non_unital_alg_hom -> AlgHom.coe_to_nonUnitalAlgHom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align alg_hom.coe_to_non_unital_alg_hom AlgHom.coe_to_nonUnitalAlgHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_nonUnitalAlgHom (f : A →ₐ[R] B) : ((f : A →ₙₐ[R] B) : A → B) = f :=
   rfl

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

@@ -187,9 +187,7 @@ but is expected to have type
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] {f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, Iff (Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) (forall (x : A), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.ext_iff NonUnitalAlgHom.ext_iffₓ'. -/
 theorem ext_iff {f g : A →ₙₐ[R] B} : f = g ↔ ∀ x, f x = g x :=
-  ⟨by
-    rintro rfl x
-    rfl, ext⟩
+  ⟨by rintro rfl x; rfl, ext⟩
 #align non_unital_alg_hom.ext_iff NonUnitalAlgHom.ext_iff
 
 /- warning: non_unital_alg_hom.congr_fun -> NonUnitalAlgHom.congr_fun is a dubious translation:
@@ -214,9 +212,7 @@ theorem coe_mk (f : A → B) (h₁ h₂ h₃ h₄) : ((⟨f, h₁, h₂, h₃, h
 <too large>
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.mk_coe NonUnitalAlgHom.mk_coeₓ'. -/
 @[simp]
-theorem mk_coe (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) : (⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) = f :=
-  by
-  ext
+theorem mk_coe (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) : (⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) = f := by ext;
   rfl
 #align non_unital_alg_hom.mk_coe NonUnitalAlgHom.mk_coe
 
@@ -258,9 +254,7 @@ theorem coe_to_mulHom (f : A →ₙₐ[R] B) : ((f : A →ₙ* B) : A → B) = f
 
 #print NonUnitalAlgHom.to_distribMulActionHom_injective /-
 theorem to_distribMulActionHom_injective {f g : A →ₙₐ[R] B}
-    (h : (f : A →+[R] B) = (g : A →+[R] B)) : f = g :=
-  by
-  ext a
+    (h : (f : A →+[R] B) = (g : A →+[R] B)) : f = g := by ext a;
   exact DistribMulActionHom.congr_fun h a
 #align non_unital_alg_hom.to_distrib_mul_action_hom_injective NonUnitalAlgHom.to_distribMulActionHom_injective
 -/
@@ -268,10 +262,8 @@ theorem to_distribMulActionHom_injective {f g : A →ₙₐ[R] B}
 /- warning: non_unital_alg_hom.to_mul_hom_injective -> NonUnitalAlgHom.to_mulHom_injective is a dubious translation:
 <too large>
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.to_mul_hom_injective NonUnitalAlgHom.to_mulHom_injectiveₓ'. -/
-theorem to_mulHom_injective {f g : A →ₙₐ[R] B} (h : (f : A →ₙ* B) = (g : A →ₙ* B)) : f = g :=
-  by
-  ext a
-  exact MulHom.congr_fun h a
+theorem to_mulHom_injective {f g : A →ₙₐ[R] B} (h : (f : A →ₙ* B) = (g : A →ₙ* B)) : f = g := by
+  ext a; exact MulHom.congr_fun h a
 #align non_unital_alg_hom.to_mul_hom_injective NonUnitalAlgHom.to_mulHom_injective
 
 /- warning: non_unital_alg_hom.coe_distrib_mul_action_hom_mk -> NonUnitalAlgHom.coe_distribMulActionHom_mk is a dubious translation:
@@ -279,10 +271,7 @@ theorem to_mulHom_injective {f g : A →ₙₐ[R] B} (h : (f : A →ₙ* B) = (g
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_distrib_mul_action_hom_mk NonUnitalAlgHom.coe_distribMulActionHom_mkₓ'. -/
 @[norm_cast]
 theorem coe_distribMulActionHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) :
-    ((⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) : A →+[R] B) = ⟨f, h₁, h₂, h₃⟩ :=
-  by
-  ext
-  rfl
+    ((⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) : A →+[R] B) = ⟨f, h₁, h₂, h₃⟩ := by ext; rfl
 #align non_unital_alg_hom.coe_distrib_mul_action_hom_mk NonUnitalAlgHom.coe_distribMulActionHom_mk
 
 /- warning: non_unital_alg_hom.coe_mul_hom_mk -> NonUnitalAlgHom.coe_mulHom_mk is a dubious translation:
@@ -290,10 +279,7 @@ theorem coe_distribMulActionHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄)
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_mul_hom_mk NonUnitalAlgHom.coe_mulHom_mkₓ'. -/
 @[norm_cast]
 theorem coe_mulHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) :
-    ((⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) : A →ₙ* B) = ⟨f, h₄⟩ :=
-  by
-  ext
-  rfl
+    ((⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) : A →ₙ* B) = ⟨f, h₄⟩ := by ext; rfl
 #align non_unital_alg_hom.coe_mul_hom_mk NonUnitalAlgHom.coe_mulHom_mk
 
 /- warning: non_unital_alg_hom.map_smul -> NonUnitalAlgHom.map_smul is a dubious translation:

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

@@ -143,10 +143,7 @@ theorem toFun_eq_coe (f : A →ₙₐ[R] B) : f.toFun = ⇑f :=
 initialize_simps_projections NonUnitalAlgHom (toFun → apply)
 
 /- warning: non_unital_alg_hom.coe_coe -> NonUnitalAlgHom.coe_coe is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_coe NonUnitalAlgHom.coe_coeₓ'. -/
 @[simp, protected]
 theorem coe_coe {F : Type _} [NonUnitalAlgHomClass F R A B] (f : F) : ⇑(f : A →ₙₐ[R] B) = f :=
@@ -206,10 +203,7 @@ theorem congr_fun {f g : A →ₙₐ[R] B} (h : f = g) (x : A) : f x = g x :=
 #align non_unital_alg_hom.congr_fun NonUnitalAlgHom.congr_fun
 
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A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (AddZeroClass.toZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))))))) (OfNat.ofNat.{u3} B 0 (Zero.toOfNat0.{u3} B (AddZeroClass.toZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))))))) (h₃ : forall (x : A) (y : A), Eq.{succ u3} B (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))))) x y)) (HAdd.hAdd.{u3, u3, u3} B B B (instHAdd.{u3} B (AddZeroClass.toAdd.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))))) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) x) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) y))) (h₄ : forall (x : A) (y : A), Eq.{succ u3} B (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) h₂ h₃)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) x y)) (HMul.hMul.{u3, u3, u3} B B B (instHMul.{u3} B (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B 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+<too large>
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_mk NonUnitalAlgHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : A → B) (h₁ h₂ h₃ h₄) : ((⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) : A → B) = f :=
@@ -217,10 +211,7 @@ theorem coe_mk (f : A → B) (h₁ h₂ h₃ h₄) : ((⟨f, h₁, h₂, h₃, h
 #align non_unital_alg_hom.coe_mk NonUnitalAlgHom.coe_mk
 
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_inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B 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 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.mk_coe NonUnitalAlgHom.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) : (⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) = f :=
@@ -243,10 +234,7 @@ theorem toDistribMulActionHom_eq_coe (f : A →ₙₐ[R] B) : f.toDistribMulActi
 -/
 
 /- warning: non_unital_alg_hom.to_mul_hom_eq_coe -> NonUnitalAlgHom.toMulHom_eq_coe is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.to_mul_hom_eq_coe NonUnitalAlgHom.toMulHom_eq_coeₓ'. -/
 @[simp]
 theorem toMulHom_eq_coe (f : A →ₙₐ[R] B) : f.toMulHom = ↑f :=
@@ -261,10 +249,7 @@ theorem coe_to_distribMulActionHom (f : A →ₙₐ[R] B) : ((f : A →+[R] B) :
 -/
 
 /- warning: non_unital_alg_hom.coe_to_mul_hom -> NonUnitalAlgHom.coe_to_mulHom is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_to_mul_hom NonUnitalAlgHom.coe_to_mulHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_mulHom (f : A →ₙₐ[R] B) : ((f : A →ₙ* B) : A → B) = f :=
@@ -281,10 +266,7 @@ theorem to_distribMulActionHom_injective {f g : A →ₙₐ[R] B}
 -/
 
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 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.to_mul_hom_injective NonUnitalAlgHom.to_mulHom_injectiveₓ'. -/
 theorem to_mulHom_injective {f g : A →ₙₐ[R] B} (h : (f : A →ₙ* B) = (g : A →ₙ* B)) : f = g :=
   by
@@ -293,10 +275,7 @@ theorem to_mulHom_injective {f g : A →ₙₐ[R] B} (h : (f : A →ₙ* B) = (g
 #align non_unital_alg_hom.to_mul_hom_injective NonUnitalAlgHom.to_mulHom_injective
 
 /- warning: non_unital_alg_hom.coe_distrib_mul_action_hom_mk -> NonUnitalAlgHom.coe_distribMulActionHom_mk is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_distrib_mul_action_hom_mk NonUnitalAlgHom.coe_distribMulActionHom_mkₓ'. -/
 @[norm_cast]
 theorem coe_distribMulActionHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) :
@@ -307,10 +286,7 @@ theorem coe_distribMulActionHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄)
 #align non_unital_alg_hom.coe_distrib_mul_action_hom_mk NonUnitalAlgHom.coe_distribMulActionHom_mk
 
 /- warning: non_unital_alg_hom.coe_mul_hom_mk -> NonUnitalAlgHom.coe_mulHom_mk is a dubious translation:
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_inst_5)))) m (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))) (h₂ : Eq.{succ u3} B (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B 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(DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B 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_inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B 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 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_mul_hom_mk NonUnitalAlgHom.coe_mulHom_mkₓ'. -/
 @[norm_cast]
 theorem coe_mulHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) :
@@ -435,10 +411,7 @@ theorem coe_comp (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) :
 #align non_unital_alg_hom.coe_comp NonUnitalAlgHom.coe_comp
 
 /- warning: non_unital_alg_hom.comp_apply -> NonUnitalAlgHom.comp_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.comp_apply NonUnitalAlgHom.comp_applyₓ'. -/
 theorem comp_apply (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) (x : A) : f.comp g x = f (g x) :=
   rfl
@@ -681,10 +654,7 @@ instance NonUnitalAlgHom.hasCoe : Coe (A →ₐ[R] B) (A →ₙₐ[R] B) :=
 #align alg_hom.non_unital_alg_hom.has_coe AlgHom.NonUnitalAlgHom.hasCoe
 
 /- warning: alg_hom.to_non_unital_alg_hom_eq_coe -> AlgHom.toNonUnitalAlgHom_eq_coe is a dubious translation:
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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (NonUnitalAlgHomClass.NonUnitalAlgHom.hasCoeT.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.nonUnitalAlgHomClass.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f)
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(Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (AlgHom.toNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f) (let src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220 : NonUnitalRingHom.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) := NonUnitalRingHomClass.toNonUnitalRingHom.{max u2 u3, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (NonUnitalAlgHomClass.toNonUnitalRingHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) f; NonUnitalAlgHom.mk.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (DistribMulActionHom.mk.{u1, u2, u3} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4)) B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4))))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (FunLike.coe.{succ (max u2 u3), succ u2, succ u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) a) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A 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+<too large>
 Case conversion may be inaccurate. Consider using '#align alg_hom.to_non_unital_alg_hom_eq_coe AlgHom.toNonUnitalAlgHom_eq_coeₓ'. -/
 @[simp]
 theorem toNonUnitalAlgHom_eq_coe (f : A →ₐ[R] B) : f.toNonUnitalAlgHom = f :=
@@ -692,10 +662,7 @@ theorem toNonUnitalAlgHom_eq_coe (f : A →ₐ[R] B) : f.toNonUnitalAlgHom = f :
 #align alg_hom.to_non_unital_alg_hom_eq_coe AlgHom.toNonUnitalAlgHom_eq_coe
 
 /- warning: alg_hom.coe_to_non_unital_alg_hom -> AlgHom.coe_to_nonUnitalAlgHom is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align alg_hom.coe_to_non_unital_alg_hom AlgHom.coe_to_nonUnitalAlgHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_nonUnitalAlgHom (f : A →ₐ[R] B) : ((f : A →ₙₐ[R] B) : A → B) = f :=

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

@@ -146,7 +146,7 @@ initialize_simps_projections NonUnitalAlgHom (toFun → apply)
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] {F : Type.{u4}} [_inst_8 : NonUnitalAlgHomClass.{u4, u1, u2, u3} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5] (f : F), Eq.{max (succ u2) (succ u3)} (A -> B) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) ((fun (a : Type.{u4}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{succ u4, max (succ u2) (succ u3)} a b] => self.0) F (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{succ u4, max (succ u2) (succ u3)} F (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{succ u4, max (succ u2) (succ u3)} F (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHomClass.NonUnitalAlgHom.hasCoeT.{u4, u1, u2, u3} F R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_8))) f)) (coeFn.{succ u4, max (succ u2) (succ u3)} F (fun (_x : F) => A -> B) (FunLike.hasCoeToFun.{succ u4, succ u2, succ u3} F A (fun (_x : A) => B) (SMulHomClass.toFunLike.{u4, u1, u2, u3} F R A B (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (DistribSMul.toSmulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)))) (DistribSMul.toSmulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHomClass.toSmulHomClass.{u4, u1, u2, u3} F R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5 (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u4, u1, u2, u3} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 _inst_8)))) f)
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u3}} {B : Type.{u4}} [_inst_1 : Monoid.{u2} R] [_inst_2 : NonUnitalNonAssocSemiring.{u3} A] [_inst_3 : DistribMulAction.{u2, u3} R A _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u4} B] [_inst_5 : DistribMulAction.{u2, u4} R B _inst_1 (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))] {F : Type.{u1}} [_inst_8 : NonUnitalAlgHomClass.{u1, u2, u3, u4} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5] (f : F), Eq.{max (succ u3) (succ u4)} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) ᾰ) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (NonUnitalAlgHom.{u2, u3, u4} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u2, u3, u4} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (let src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220 : NonUnitalRingHom.{u3, u4} A B _inst_2 _inst_4 := NonUnitalRingHomClass.toNonUnitalRingHom.{u1, u3, u4} F A B _inst_2 _inst_4 (NonUnitalAlgHomClass.toNonUnitalRingHomClass.{u1, u2, u3, u4} F R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_8) f; NonUnitalAlgHom.mk.{u2, u3, u4} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (DistribMulActionHom.mk.{u2, u3, u4} R _inst_1 A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_5 (MulActionHom.mk.{u2, u3, u4} R A (SMulZeroClass.toSMul.{u2, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribSMul.toSMulZeroClass.{u2, u3} R A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribMulAction.toDistribSMul.{u2, u3} R A _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u2, u4} R B (AddMonoid.toZero.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribSMul.toSMulZeroClass.{u2, u4} R B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribMulAction.toDistribSMul.{u2, u4} R B _inst_1 (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_5))) (FunLike.coe.{succ u1, succ u3, succ u4} F A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) a) (SMulHomClass.toFunLike.{u1, u2, u3, u4} F R A B (SMulZeroClass.toSMul.{u2, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribSMul.toSMulZeroClass.{u2, u3} R A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribMulAction.toDistribSMul.{u2, u3} R A _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) _inst_3))) (SMulZeroClass.toSMul.{u2, u4} R B (AddMonoid.toZero.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribSMul.toSMulZeroClass.{u2, u4} R B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribMulAction.toDistribSMul.{u2, u4} R B _inst_1 (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_5))) (DistribMulActionHomClass.toSMulHomClass.{u1, u2, u3, u4} F R A B _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_3 _inst_5 (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u1, u2, u3, u4} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 _inst_8))) f) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_1.{u4, u2, u3, u1} F R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_8 f)) (NonUnitalRingHom.map_zero'.{u3, u4} A B _inst_2 _inst_4 src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220) (NonUnitalRingHom.map_add'.{u3, u4} A B _inst_2 _inst_4 src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220)) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_2.{u4, u3, u1, u2} F R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_8 f))) (FunLike.coe.{succ u1, succ u3, succ u4} F A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) _x) (SMulHomClass.toFunLike.{u1, u2, u3, u4} F R A B (SMulZeroClass.toSMul.{u2, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribSMul.toSMulZeroClass.{u2, u3} R A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribMulAction.toDistribSMul.{u2, u3} R A _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) _inst_3))) (SMulZeroClass.toSMul.{u2, u4} R B (AddMonoid.toZero.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribSMul.toSMulZeroClass.{u2, u4} R B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribMulAction.toDistribSMul.{u2, u4} R B _inst_1 (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_5))) (DistribMulActionHomClass.toSMulHomClass.{u1, u2, u3, u4} F R A B _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_3 _inst_5 (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u1, u2, u3, u4} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 _inst_8))) f)
+  forall {R : Type.{u2}} {A : Type.{u3}} {B : Type.{u4}} [_inst_1 : Monoid.{u2} R] [_inst_2 : NonUnitalNonAssocSemiring.{u3} A] [_inst_3 : DistribMulAction.{u2, u3} R A _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u4} B] [_inst_5 : DistribMulAction.{u2, u4} R B _inst_1 (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))] {F : Type.{u1}} [_inst_8 : NonUnitalAlgHomClass.{u1, u2, u3, u4} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5] (f : F), Eq.{max (succ u3) (succ u4)} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) ᾰ) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (NonUnitalAlgHom.{u2, u3, u4} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u2, u3, u4} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (let src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220 : NonUnitalRingHom.{u3, u4} A B _inst_2 _inst_4 := NonUnitalRingHomClass.toNonUnitalRingHom.{u1, u3, u4} F A B _inst_2 _inst_4 (NonUnitalAlgHomClass.toNonUnitalRingHomClass.{u1, u2, u3, u4} F R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_8) f; NonUnitalAlgHom.mk.{u2, u3, u4} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (DistribMulActionHom.mk.{u2, u3, u4} R _inst_1 A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_5 (MulActionHom.mk.{u2, u3, u4} R A (SMulZeroClass.toSMul.{u2, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribSMul.toSMulZeroClass.{u2, u3} R A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribMulAction.toDistribSMul.{u2, u3} R A _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u2, u4} R B (AddMonoid.toZero.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribSMul.toSMulZeroClass.{u2, u4} R B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribMulAction.toDistribSMul.{u2, u4} R B _inst_1 (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_5))) (FunLike.coe.{succ u1, succ u3, succ u4} F A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) a) (SMulHomClass.toFunLike.{u1, u2, u3, u4} F R A B (SMulZeroClass.toSMul.{u2, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribSMul.toSMulZeroClass.{u2, u3} R A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribMulAction.toDistribSMul.{u2, u3} R A _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) _inst_3))) (SMulZeroClass.toSMul.{u2, u4} R B (AddMonoid.toZero.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribSMul.toSMulZeroClass.{u2, u4} R B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribMulAction.toDistribSMul.{u2, u4} R B _inst_1 (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_5))) (DistribMulActionHomClass.toSMulHomClass.{u1, u2, u3, u4} F R A B _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_3 _inst_5 (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u1, u2, u3, u4} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 _inst_8))) f) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_1.{u4, u2, u3, u1} F R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_8 f)) (NonUnitalRingHom.map_zero'.{u3, u4} A B _inst_2 _inst_4 src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220) (NonUnitalRingHom.map_add'.{u3, u4} A B _inst_2 _inst_4 src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220)) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_2.{u4, u3, u1, u2} F R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_8 f))) (FunLike.coe.{succ u1, succ u3, succ u4} F A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) _x) (SMulHomClass.toFunLike.{u1, u2, u3, u4} F R A B (SMulZeroClass.toSMul.{u2, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribSMul.toSMulZeroClass.{u2, u3} R A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribMulAction.toDistribSMul.{u2, u3} R A _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) _inst_3))) (SMulZeroClass.toSMul.{u2, u4} R B (AddMonoid.toZero.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribSMul.toSMulZeroClass.{u2, u4} R B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribMulAction.toDistribSMul.{u2, u4} R B _inst_1 (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_5))) (DistribMulActionHomClass.toSMulHomClass.{u1, u2, u3, u4} F R A B _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_3 _inst_5 (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u1, u2, u3, u4} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 _inst_8))) f)
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_coe NonUnitalAlgHom.coe_coeₓ'. -/
 @[simp, protected]
 theorem coe_coe {F : Type _} [NonUnitalAlgHomClass F R A B] (f : F) : ⇑(f : A →ₙₐ[R] B) = f :=
@@ -684,7 +684,7 @@ instance NonUnitalAlgHom.hasCoe : Coe (A →ₐ[R] B) (A →ₙₐ[R] B) :=
 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 : AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (AlgHom.toNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (NonUnitalAlgHomClass.NonUnitalAlgHom.hasCoeT.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.nonUnitalAlgHomClass.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f)
 but is expected to have type
-  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 : AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (AlgHom.toNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f) (let src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220 : NonUnitalRingHom.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) := NonUnitalRingHomClass.toNonUnitalRingHom.{max u2 u3, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (NonUnitalAlgHomClass.toNonUnitalRingHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) f; NonUnitalAlgHom.mk.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (DistribMulActionHom.mk.{u1, u2, u3} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4)) B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4))))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (FunLike.coe.{succ (max u2 u3), succ u2, succ u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) a) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4))))) (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_1.{u3, u1, u2, max u2 u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f)) (NonUnitalRingHom.map_zero'.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220) (NonUnitalRingHom.map_add'.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220)) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_2.{u3, u2, max u2 u3, u1} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f))
+  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 : AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (AlgHom.toNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f) (let src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220 : NonUnitalRingHom.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) := NonUnitalRingHomClass.toNonUnitalRingHom.{max u2 u3, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (NonUnitalAlgHomClass.toNonUnitalRingHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) f; NonUnitalAlgHom.mk.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (DistribMulActionHom.mk.{u1, u2, u3} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4)) B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4))))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (FunLike.coe.{succ (max u2 u3), succ u2, succ u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) a) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4))))) (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_1.{u3, u1, u2, max u2 u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f)) (NonUnitalRingHom.map_zero'.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220) (NonUnitalRingHom.map_add'.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220)) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_2.{u3, u2, max u2 u3, u1} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f))
 Case conversion may be inaccurate. Consider using '#align alg_hom.to_non_unital_alg_hom_eq_coe AlgHom.toNonUnitalAlgHom_eq_coeₓ'. -/
 @[simp]
 theorem toNonUnitalAlgHom_eq_coe (f : A →ₐ[R] B) : f.toNonUnitalAlgHom = f :=
@@ -695,7 +695,7 @@ theorem toNonUnitalAlgHom_eq_coe (f : A →ₐ[R] B) : f.toNonUnitalAlgHom = f :
 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 : AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} ((fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) => A -> B) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A 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 but is expected to have type
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+  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 : AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (AlgHom.toNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : A) => B) _x) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4))))) (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f)
 Case conversion may be inaccurate. Consider using '#align alg_hom.coe_to_non_unital_alg_hom AlgHom.coe_to_nonUnitalAlgHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_nonUnitalAlgHom (f : A →ₐ[R] B) : ((f : A →ₙₐ[R] B) : A → B) = f :=

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

@@ -264,7 +264,7 @@ theorem coe_to_distribMulActionHom (f : A →ₙₐ[R] B) : ((f : A →+[R] B) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} ((fun (_x : MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) => A -> B) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u3) (succ u2)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u3) (succ u2)} a b] => self.0) (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (MulHom.hasCoeT.{u2, u3, max u2 u3} A B (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4)) (NonUnitalAlgHomClass.toMulHomClass.{max u2 u3, u1, u2, u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 (NonUnitalAlgHom.nonUnitalAlgHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f)) (coeFn.{max (succ u3) (succ u2), max (succ u2) (succ u3)} (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (fun (_x : MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) => A -> B) (MulHom.hasCoeToFun.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u3) (succ u2)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u3) (succ u2)} a b] => self.0) (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (MulHom.hasCoeT.{u2, u3, max u2 u3} A B (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4)) (NonUnitalAlgHomClass.toMulHomClass.{max u2 u3, u1, u2, u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 (NonUnitalAlgHom.nonUnitalAlgHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MulHom.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => B) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (MulHom.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4) (MulHom.mulHomClass.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4))) (MulHomClass.toMulHom.{u2, u3, max u2 u3} A B (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4) (NonUnitalAlgHomClass.toMulHomClass.{max u2 u3, u1, u2, u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 (NonUnitalAlgHom.instNonUnitalAlgHomClassNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MulHom.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => B) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (MulHom.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4) (MulHom.mulHomClass.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4))) (MulHomClass.toMulHom.{u2, u3, max u2 u3} A B (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4) (NonUnitalAlgHomClass.toMulHomClass.{max u2 u3, u1, u2, u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 (NonUnitalAlgHom.instNonUnitalAlgHomClassNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_to_mul_hom NonUnitalAlgHom.coe_to_mulHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_mulHom (f : A →ₙₐ[R] B) : ((f : A →ₙ* B) : A → B) = f :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/347636a7a80595d55bedf6e6fbd996a3c39da69a

@@ -481,7 +481,7 @@ variable (R A B)
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, max u2 u3, u2} R (Prod.{u2, u3} A B) A _inst_1 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) _inst_2 _inst_3
 but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, max u3 u2, u2} R (Prod.{u2, u3} A B) A _inst_1 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) _inst_2 _inst_3
+  forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, max u3 u2, u2} R (Prod.{u2, u3} A B) A _inst_1 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) _inst_2 _inst_3
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.fst NonUnitalAlgHom.fstₓ'. -/
 /-- The first projection of a product is a non-unital alg_hom. -/
 @[simps]
@@ -497,7 +497,7 @@ def fst : A × B →ₙₐ[R] A where
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, max u2 u3, u3} R (Prod.{u2, u3} A B) B _inst_1 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) _inst_4 _inst_5
 but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, max u3 u2, u3} R (Prod.{u2, u3} A B) B _inst_1 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) _inst_4 _inst_5
+  forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, max u3 u2, u3} R (Prod.{u2, u3} A B) B _inst_1 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) _inst_4 _inst_5
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.snd NonUnitalAlgHom.sndₓ'. -/
 /-- The second projection of a product is a non-unital alg_hom. -/
 @[simps]
@@ -515,7 +515,7 @@ variable {R A B}
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))], (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) -> (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) -> (NonUnitalAlgHom.{u1, u2, max u3 u4} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u1, u3, u4} R B C _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))], (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) -> (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) -> (NonUnitalAlgHom.{u1, u2, max u4 u3} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u1, u3, u4} R B C _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))], (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) -> (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) -> (NonUnitalAlgHom.{u1, u2, max u4 u3} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u3, u4, u1} B C R _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.prod NonUnitalAlgHom.prodₓ'. -/
 /-- The prod of two morphisms is a morphism. -/
 @[simps]
@@ -532,7 +532,7 @@ def prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : A →ₙₐ[R] B × C
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7), Eq.{max (succ u2) (succ (max u3 u4))} (A -> (Prod.{u3, u4} B C)) (coeFn.{max (succ u2) (succ (max u3 u4)), max (succ u2) (succ (max u3 u4))} (NonUnitalAlgHom.{u1, u2, max u3 u4} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u1, u3, u4} R B C _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7)) (fun (_x : NonUnitalAlgHom.{u1, u2, max u3 u4} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u1, u3, u4} R B C _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7)) => A -> (Prod.{u3, u4} B C)) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, max u3 u4} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u1, u3, u4} R B C _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7)) (NonUnitalAlgHom.prod.{u1, u2, u3, u4} R A B C _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (Pi.prod.{u2, u3, u4} A (fun (ᾰ : A) => B) (fun (ᾰ : A) => C) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (fun (_x : NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) => A -> C) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) g))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7), Eq.{max (max (succ u2) (succ u3)) (succ u4)} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Prod.{u3, u4} B C) ᾰ) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u4), succ u2, max (succ u3) (succ u4)} (NonUnitalAlgHom.{u1, u2, max u4 u3} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u1, u3, u4} R B C _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Prod.{u3, u4} B C) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, max u3 u4} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u1, u3, u4} R B C _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7)) (NonUnitalAlgHom.prod.{u1, u2, u3, u4} R A B C _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (Pi.prod.{u2, u3, u4} A (fun (ᾰ : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) ᾰ) (fun (ᾰ : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => C) ᾰ) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => C) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) g))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7), Eq.{max (max (succ u2) (succ u3)) (succ u4)} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Prod.{u3, u4} B C) ᾰ) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u4), succ u2, max (succ u3) (succ u4)} (NonUnitalAlgHom.{u1, u2, max u4 u3} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u3, u4, u1} B C R _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Prod.{u3, u4} B C) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, max u3 u4} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u3, u4, u1} B C R _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7)) (NonUnitalAlgHom.prod.{u1, u2, u3, u4} R A B C _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (Pi.prod.{u2, u3, u4} A (fun (ᾰ : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) ᾰ) (fun (ᾰ : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => C) ᾰ) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => C) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) g))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_prod NonUnitalAlgHom.coe_prodₓ'. -/
 theorem coe_prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : ⇑(f.Prod g) = Pi.prod f g :=
   rfl
@@ -556,7 +556,7 @@ theorem snd_prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : (snd R B C).com
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Eq.{succ (max u2 u3)} (NonUnitalAlgHom.{u1, max u2 u3, max u2 u3} R (Prod.{u2, u3} A B) (Prod.{u2, u3} A B) _inst_1 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.prod.{u1, max u2 u3, u2, u3} R (Prod.{u2, u3} A B) A B _inst_1 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) _inst_2 _inst_3 _inst_4 _inst_5 (NonUnitalAlgHom.fst.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.snd.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (OfNat.ofNat.{max u2 u3} (NonUnitalAlgHom.{u1, max u2 u3, max u2 u3} R (Prod.{u2, u3} A B) (Prod.{u2, u3} A B) _inst_1 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) 1 (OfNat.mk.{max u2 u3} (NonUnitalAlgHom.{u1, max u2 u3, max u2 u3} R (Prod.{u2, u3} A B) (Prod.{u2, u3} A B) _inst_1 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) 1 (One.one.{max u2 u3} (NonUnitalAlgHom.{u1, max u2 u3, max u2 u3} R (Prod.{u2, u3} A B) (Prod.{u2, u3} A B) _inst_1 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.hasOne.{u1, max u2 u3} R (Prod.{u2, u3} A B) _inst_1 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)))))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, max u2 u3, max u3 u2} R (Prod.{u2, u3} A B) (Prod.{u2, u3} A B) _inst_1 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.prod.{u1, max u2 u3, u2, u3} R (Prod.{u2, u3} A B) A B _inst_1 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) _inst_2 _inst_3 _inst_4 _inst_5 (NonUnitalAlgHom.fst.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.snd.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (OfNat.ofNat.{max u2 u3} (NonUnitalAlgHom.{u1, max u2 u3, max u3 u2} R (Prod.{u2, u3} A B) (Prod.{u2, u3} A B) _inst_1 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) 1 (One.toOfNat1.{max u2 u3} (NonUnitalAlgHom.{u1, max u2 u3, max u3 u2} R (Prod.{u2, u3} A B) (Prod.{u2, u3} A B) _inst_1 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.instOneNonUnitalAlgHom.{u1, max u2 u3} R (Prod.{u2, u3} A B) _inst_1 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5))))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, max u2 u3, max u3 u2} R (Prod.{u2, u3} A B) (Prod.{u2, u3} A B) _inst_1 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.prod.{u1, max u2 u3, u2, u3} R (Prod.{u2, u3} A B) A B _inst_1 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) _inst_2 _inst_3 _inst_4 _inst_5 (NonUnitalAlgHom.fst.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.snd.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (OfNat.ofNat.{max u2 u3} (NonUnitalAlgHom.{u1, max u2 u3, max u3 u2} R (Prod.{u2, u3} A B) (Prod.{u2, u3} A B) _inst_1 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) 1 (One.toOfNat1.{max u2 u3} (NonUnitalAlgHom.{u1, max u2 u3, max u3 u2} R (Prod.{u2, u3} A B) (Prod.{u2, u3} A B) _inst_1 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.instOneNonUnitalAlgHom.{u1, max u2 u3} R (Prod.{u2, u3} A B) _inst_1 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5))))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.prod_fst_snd NonUnitalAlgHom.prod_fst_sndₓ'. -/
 @[simp]
 theorem prod_fst_snd : prod (fst R A B) (snd R A B) = 1 :=
@@ -567,7 +567,7 @@ theorem prod_fst_snd : prod (fst R A B) (snd R A B) = 1 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))], Equiv.{max (succ (max u2 u3)) (succ (max u2 u4)), max (succ u2) (succ (max u3 u4))} (Prod.{max u2 u3, max u2 u4} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7)) (NonUnitalAlgHom.{u1, u2, max u3 u4} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u1, u3, u4} R B C _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))], Equiv.{max (succ (max u4 u2)) (succ (max u3 u2)), max (succ (max u4 u3)) (succ u2)} (Prod.{max u3 u2, max u4 u2} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7)) (NonUnitalAlgHom.{u1, u2, max u4 u3} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u1, u3, u4} R B C _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))], Equiv.{max (succ (max u4 u2)) (succ (max u3 u2)), max (succ (max u4 u3)) (succ u2)} (Prod.{max u3 u2, max u4 u2} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7)) (NonUnitalAlgHom.{u1, u2, max u4 u3} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u3, u4, u1} B C R _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.prod_equiv NonUnitalAlgHom.prodEquivₓ'. -/
 /-- Taking the product of two maps with the same domain is equivalent to taking the product of
 their codomains. -/
@@ -586,7 +586,7 @@ variable (R A B)
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)
 but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, u2, max u3 u2} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)
+  forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, u2, max u3 u2} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.inl NonUnitalAlgHom.inlₓ'. -/
 /-- The left injection into a product is a non-unital algebra homomorphism. -/
 def inl : A →ₙₐ[R] A × B :=
@@ -597,7 +597,7 @@ def inl : A →ₙₐ[R] A × B :=
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)
 but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, u3, max u3 u2} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)
+  forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, u3, max u3 u2} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.inr NonUnitalAlgHom.inrₓ'. -/
 /-- The right injection into a product is a non-unital algebra homomorphism. -/
 def inr : B →ₙₐ[R] A × B :=
@@ -610,7 +610,7 @@ variable {R A B}
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Eq.{max (succ u2) (succ u3)} ((fun (_x : NonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) => A -> (Prod.{u2, u3} A B)) (NonUnitalAlgHom.inl.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (coeFn.{max (succ u2) (succ (max u2 u3)), max (succ u2) (succ (max u2 u3))} (NonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (fun (_x : NonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) => A -> (Prod.{u2, u3} A B)) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inl.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (fun (x : A) => Prod.mk.{u2, u3} A B x (OfNat.ofNat.{u3} B 0 (OfNat.mk.{u3} B 0 (Zero.zero.{u3} B (MulZeroClass.toHasZero.{u3} B (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} B _inst_4))))))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Eq.{max (succ u2) (succ u3)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Prod.{u2, u3} A B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, max u3 u2} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Prod.{u2, u3} A B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inl.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (fun (x : A) => Prod.mk.{u2, u3} A B x (OfNat.ofNat.{u3} B 0 (Zero.toOfNat0.{u3} B (MulZeroClass.toZero.{u3} B (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} B _inst_4)))))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Eq.{max (succ u2) (succ u3)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Prod.{u2, u3} A B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, max u3 u2} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Prod.{u2, u3} A B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inl.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (fun (x : A) => Prod.mk.{u2, u3} A B x (OfNat.ofNat.{u3} B 0 (Zero.toOfNat0.{u3} B (MulZeroClass.toZero.{u3} B (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} B _inst_4)))))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_inl NonUnitalAlgHom.coe_inlₓ'. -/
 @[simp]
 theorem coe_inl : (inl R A B : A → A × B) = fun x => (x, 0) :=
@@ -621,7 +621,7 @@ theorem coe_inl : (inl R A B : A → A × B) = fun x => (x, 0) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (x : A), Eq.{max (succ u2) (succ u3)} (Prod.{u2, u3} A B) (coeFn.{max (succ u2) (succ (max u2 u3)), max (succ u2) (succ (max u2 u3))} (NonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (fun (_x : NonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) => A -> (Prod.{u2, u3} A B)) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inl.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) x) (Prod.mk.{u2, u3} A B x (OfNat.ofNat.{u3} B 0 (OfNat.mk.{u3} B 0 (Zero.zero.{u3} B (MulZeroClass.toHasZero.{u3} B (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} B _inst_4))))))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (x : A), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Prod.{u2, u3} A B) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, max u3 u2} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Prod.{u2, u3} A B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inl.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) x) (Prod.mk.{u2, u3} A B x (OfNat.ofNat.{u3} B 0 (Zero.toOfNat0.{u3} B (MulZeroClass.toZero.{u3} B (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} B _inst_4)))))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (x : A), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Prod.{u2, u3} A B) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, max u3 u2} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Prod.{u2, u3} A B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inl.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) x) (Prod.mk.{u2, u3} A B x (OfNat.ofNat.{u3} B 0 (Zero.toOfNat0.{u3} B (MulZeroClass.toZero.{u3} B (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} B _inst_4)))))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.inl_apply NonUnitalAlgHom.inl_applyₓ'. -/
 theorem inl_apply (x : A) : inl R A B x = (x, 0) :=
   rfl
@@ -631,7 +631,7 @@ theorem inl_apply (x : A) : inl R A B x = (x, 0) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Eq.{max (succ u2) (succ u3)} ((fun (_x : NonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) => B -> (Prod.{u2, u3} A B)) (NonUnitalAlgHom.inr.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (coeFn.{max (succ u3) (succ (max u2 u3)), max (succ u3) (succ (max u2 u3))} (NonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (fun (_x : NonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) => B -> (Prod.{u2, u3} A B)) (NonUnitalAlgHom.hasCoeToFun.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inr.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (Prod.mk.{u2, u3} A B (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Eq.{max (succ u2) (succ u3)} (forall (a : B), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : B) => Prod.{u2, u3} A B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u3, max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u3, max u3 u2} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : B) => Prod.{u2, u3} A B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inr.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (Prod.mk.{u2, u3} A B (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Eq.{max (succ u2) (succ u3)} (forall (a : B), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : B) => Prod.{u2, u3} A B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u3, max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u3, max u3 u2} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : B) => Prod.{u2, u3} A B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inr.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (Prod.mk.{u2, u3} A B (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_inr NonUnitalAlgHom.coe_inrₓ'. -/
 @[simp]
 theorem coe_inr : (inr R A B : B → A × B) = Prod.mk 0 :=
@@ -642,7 +642,7 @@ theorem coe_inr : (inr R A B : B → A × B) = Prod.mk 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (x : B), Eq.{max (succ u2) (succ u3)} (Prod.{u2, u3} A B) (coeFn.{max (succ u3) (succ (max u2 u3)), max (succ u3) (succ (max u2 u3))} (NonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (fun (_x : NonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) => B -> (Prod.{u2, u3} A B)) (NonUnitalAlgHom.hasCoeToFun.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inr.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) x) (Prod.mk.{u2, u3} A B (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))) x)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (x : B), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : B) => Prod.{u2, u3} A B) x) (FunLike.coe.{max (succ u2) (succ u3), succ u3, max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u3, max u3 u2} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : B) => Prod.{u2, u3} A B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inr.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) x) (Prod.mk.{u2, u3} A B (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) x)
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (x : B), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : B) => Prod.{u2, u3} A B) x) (FunLike.coe.{max (succ u2) (succ u3), succ u3, max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u3, max u3 u2} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : B) => Prod.{u2, u3} A B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u2, u3, u1} A B R _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inr.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) x) (Prod.mk.{u2, u3} A B (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) x)
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.inr_apply NonUnitalAlgHom.inr_applyₓ'. -/
 theorem inr_apply (x : B) : inr R A B x = (0, x) :=
   rfl
@@ -674,7 +674,7 @@ def toNonUnitalAlgHom (f : A →ₐ[R] B) : A →ₙₐ[R] B :=
 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], Coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)))
 but is expected to have type
-  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}, CoeOut.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)))
+  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], CoeOut.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)))
 Case conversion may be inaccurate. Consider using '#align alg_hom.non_unital_alg_hom.has_coe AlgHom.NonUnitalAlgHom.hasCoeₓ'. -/
 instance NonUnitalAlgHom.hasCoe : Coe (A →ₐ[R] B) (A →ₙₐ[R] B) :=
   ⟨toNonUnitalAlgHom⟩
@@ -684,7 +684,7 @@ instance NonUnitalAlgHom.hasCoe : Coe (A →ₐ[R] B) (A →ₙₐ[R] B) :=
 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 : AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (AlgHom.toNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (NonUnitalAlgHomClass.NonUnitalAlgHom.hasCoeT.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.nonUnitalAlgHomClass.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f)
 but is expected to have type
-  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 : AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (AlgHom.toNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f) (let src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220 : NonUnitalRingHom.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) := NonUnitalRingHomClass.toNonUnitalRingHom.{max u2 u3, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (NonUnitalAlgHomClass.toNonUnitalRingHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) f; NonUnitalAlgHom.mk.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (DistribMulActionHom.mk.{u1, u2, u3} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4)) B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4))))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (FunLike.coe.{succ (max u2 u3), succ u2, succ u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) a) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4))))) (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_1.{u3, u1, u2, max u2 u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f)) (NonUnitalRingHom.map_zero'.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220) (NonUnitalRingHom.map_add'.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220)) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_2.{u3, u2, max u2 u3, u1} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f))
+  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 : AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (AlgHom.toNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f) (let src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220 : NonUnitalRingHom.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) := NonUnitalRingHomClass.toNonUnitalRingHom.{max u2 u3, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (NonUnitalAlgHomClass.toNonUnitalRingHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) f; NonUnitalAlgHom.mk.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (DistribMulActionHom.mk.{u1, u2, u3} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4)) B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A 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(DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (FunLike.coe.{succ (max u2 u3), succ u2, succ u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) a) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4))))) (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_1.{u3, u1, u2, max u2 u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f)) (NonUnitalRingHom.map_zero'.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220) (NonUnitalRingHom.map_add'.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220)) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_2.{u3, u2, max u2 u3, u1} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f))
 Case conversion may be inaccurate. Consider using '#align alg_hom.to_non_unital_alg_hom_eq_coe AlgHom.toNonUnitalAlgHom_eq_coeₓ'. -/
 @[simp]
 theorem toNonUnitalAlgHom_eq_coe (f : A →ₐ[R] B) : f.toNonUnitalAlgHom = f :=
@@ -695,7 +695,7 @@ theorem toNonUnitalAlgHom_eq_coe (f : A →ₐ[R] B) : f.toNonUnitalAlgHom = f :
 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 : AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} ((fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) => A -> B) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A 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(Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4))))) (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f)
+  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 : AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (AlgHom.toNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) _x) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4))))) (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f)
 Case conversion may be inaccurate. Consider using '#align alg_hom.coe_to_non_unital_alg_hom AlgHom.coe_to_nonUnitalAlgHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_nonUnitalAlgHom (f : A →ₐ[R] B) : ((f : A →ₙₐ[R] B) : A → B) = f :=

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

@@ -133,7 +133,7 @@ instance : CoeFun (A →ₙₐ[R] B) fun _ => A → B :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (A -> B) (NonUnitalAlgHom.toFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (A -> B) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (NonUnitalAlgHom.toDistribMulActionHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (f : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) f) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (A -> B) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (NonUnitalAlgHom.toDistribMulActionHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (f : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) f) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.to_fun_eq_coe NonUnitalAlgHom.toFun_eq_coeₓ'. -/
 @[simp]
 theorem toFun_eq_coe (f : A →ₙₐ[R] B) : f.toFun = ⇑f :=
@@ -146,7 +146,7 @@ initialize_simps_projections NonUnitalAlgHom (toFun → apply)
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] {F : Type.{u4}} [_inst_8 : NonUnitalAlgHomClass.{u4, u1, u2, u3} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5] (f : F), Eq.{max (succ u2) (succ u3)} (A -> B) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) ((fun (a : Type.{u4}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{succ u4, max (succ u2) (succ u3)} a b] => self.0) F (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{succ u4, max (succ u2) (succ u3)} F (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{succ u4, max (succ u2) (succ u3)} F (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHomClass.NonUnitalAlgHom.hasCoeT.{u4, u1, u2, u3} F R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_8))) f)) (coeFn.{succ u4, max (succ u2) (succ u3)} F (fun (_x : F) => A -> B) (FunLike.hasCoeToFun.{succ u4, succ u2, succ u3} F A (fun (_x : A) => B) (SMulHomClass.toFunLike.{u4, u1, u2, u3} F R A B (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (DistribSMul.toSmulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)))) (DistribSMul.toSmulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHomClass.toSmulHomClass.{u4, u1, u2, u3} F R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5 (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u4, u1, u2, u3} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 _inst_8)))) f)
 but is expected to have type
-  forall {R : Type.{u2}} {A : Type.{u3}} {B : Type.{u4}} [_inst_1 : Monoid.{u2} R] [_inst_2 : NonUnitalNonAssocSemiring.{u3} A] [_inst_3 : DistribMulAction.{u2, u3} R A _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u4} B] [_inst_5 : DistribMulAction.{u2, u4} R B _inst_1 (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))] {F : Type.{u1}} [_inst_8 : NonUnitalAlgHomClass.{u1, u2, u3, u4} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5] (f : F), Eq.{max (succ u3) (succ u4)} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) ᾰ) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (NonUnitalAlgHom.{u2, u3, u4} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u2, u3, u4} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (let src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1219 : NonUnitalRingHom.{u3, u4} A B _inst_2 _inst_4 := NonUnitalRingHomClass.toNonUnitalRingHom.{u1, u3, u4} F A B _inst_2 _inst_4 (NonUnitalAlgHomClass.toNonUnitalRingHomClass.{u1, u2, u3, u4} F R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_8) f; NonUnitalAlgHom.mk.{u2, u3, u4} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (DistribMulActionHom.mk.{u2, u3, u4} R _inst_1 A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_5 (MulActionHom.mk.{u2, u3, u4} R A (SMulZeroClass.toSMul.{u2, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribSMul.toSMulZeroClass.{u2, u3} R A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribMulAction.toDistribSMul.{u2, u3} R A _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u2, u4} R B (AddMonoid.toZero.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribSMul.toSMulZeroClass.{u2, u4} R B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribMulAction.toDistribSMul.{u2, u4} R B _inst_1 (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_5))) (FunLike.coe.{succ u1, succ u3, succ u4} F A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) a) (SMulHomClass.toFunLike.{u1, u2, u3, u4} F R A B (SMulZeroClass.toSMul.{u2, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribSMul.toSMulZeroClass.{u2, u3} R A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribMulAction.toDistribSMul.{u2, u3} R A _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) _inst_3))) (SMulZeroClass.toSMul.{u2, u4} R B (AddMonoid.toZero.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribSMul.toSMulZeroClass.{u2, u4} R B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribMulAction.toDistribSMul.{u2, u4} R B _inst_1 (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_5))) (DistribMulActionHomClass.toSMulHomClass.{u1, u2, u3, u4} F R A B _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_3 _inst_5 (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u1, u2, u3, u4} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 _inst_8))) f) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_1.{u4, u2, u3, u1} F R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_8 f)) (NonUnitalRingHom.map_zero'.{u3, u4} A B _inst_2 _inst_4 src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1219) (NonUnitalRingHom.map_add'.{u3, u4} A B _inst_2 _inst_4 src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1219)) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_2.{u4, u3, u1, u2} F R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_8 f))) (FunLike.coe.{succ u1, succ u3, succ u4} F A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) _x) (SMulHomClass.toFunLike.{u1, u2, u3, u4} F R A B (SMulZeroClass.toSMul.{u2, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribSMul.toSMulZeroClass.{u2, u3} R A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribMulAction.toDistribSMul.{u2, u3} R A _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) _inst_3))) (SMulZeroClass.toSMul.{u2, u4} R B (AddMonoid.toZero.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribSMul.toSMulZeroClass.{u2, u4} R B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribMulAction.toDistribSMul.{u2, u4} R B _inst_1 (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_5))) (DistribMulActionHomClass.toSMulHomClass.{u1, u2, u3, u4} F R A B _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_3 _inst_5 (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u1, u2, u3, u4} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 _inst_8))) f)
+  forall {R : Type.{u2}} {A : Type.{u3}} {B : Type.{u4}} [_inst_1 : Monoid.{u2} R] [_inst_2 : NonUnitalNonAssocSemiring.{u3} A] [_inst_3 : DistribMulAction.{u2, u3} R A _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u4} B] [_inst_5 : DistribMulAction.{u2, u4} R B _inst_1 (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))] {F : Type.{u1}} [_inst_8 : NonUnitalAlgHomClass.{u1, u2, u3, u4} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5] (f : F), Eq.{max (succ u3) (succ u4)} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) ᾰ) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (NonUnitalAlgHom.{u2, u3, u4} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u2, u3, u4} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (let src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220 : NonUnitalRingHom.{u3, u4} A B _inst_2 _inst_4 := NonUnitalRingHomClass.toNonUnitalRingHom.{u1, u3, u4} F A B _inst_2 _inst_4 (NonUnitalAlgHomClass.toNonUnitalRingHomClass.{u1, u2, u3, u4} F R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_8) f; NonUnitalAlgHom.mk.{u2, u3, u4} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (DistribMulActionHom.mk.{u2, u3, u4} R _inst_1 A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_5 (MulActionHom.mk.{u2, u3, u4} R A (SMulZeroClass.toSMul.{u2, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribSMul.toSMulZeroClass.{u2, u3} R A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribMulAction.toDistribSMul.{u2, u3} R A _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u2, u4} R B (AddMonoid.toZero.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribSMul.toSMulZeroClass.{u2, u4} R B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribMulAction.toDistribSMul.{u2, u4} R B _inst_1 (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_5))) (FunLike.coe.{succ u1, succ u3, succ u4} F A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) a) (SMulHomClass.toFunLike.{u1, u2, u3, u4} F R A B (SMulZeroClass.toSMul.{u2, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribSMul.toSMulZeroClass.{u2, u3} R A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribMulAction.toDistribSMul.{u2, u3} R A _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) _inst_3))) (SMulZeroClass.toSMul.{u2, u4} R B (AddMonoid.toZero.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribSMul.toSMulZeroClass.{u2, u4} R B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribMulAction.toDistribSMul.{u2, u4} R B _inst_1 (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_5))) (DistribMulActionHomClass.toSMulHomClass.{u1, u2, u3, u4} F R A B _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_3 _inst_5 (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u1, u2, u3, u4} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 _inst_8))) f) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_1.{u4, u2, u3, u1} F R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_8 f)) (NonUnitalRingHom.map_zero'.{u3, u4} A B _inst_2 _inst_4 src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220) (NonUnitalRingHom.map_add'.{u3, u4} A B _inst_2 _inst_4 src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220)) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_2.{u4, u3, u1, u2} F R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_8 f))) (FunLike.coe.{succ u1, succ u3, succ u4} F A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) _x) (SMulHomClass.toFunLike.{u1, u2, u3, u4} F R A B (SMulZeroClass.toSMul.{u2, u3} R A (AddMonoid.toZero.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribSMul.toSMulZeroClass.{u2, u3} R A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))) (DistribMulAction.toDistribSMul.{u2, u3} R A _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) _inst_3))) (SMulZeroClass.toSMul.{u2, u4} R B (AddMonoid.toZero.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribSMul.toSMulZeroClass.{u2, u4} R B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))) (DistribMulAction.toDistribSMul.{u2, u4} R B _inst_1 (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_5))) (DistribMulActionHomClass.toSMulHomClass.{u1, u2, u3, u4} F R A B _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2)) (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4)) _inst_3 _inst_5 (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u1, u2, u3, u4} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 _inst_8))) f)
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_coe NonUnitalAlgHom.coe_coeₓ'. -/
 @[simp, protected]
 theorem coe_coe {F : Type _} [NonUnitalAlgHomClass F R A B] (f : F) : ⇑(f : A →ₙₐ[R] B) = f :=
@@ -157,7 +157,7 @@ theorem coe_coe {F : Type _} [NonUnitalAlgHomClass F R A B] (f : F) : ⇑(f : A
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Function.Injective.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (A -> B) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (ᾰ : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Function.Injective.{max (succ u3) (succ u2), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (A -> B) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (ᾰ : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) ᾰ) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Function.Injective.{max (succ u3) (succ u2), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (A -> B) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (ᾰ : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) ᾰ) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_injective NonUnitalAlgHom.coe_injectiveₓ'. -/
 theorem coe_injective : @Function.Injective (A →ₙₐ[R] B) (A → B) coeFn := by
   rintro ⟨f, _⟩ ⟨g, _⟩ ⟨h⟩ <;> congr
@@ -176,7 +176,7 @@ instance : NonUnitalAlgHomClass (A →ₙₐ[R] B) R A B
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] {f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (forall (x : A), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x)) -> (Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] {f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (forall (x : A), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x)) -> (Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g)
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] {f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (forall (x : A), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x)) -> (Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g)
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.ext NonUnitalAlgHom.extₓ'. -/
 @[ext]
 theorem ext {f g : A →ₙₐ[R] B} (h : ∀ x, f x = g x) : f = g :=
@@ -187,7 +187,7 @@ theorem ext {f g : A →ₙₐ[R] B} (h : ∀ x, f x = g x) : f = g :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] {f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, Iff (Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) (forall (x : A), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] {f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, Iff (Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) (forall (x : A), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] {f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, Iff (Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) (forall (x : A), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.ext_iff NonUnitalAlgHom.ext_iffₓ'. -/
 theorem ext_iff {f g : A →ₙₐ[R] B} : f = g ↔ ∀ x, f x = g x :=
   ⟨by
@@ -199,7 +199,7 @@ theorem ext_iff {f g : A →ₙₐ[R] B} : f = g ↔ ∀ x, f x = g x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] {f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) -> (forall (x : A), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] {f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) -> (forall (x : A), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] {f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5} {g : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5}, (Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f g) -> (forall (x : A), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.congr_fun NonUnitalAlgHom.congr_funₓ'. -/
 theorem congr_fun {f g : A →ₙₐ[R] B} (h : f = g) (x : A) : f x = g x :=
   h ▸ rfl
@@ -209,7 +209,7 @@ theorem congr_fun {f g : A →ₙₐ[R] B} (h : f = g) (x : A) : f x = g x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : A -> B) (h₁ : forall (m : R) (x : A), Eq.{succ u3} B (f (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 _inst_2)))) (DistribSMul.toSmulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) m x)) (SMul.smul.{u1, u3} R B (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)))) (DistribSMul.toSmulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) m (f x))) (h₂ : Eq.{succ u3} B (f (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))))))) (OfNat.ofNat.{u3} B 0 (OfNat.mk.{u3} B 0 (Zero.zero.{u3} B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)))))))) (h₃ : forall (x : A) (y : A), Eq.{succ u3} B (f (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toHasAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))))) x y)) (HAdd.hAdd.{u3, u3, u3} B B B (instHAdd.{u3} B (AddZeroClass.toHasAdd.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))))) (f x) (f y))) (h₄ : forall (x : A) (y : A), Eq.{succ u3} B (f (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) x y)) (HMul.hMul.{u3, u3, u3} B B B (instHMul.{u3} B (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (f x) (f y))), Eq.{max (succ u2) (succ u3)} ((fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.mk.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f h₁ h₂ h₃ h₄)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.mk.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f h₁ h₂ h₃ h₄)) f
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : A -> B) (h₁ : forall (m : R) (x : A), Eq.{succ u3} B (f (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3)))) m x)) (HSMul.hSMul.{u1, u3, u3} R B B (instHSMul.{u1, u3} R B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5)))) m (f x))) (h₂ : Eq.{succ u3} B (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (AddZeroClass.toZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))))))) (OfNat.ofNat.{u3} B 0 (Zero.toOfNat0.{u3} B (AddZeroClass.toZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))))))) (h₃ : forall (x : A) (y : A), Eq.{succ u3} B (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))))) x y)) (HAdd.hAdd.{u3, u3, u3} B B B (instHAdd.{u3} B (AddZeroClass.toAdd.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))))) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) x) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) y))) (h₄ : forall (x : A) (y : A), Eq.{succ u3} B (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B 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_inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) h₂ h₃)) x) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 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(DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) h₂ h₃)) y))), Eq.{max (succ u2) (succ u3)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.mk.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) h₂ h₃) h₄)) f
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : A -> B) (h₁ : forall (m : R) (x : A), Eq.{succ u3} B (f (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3)))) m x)) (HSMul.hSMul.{u1, u3, u3} R B B (instHSMul.{u1, u3} R B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5)))) m (f x))) (h₂ : Eq.{succ u3} B (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (AddZeroClass.toZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))))))) (OfNat.ofNat.{u3} B 0 (Zero.toOfNat0.{u3} B (AddZeroClass.toZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))))))) (h₃ : forall (x : A) (y : A), Eq.{succ u3} B (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))))) x y)) (HAdd.hAdd.{u3, u3, u3} B B B (instHAdd.{u3} B (AddZeroClass.toAdd.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))))) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) x) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) y))) (h₄ : forall (x : A) (y : A), Eq.{succ u3} B (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) h₂ h₃)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) x y)) (HMul.hMul.{u3, u3, u3} B B B (instHMul.{u3} B (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) h₂ h₃)) x) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) h₂ h₃)) y))), Eq.{max (succ u2) (succ u3)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.mk.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) h₂ h₃) h₄)) f
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_mk NonUnitalAlgHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : A → B) (h₁ h₂ h₃ h₄) : ((⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) : A → B) = f :=
@@ -220,7 +220,7 @@ theorem coe_mk (f : A → B) (h₁ h₂ h₃ h₄) : ((⟨f, h₁, h₂, h₃, h
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (h₁ : forall (m : R) (x : A), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (SMul.smul.{u1, u2} R A (SMulZeroClass.toHasSmul.{u1, u2} R A 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(OfNat.mk.{u3} B 0 (Zero.zero.{u3} B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)))))))) (h₃ : forall (x : A) (y : A), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toHasAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))))) x y)) (HAdd.hAdd.{u3, u3, u3} B B B (instHAdd.{u3} B (AddZeroClass.toHasAdd.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))) (h₄ : forall (x : A) (y : A), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) x y)) (HMul.hMul.{u3, u3, u3} B B B (instHMul.{u3} B (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))), Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.mk.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁ h₂ h₃ h₄) f
 but is expected to have type
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_inst_5)))) m (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))) (h₂ : Eq.{succ u3} B (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B 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_inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B 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(DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃)) y))), Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.mk.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃) h₄) f
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (h₁ : forall (m : R) (x : A), Eq.{succ u3} B (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (SMulZeroClass.toSMul.{u1, 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_inst_5)))) m (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))) (h₂ : Eq.{succ u3} B (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B 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(DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B 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_inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) x y)) (HMul.hMul.{u3, u3, u3} B B B (instHMul.{u3} B (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃)) x) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃)) y))), Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.mk.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃) h₄) f
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.mk_coe NonUnitalAlgHom.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) : (⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) = f :=
@@ -264,7 +264,7 @@ theorem coe_to_distribMulActionHom (f : A →ₙₐ[R] B) : ((f : A →+[R] B) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} ((fun (_x : MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) => A -> B) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u3) (succ u2)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u3) (succ u2)} a b] => self.0) (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (MulHom.hasCoeT.{u2, u3, max u2 u3} A B (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4)) (NonUnitalAlgHomClass.toMulHomClass.{max u2 u3, u1, u2, u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 (NonUnitalAlgHom.nonUnitalAlgHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f)) (coeFn.{max (succ u3) (succ u2), max (succ u2) (succ u3)} (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (fun (_x : MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) => A -> B) (MulHom.hasCoeToFun.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u3) (succ u2)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u3) (succ u2)} a b] => self.0) (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (MulHom.hasCoeT.{u2, u3, max u2 u3} A B (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4)) (NonUnitalAlgHomClass.toMulHomClass.{max u2 u3, u1, u2, u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 (NonUnitalAlgHom.nonUnitalAlgHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : A) => B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MulHom.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : A) => B) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (MulHom.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4) (MulHom.mulHomClass.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4))) (MulHomClass.toMulHom.{u2, u3, max u2 u3} A B (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4) (NonUnitalAlgHomClass.toMulHomClass.{max u2 u3, u1, u2, u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 (NonUnitalAlgHom.instNonUnitalAlgHomClassNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MulHom.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => B) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (MulHom.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4) (MulHom.mulHomClass.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4))) (MulHomClass.toMulHom.{u2, u3, max u2 u3} A B (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4) (NonUnitalAlgHomClass.toMulHomClass.{max u2 u3, u1, u2, u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 (NonUnitalAlgHom.instNonUnitalAlgHomClassNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_to_mul_hom NonUnitalAlgHom.coe_to_mulHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_mulHom (f : A →ₙₐ[R] B) : ((f : A →ₙ* B) : A → B) = f :=
@@ -296,7 +296,7 @@ theorem to_mulHom_injective {f g : A →ₙₐ[R] B} (h : (f : A →ₙ* B) = (g
 lean 3 declaration is
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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) m (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))) (h₂ : Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))))))) (OfNat.ofNat.{u3} B 0 (OfNat.mk.{u3} B 0 (Zero.zero.{u3} B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)))))))) (h₃ : forall (x : A) (y : A), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toHasAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))))) x y)) (HAdd.hAdd.{u3, u3, u3} B B B (instHAdd.{u3} B (AddZeroClass.toHasAdd.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))))) 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃)
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (h₁ : forall (m : R) (x : A), Eq.{succ u3} B (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (SMulZeroClass.toSMul.{u1, 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_inst_5)))) m (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))) (h₂ : Eq.{succ u3} B (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B 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(DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B 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_inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) x y)) (HMul.hMul.{u3, u3, u3} B B B (instHMul.{u3} B (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃)) x) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃)) y))), Eq.{max (succ u2) (succ u3)} (DistribMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5) (DistribMulActionHomClass.toDistribMulActionHom.{u1, u2, u3, max u2 u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u1, u2, u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 (NonUnitalAlgHom.instNonUnitalAlgHomClassNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (NonUnitalAlgHom.mk.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃) h₄)) (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃)
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_distrib_mul_action_hom_mk NonUnitalAlgHom.coe_distribMulActionHom_mkₓ'. -/
 @[norm_cast]
 theorem coe_distribMulActionHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) :
@@ -310,7 +310,7 @@ theorem coe_distribMulActionHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄)
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (h₁ : forall (m : R) (x : A), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (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 _inst_2)))) (DistribSMul.toSmulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) m x)) (SMul.smul.{u1, u3} R B (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)))) (DistribSMul.toSmulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B 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_inst_5) (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4) (NonUnitalAlgHomClass.toMulHomClass.{max u2 u3, u1, u2, u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 (NonUnitalAlgHom.instNonUnitalAlgHomClassNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (NonUnitalAlgHom.mk.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃) h₄)) (MulHom.mk.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₄)
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (h₁ : forall (m : R) (x : A), Eq.{succ u3} B (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (SMulZeroClass.toSMul.{u1, 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_inst_5)))) m (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))) (h₂ : Eq.{succ u3} B (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B 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(DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) y))) (h₄ : forall (x : A) (y : A), Eq.{succ u3} B (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) x y)) (HMul.hMul.{u3, u3, u3} B B B (instHMul.{u3} B (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃)) x) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃)) y))), Eq.{max (succ u2) (succ u3)} (MulHom.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) (MulHomClass.toMulHom.{u2, u3, max u2 u3} A B (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4) (NonUnitalAlgHomClass.toMulHomClass.{max u2 u3, u1, u2, u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 (NonUnitalAlgHom.instNonUnitalAlgHomClassNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (NonUnitalAlgHom.mk.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃) h₄)) (MulHom.mk.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₄)
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_mul_hom_mk NonUnitalAlgHom.coe_mulHom_mkₓ'. -/
 @[norm_cast]
 theorem coe_mulHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) :
@@ -324,7 +324,7 @@ theorem coe_mulHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (c : R) (x : A), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (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 _inst_2)))) (DistribSMul.toSmulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) c x)) (SMul.smul.{u1, u3} R B (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)))) (DistribSMul.toSmulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) c (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (c : R) (x : A), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3)))) c x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3)))) c x)) (HSMul.hSMul.{u1, u3, u3} R ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) (instHSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) (SMulZeroClass.toSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) (MulZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) _inst_4)) (DistribSMul.toSMulZeroClass.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) (AddMonoid.toAddZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) _inst_1 (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) _inst_4)) _inst_5)))) c (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (c : R) (x : A), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3)))) c x)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3)))) c x)) (HSMul.hSMul.{u1, u3, u3} R ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) (instHSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) (SMulZeroClass.toSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) (MulZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) _inst_4)) (DistribSMul.toSMulZeroClass.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) (AddMonoid.toAddZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) _inst_1 (AddCommMonoid.toAddMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) _inst_4)) _inst_5)))) c (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.map_smul NonUnitalAlgHom.map_smulₓ'. -/
 @[simp]
 protected theorem map_smul (f : A →ₙₐ[R] B) (c : R) (x : A) : f (c • x) = c • f x :=
@@ -335,7 +335,7 @@ protected theorem map_smul (f : A →ₙₐ[R] B) (c : R) (x : A) : f (c • x)
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : A) (y : A), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (Distrib.toHasAdd.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) x y)) (HAdd.hAdd.{u3, u3, u3} B B B (instHAdd.{u3} B (Distrib.toHasAdd.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : A) (y : A), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (Distrib.toAdd.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (Distrib.toAdd.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) x y)) (HAdd.hAdd.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) y) ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) (instHAdd.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) (Distrib.toAdd.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) (NonUnitalNonAssocSemiring.toDistrib.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) _inst_4))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : A) (y : A), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (Distrib.toAdd.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (Distrib.toAdd.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) x y)) (HAdd.hAdd.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) y) ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) (instHAdd.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) (Distrib.toAdd.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) (NonUnitalNonAssocSemiring.toDistrib.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) _inst_4))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.map_add NonUnitalAlgHom.map_addₓ'. -/
 @[simp]
 protected theorem map_add (f : A →ₙₐ[R] B) (x y : A) : f (x + y) = f x + f y :=
@@ -346,7 +346,7 @@ protected theorem map_add (f : A →ₙₐ[R] B) (x y : A) : f (x + y) = f x + f
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : A) (y : A), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) x y)) (HMul.hMul.{u3, u3, u3} B B B (instHMul.{u3} B (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : A) (y : A), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) x y)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) y) ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) x) _inst_4)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : A) (y : A), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) x y)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) x y)) (HMul.hMul.{u3, u3, u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) y) ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) (instHMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) (NonUnitalNonAssocSemiring.toMul.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) x) _inst_4)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f y))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.map_mul NonUnitalAlgHom.map_mulₓ'. -/
 @[simp]
 protected theorem map_mul (f : A →ₙₐ[R] B) (x y : A) : f (x * y) = f x * f y :=
@@ -357,7 +357,7 @@ protected theorem map_mul (f : A →ₙₐ[R] B) (x y : A) : f (x * y) = f x * f
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))))) (OfNat.ofNat.{u3} B 0 (OfNat.mk.{u3} B 0 (Zero.zero.{u3} B (MulZeroClass.toHasZero.{u3} B (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} B _inst_4)))))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))) (MulZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))) (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))) _inst_4))))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))) (MulZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))) (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))) _inst_4))))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.map_zero NonUnitalAlgHom.map_zeroₓ'. -/
 @[simp]
 protected theorem map_zero (f : A →ₙₐ[R] B) : f 0 = 0 :=
@@ -374,7 +374,7 @@ instance : One (A →ₙₐ[R] A) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Eq.{max (succ u2) (succ u3)} ((fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (OfNat.ofNat.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (OfNat.mk.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.zero.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.hasZero.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (OfNat.mk.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.zero.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.hasZero.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) (OfNat.ofNat.{max u2 u3} ((fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (Zero.zero.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.hasZero.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) 0 (OfNat.mk.{max u2 u3} ((fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (Zero.zero.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.hasZero.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) 0 (Zero.zero.{max u2 u3} ((fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (Zero.zero.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.hasZero.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) (Pi.instZero.{u2, u3} A (fun (ᾰ : A) => B) (fun (i : A) => MulZeroClass.toHasZero.{u3} B (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} B _inst_4))))))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Eq.{max (succ u2) (succ u3)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.instZeroNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (OfNat.ofNat.{max u2 u3} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) a) 0 (Zero.toOfNat0.{max u2 u3} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) a) (Pi.instZero.{u2, u3} A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) a) (fun (i : A) => MulZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) i) (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) i) _inst_4)))))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Eq.{max (succ u2) (succ u3)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.instZeroNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) (OfNat.ofNat.{max u2 u3} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) 0 (Zero.toOfNat0.{max u2 u3} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (Pi.instZero.{u2, u3} A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (fun (i : A) => MulZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) i) (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) i) _inst_4)))))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_zero NonUnitalAlgHom.coe_zeroₓ'. -/
 @[simp]
 theorem coe_zero : ((0 : A →ₙₐ[R] B) : A → B) = 0 :=
@@ -385,7 +385,7 @@ theorem coe_zero : ((0 : A →ₙₐ[R] B) : A → B) = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))], Eq.{succ u2} ((fun (_x : NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => A -> A) (OfNat.ofNat.{u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (OfNat.mk.{u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.one.{u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (NonUnitalAlgHom.hasOne.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (coeFn.{succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (fun (_x : NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => A -> A) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (OfNat.mk.{u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.one.{u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (NonUnitalAlgHom.hasOne.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (id.{succ u2} A)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))], Eq.{succ u2} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => A) a) (FunLike.coe.{succ u2, succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => A) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.toOfNat1.{u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (NonUnitalAlgHom.instOneNonUnitalAlgHom.{u1, u2} R A _inst_1 _inst_2 _inst_3)))) (id.{succ u2} A)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))], Eq.{succ u2} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => A) a) (FunLike.coe.{succ u2, succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => A) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.toOfNat1.{u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (NonUnitalAlgHom.instOneNonUnitalAlgHom.{u1, u2} R A _inst_1 _inst_2 _inst_3)))) (id.{succ u2} A)
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_one NonUnitalAlgHom.coe_oneₓ'. -/
 @[simp]
 theorem coe_one : ((1 : A →ₙₐ[R] A) : A → A) = id :=
@@ -396,7 +396,7 @@ theorem coe_one : ((1 : A →ₙₐ[R] A) : A → A) = id :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (a : A), Eq.{succ u3} B (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (OfNat.mk.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.zero.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.hasZero.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)))) a) (OfNat.ofNat.{u3} B 0 (OfNat.mk.{u3} B 0 (Zero.zero.{u3} B (MulZeroClass.toHasZero.{u3} B (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} B _inst_4)))))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (a : A), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.instZeroNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) a) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) a) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) a) (MulZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) a) (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) a) _inst_4))))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (a : A), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (OfNat.ofNat.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) 0 (Zero.toOfNat0.{max u2 u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.instZeroNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) a) (OfNat.ofNat.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) 0 (Zero.toOfNat0.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (MulZeroClass.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) _inst_4))))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.zero_apply NonUnitalAlgHom.zero_applyₓ'. -/
 theorem zero_apply (a : A) : (0 : A →ₙₐ[R] B) a = 0 :=
   rfl
@@ -406,7 +406,7 @@ theorem zero_apply (a : A) : (0 : A →ₙₐ[R] B) a = 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] (a : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (fun (_x : NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) => A -> A) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (OfNat.mk.{u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.one.{u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (NonUnitalAlgHom.hasOne.{u1, u2} R A _inst_1 _inst_2 _inst_3)))) a) a
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] (a : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => A) a) (FunLike.coe.{succ u2, succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => A) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.toOfNat1.{u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (NonUnitalAlgHom.instOneNonUnitalAlgHom.{u1, u2} R A _inst_1 _inst_2 _inst_3))) a) a
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] (a : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => A) a) (FunLike.coe.{succ u2, succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => A) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (OfNat.ofNat.{u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) 1 (One.toOfNat1.{u2} (NonUnitalAlgHom.{u1, u2, u2} R A A _inst_1 _inst_2 _inst_3 _inst_2 _inst_3) (NonUnitalAlgHom.instOneNonUnitalAlgHom.{u1, u2} R A _inst_1 _inst_2 _inst_3))) a) a
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.one_apply NonUnitalAlgHom.one_applyₓ'. -/
 theorem one_apply (a : A) : (1 : A →ₙₐ[R] A) a = a :=
   rfl
@@ -426,7 +426,7 @@ def comp (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) : A →ₙₐ[R] C :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))] (f : NonUnitalAlgHom.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u4)} ((fun (_x : NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) => A -> C) (NonUnitalAlgHom.comp.{u1, u2, u3, u4} R A B C _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (fun (_x : NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) => A -> C) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (NonUnitalAlgHom.comp.{u1, u2, u3, u4} R A B C _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (Function.comp.{succ u2, succ u3, succ u4} A B C (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (NonUnitalAlgHom.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : NonUnitalAlgHom.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) => B -> C) (NonUnitalAlgHom.hasCoeToFun.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))] (f : NonUnitalAlgHom.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u4)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => C) a) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => C) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (NonUnitalAlgHom.comp.{u1, u2, u3, u4} R A B C _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (Function.comp.{succ u2, succ u3, succ u4} A B C (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (NonUnitalAlgHom.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : B) => C) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))] (f : NonUnitalAlgHom.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u4)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => C) a) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => C) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (NonUnitalAlgHom.comp.{u1, u2, u3, u4} R A B C _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (Function.comp.{succ u2, succ u3, succ u4} A B C (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (NonUnitalAlgHom.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : B) => C) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_comp NonUnitalAlgHom.coe_compₓ'. -/
 @[simp, norm_cast]
 theorem coe_comp (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) :
@@ -438,7 +438,7 @@ theorem coe_comp (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))] (f : NonUnitalAlgHom.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : A), Eq.{succ u4} C (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (fun (_x : NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) => A -> C) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (NonUnitalAlgHom.comp.{u1, u2, u3, u4} R A B C _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g) x) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (NonUnitalAlgHom.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : NonUnitalAlgHom.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) => B -> C) (NonUnitalAlgHom.hasCoeToFun.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))] (f : NonUnitalAlgHom.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : A), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => C) x) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => C) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (NonUnitalAlgHom.comp.{u1, u2, u3, u4} R A B C _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (NonUnitalAlgHom.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : B) => C) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))] (f : NonUnitalAlgHom.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) (g : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (x : A), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => C) x) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => C) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (NonUnitalAlgHom.comp.{u1, u2, u3, u4} R A B C _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g) x) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (NonUnitalAlgHom.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : B) => C) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u3, u4} R B C _inst_1 _inst_4 _inst_5 _inst_6 _inst_7) f (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) g x))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.comp_apply NonUnitalAlgHom.comp_applyₓ'. -/
 theorem comp_apply (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) (x : A) : f.comp g x = f (g x) :=
   rfl
@@ -448,7 +448,7 @@ theorem comp_apply (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) (x : A) : f.com
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : B -> A), (Function.LeftInverse.{succ u2, succ u3} A B g (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (Function.RightInverse.{succ u2, succ u3} A B g (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (NonUnitalAlgHom.{u1, u3, u2} R B A _inst_1 _inst_4 _inst_5 _inst_2 _inst_3)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : B -> A), (Function.LeftInverse.{succ u2, succ u3} A B g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (Function.RightInverse.{succ u2, succ u3} A B g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (NonUnitalAlgHom.{u1, u3, u2} R B A _inst_1 _inst_4 _inst_5 _inst_2 _inst_3)
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : B -> A), (Function.LeftInverse.{succ u2, succ u3} A B g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (Function.RightInverse.{succ u2, succ u3} A B g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) -> (NonUnitalAlgHom.{u1, u3, u2} R B A _inst_1 _inst_4 _inst_5 _inst_2 _inst_3)
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.inverse NonUnitalAlgHom.inverseₓ'. -/
 /-- The inverse of a bijective morphism is a morphism. -/
 def inverse (f : A →ₙₐ[R] B) (g : B → A) (h₁ : Function.LeftInverse g f)
@@ -460,7 +460,7 @@ def inverse (f : A →ₙₐ[R] B) (g : B → A) (h₁ : Function.LeftInverse g
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : B -> A) (h₁ : Function.LeftInverse.{succ u2, succ u3} A B g (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) (h₂ : Function.RightInverse.{succ u2, succ u3} A B g (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)), Eq.{max (succ u3) (succ u2)} ((fun (_x : NonUnitalAlgHom.{u1, u3, u2} R B A _inst_1 _inst_4 _inst_5 _inst_2 _inst_3) => B -> A) (NonUnitalAlgHom.inverse.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f g h₁ h₂)) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (NonUnitalAlgHom.{u1, u3, u2} R B A _inst_1 _inst_4 _inst_5 _inst_2 _inst_3) (fun (_x : NonUnitalAlgHom.{u1, u3, u2} R B A _inst_1 _inst_4 _inst_5 _inst_2 _inst_3) => B -> A) (NonUnitalAlgHom.hasCoeToFun.{u1, u3, u2} R B A _inst_1 _inst_4 _inst_5 _inst_2 _inst_3) (NonUnitalAlgHom.inverse.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f g h₁ h₂)) g
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : B -> A) (h₁ : Function.LeftInverse.{succ u2, succ u3} A B g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) (h₂ : Function.RightInverse.{succ u2, succ u3} A B g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)), Eq.{max (succ u2) (succ u3)} (forall (a : B), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : B) => A) a) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (NonUnitalAlgHom.{u1, u3, u2} R B A _inst_1 _inst_4 _inst_5 _inst_2 _inst_3) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : B) => A) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u3, u2} R B A _inst_1 _inst_4 _inst_5 _inst_2 _inst_3) (NonUnitalAlgHom.inverse.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f g h₁ h₂)) g
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : B -> A) (h₁ : Function.LeftInverse.{succ u2, succ u3} A B g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)) (h₂ : Function.RightInverse.{succ u2, succ u3} A B g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)), Eq.{max (succ u2) (succ u3)} (forall (a : B), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : B) => A) a) (FunLike.coe.{max (succ u2) (succ u3), succ u3, succ u2} (NonUnitalAlgHom.{u1, u3, u2} R B A _inst_1 _inst_4 _inst_5 _inst_2 _inst_3) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : B) => A) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u3, u2} R B A _inst_1 _inst_4 _inst_5 _inst_2 _inst_3) (NonUnitalAlgHom.inverse.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f g h₁ h₂)) g
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_inverse NonUnitalAlgHom.coe_inverseₓ'. -/
 @[simp]
 theorem coe_inverse (f : A →ₙₐ[R] B) (g : B → A) (h₁ : Function.LeftInverse g f)
@@ -532,7 +532,7 @@ def prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : A →ₙₐ[R] B × C
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7), Eq.{max (succ u2) (succ (max u3 u4))} (A -> (Prod.{u3, u4} B C)) (coeFn.{max (succ u2) (succ (max u3 u4)), max (succ u2) (succ (max u3 u4))} (NonUnitalAlgHom.{u1, u2, max u3 u4} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u1, u3, u4} R B C _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7)) (fun (_x : NonUnitalAlgHom.{u1, u2, max u3 u4} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u1, u3, u4} R B C _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7)) => A -> (Prod.{u3, u4} B C)) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, max u3 u4} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u1, u3, u4} R B C _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7)) (NonUnitalAlgHom.prod.{u1, u2, u3, u4} R A B C _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (Pi.prod.{u2, u3, u4} A (fun (ᾰ : A) => B) (fun (ᾰ : A) => C) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) (fun (_x : NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) => A -> C) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) g))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7), Eq.{max (max (succ u2) (succ u3)) (succ u4)} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => Prod.{u3, u4} B C) ᾰ) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u4), succ u2, max (succ u3) (succ u4)} (NonUnitalAlgHom.{u1, u2, max u4 u3} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u1, u3, u4} R B C _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => Prod.{u3, u4} B C) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, max u3 u4} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u1, u3, u4} R B C _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7)) (NonUnitalAlgHom.prod.{u1, u2, u3, u4} R A B C _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (Pi.prod.{u2, u3, u4} A (fun (ᾰ : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) ᾰ) (fun (ᾰ : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => C) ᾰ) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => C) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) g))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (g : NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7), Eq.{max (max (succ u2) (succ u3)) (succ u4)} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Prod.{u3, u4} B C) ᾰ) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u4), succ u2, max (succ u3) (succ u4)} (NonUnitalAlgHom.{u1, u2, max u4 u3} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u1, u3, u4} R B C _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Prod.{u3, u4} B C) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, max u3 u4} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u1, u3, u4} R B C _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7)) (NonUnitalAlgHom.prod.{u1, u2, u3, u4} R A B C _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f g)) (Pi.prod.{u2, u3, u4} A (fun (ᾰ : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) ᾰ) (fun (ᾰ : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => C) ᾰ) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => C) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) g))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_prod NonUnitalAlgHom.coe_prodₓ'. -/
 theorem coe_prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : ⇑(f.Prod g) = Pi.prod f g :=
   rfl
@@ -610,7 +610,7 @@ variable {R A B}
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Eq.{max (succ u2) (succ u3)} ((fun (_x : NonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) => A -> (Prod.{u2, u3} A B)) (NonUnitalAlgHom.inl.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (coeFn.{max (succ u2) (succ (max u2 u3)), max (succ u2) (succ (max u2 u3))} (NonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (fun (_x : NonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) => A -> (Prod.{u2, u3} A B)) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inl.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (fun (x : A) => Prod.mk.{u2, u3} A B x (OfNat.ofNat.{u3} B 0 (OfNat.mk.{u3} B 0 (Zero.zero.{u3} B (MulZeroClass.toHasZero.{u3} B (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} B _inst_4))))))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Eq.{max (succ u2) (succ u3)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => Prod.{u2, u3} A B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, max u3 u2} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => Prod.{u2, u3} A B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inl.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (fun (x : A) => Prod.mk.{u2, u3} A B x (OfNat.ofNat.{u3} B 0 (Zero.toOfNat0.{u3} B (MulZeroClass.toZero.{u3} B (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} B _inst_4)))))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Eq.{max (succ u2) (succ u3)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Prod.{u2, u3} A B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, max u3 u2} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Prod.{u2, u3} A B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inl.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (fun (x : A) => Prod.mk.{u2, u3} A B x (OfNat.ofNat.{u3} B 0 (Zero.toOfNat0.{u3} B (MulZeroClass.toZero.{u3} B (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} B _inst_4)))))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_inl NonUnitalAlgHom.coe_inlₓ'. -/
 @[simp]
 theorem coe_inl : (inl R A B : A → A × B) = fun x => (x, 0) :=
@@ -621,7 +621,7 @@ theorem coe_inl : (inl R A B : A → A × B) = fun x => (x, 0) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (x : A), Eq.{max (succ u2) (succ u3)} (Prod.{u2, u3} A B) (coeFn.{max (succ u2) (succ (max u2 u3)), max (succ u2) (succ (max u2 u3))} (NonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (fun (_x : NonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) => A -> (Prod.{u2, u3} A B)) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inl.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) x) (Prod.mk.{u2, u3} A B x (OfNat.ofNat.{u3} B 0 (OfNat.mk.{u3} B 0 (Zero.zero.{u3} B (MulZeroClass.toHasZero.{u3} B (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} B _inst_4))))))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (x : A), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => Prod.{u2, u3} A B) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, max u3 u2} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => Prod.{u2, u3} A B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inl.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) x) (Prod.mk.{u2, u3} A B x (OfNat.ofNat.{u3} B 0 (Zero.toOfNat0.{u3} B (MulZeroClass.toZero.{u3} B (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} B _inst_4)))))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (x : A), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Prod.{u2, u3} A B) x) (FunLike.coe.{max (succ u2) (succ u3), succ u2, max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, max u3 u2} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Prod.{u2, u3} A B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inl.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) x) (Prod.mk.{u2, u3} A B x (OfNat.ofNat.{u3} B 0 (Zero.toOfNat0.{u3} B (MulZeroClass.toZero.{u3} B (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} B _inst_4)))))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.inl_apply NonUnitalAlgHom.inl_applyₓ'. -/
 theorem inl_apply (x : A) : inl R A B x = (x, 0) :=
   rfl
@@ -631,7 +631,7 @@ theorem inl_apply (x : A) : inl R A B x = (x, 0) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Eq.{max (succ u2) (succ u3)} ((fun (_x : NonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) => B -> (Prod.{u2, u3} A B)) (NonUnitalAlgHom.inr.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (coeFn.{max (succ u3) (succ (max u2 u3)), max (succ u3) (succ (max u2 u3))} (NonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (fun (_x : NonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) => B -> (Prod.{u2, u3} A B)) (NonUnitalAlgHom.hasCoeToFun.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inr.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (Prod.mk.{u2, u3} A B (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Eq.{max (succ u2) (succ u3)} (forall (a : B), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : B) => Prod.{u2, u3} A B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u3, max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u3, max u3 u2} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : B) => Prod.{u2, u3} A B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inr.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (Prod.mk.{u2, u3} A B (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))))
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Eq.{max (succ u2) (succ u3)} (forall (a : B), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : B) => Prod.{u2, u3} A B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u3, max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u3, max u3 u2} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : B) => Prod.{u2, u3} A B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inr.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (Prod.mk.{u2, u3} A B (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_inr NonUnitalAlgHom.coe_inrₓ'. -/
 @[simp]
 theorem coe_inr : (inr R A B : B → A × B) = Prod.mk 0 :=
@@ -642,7 +642,7 @@ theorem coe_inr : (inr R A B : B → A × B) = Prod.mk 0 :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (x : B), Eq.{max (succ u2) (succ u3)} (Prod.{u2, u3} A B) (coeFn.{max (succ u3) (succ (max u2 u3)), max (succ u3) (succ (max u2 u3))} (NonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (fun (_x : NonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) => B -> (Prod.{u2, u3} A B)) (NonUnitalAlgHom.hasCoeToFun.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inr.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) x) (Prod.mk.{u2, u3} A B (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))) x)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (x : B), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : B) => Prod.{u2, u3} A B) x) (FunLike.coe.{max (succ u2) (succ u3), succ u3, max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u3, max u3 u2} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : B) => Prod.{u2, u3} A B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inr.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) x) (Prod.mk.{u2, u3} A B (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) x)
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (x : B), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : B) => Prod.{u2, u3} A B) x) (FunLike.coe.{max (succ u2) (succ u3), succ u3, max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u3, max u3 u2} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : B) => Prod.{u2, u3} A B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)) (NonUnitalAlgHom.inr.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) x) (Prod.mk.{u2, u3} A B (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) x)
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.inr_apply NonUnitalAlgHom.inr_applyₓ'. -/
 theorem inr_apply (x : B) : inr R A B x = (0, x) :=
   rfl
@@ -684,7 +684,7 @@ instance NonUnitalAlgHom.hasCoe : Coe (A →ₐ[R] B) (A →ₙₐ[R] B) :=
 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 : AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (AlgHom.toNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (NonUnitalAlgHomClass.NonUnitalAlgHom.hasCoeT.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.nonUnitalAlgHomClass.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f)
 but is expected to have type
-  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 : AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (AlgHom.toNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f) (let src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1219 : NonUnitalRingHom.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) := NonUnitalRingHomClass.toNonUnitalRingHom.{max u2 u3, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (NonUnitalAlgHomClass.toNonUnitalRingHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) f; NonUnitalAlgHom.mk.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (DistribMulActionHom.mk.{u1, u2, u3} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4)) B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4))))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (FunLike.coe.{succ (max u2 u3), succ u2, succ u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) a) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4))))) (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_1.{u3, u1, u2, max u2 u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f)) (NonUnitalRingHom.map_zero'.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1219) (NonUnitalRingHom.map_add'.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1219)) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_2.{u3, u2, max u2 u3, u1} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f))
+  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 : AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (AlgHom.toNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f) (let src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220 : NonUnitalRingHom.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) := NonUnitalRingHomClass.toNonUnitalRingHom.{max u2 u3, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (NonUnitalAlgHomClass.toNonUnitalRingHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) f; NonUnitalAlgHom.mk.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (DistribMulActionHom.mk.{u1, u2, u3} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4)) B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4))))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (FunLike.coe.{succ (max u2 u3), succ u2, succ u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) a) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4))))) (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_1.{u3, u1, u2, max u2 u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A 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_inst_5)) f)) (NonUnitalRingHom.map_zero'.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220) (NonUnitalRingHom.map_add'.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1220)) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_2.{u3, u2, max u2 u3, u1} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{u1, u2} R A 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_inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f))
 Case conversion may be inaccurate. Consider using '#align alg_hom.to_non_unital_alg_hom_eq_coe AlgHom.toNonUnitalAlgHom_eq_coeₓ'. -/
 @[simp]
 theorem toNonUnitalAlgHom_eq_coe (f : A →ₐ[R] B) : f.toNonUnitalAlgHom = f :=
@@ -695,7 +695,7 @@ theorem toNonUnitalAlgHom_eq_coe (f : A →ₐ[R] B) : f.toNonUnitalAlgHom = f :
 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 : AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} ((fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) 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 but is expected to have type
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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) 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+  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 : AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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 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_inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (AlgHom.toNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) _x) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4))))) (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f)
 Case conversion may be inaccurate. Consider using '#align alg_hom.coe_to_non_unital_alg_hom AlgHom.coe_to_nonUnitalAlgHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_nonUnitalAlgHom (f : A →ₐ[R] B) : ((f : A →ₙₐ[R] B) : A → B) = f :=

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

@@ -264,7 +264,7 @@ theorem coe_to_distribMulActionHom (f : A →ₙₐ[R] B) : ((f : A →+[R] B) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} ((fun (_x : MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) => A -> B) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u3) (succ u2)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u3) (succ u2)} a b] => self.0) (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (MulHom.hasCoeT.{u2, u3, max u2 u3} A B (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4)) (NonUnitalAlgHomClass.toMulHomClass.{max u2 u3, u1, u2, u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 (NonUnitalAlgHom.nonUnitalAlgHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f)) (coeFn.{max (succ u3) (succ u2), max (succ u2) (succ u3)} (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (fun (_x : MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) => A -> B) (MulHom.hasCoeToFun.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u3) (succ u2)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u3) (succ u2)} a b] => self.0) (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (MulHom.hasCoeT.{u2, u3, max u2 u3} A B (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4)) (NonUnitalAlgHomClass.toMulHomClass.{max u2 u3, u1, u2, u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 (NonUnitalAlgHom.nonUnitalAlgHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : A) => B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MulHom.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : A) => B) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (MulHom.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4) (MulHom.mulHomClass.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4))) (MulHomClass.toMulHom.{u2, u3, max u2 u3} A B (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4) (NonUnitalAlgHomClass.toMulHomClass.{max u2 u3, u1, u2, u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 (NonUnitalAlgHom.instNonUnitalAlgHomClassNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : A) => B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (MulHom.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : A) => B) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (MulHom.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4) (MulHom.mulHomClass.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4))) (MulHomClass.toMulHom.{u2, u3, max u2 u3} A B (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4) (NonUnitalAlgHomClass.toMulHomClass.{max u2 u3, u1, u2, u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 (NonUnitalAlgHom.instNonUnitalAlgHomClassNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_to_mul_hom NonUnitalAlgHom.coe_to_mulHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_mulHom (f : A →ₙₐ[R] B) : ((f : A →ₙ* B) : A → B) = f :=

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
 
 ! This file was ported from Lean 3 source module algebra.hom.non_unital_alg
-! leanprover-community/mathlib commit b16045e4bf61c6fd619a1a68854ab3d605dcd017
+! leanprover-community/mathlib commit ee05e9ce1322178f0c12004eb93c00d2c8c00ed2
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.Algebra.Algebra.Hom
 /-!
 # Morphisms of non-unital algebras
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file defines morphisms between two types, each of which carries:
  * an addition,
  * an additive zero,

mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211

@@ -51,11 +51,13 @@ universe u v w w₁ w₂ w₃
 
 variable (R : Type u) (A : Type v) (B : Type w) (C : Type w₁)
 
+#print NonUnitalAlgHom /-
 /-- A morphism respecting addition, multiplication, and scalar multiplication. When these arise from
 algebra structures, this is the same as a not-necessarily-unital morphism of algebras. -/
 structure NonUnitalAlgHom [Monoid R] [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
   [NonUnitalNonAssocSemiring B] [DistribMulAction R B] extends A →+[R] B, A →ₙ* B
 #align non_unital_alg_hom NonUnitalAlgHom
+-/
 
 -- mathport name: «expr →ₙₐ »
 infixr:25 " →ₙₐ " => NonUnitalAlgHom _
@@ -67,6 +69,7 @@ attribute [nolint doc_blame] NonUnitalAlgHom.toDistribMulActionHom
 
 attribute [nolint doc_blame] NonUnitalAlgHom.toMulHom
 
+#print NonUnitalAlgHomClass /-
 /-- `non_unital_alg_hom_class F R A B` asserts `F` is a type of bundled algebra homomorphisms
 from `A` to `B`.  -/
 class NonUnitalAlgHomClass (F : Type _) (R : outParam (Type _)) (A : outParam (Type _))
@@ -74,12 +77,14 @@ class NonUnitalAlgHomClass (F : Type _) (R : outParam (Type _)) (A : outParam (T
   [DistribMulAction R A] [DistribMulAction R B] extends DistribMulActionHomClass F R A B,
   MulHomClass F A B
 #align non_unital_alg_hom_class NonUnitalAlgHomClass
+-/
 
 -- `R` becomes a metavariable but that's fine because it's an `out_param`
 attribute [nolint dangerous_instance] NonUnitalAlgHomClass.toMulHomClass
 
 namespace NonUnitalAlgHomClass
 
+#print NonUnitalAlgHomClass.toNonUnitalRingHomClass /-
 -- `R` becomes a metavariable but that's fine because it's an `out_param`
 -- See note [lower instance priority]
 @[nolint dangerous_instance]
@@ -87,7 +92,8 @@ instance (priority := 100) NonUnitalAlgHomClass.toNonUnitalRingHomClass {F R A B
     [Monoid R] [NonUnitalNonAssocSemiring A] [DistribMulAction R A] [NonUnitalNonAssocSemiring B]
     [DistribMulAction R B] [NonUnitalAlgHomClass F R A B] : NonUnitalRingHomClass F A B :=
   { ‹NonUnitalAlgHomClass F R A B› with coe := coeFn }
-#align non_unital_alg_hom_class.non_unital_alg_hom_class.to_non_unital_ring_hom_class NonUnitalAlgHomClass.NonUnitalAlgHomClass.toNonUnitalRingHomClass
+#align non_unital_alg_hom_class.non_unital_alg_hom_class.to_non_unital_ring_hom_class NonUnitalAlgHomClass.toNonUnitalRingHomClass
+-/
 
 variable [Semiring R] [NonUnitalNonAssocSemiring A] [Module R A] [NonUnitalNonAssocSemiring B]
   [Module R B]
@@ -120,6 +126,12 @@ variable [NonUnitalNonAssocSemiring C] [DistribMulAction R C]
 instance : CoeFun (A →ₙₐ[R] B) fun _ => A → B :=
   ⟨toFun⟩
 
+/- warning: non_unital_alg_hom.to_fun_eq_coe -> NonUnitalAlgHom.toFun_eq_coe is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (A -> B) (NonUnitalAlgHom.toFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (A -> B) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (NonUnitalAlgHom.toDistribMulActionHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (f : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) f) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f)
+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.to_fun_eq_coe NonUnitalAlgHom.toFun_eq_coeₓ'. -/
 @[simp]
 theorem toFun_eq_coe (f : A →ₙₐ[R] B) : f.toFun = ⇑f :=
   rfl
@@ -127,11 +139,23 @@ theorem toFun_eq_coe (f : A →ₙₐ[R] B) : f.toFun = ⇑f :=
 
 initialize_simps_projections NonUnitalAlgHom (toFun → apply)
 
+/- warning: non_unital_alg_hom.coe_coe -> NonUnitalAlgHom.coe_coe is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] {F : Type.{u4}} [_inst_8 : NonUnitalAlgHomClass.{u4, u1, u2, u3} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5] (f : F), Eq.{max (succ u2) (succ u3)} (A -> B) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) ((fun (a : Type.{u4}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{succ u4, max (succ u2) (succ u3)} a b] => self.0) F (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (HasLiftT.mk.{succ u4, max (succ u2) (succ u3)} F (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (CoeTCₓ.coe.{succ u4, max (succ u2) (succ u3)} F (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHomClass.NonUnitalAlgHom.hasCoeT.{u4, u1, u2, u3} F R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_8))) f)) (coeFn.{succ u4, max (succ u2) (succ u3)} F (fun (_x : F) => A -> B) (FunLike.hasCoeToFun.{succ u4, succ u2, succ u3} F A (fun (_x : A) => B) (SMulHomClass.toFunLike.{u4, u1, u2, u3} F R A B (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (DistribSMul.toSmulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) (SMulZeroClass.toHasSmul.{u1, u3} R B (AddZeroClass.toHasZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)))) (DistribSMul.toSmulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHomClass.toSmulHomClass.{u4, u1, u2, u3} F R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5 (NonUnitalAlgHomClass.toDistribMulActionHomClass.{u4, u1, u2, u3} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 _inst_8)))) f)
+but is expected to have type
+  forall {R : Type.{u2}} {A : Type.{u3}} {B : Type.{u4}} [_inst_1 : Monoid.{u2} R] [_inst_2 : NonUnitalNonAssocSemiring.{u3} A] [_inst_3 : DistribMulAction.{u2, u3} R A _inst_1 (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u4} B] [_inst_5 : DistribMulAction.{u2, u4} R B _inst_1 (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B _inst_4))] {F : Type.{u1}} [_inst_8 : NonUnitalAlgHomClass.{u1, u2, u3, u4} F R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5] (f : F), Eq.{max (succ u3) (succ u4)} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) ᾰ) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (NonUnitalAlgHom.{u2, u3, u4} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u2, u3, u4} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (let src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1219 : NonUnitalRingHom.{u3, u4} A B _inst_2 _inst_4 := NonUnitalRingHomClass.toNonUnitalRingHom.{u1, u3, u4} F A B _inst_2 _inst_4 (NonUnitalAlgHomClass.toNonUnitalRingHomClass.{u1, u2, u3, u4} F R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_8) f; 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+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_coe NonUnitalAlgHom.coe_coeₓ'. -/
 @[simp, protected]
 theorem coe_coe {F : Type _} [NonUnitalAlgHomClass F R A B] (f : F) : ⇑(f : A →ₙₐ[R] B) = f :=
   rfl
 #align non_unital_alg_hom.coe_coe NonUnitalAlgHom.coe_coe
 
+/- warning: non_unital_alg_hom.coe_injective -> NonUnitalAlgHom.coe_injective is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Function.Injective.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (A -> B) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (fun (ᾰ : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) => A -> B) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], Function.Injective.{max (succ u3) (succ u2), max (succ u2) (succ u3)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (A -> B) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (ᾰ : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) ᾰ) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))
+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_injective NonUnitalAlgHom.coe_injectiveₓ'. -/
 theorem coe_injective : @Function.Injective (A →ₙₐ[R] B) (A → B) coeFn := by
   rintro ⟨f, _⟩ ⟨g, _⟩ ⟨h⟩ <;> congr
 #align non_unital_alg_hom.coe_injective NonUnitalAlgHom.coe_injective
@@ -145,26 +169,56 @@ instance : NonUnitalAlgHomClass (A →ₙₐ[R] B) R A B
   map_zero f := f.map_zero'
   map_mul f := f.map_mul'
 
+/- warning: non_unital_alg_hom.ext -> NonUnitalAlgHom.ext is a dubious translation:
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 @[ext]
 theorem ext {f g : A →ₙₐ[R] B} (h : ∀ x, f x = g x) : f = g :=
   coe_injective <| funext h
 #align non_unital_alg_hom.ext NonUnitalAlgHom.ext
 
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 theorem ext_iff {f g : A →ₙₐ[R] B} : f = g ↔ ∀ x, f x = g x :=
   ⟨by
     rintro rfl x
     rfl, ext⟩
 #align non_unital_alg_hom.ext_iff NonUnitalAlgHom.ext_iff
 
+/- warning: non_unital_alg_hom.congr_fun -> NonUnitalAlgHom.congr_fun is a dubious translation:
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 theorem congr_fun {f g : A →ₙₐ[R] B} (h : f = g) (x : A) : f x = g x :=
   h ▸ rfl
 #align non_unital_alg_hom.congr_fun NonUnitalAlgHom.congr_fun
 
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+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : A -> B) (h₁ : forall (m : R) (x : A), Eq.{succ u3} B (f (HSMul.hSMul.{u1, u2, u2} R A A (instHSMul.{u1, u2} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3)))) m x)) (HSMul.hSMul.{u1, u3, u3} R B B (instHSMul.{u1, u3} R B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5)))) m (f x))) (h₂ : Eq.{succ u3} B (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (AddZeroClass.toZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))))))) (OfNat.ofNat.{u3} B 0 (Zero.toOfNat0.{u3} B (AddZeroClass.toZero.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))))))) (h₃ : forall (x : A) (y : A), Eq.{succ u3} B (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) (HAdd.hAdd.{u2, u2, u2} A A A (instHAdd.{u2} A (AddZeroClass.toAdd.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))))) x y)) (HAdd.hAdd.{u3, u3, u3} B B B (instHAdd.{u3} B (AddZeroClass.toAdd.{u3} B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))))) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) x) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) y))) (h₄ : forall (x : A) (y : A), Eq.{succ u3} B (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) h₂ h₃)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) x y)) (HMul.hMul.{u3, u3, u3} B B B (instHMul.{u3} B (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (DistribMulActionHom.toMulActionHom.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) f h₁) h₂ h₃)) x) (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 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+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_mk NonUnitalAlgHom.coe_mkₓ'. -/
 @[simp]
 theorem coe_mk (f : A → B) (h₁ h₂ h₃ h₄) : ((⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) : A → B) = f :=
   rfl
 #align non_unital_alg_hom.coe_mk NonUnitalAlgHom.coe_mk
 
+/- warning: non_unital_alg_hom.mk_coe -> NonUnitalAlgHom.mk_coe is a dubious translation:
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+but is expected to have type
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_inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B 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(AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B 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A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) a) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃) h₄) f
+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.mk_coe NonUnitalAlgHom.mk_coeₓ'. -/
 @[simp]
 theorem mk_coe (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) : (⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) = f :=
   by
@@ -178,39 +232,69 @@ instance : Coe (A →ₙₐ[R] B) (A →+[R] B) :=
 instance : Coe (A →ₙₐ[R] B) (A →ₙ* B) :=
   ⟨toMulHom⟩
 
+#print NonUnitalAlgHom.toDistribMulActionHom_eq_coe /-
 @[simp]
 theorem toDistribMulActionHom_eq_coe (f : A →ₙₐ[R] B) : f.toDistribMulActionHom = ↑f :=
   rfl
 #align non_unital_alg_hom.to_distrib_mul_action_hom_eq_coe NonUnitalAlgHom.toDistribMulActionHom_eq_coe
+-/
 
+/- warning: non_unital_alg_hom.to_mul_hom_eq_coe -> NonUnitalAlgHom.toMulHom_eq_coe is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u3) (succ u2)} (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (NonUnitalAlgHom.toMulHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f) ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u3) (succ u2)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u3) (succ u2)} a b] => self.0) (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (HasLiftT.mk.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u3) (succ u2)} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (MulHom.{u2, u3} A B (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4))) (MulHom.hasCoeT.{u2, u3, max u2 u3} A B (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)) (Distrib.toHasMul.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B _inst_4)) (NonUnitalAlgHomClass.toMulHomClass.{max u2 u3, u1, u2, u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 (NonUnitalAlgHom.nonUnitalAlgHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f)
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] (f : NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (MulHom.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4)) (NonUnitalAlgHom.toMulHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f) (MulHomClass.toMulHom.{u2, u3, max u2 u3} A B (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4) (NonUnitalAlgHomClass.toMulHomClass.{max u2 u3, u1, u2, u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B _inst_1 _inst_2 _inst_4 _inst_3 _inst_5 (NonUnitalAlgHom.instNonUnitalAlgHomClassNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f)
+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.to_mul_hom_eq_coe NonUnitalAlgHom.toMulHom_eq_coeₓ'. -/
 @[simp]
 theorem toMulHom_eq_coe (f : A →ₙₐ[R] B) : f.toMulHom = ↑f :=
   rfl
 #align non_unital_alg_hom.to_mul_hom_eq_coe NonUnitalAlgHom.toMulHom_eq_coe
 
+#print NonUnitalAlgHom.coe_to_distribMulActionHom /-
 @[simp, norm_cast]
 theorem coe_to_distribMulActionHom (f : A →ₙₐ[R] B) : ((f : A →+[R] B) : A → B) = f :=
   rfl
 #align non_unital_alg_hom.coe_to_distrib_mul_action_hom NonUnitalAlgHom.coe_to_distribMulActionHom
+-/
 
+/- warning: non_unital_alg_hom.coe_to_mul_hom -> NonUnitalAlgHom.coe_to_mulHom is a dubious translation:
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 @[simp, norm_cast]
 theorem coe_to_mulHom (f : A →ₙₐ[R] B) : ((f : A →ₙ* B) : A → B) = f :=
   rfl
 #align non_unital_alg_hom.coe_to_mul_hom NonUnitalAlgHom.coe_to_mulHom
 
+#print NonUnitalAlgHom.to_distribMulActionHom_injective /-
 theorem to_distribMulActionHom_injective {f g : A →ₙₐ[R] B}
     (h : (f : A →+[R] B) = (g : A →+[R] B)) : f = g :=
   by
   ext a
   exact DistribMulActionHom.congr_fun h a
 #align non_unital_alg_hom.to_distrib_mul_action_hom_injective NonUnitalAlgHom.to_distribMulActionHom_injective
+-/
 
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+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.to_mul_hom_injective NonUnitalAlgHom.to_mulHom_injectiveₓ'. -/
 theorem to_mulHom_injective {f g : A →ₙₐ[R] B} (h : (f : A →ₙ* B) = (g : A →ₙ* B)) : f = g :=
   by
   ext a
   exact MulHom.congr_fun h a
 #align non_unital_alg_hom.to_mul_hom_injective NonUnitalAlgHom.to_mulHom_injective
 
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+but is expected to have type
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_inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃)
+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_distrib_mul_action_hom_mk NonUnitalAlgHom.coe_distribMulActionHom_mkₓ'. -/
 @[norm_cast]
 theorem coe_distribMulActionHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) :
     ((⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) : A →+[R] B) = ⟨f, h₁, h₂, h₃⟩ :=
@@ -219,6 +303,12 @@ theorem coe_distribMulActionHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄)
   rfl
 #align non_unital_alg_hom.coe_distrib_mul_action_hom_mk NonUnitalAlgHom.coe_distribMulActionHom_mk
 
+/- warning: non_unital_alg_hom.coe_mul_hom_mk -> NonUnitalAlgHom.coe_mulHom_mk is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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_inst_5)))) m (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f x))) (h₂ : Eq.{succ u3} B (MulActionHom.toFun.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B 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(DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribMulAction.toDistribSMul.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5))) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B 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_inst_5 (DistribMulActionHom.mk.{u1, u2, u3} R _inst_1 A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3 B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_5 (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulAction.toDistribSMul.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) _inst_3))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))) (DistribSMul.toSMulZeroClass.{u1, u3} R B 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(NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₁) h₂ h₃) h₄)) (MulHom.mk.{u2, u3} A B (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toMul.{u3} B _inst_4) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) f) h₄)
+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_mul_hom_mk NonUnitalAlgHom.coe_mulHom_mkₓ'. -/
 @[norm_cast]
 theorem coe_mulHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) :
     ((⟨f, h₁, h₂, h₃, h₄⟩ : A →ₙₐ[R] B) : A →ₙ* B) = ⟨f, h₄⟩ :=
@@ -227,21 +317,45 @@ theorem coe_mulHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) :
   rfl
 #align non_unital_alg_hom.coe_mul_hom_mk NonUnitalAlgHom.coe_mulHom_mk
 
+/- warning: non_unital_alg_hom.map_smul -> NonUnitalAlgHom.map_smul is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.map_smul NonUnitalAlgHom.map_smulₓ'. -/
 @[simp]
 protected theorem map_smul (f : A →ₙₐ[R] B) (c : R) (x : A) : f (c • x) = c • f x :=
   map_smul _ _ _
 #align non_unital_alg_hom.map_smul NonUnitalAlgHom.map_smul
 
+/- warning: non_unital_alg_hom.map_add -> NonUnitalAlgHom.map_add is a dubious translation:
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 @[simp]
 protected theorem map_add (f : A →ₙₐ[R] B) (x y : A) : f (x + y) = f x + f y :=
   map_add _ _ _
 #align non_unital_alg_hom.map_add NonUnitalAlgHom.map_add
 
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 @[simp]
 protected theorem map_mul (f : A →ₙₐ[R] B) (x y : A) : f (x * y) = f x * f y :=
   map_mul _ _ _
 #align non_unital_alg_hom.map_mul NonUnitalAlgHom.map_mul
 
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 @[simp]
 protected theorem map_zero (f : A →ₙₐ[R] B) : f 0 = 0 :=
   map_zero _
@@ -253,20 +367,44 @@ instance : Zero (A →ₙₐ[R] B) :=
 instance : One (A →ₙₐ[R] A) :=
   ⟨{ (1 : A →+[R] A) with map_mul' := by simp }⟩
 
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 @[simp]
 theorem coe_zero : ((0 : A →ₙₐ[R] B) : A → B) = 0 :=
   rfl
 #align non_unital_alg_hom.coe_zero NonUnitalAlgHom.coe_zero
 
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 @[simp]
 theorem coe_one : ((1 : A →ₙₐ[R] A) : A → A) = id :=
   rfl
 #align non_unital_alg_hom.coe_one NonUnitalAlgHom.coe_one
 
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 theorem zero_apply (a : A) : (0 : A →ₙₐ[R] B) a = 0 :=
   rfl
 #align non_unital_alg_hom.zero_apply NonUnitalAlgHom.zero_apply
 
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 theorem one_apply (a : A) : (1 : A →ₙₐ[R] A) a = a :=
   rfl
 #align non_unital_alg_hom.one_apply NonUnitalAlgHom.one_apply
@@ -274,27 +412,53 @@ theorem one_apply (a : A) : (1 : A →ₙₐ[R] A) a = a :=
 instance : Inhabited (A →ₙₐ[R] B) :=
   ⟨0⟩
 
+#print NonUnitalAlgHom.comp /-
 /-- The composition of morphisms is a morphism. -/
 def comp (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) : A →ₙₐ[R] C :=
   { (f : B →ₙ* C).comp (g : A →ₙ* B), (f : B →+[R] C).comp (g : A →+[R] B) with }
 #align non_unital_alg_hom.comp NonUnitalAlgHom.comp
+-/
 
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 @[simp, norm_cast]
 theorem coe_comp (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) :
     (f.comp g : A → C) = (f : B → C) ∘ (g : A → B) :=
   rfl
 #align non_unital_alg_hom.coe_comp NonUnitalAlgHom.coe_comp
 
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+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.comp_apply NonUnitalAlgHom.comp_applyₓ'. -/
 theorem comp_apply (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) (x : A) : f.comp g x = f (g x) :=
   rfl
 #align non_unital_alg_hom.comp_apply NonUnitalAlgHom.comp_apply
 
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+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.inverse NonUnitalAlgHom.inverseₓ'. -/
 /-- The inverse of a bijective morphism is a morphism. -/
 def inverse (f : A →ₙₐ[R] B) (g : B → A) (h₁ : Function.LeftInverse g f)
     (h₂ : Function.RightInverse g f) : B →ₙₐ[R] A :=
   { (f : A →ₙ* B).inverse g h₁ h₂, (f : A →+[R] B).inverse g h₁ h₂ with }
 #align non_unital_alg_hom.inverse NonUnitalAlgHom.inverse
 
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+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_inverse NonUnitalAlgHom.coe_inverseₓ'. -/
 @[simp]
 theorem coe_inverse (f : A →ₙₐ[R] B) (g : B → A) (h₁ : Function.LeftInverse g f)
     (h₂ : Function.RightInverse g f) : (inverse f g h₁ h₂ : B → A) = g :=
@@ -310,6 +474,12 @@ section Prod
 
 variable (R A B)
 
+/- warning: non_unital_alg_hom.fst -> NonUnitalAlgHom.fst is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, max u2 u3, u2} R (Prod.{u2, u3} A B) A _inst_1 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) _inst_2 _inst_3
+but is expected to have type
+  forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, max u3 u2, u2} R (Prod.{u2, u3} A B) A _inst_1 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) _inst_2 _inst_3
+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.fst NonUnitalAlgHom.fstₓ'. -/
 /-- The first projection of a product is a non-unital alg_hom. -/
 @[simps]
 def fst : A × B →ₙₐ[R] A where
@@ -320,6 +490,12 @@ def fst : A × B →ₙₐ[R] A where
   map_mul' x y := rfl
 #align non_unital_alg_hom.fst NonUnitalAlgHom.fst
 
+/- warning: non_unital_alg_hom.snd -> NonUnitalAlgHom.snd is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, max u2 u3, u3} R (Prod.{u2, u3} A B) B _inst_1 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) _inst_4 _inst_5
+but is expected to have type
+  forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, max u3 u2, u3} R (Prod.{u2, u3} A B) B _inst_1 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5) _inst_4 _inst_5
+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.snd NonUnitalAlgHom.sndₓ'. -/
 /-- The second projection of a product is a non-unital alg_hom. -/
 @[simps]
 def snd : A × B →ₙₐ[R] B where
@@ -332,6 +508,12 @@ def snd : A × B →ₙₐ[R] B where
 
 variable {R A B}
 
+/- warning: non_unital_alg_hom.prod -> NonUnitalAlgHom.prod is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))], (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) -> (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) -> (NonUnitalAlgHom.{u1, u2, max u3 u4} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u1, u3, u4} R B C _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7))
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} {B : Type.{u3}} {C : Type.{u4}} [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))] [_inst_6 : NonUnitalNonAssocSemiring.{u4} C] [_inst_7 : DistribMulAction.{u1, u4} R C _inst_1 (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6))], (NonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) -> (NonUnitalAlgHom.{u1, u2, u4} R A C _inst_1 _inst_2 _inst_3 _inst_6 _inst_7) -> (NonUnitalAlgHom.{u1, u2, max u4 u3} R A (Prod.{u3, u4} B C) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u3, u4} B C _inst_4 _inst_6) (Prod.distribMulAction.{u1, u3, u4} R B C _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) (AddCommMonoid.toAddMonoid.{u4} C (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} C _inst_6)) _inst_5 _inst_7))
+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.prod NonUnitalAlgHom.prodₓ'. -/
 /-- The prod of two morphisms is a morphism. -/
 @[simps]
 def prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : A →ₙₐ[R] B × C
@@ -343,25 +525,47 @@ def prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : A →ₙₐ[R] B × C
   map_smul' c x := by simp only [Pi.prod, Prod.smul_mk, map_smul, RingHom.id_apply]
 #align non_unital_alg_hom.prod NonUnitalAlgHom.prod
 
+/- warning: non_unital_alg_hom.coe_prod -> NonUnitalAlgHom.coe_prod is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_prod NonUnitalAlgHom.coe_prodₓ'. -/
 theorem coe_prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : ⇑(f.Prod g) = Pi.prod f g :=
   rfl
 #align non_unital_alg_hom.coe_prod NonUnitalAlgHom.coe_prod
 
+#print NonUnitalAlgHom.fst_prod /-
 @[simp]
 theorem fst_prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : (fst R B C).comp (prod f g) = f := by
   ext <;> rfl
 #align non_unital_alg_hom.fst_prod NonUnitalAlgHom.fst_prod
+-/
 
+#print NonUnitalAlgHom.snd_prod /-
 @[simp]
 theorem snd_prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : (snd R B C).comp (prod f g) = g := by
   ext <;> rfl
 #align non_unital_alg_hom.snd_prod NonUnitalAlgHom.snd_prod
+-/
 
+/- warning: non_unital_alg_hom.prod_fst_snd -> NonUnitalAlgHom.prod_fst_snd is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.prod_fst_snd NonUnitalAlgHom.prod_fst_sndₓ'. -/
 @[simp]
 theorem prod_fst_snd : prod (fst R A B) (snd R A B) = 1 :=
   coe_injective Pi.prod_fst_snd
 #align non_unital_alg_hom.prod_fst_snd NonUnitalAlgHom.prod_fst_snd
 
+/- warning: non_unital_alg_hom.prod_equiv -> NonUnitalAlgHom.prodEquiv is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.prod_equiv NonUnitalAlgHom.prodEquivₓ'. -/
 /-- Taking the product of two maps with the same domain is equivalent to taking the product of
 their codomains. -/
 @[simps]
@@ -375,11 +579,23 @@ def prodEquiv : (A →ₙₐ[R] B) × (A →ₙₐ[R] C) ≃ (A →ₙₐ[R] B 
 
 variable (R A B)
 
+/- warning: non_unital_alg_hom.inl -> NonUnitalAlgHom.inl is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, u2, max u2 u3} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)
+but is expected to have type
+  forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, u2, max u3 u2} R A (Prod.{u2, u3} A B) _inst_1 _inst_2 _inst_3 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)
+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.inl NonUnitalAlgHom.inlₓ'. -/
 /-- The left injection into a product is a non-unital algebra homomorphism. -/
 def inl : A →ₙₐ[R] A × B :=
   prod 1 0
 #align non_unital_alg_hom.inl NonUnitalAlgHom.inl
 
+/- warning: non_unital_alg_hom.inr -> NonUnitalAlgHom.inr is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, u3, max u2 u3} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.nonUnitalNonAssocSemiring.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)
+but is expected to have type
+  forall (R : Type.{u1}) (A : Type.{u2}) (B : Type.{u3}) [_inst_1 : Monoid.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : DistribMulAction.{u1, u2} R A _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))] [_inst_4 : NonUnitalNonAssocSemiring.{u3} B] [_inst_5 : DistribMulAction.{u1, u3} R B _inst_1 (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4))], NonUnitalAlgHom.{u1, u3, max u3 u2} R B (Prod.{u2, u3} A B) _inst_1 _inst_4 _inst_5 (Prod.instNonUnitalNonAssocSemiringProd.{u2, u3} A B _inst_2 _inst_4) (Prod.distribMulAction.{u1, u2, u3} R A B _inst_1 (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B _inst_4)) _inst_3 _inst_5)
+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.inr NonUnitalAlgHom.inrₓ'. -/
 /-- The right injection into a product is a non-unital algebra homomorphism. -/
 def inr : B →ₙₐ[R] A × B :=
   prod 0 1
@@ -387,20 +603,44 @@ def inr : B →ₙₐ[R] A × B :=
 
 variable {R A B}
 
+/- warning: non_unital_alg_hom.coe_inl -> NonUnitalAlgHom.coe_inl is a dubious translation:
+lean 3 declaration is
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 @[simp]
 theorem coe_inl : (inl R A B : A → A × B) = fun x => (x, 0) :=
   rfl
 #align non_unital_alg_hom.coe_inl NonUnitalAlgHom.coe_inl
 
+/- warning: non_unital_alg_hom.inl_apply -> NonUnitalAlgHom.inl_apply is a dubious translation:
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 theorem inl_apply (x : A) : inl R A B x = (x, 0) :=
   rfl
 #align non_unital_alg_hom.inl_apply NonUnitalAlgHom.inl_apply
 
+/- warning: non_unital_alg_hom.coe_inr -> NonUnitalAlgHom.coe_inr is a dubious translation:
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 @[simp]
 theorem coe_inr : (inr R A B : B → A × B) = Prod.mk 0 :=
   rfl
 #align non_unital_alg_hom.coe_inr NonUnitalAlgHom.coe_inr
 
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+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.inr_apply NonUnitalAlgHom.inr_applyₓ'. -/
 theorem inr_apply (x : B) : inr R A B x = (0, x) :=
   rfl
 #align non_unital_alg_hom.inr_apply NonUnitalAlgHom.inr_apply
@@ -420,20 +660,40 @@ variable {R A B} [CommSemiring R] [Semiring A] [Semiring B] [Algebra R A] [Algeb
 instance (priority := 100) {F : Type _} [AlgHomClass F R A B] : NonUnitalAlgHomClass F R A B :=
   { ‹AlgHomClass F R A B› with map_smul := map_smul }
 
+#print AlgHom.toNonUnitalAlgHom /-
 /-- A unital morphism of algebras is a `non_unital_alg_hom`. -/
 def toNonUnitalAlgHom (f : A →ₐ[R] B) : A →ₙₐ[R] B :=
   { f with map_smul' := map_smul f }
 #align alg_hom.to_non_unital_alg_hom AlgHom.toNonUnitalAlgHom
+-/
 
+/- warning: alg_hom.non_unital_alg_hom.has_coe -> AlgHom.NonUnitalAlgHom.hasCoe is a dubious translation:
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+  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], Coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align alg_hom.non_unital_alg_hom.has_coe AlgHom.NonUnitalAlgHom.hasCoeₓ'. -/
 instance NonUnitalAlgHom.hasCoe : Coe (A →ₐ[R] B) (A →ₙₐ[R] B) :=
   ⟨toNonUnitalAlgHom⟩
 #align alg_hom.non_unital_alg_hom.has_coe AlgHom.NonUnitalAlgHom.hasCoe
 
+/- warning: alg_hom.to_non_unital_alg_hom_eq_coe -> AlgHom.toNonUnitalAlgHom_eq_coe is a dubious translation:
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+but is expected to have type
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(Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (AlgHom.toNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f) (let src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1219 : NonUnitalRingHom.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) := NonUnitalRingHomClass.toNonUnitalRingHom.{max u2 u3, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (NonUnitalAlgHomClass.toNonUnitalRingHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))) f; NonUnitalAlgHom.mk.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (DistribMulActionHom.mk.{u1, u2, u3} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4)) B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (MulActionHom.mk.{u1, u2, u3} R A (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4))))) B (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (FunLike.coe.{succ (max u2 u3), succ u2, succ u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) a) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4))))) (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_1.{u3, u1, u2, max u2 u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f)) (NonUnitalRingHom.map_zero'.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1219) (NonUnitalRingHom.map_add'.{u2, u3} A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) src._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1219)) (NonUnitalAlgHomClass.instCoeTCNonUnitalAlgHom.proof_2.{u3, u2, max u2 u3, u1} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) f))
+Case conversion may be inaccurate. Consider using '#align alg_hom.to_non_unital_alg_hom_eq_coe AlgHom.toNonUnitalAlgHom_eq_coeₓ'. -/
 @[simp]
 theorem toNonUnitalAlgHom_eq_coe (f : A →ₐ[R] B) : f.toNonUnitalAlgHom = f :=
   rfl
 #align alg_hom.to_non_unital_alg_hom_eq_coe AlgHom.toNonUnitalAlgHom_eq_coe
 
+/- warning: alg_hom.coe_to_non_unital_alg_hom -> AlgHom.coe_to_nonUnitalAlgHom is a dubious translation:
+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 : AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} ((fun (_x : NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) 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+but is expected to have type
+  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 : AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5), Eq.{max (succ u2) (succ u3)} (forall (a : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) a) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (NonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => B) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u3} R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Module.toDistribMulAction.{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_4)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))) (AlgHom.toNonUnitalAlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 f)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : A) => B) _x) (SMulHomClass.toFunLike.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (SMulZeroClass.toSMul.{u1, u2} R A (AddMonoid.toZero.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribSMul.toSMulZeroClass.{u1, u2} R A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (DistribMulAction.toDistribSMul.{u1, u2} R A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (Module.toDistribMulAction.{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_4))))) (SMulZeroClass.toSMul.{u1, u3} R B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribSMul.toSMulZeroClass.{u1, u3} R B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))))) (DistribMulAction.toDistribSMul.{u1, u3} R B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5))))) (DistribMulActionHomClass.toSMulHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)))) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u2 u3, u1, u2, u3} (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) R A B (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3)) (Module.toDistribMulAction.{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_4)) (Module.toDistribMulAction.{u1, u3} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B _inst_3))) (Algebra.toModule.{u1, u3} R B _inst_1 _inst_3 _inst_5)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u1, u2, u3, max u2 u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (AlgHom.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (AlgHom.algHomClass.{u1, u2, u3} R A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5))))) f)
+Case conversion may be inaccurate. Consider using '#align alg_hom.coe_to_non_unital_alg_hom AlgHom.coe_to_nonUnitalAlgHomₓ'. -/
 @[simp, norm_cast]
 theorem coe_to_nonUnitalAlgHom (f : A →ₐ[R] B) : ((f : A →ₙₐ[R] B) : A → B) = f :=
   rfl

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

Generalize MulActionHom so that it allows two different monoids acting, related by a morphism. This is inspired by the treatment of (semi)linear maps in mathlib, and allows to refactor them.

Let M, N, X, Y be types, with SMul M X and SMul N Y, and let φ : M → N be a map.

• MulActionHom φ X Y, the type of equivariant functions from X to Y, consists of functions f : X → Y such that f (m • x) = (φ m) • (f x) for all m : M and x : X.

Assume that we have Monoid M, Monoid N and that φ : M →* N. For A, B by types with AddMonoid A and AddMonoid B, endowed with DistribMulAction M A and DistribMulAction M B:

• DistribMulActionHom φ A B is the type of equivariant additive monoid homomorphisms from A to B.

Similarly, when R and S are types with Semiring R, Semiring S, MulSemiringAction M R and MulSemiringAction N S

• SMulSemiringHom φ R S is the type of equivariant ring homomorphisms from R to S.

The above types have corresponding classes:

• MulActionHomClass F φ X Y states that F is a type of bundled X → Y homs which are φ-equivariant
• DistribMulActionHomClass F φ A B states that F is a type of bundled A → B homs preserving the additive monoid structure and φ-equivariant
• SMulSemiringHomClass F φ R S states that F is a type of bundled R → S homs preserving the ring structure and φ-equivariant

Notation

We introduce the following notation to code equivariant maps (the subscript index ₑ is for equivariant) :

• X →ₑ[φ] Y is MulActionHom φ X Y.
• A →ₑ+[φ] B is DistribMulActionHom φ A B.
• R →ₑ+*[φ] S is MulSemiringActionHom φ R S.

When M = N and φ = MonoidHom.id M, we provide the backward compatible notation :

• X →[M] Y is MulActionHom ([@id](https://github.com/id) M) X Y
• A →+[M] B is DistribMulActionHom (MonoidHom.id M) A B
• R →+*[M] S is MulSemiringActionHom (MonoidHom.id M) R S

This more general definition is propagated all over mathlib, in particular to LinearMap.

The treatment of composition of equivariant maps is inspired by that of semilinear maps. We provide classes CompTriple and MonoidHom.CompTriple of “composable triples`, and various instances for them.

@@ -43,31 +43,46 @@ TODO: add `NonUnitalAlgEquiv` when needed.
 non-unital, algebra, morphism
 -/
 
-universe u v w w₁ w₂ w₃
+universe u u₁ v w w₁ w₂ w₃
 
-variable (R : Type u) (A : Type v) (B : Type w) (C : Type w₁)
+variable {R : Type u} {S : Type u₁}
 
 /-- A morphism respecting addition, multiplication, and scalar multiplication. When these arise from
 algebra structures, this is the same as a not-necessarily-unital morphism of algebras. -/
-structure NonUnitalAlgHom [Monoid R] [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
-  [NonUnitalNonAssocSemiring B] [DistribMulAction R B] extends A →+[R] B, A →ₙ* B
+structure NonUnitalAlgHom [Monoid R] [Monoid S] (φ : R →* S) (A : Type v) (B : Type w)
+    [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
+    [NonUnitalNonAssocSemiring B] [DistribMulAction S B] extends A →ₑ+[φ] B, A →ₙ* B
+
 #align non_unital_alg_hom NonUnitalAlgHom
 
 @[inherit_doc NonUnitalAlgHom]
 infixr:25 " →ₙₐ " => NonUnitalAlgHom _
 
 @[inherit_doc]
-notation:25 A " →ₙₐ[" R "] " B => NonUnitalAlgHom R A B
+notation:25 A " →ₙₐ[" R "] " B => NonUnitalAlgHom (MonoidHom.id R) A B
+
+@[inherit_doc]
+notation:25 A " →ₛₙₐ[" φ "] " B => NonUnitalAlgHom φ A B
 
 attribute [nolint docBlame] NonUnitalAlgHom.toMulHom
 
+/-- `NonUnitalAlgSemiHomClass F φ A B` asserts `F` is a type of bundled algebra homomorphisms
+from `A` to `B` which are equivariant with respect to `φ`.  -/
+class NonUnitalAlgSemiHomClass (F : Type*) {R S : outParam (Type*)} [Monoid R] [Monoid S]
+    (φ : outParam (R →* S)) (A B : outParam (Type*))
+    [NonUnitalNonAssocSemiring A] [NonUnitalNonAssocSemiring B]
+    [DistribMulAction R A] [DistribMulAction S B] [FunLike F A B]
+    extends DistribMulActionSemiHomClass F φ A B, MulHomClass F A B : Prop
+#align non_unital_alg_hom_class NonUnitalAlgSemiHomClass
+
 /-- `NonUnitalAlgHomClass F R A B` asserts `F` is a type of bundled algebra homomorphisms
-from `A` to `B`.  -/
-class NonUnitalAlgHomClass (F : Type*) (R A B : outParam Type*)
-  [Monoid R] [NonUnitalNonAssocSemiring A] [NonUnitalNonAssocSemiring B]
-  [DistribMulAction R A] [DistribMulAction R B] [FunLike F A B]
-  extends DistribMulActionHomClass F R A B, MulHomClass F A B : Prop
-#align non_unital_alg_hom_class NonUnitalAlgHomClass
+from `A` to `B` which are `R`-linear.
+
+  This is an abbreviation to `NonUnitalAlgSemiHomClass F (MonoidHom.id R) A B` -/
+abbrev NonUnitalAlgHomClass (F : Type*) (R A B : outParam (Type*))
+    [Monoid R] [NonUnitalNonAssocSemiring A] [NonUnitalNonAssocSemiring B]
+    [DistribMulAction R A] [DistribMulAction R B] [FunLike F A B] :=
+  NonUnitalAlgSemiHomClass F (MonoidHom.id R) A B
 
 -- Porting note: commented out, not dangerous
 -- attribute [nolint dangerousInstance] NonUnitalAlgHomClass.toMulHomClass
@@ -76,34 +91,61 @@ namespace NonUnitalAlgHomClass
 
 -- Porting note: Made following instance non-dangerous through [...] -> [...] replacement
 -- See note [lower instance priority]
-instance (priority := 100) toNonUnitalRingHomClass {F R A B : Type*}
-    {_ : Monoid R} {_ : NonUnitalNonAssocSemiring A} [DistribMulAction R A]
-    {_ : NonUnitalNonAssocSemiring B} [DistribMulAction R B] [FunLike F A B]
-    [NonUnitalAlgHomClass F R A B] : NonUnitalRingHomClass F A B :=
-  { ‹NonUnitalAlgHomClass F R A B› with }
+instance (priority := 100) toNonUnitalRingHomClass
+  {F R S A B : Type*} {_ : Monoid R} {_ : Monoid S} {φ : outParam (R →* S)}
+    {_ : NonUnitalNonAssocSemiring A} [DistribMulAction R A]
+    {_ : NonUnitalNonAssocSemiring B} [DistribMulAction S B] [FunLike F A B]
+    [NonUnitalAlgSemiHomClass F φ A B] : NonUnitalRingHomClass F A B :=
+  { ‹NonUnitalAlgSemiHomClass F φ A B› with }
 #align non_unital_alg_hom_class.non_unital_alg_hom_class.to_non_unital_ring_hom_class NonUnitalAlgHomClass.toNonUnitalRingHomClass
 
-variable [Semiring R] [NonUnitalNonAssocSemiring A] [Module R A]
-  [NonUnitalNonAssocSemiring B] [Module R B]
+variable [Semiring R] [Semiring S] {φ : R →+* S}
+  {A B : Type*} [NonUnitalNonAssocSemiring A] [Module R A]
+  [NonUnitalNonAssocSemiring B] [Module S B]
 
 -- see Note [lower instance priority]
-instance (priority := 100) {F R A B : Type*}
-    {_ : Semiring R} {_ : NonUnitalSemiring A} {_ : NonUnitalSemiring B}
-    [Module R A] [Module R B]
-    [FunLike F A B] [NonUnitalAlgHomClass F R A B] :
+instance (priority := 100) {F R S A B : Type*}
+    {_ : Semiring R} {_ : Semiring S} {φ : R →+* S}
+    {_ : NonUnitalSemiring A} {_ : NonUnitalSemiring B} [Module R A] [Module S B] [FunLike F A B]
+    [NonUnitalAlgSemiHomClass (R := R) (S := S) F φ A B] :
+    SemilinearMapClass F φ A B :=
+  { ‹NonUnitalAlgSemiHomClass F φ A B› with map_smulₛₗ := map_smulₛₗ }
+
+instance (priority := 100) {F : Type*} [FunLike F A B] [Module R B] [NonUnitalAlgHomClass F R A B] :
     LinearMapClass F R A B :=
-  { ‹NonUnitalAlgHomClass F R A B› with map_smulₛₗ := map_smul }
+  { ‹NonUnitalAlgHomClass F R A B› with map_smulₛₗ := map_smulₛₗ }
+
+/-- Turn an element of a type `F` satisfying `NonUnitalAlgSemiHomClass F φ A B` into an actual
+`NonUnitalAlgSemiHom`. This is declared as the default coercion from `F` to `A →ₛₙₐ[φ] B`. -/
+@[coe]
+def toNonUnitalAlgSemiHom {F R S : Type*} [Monoid R] [Monoid S] {φ : R →* S} {A B : Type*}
+    [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
+    [NonUnitalNonAssocSemiring B] [DistribMulAction S B] [FunLike F A B]
+    [NonUnitalAlgSemiHomClass F φ A B] (f : F) : A →ₛₙₐ[φ] B :=
+  { (f : A →ₙ+* B) with
+    toFun := f
+    map_smul' := map_smulₛₗ f }
+
+instance {F R S A B : Type*} [Monoid R] [Monoid S] {φ : R →* S}
+    [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
+    [NonUnitalNonAssocSemiring B] [DistribMulAction S B] [FunLike F A B]
+    [NonUnitalAlgSemiHomClass F φ A B] :
+      CoeTC F (A →ₛₙₐ[φ] B) :=
+  ⟨toNonUnitalAlgSemiHom⟩
 
 /-- Turn an element of a type `F` satisfying `NonUnitalAlgHomClass F R A B` into an actual
-`NonUnitalAlgHom`. This is declared as the default coercion from `F` to `A →ₙₐ[R] B`. -/
 @[coe]
-def toNonUnitalAlgHom {F R A B : Type*} [Monoid R] [NonUnitalNonAssocSemiring A]
-    [DistribMulAction R A] [NonUnitalNonAssocSemiring B] [DistribMulAction R B] [FunLike F A B]
-    [NonUnitalAlgHomClass F R A B] (f : F) : A →ₙₐ[R] B :=
+`NonUnitalAlgHom`. This is declared as the default coercion from `F` to `A →ₛₙₐ[R] B`. -/
+def toNonUnitalAlgHom {F R : Type*} [Monoid R] {A B : Type*}
+    [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
+    [NonUnitalNonAssocSemiring B] [DistribMulAction R B]
+    [FunLike F A B] [NonUnitalAlgHomClass F R A B] (f : F) : A →ₙₐ[R] B :=
   { (f : A →ₙ+* B) with
-    map_smul' := map_smul f }
+    toFun := f
+    map_smul' := map_smulₛₗ f }
 
-instance {F R A B : Type*} [Monoid R] [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
+instance {F R : Type*} [Monoid R] {A B : Type*}
+    [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
     [NonUnitalNonAssocSemiring B] [DistribMulAction R B]
     [FunLike F A B] [NonUnitalAlgHomClass F R A B] :
     CoeTC F (A →ₙₐ[R] B) :=
@@ -113,144 +155,147 @@ end NonUnitalAlgHomClass
 
 namespace NonUnitalAlgHom
 
-variable {R A B C} [Monoid R]
+variable {T : Type*} [Monoid R] [Monoid S] [Monoid T] (φ : R →* S)
+variable (A : Type v) (B : Type w) (C : Type w₁)
 variable [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
-variable [NonUnitalNonAssocSemiring B] [DistribMulAction R B]
-variable [NonUnitalNonAssocSemiring C] [DistribMulAction R C]
+variable [NonUnitalNonAssocSemiring B] [DistribMulAction S B]
+variable [NonUnitalNonAssocSemiring C] [DistribMulAction T C]
 
 -- Porting note: Replaced with DFunLike instance
 -- /-- see Note [function coercion] -/
 -- instance : CoeFun (A →ₙₐ[R] B) fun _ => A → B :=
 --   ⟨toFun⟩
 
-instance : FunLike (A →ₙₐ[R] B) A B where
+instance  : DFunLike (A →ₛₙₐ[φ] B) A fun _ => B where
   coe f := f.toFun
   coe_injective' := by rintro ⟨⟨⟨f, _⟩, _⟩, _⟩ ⟨⟨⟨g, _⟩, _⟩, _⟩ h; congr
 
 @[simp]
-theorem toFun_eq_coe (f : A →ₙₐ[R] B) : f.toFun = ⇑f :=
+theorem toFun_eq_coe (f : A →ₛₙₐ[φ] B) : f.toFun = ⇑f :=
   rfl
 #align non_unital_alg_hom.to_fun_eq_coe NonUnitalAlgHom.toFun_eq_coe
 
 /-- See Note [custom simps projection] -/
-def Simps.apply (f : A →ₙₐ[R] B) : A → B := f
+def Simps.apply (f : A →ₛₙₐ[φ] B) : A → B := f
 
 initialize_simps_projections NonUnitalAlgHom
   (toDistribMulActionHom_toMulActionHom_toFun → apply, -toDistribMulActionHom)
 
+variable {φ A B C}
 @[simp]
-protected theorem coe_coe {F : Type*} [FunLike F A B] [NonUnitalAlgHomClass F R A B] (f : F) :
-    ⇑(f : A →ₙₐ[R] B) = f :=
+protected theorem coe_coe {F : Type*} [FunLike F A B]
+    [NonUnitalAlgSemiHomClass F φ A B] (f : F) :
+    ⇑(f : A →ₛₙₐ[φ] B) = f :=
   rfl
 #align non_unital_alg_hom.coe_coe NonUnitalAlgHom.coe_coe
 
-theorem coe_injective : @Function.Injective (A →ₙₐ[R] B) (A → B) (↑) := by
+theorem coe_injective : @Function.Injective (A →ₛₙₐ[φ] B) (A → B) (↑) := by
   rintro ⟨⟨⟨f, _⟩, _⟩, _⟩ ⟨⟨⟨g, _⟩, _⟩, _⟩ h; congr
-#align non_unital_alg_hom.coe_injective NonUnitalAlgHom.coe_injective
 
-instance : FunLike (A →ₙₐ[R] B) A B
+#align non_unital_alg_hom.coe_injective NonUnitalAlgHom.coe_injective
+instance : FunLike (A →ₛₙₐ[φ] B) A B
     where
   coe f := f.toFun
   coe_injective' := coe_injective
 
-instance : NonUnitalAlgHomClass (A →ₙₐ[R] B) R A B
+instance : NonUnitalAlgSemiHomClass (A →ₛₙₐ[φ] B) φ A B
     where
   map_add f := f.map_add'
   map_zero f := f.map_zero'
   map_mul f := f.map_mul'
-  map_smul f := f.map_smul'
+  map_smulₛₗ f := f.map_smul'
 
 @[ext]
-theorem ext {f g : A →ₙₐ[R] B} (h : ∀ x, f x = g x) : f = g :=
+theorem ext {f g : A →ₛₙₐ[φ] B} (h : ∀ x, f x = g x) : f = g :=
   coe_injective <| funext h
 #align non_unital_alg_hom.ext NonUnitalAlgHom.ext
 
-theorem ext_iff {f g : A →ₙₐ[R] B} : f = g ↔ ∀ x, f x = g x :=
+theorem ext_iff {f g : A →ₛₙₐ[φ] B} : f = g ↔ ∀ x, f x = g x :=
   ⟨by
     rintro rfl x
     rfl, ext⟩
 #align non_unital_alg_hom.ext_iff NonUnitalAlgHom.ext_iff
 
-theorem congr_fun {f g : A →ₙₐ[R] B} (h : f = g) (x : A) : f x = g x :=
+theorem congr_fun {f g : A →ₛₙₐ[φ] B} (h : f = g) (x : A) : f x = g x :=
   h ▸ rfl
 #align non_unital_alg_hom.congr_fun NonUnitalAlgHom.congr_fun
 
 @[simp]
-theorem coe_mk (f : A → B) (h₁ h₂ h₃ h₄) : ⇑(⟨⟨⟨f, h₁⟩, h₂, h₃⟩, h₄⟩ : A →ₙₐ[R] B) = f :=
+theorem coe_mk (f : A → B) (h₁ h₂ h₃ h₄) : ⇑(⟨⟨⟨f, h₁⟩, h₂, h₃⟩, h₄⟩ : A →ₛₙₐ[φ] B) = f :=
   rfl
 #align non_unital_alg_hom.coe_mk NonUnitalAlgHom.coe_mk
 
 @[simp]
-theorem mk_coe (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) : (⟨⟨⟨f, h₁⟩, h₂, h₃⟩, h₄⟩ : A →ₙₐ[R] B) = f := by
+theorem mk_coe (f : A →ₛₙₐ[φ] B) (h₁ h₂ h₃ h₄) : (⟨⟨⟨f, h₁⟩, h₂, h₃⟩, h₄⟩ : A →ₛₙₐ[φ] B) = f := by
   rfl
 #align non_unital_alg_hom.mk_coe NonUnitalAlgHom.mk_coe
 
-instance : CoeOut (A →ₙₐ[R] B) (A →+[R] B) :=
+instance : CoeOut (A →ₛₙₐ[φ] B) (A →ₑ+[φ] B) :=
   ⟨toDistribMulActionHom⟩
 
-instance : CoeOut (A →ₙₐ[R] B) (A →ₙ* B) :=
+instance : CoeOut (A →ₛₙₐ[φ] B) (A →ₙ* B) :=
   ⟨toMulHom⟩
 
 @[simp]
-theorem toDistribMulActionHom_eq_coe (f : A →ₙₐ[R] B) : f.toDistribMulActionHom = ↑f :=
+theorem toDistribMulActionHom_eq_coe (f : A →ₛₙₐ[φ] B) : f.toDistribMulActionHom = ↑f :=
   rfl
 #align non_unital_alg_hom.to_distrib_mul_action_hom_eq_coe NonUnitalAlgHom.toDistribMulActionHom_eq_coe
 
 @[simp]
-theorem toMulHom_eq_coe (f : A →ₙₐ[R] B) : f.toMulHom = ↑f :=
+theorem toMulHom_eq_coe (f : A →ₛₙₐ[φ] B) : f.toMulHom = ↑f :=
   rfl
 #align non_unital_alg_hom.to_mul_hom_eq_coe NonUnitalAlgHom.toMulHom_eq_coe
 
 @[simp, norm_cast]
-theorem coe_to_distribMulActionHom (f : A →ₙₐ[R] B) : ⇑(f : A →+[R] B) = f :=
+theorem coe_to_distribMulActionHom (f : A →ₛₙₐ[φ] B) : ⇑(f : A →ₑ+[φ] B) = f :=
   rfl
 #align non_unital_alg_hom.coe_to_distrib_mul_action_hom NonUnitalAlgHom.coe_to_distribMulActionHom
 
 @[simp, norm_cast]
-theorem coe_to_mulHom (f : A →ₙₐ[R] B) : ⇑(f : A →ₙ* B) = f :=
+theorem coe_to_mulHom (f : A →ₛₙₐ[φ] B) : ⇑(f : A →ₙ* B) = f :=
   rfl
 #align non_unital_alg_hom.coe_to_mul_hom NonUnitalAlgHom.coe_to_mulHom
 
-theorem to_distribMulActionHom_injective {f g : A →ₙₐ[R] B}
-    (h : (f : A →+[R] B) = (g : A →+[R] B)) : f = g := by
+theorem to_distribMulActionHom_injective {f g : A →ₛₙₐ[φ] B}
+    (h : (f : A →ₑ+[φ] B) = (g : A →ₑ+[φ] B)) : f = g := by
   ext a
   exact DistribMulActionHom.congr_fun h a
 #align non_unital_alg_hom.to_distrib_mul_action_hom_injective NonUnitalAlgHom.to_distribMulActionHom_injective
 
-theorem to_mulHom_injective {f g : A →ₙₐ[R] B} (h : (f : A →ₙ* B) = (g : A →ₙ* B)) : f = g := by
+theorem to_mulHom_injective {f g : A →ₛₙₐ[φ] B} (h : (f : A →ₙ* B) = (g : A →ₙ* B)) : f = g := by
   ext a
   exact DFunLike.congr_fun h a
 #align non_unital_alg_hom.to_mul_hom_injective NonUnitalAlgHom.to_mulHom_injective
 
 @[norm_cast]
-theorem coe_distribMulActionHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) :
-    ((⟨⟨⟨f, h₁⟩, h₂, h₃⟩, h₄⟩ : A →ₙₐ[R] B) : A →+[R] B) = ⟨⟨f, h₁⟩, h₂, h₃⟩ := by
+theorem coe_distribMulActionHom_mk (f : A →ₛₙₐ[φ] B) (h₁ h₂ h₃ h₄) :
+    ((⟨⟨⟨f, h₁⟩, h₂, h₃⟩, h₄⟩ : A →ₛₙₐ[φ] B) : A →ₑ+[φ] B) = ⟨⟨f, h₁⟩, h₂, h₃⟩ := by
   rfl
 #align non_unital_alg_hom.coe_distrib_mul_action_hom_mk NonUnitalAlgHom.coe_distribMulActionHom_mk
 
 @[norm_cast]
-theorem coe_mulHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) :
-    ((⟨⟨⟨f, h₁⟩, h₂, h₃⟩, h₄⟩ : A →ₙₐ[R] B) : A →ₙ* B) = ⟨f, h₄⟩ := by
+theorem coe_mulHom_mk (f : A →ₛₙₐ[φ] B) (h₁ h₂ h₃ h₄) :
+    ((⟨⟨⟨f, h₁⟩, h₂, h₃⟩, h₄⟩ : A →ₛₙₐ[φ] B) : A →ₙ* B) = ⟨f, h₄⟩ := by
   rfl
 #align non_unital_alg_hom.coe_mul_hom_mk NonUnitalAlgHom.coe_mulHom_mk
 
--- @[simp] -- Porting note (#10618): simp can prove this
-protected theorem map_smul (f : A →ₙₐ[R] B) (c : R) (x : A) : f (c • x) = c • f x :=
-  map_smul _ _ _
+-- @[simp] -- Porting note (#10618) : simp can prove this
+protected theorem map_smul (f : A →ₛₙₐ[φ] B) (c : R) (x : A) : f (c • x) = (φ c) • f x :=
+  map_smulₛₗ _ _ _
 #align non_unital_alg_hom.map_smul NonUnitalAlgHom.map_smul
 
--- @[simp] -- Porting note (#10618): simp can prove this
-protected theorem map_add (f : A →ₙₐ[R] B) (x y : A) : f (x + y) = f x + f y :=
+-- @[simp] -- Porting note (#10618) : simp can prove this
+protected theorem map_add (f : A →ₛₙₐ[φ] B) (x y : A) : f (x + y) = f x + f y :=
   map_add _ _ _
 #align non_unital_alg_hom.map_add NonUnitalAlgHom.map_add
 
--- @[simp] -- Porting note (#10618): simp can prove this
-protected theorem map_mul (f : A →ₙₐ[R] B) (x y : A) : f (x * y) = f x * f y :=
+-- @[simp] -- Porting note (#10618) : simp can prove this
+protected theorem map_mul (f : A →ₛₙₐ[φ] B) (x y : A) : f (x * y) = f x * f y :=
   map_mul _ _ _
 #align non_unital_alg_hom.map_mul NonUnitalAlgHom.map_mul
 
--- @[simp] -- Porting note (#10618): simp can prove this
-protected theorem map_zero (f : A →ₙₐ[R] B) : f 0 = 0 :=
+-- @[simp] -- Porting note (#10618) : simp can prove this
+protected theorem map_zero (f : A →ₛₙₐ[φ] B) : f 0 = 0 :=
   map_zero _
 #align non_unital_alg_hom.map_zero NonUnitalAlgHom.map_zero
 
@@ -265,14 +310,14 @@ protected def id (R A : Type*) [Monoid R] [NonUnitalNonAssocSemiring A]
 theorem coe_id : ⇑(NonUnitalAlgHom.id R A) = id :=
   rfl
 
-instance : Zero (A →ₙₐ[R] B) :=
-  ⟨{ (0 : A →+[R] B) with map_mul' := by simp }⟩
+instance : Zero (A →ₛₙₐ[φ] B) :=
+  ⟨{ (0 : A →ₑ+[φ] B) with map_mul' := by simp }⟩
 
 instance : One (A →ₙₐ[R] A) :=
   ⟨NonUnitalAlgHom.id R A⟩
 
 @[simp]
-theorem coe_zero : ⇑(0 : A →ₙₐ[R] B) = 0 :=
+theorem coe_zero : ⇑(0 : A →ₛₙₐ[φ] B) = 0 :=
   rfl
 #align non_unital_alg_hom.coe_zero NonUnitalAlgHom.coe_zero
 
@@ -281,7 +326,7 @@ theorem coe_one : ((1 : A →ₙₐ[R] A) : A → A) = id :=
   rfl
 #align non_unital_alg_hom.coe_one NonUnitalAlgHom.coe_one
 
-theorem zero_apply (a : A) : (0 : A →ₙₐ[R] B) a = 0 :=
+theorem zero_apply (a : A) : (0 : A →ₛₙₐ[φ] B) a = 0 :=
   rfl
 #align non_unital_alg_hom.zero_apply NonUnitalAlgHom.zero_apply
 
@@ -289,36 +334,62 @@ theorem one_apply (a : A) : (1 : A →ₙₐ[R] A) a = a :=
   rfl
 #align non_unital_alg_hom.one_apply NonUnitalAlgHom.one_apply
 
-instance : Inhabited (A →ₙₐ[R] B) :=
+instance : Inhabited (A →ₛₙₐ[φ] B) :=
   ⟨0⟩
 
+variable {φ' : S →* R} {ψ : S →* T} {χ : R →* T}
+
+set_option linter.unusedVariables false in
 /-- The composition of morphisms is a morphism. -/
-def comp (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) : A →ₙₐ[R] C :=
-  { (f : B →ₙ* C).comp (g : A →ₙ* B), (f : B →+[R] C).comp (g : A →+[R] B) with }
+def comp (f : B →ₛₙₐ[ψ] C) (g : A →ₛₙₐ[φ] B) [κ : MonoidHom.CompTriple φ ψ χ]:
+    A →ₛₙₐ[χ] C :=
+  { (f : B →ₙ* C).comp (g : A →ₙ* B), (f : B →ₑ+[ψ] C).comp (g : A →ₑ+[φ] B) with }
 #align non_unital_alg_hom.comp NonUnitalAlgHom.comp
 
 @[simp, norm_cast]
-theorem coe_comp (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) :
-    ⇑(f.comp g) = (⇑f) ∘ (⇑g) :=
-  rfl
+theorem coe_comp (f : B →ₛₙₐ[ψ] C) (g : A →ₛₙₐ[φ] B) [MonoidHom.CompTriple φ ψ χ] :
+    ⇑(f.comp g) = (⇑f) ∘ (⇑g) := rfl
 #align non_unital_alg_hom.coe_comp NonUnitalAlgHom.coe_comp
 
-theorem comp_apply (f : B →ₙₐ[R] C) (g : A →ₙₐ[R] B) (x : A) : f.comp g x = f (g x) :=
-  rfl
+theorem comp_apply (f : B →ₛₙₐ[ψ] C) (g : A →ₛₙₐ[φ] B) [MonoidHom.CompTriple φ ψ χ] (x : A) :
+    f.comp g x = f (g x) := rfl
 #align non_unital_alg_hom.comp_apply NonUnitalAlgHom.comp_apply
 
+variable {B₁: Type*} [NonUnitalNonAssocSemiring B₁] [DistribMulAction R B₁]
+
 /-- The inverse of a bijective morphism is a morphism. -/
-def inverse (f : A →ₙₐ[R] B) (g : B → A) (h₁ : Function.LeftInverse g f)
-    (h₂ : Function.RightInverse g f) : B →ₙₐ[R] A :=
-  { (f : A →ₙ* B).inverse g h₁ h₂, (f : A →+[R] B).inverse g h₁ h₂ with }
+def inverse (f : A →ₙₐ[R] B₁) (g : B₁ → A)
+    (h₁ : Function.LeftInverse g f)
+    (h₂ : Function.RightInverse g f) : B₁ →ₙₐ[R] A :=
+  { (f : A →ₙ* B₁).inverse g h₁ h₂, (f : A →+[R] B₁).inverse g h₁ h₂ with }
 #align non_unital_alg_hom.inverse NonUnitalAlgHom.inverse
 
 @[simp]
-theorem coe_inverse (f : A →ₙₐ[R] B) (g : B → A) (h₁ : Function.LeftInverse g f)
-    (h₂ : Function.RightInverse g f) : (inverse f g h₁ h₂ : B → A) = g :=
+theorem coe_inverse (f : A →ₙₐ[R] B₁) (g : B₁ → A) (h₁ : Function.LeftInverse g f)
+    (h₂ : Function.RightInverse g f) : (inverse f g h₁ h₂ : B₁ → A) = g :=
   rfl
 #align non_unital_alg_hom.coe_inverse NonUnitalAlgHom.coe_inverse
 
+/-- The inverse of a bijective morphism is a morphism. -/
+def inverse' (f : A →ₛₙₐ[φ] B) (g : B → A)
+    (k : Function.RightInverse φ' φ)
+    (h₁ : Function.LeftInverse g f) (h₂ : Function.RightInverse g f) :
+    B →ₛₙₐ[φ'] A :=
+  { (f : A →ₙ* B).inverse g h₁ h₂, (f : A →ₑ+[φ] B).inverse' g k h₁ h₂ with
+    map_zero' := by
+      simp only [MulHom.toFun_eq_coe, MulHom.inverse_apply]
+      rw [← f.map_zero, h₁]
+    map_add' := fun x y ↦ by
+      simp only [MulHom.toFun_eq_coe, MulHom.inverse_apply]
+      rw [← h₂ x, ← h₂ y, ← map_add, h₁, h₂, h₂] }
+
+@[simp]
+theorem coe_inverse' (f : A →ₛₙₐ[φ] B) (g : B → A)
+    (k : Function.RightInverse φ' φ)
+    (h₁ : Function.LeftInverse g f) (h₂ : Function.RightInverse g f) :
+    (inverse' f g k h₁ h₂ : B → A) = g :=
+  rfl
+
 /-! ### Operations on the product type
 
 Note that much of this is copied from [`LinearAlgebra/Prod`](../../LinearAlgebra/Prod). -/
@@ -327,6 +398,7 @@ Note that much of this is copied from [`LinearAlgebra/Prod`](../../LinearAlgebra
 section Prod
 
 variable (R A B)
+variable  [DistribMulAction R B]
 
 /-- The first projection of a product is a non-unital alg_hom. -/
 @[simps]
@@ -349,6 +421,7 @@ def snd : A × B →ₙₐ[R] B where
 #align non_unital_alg_hom.snd NonUnitalAlgHom.snd
 
 variable {R A B}
+variable [DistribMulAction R C]
 
 /-- The prod of two morphisms is a morphism. -/
 @[simps]
@@ -358,7 +431,7 @@ def prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : A →ₙₐ[R] B × C
   map_zero' := by simp only [Pi.prod, Prod.zero_eq_mk, map_zero]
   map_add' x y := by simp only [Pi.prod, Prod.mk_add_mk, map_add]
   map_mul' x y := by simp only [Pi.prod, Prod.mk_mul_mk, map_mul]
-  map_smul' c x := by simp only [Pi.prod, Prod.smul_mk, map_smul, RingHom.id_apply]
+  map_smul' c x := by simp only [Pi.prod, map_smul, MonoidHom.id_apply, id_eq, Prod.smul_mk]
 #align non_unital_alg_hom.prod NonUnitalAlgHom.prod
 
 theorem coe_prod (f : A →ₙₐ[R] B) (g : A →ₙₐ[R] C) : ⇑(f.prod g) = Pi.prod f g :=
@@ -429,16 +502,15 @@ end NonUnitalAlgHom
 
 /-! ### Interaction with `AlgHom` -/
 
-
 namespace AlgHom
 
-variable {R A B} [CommSemiring R] [Semiring A] [Semiring B] [Algebra R A]
+variable {F R : Type*} [CommSemiring R]
+variable {A B : Type*} [Semiring A] [Semiring B] [Algebra R A]
   [Algebra R B]
 
 -- see Note [lower instance priority]
-instance (priority := 100) {F : Type*} [FunLike F A B] [AlgHomClass F R A B] :
-    NonUnitalAlgHomClass F R A B :=
-  { ‹AlgHomClass F R A B› with map_smul := map_smul }
+instance (priority := 100) [FunLike F A B] [AlgHomClass F R A B] : NonUnitalAlgHomClass F R A B :=
+  { ‹AlgHomClass F R A B› with map_smulₛₗ := map_smul }
 
 /-- A unital morphism of algebras is a `NonUnitalAlgHom`. -/
 @[coe]
@@ -455,9 +527,11 @@ theorem toNonUnitalAlgHom_eq_coe (f : A →ₐ[R] B) : f.toNonUnitalAlgHom = f :
   rfl
 #align alg_hom.to_non_unital_alg_hom_eq_coe AlgHom.toNonUnitalAlgHom_eq_coe
 
-@[simp, norm_cast]
+-- Note (#6057) : tagging simpNF because linter complains
+@[simp, norm_cast, nolint simpNF]
 theorem coe_to_nonUnitalAlgHom (f : A →ₐ[R] B) : ⇑(f.toNonUnitalAlgHom) = ⇑f :=
   rfl
+
 #align alg_hom.coe_to_non_unital_alg_hom AlgHom.coe_to_nonUnitalAlgHom
 
 end AlgHom

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)

@@ -114,11 +114,8 @@ end NonUnitalAlgHomClass
 namespace NonUnitalAlgHom
 
 variable {R A B C} [Monoid R]
-
 variable [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
-
 variable [NonUnitalNonAssocSemiring B] [DistribMulAction R B]
-
 variable [NonUnitalNonAssocSemiring C] [DistribMulAction R C]
 
 -- Porting note: Replaced with DFunLike instance

... or reduce its scope (the full removal is not as obvious).

@@ -43,9 +43,6 @@ TODO: add `NonUnitalAlgEquiv` when needed.
 non-unital, algebra, morphism
 -/
 
-set_option autoImplicit true
-
-
 universe u v w w₁ w₂ w₃
 
 variable (R : Type u) (A : Type v) (B : Type w) (C : Type w₁)
@@ -442,7 +439,7 @@ variable {R A B} [CommSemiring R] [Semiring A] [Semiring B] [Algebra R A]
   [Algebra R B]
 
 -- see Note [lower instance priority]
-instance (priority := 100) [FunLike F A B] [AlgHomClass F R A B] :
+instance (priority := 100) {F : Type*} [FunLike F A B] [AlgHomClass F R A B] :
     NonUnitalAlgHomClass F R A B :=
   { ‹AlgHomClass F R A B› with map_smul := map_smul }
 

Classify by adding issue number (#10618) to porting notes claiming anything semantically equivalent to simp can prove this or simp can simplify this.

@@ -240,22 +240,22 @@ theorem coe_mulHom_mk (f : A →ₙₐ[R] B) (h₁ h₂ h₃ h₄) :
   rfl
 #align non_unital_alg_hom.coe_mul_hom_mk NonUnitalAlgHom.coe_mulHom_mk
 
--- @[simp] -- Porting note: simp can prove this
+-- @[simp] -- Porting note (#10618): simp can prove this
 protected theorem map_smul (f : A →ₙₐ[R] B) (c : R) (x : A) : f (c • x) = c • f x :=
   map_smul _ _ _
 #align non_unital_alg_hom.map_smul NonUnitalAlgHom.map_smul
 
--- @[simp] -- Porting note: simp can prove this
+-- @[simp] -- Porting note (#10618): simp can prove this
 protected theorem map_add (f : A →ₙₐ[R] B) (x y : A) : f (x + y) = f x + f y :=
   map_add _ _ _
 #align non_unital_alg_hom.map_add NonUnitalAlgHom.map_add
 
--- @[simp] -- Porting note: simp can prove this
+-- @[simp] -- Porting note (#10618): simp can prove this
 protected theorem map_mul (f : A →ₙₐ[R] B) (x y : A) : f (x * y) = f x * f y :=
   map_mul _ _ _
 #align non_unital_alg_hom.map_mul NonUnitalAlgHom.map_mul
 
--- @[simp] -- Porting note: simp can prove this
+-- @[simp] -- Porting note (#10618): simp can prove this
 protected theorem map_zero (f : A →ₙₐ[R] B) : f 0 = 0 :=
   map_zero _
 #align non_unital_alg_hom.map_zero NonUnitalAlgHom.map_zero

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

Zulip thread

Important changes

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

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

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

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

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

Similarly, MyEquivClass should take EquivLike as a parameter.

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

Remaining issues

Slower (failing) search

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

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

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

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

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

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

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

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

simp not firing sometimes

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

Missing instances due to unification failing

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

Workaround for issues

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

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

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

@@ -66,10 +66,10 @@ attribute [nolint docBlame] NonUnitalAlgHom.toMulHom
 
 /-- `NonUnitalAlgHomClass F R A B` asserts `F` is a type of bundled algebra homomorphisms
 from `A` to `B`.  -/
-class NonUnitalAlgHomClass (F : Type*) (R : outParam (Type*)) (A : outParam (Type*))
-  (B : outParam (Type*)) [Monoid R] [NonUnitalNonAssocSemiring A] [NonUnitalNonAssocSemiring B]
-  [DistribMulAction R A] [DistribMulAction R B] extends DistribMulActionHomClass F R A B,
-  MulHomClass F A B
+class NonUnitalAlgHomClass (F : Type*) (R A B : outParam Type*)
+  [Monoid R] [NonUnitalNonAssocSemiring A] [NonUnitalNonAssocSemiring B]
+  [DistribMulAction R A] [DistribMulAction R B] [FunLike F A B]
+  extends DistribMulActionHomClass F R A B, MulHomClass F A B : Prop
 #align non_unital_alg_hom_class NonUnitalAlgHomClass
 
 -- Porting note: commented out, not dangerous
@@ -80,30 +80,35 @@ namespace NonUnitalAlgHomClass
 -- Porting note: Made following instance non-dangerous through [...] -> [...] replacement
 -- See note [lower instance priority]
 instance (priority := 100) toNonUnitalRingHomClass {F R A B : Type*}
-    [Monoid R] [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
-    [NonUnitalNonAssocSemiring B] [DistribMulAction R B]
+    {_ : Monoid R} {_ : NonUnitalNonAssocSemiring A} [DistribMulAction R A]
+    {_ : NonUnitalNonAssocSemiring B} [DistribMulAction R B] [FunLike F A B]
     [NonUnitalAlgHomClass F R A B] : NonUnitalRingHomClass F A B :=
-  { ‹NonUnitalAlgHomClass F R A B› with coe := (⇑) }
+  { ‹NonUnitalAlgHomClass F R A B› with }
 #align non_unital_alg_hom_class.non_unital_alg_hom_class.to_non_unital_ring_hom_class NonUnitalAlgHomClass.toNonUnitalRingHomClass
 
 variable [Semiring R] [NonUnitalNonAssocSemiring A] [Module R A]
   [NonUnitalNonAssocSemiring B] [Module R B]
 
 -- see Note [lower instance priority]
-instance (priority := 100) {F : Type*} [NonUnitalAlgHomClass F R A B] : LinearMapClass F R A B :=
+instance (priority := 100) {F R A B : Type*}
+    {_ : Semiring R} {_ : NonUnitalSemiring A} {_ : NonUnitalSemiring B}
+    [Module R A] [Module R B]
+    [FunLike F A B] [NonUnitalAlgHomClass F R A B] :
+    LinearMapClass F R A B :=
   { ‹NonUnitalAlgHomClass F R A B› with map_smulₛₗ := map_smul }
 
 /-- Turn an element of a type `F` satisfying `NonUnitalAlgHomClass F R A B` into an actual
 `NonUnitalAlgHom`. This is declared as the default coercion from `F` to `A →ₙₐ[R] B`. -/
 @[coe]
 def toNonUnitalAlgHom {F R A B : Type*} [Monoid R] [NonUnitalNonAssocSemiring A]
-    [DistribMulAction R A] [NonUnitalNonAssocSemiring B] [DistribMulAction R B]
+    [DistribMulAction R A] [NonUnitalNonAssocSemiring B] [DistribMulAction R B] [FunLike F A B]
     [NonUnitalAlgHomClass F R A B] (f : F) : A →ₙₐ[R] B :=
   { (f : A →ₙ+* B) with
     map_smul' := map_smul f }
 
 instance {F R A B : Type*} [Monoid R] [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
-    [NonUnitalNonAssocSemiring B] [DistribMulAction R B] [NonUnitalAlgHomClass F R A B] :
+    [NonUnitalNonAssocSemiring B] [DistribMulAction R B]
+    [FunLike F A B] [NonUnitalAlgHomClass F R A B] :
     CoeTC F (A →ₙₐ[R] B) :=
   ⟨toNonUnitalAlgHom⟩
 
@@ -140,7 +145,7 @@ initialize_simps_projections NonUnitalAlgHom
   (toDistribMulActionHom_toMulActionHom_toFun → apply, -toDistribMulActionHom)
 
 @[simp]
-protected theorem coe_coe {F : Type*} [NonUnitalAlgHomClass F R A B] (f : F) :
+protected theorem coe_coe {F : Type*} [FunLike F A B] [NonUnitalAlgHomClass F R A B] (f : F) :
     ⇑(f : A →ₙₐ[R] B) = f :=
   rfl
 #align non_unital_alg_hom.coe_coe NonUnitalAlgHom.coe_coe
@@ -149,14 +154,17 @@ theorem coe_injective : @Function.Injective (A →ₙₐ[R] B) (A → B) (↑) :
   rintro ⟨⟨⟨f, _⟩, _⟩, _⟩ ⟨⟨⟨g, _⟩, _⟩, _⟩ h; congr
 #align non_unital_alg_hom.coe_injective NonUnitalAlgHom.coe_injective
 
-instance : NonUnitalAlgHomClass (A →ₙₐ[R] B) R A B
+instance : FunLike (A →ₙₐ[R] B) A B
     where
   coe f := f.toFun
   coe_injective' := coe_injective
-  map_smul f := f.map_smul'
+
+instance : NonUnitalAlgHomClass (A →ₙₐ[R] B) R A B
+    where
   map_add f := f.map_add'
   map_zero f := f.map_zero'
   map_mul f := f.map_mul'
+  map_smul f := f.map_smul'
 
 @[ext]
 theorem ext {f g : A →ₙₐ[R] B} (h : ∀ x, f x = g x) : f = g :=
@@ -434,7 +442,8 @@ variable {R A B} [CommSemiring R] [Semiring A] [Semiring B] [Algebra R A]
   [Algebra R B]
 
 -- see Note [lower instance priority]
-instance (priority := 100) [AlgHomClass F R A B] : NonUnitalAlgHomClass F R A B :=
+instance (priority := 100) [FunLike F A B] [AlgHomClass F R A B] :
+    NonUnitalAlgHomClass F R A B :=
   { ‹AlgHomClass F R A B› with map_smul := map_smul }
 
 /-- A unital morphism of algebras is a `NonUnitalAlgHom`. -/

This follows up from #9785, which renamed FunLike to DFunLike, by introducing a new abbreviation FunLike F α β := DFunLike F α (fun _ => β), to make the non-dependent use of FunLike easier.

I searched for the pattern DFunLike.*fun and DFunLike.*λ in all files to replace expressions of the form DFunLike F α (fun _ => β) with FunLike F α β. I did this everywhere except for extends clauses for two reasons: it would conflict with #8386, and more importantly extends must directly refer to a structure with no unfolding of defs or abbrevs.

@@ -124,7 +124,7 @@ variable [NonUnitalNonAssocSemiring C] [DistribMulAction R C]
 -- instance : CoeFun (A →ₙₐ[R] B) fun _ => A → B :=
 --   ⟨toFun⟩
 
-instance : DFunLike (A →ₙₐ[R] B) A fun _ => B where
+instance : FunLike (A →ₙₐ[R] B) A B where
   coe f := f.toFun
   coe_injective' := by rintro ⟨⟨⟨f, _⟩, _⟩, _⟩ ⟨⟨⟨g, _⟩, _⟩, _⟩ h; congr
 

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>

@@ -119,12 +119,12 @@ variable [NonUnitalNonAssocSemiring B] [DistribMulAction R B]
 
 variable [NonUnitalNonAssocSemiring C] [DistribMulAction R C]
 
--- Porting note: Replaced with FunLike instance
+-- Porting note: Replaced with DFunLike instance
 -- /-- see Note [function coercion] -/
 -- instance : CoeFun (A →ₙₐ[R] B) fun _ => A → B :=
 --   ⟨toFun⟩
 
-instance : FunLike (A →ₙₐ[R] B) A fun _ => B where
+instance : DFunLike (A →ₙₐ[R] B) A fun _ => B where
   coe f := f.toFun
   coe_injective' := by rintro ⟨⟨⟨f, _⟩, _⟩, _⟩ ⟨⟨⟨g, _⟩, _⟩, _⟩ h; congr
 
@@ -217,7 +217,7 @@ theorem to_distribMulActionHom_injective {f g : A →ₙₐ[R] B}
 
 theorem to_mulHom_injective {f g : A →ₙₐ[R] B} (h : (f : A →ₙ* B) = (g : A →ₙ* B)) : f = g := by
   ext a
-  exact FunLike.congr_fun h a
+  exact DFunLike.congr_fun h a
 #align non_unital_alg_hom.to_mul_hom_injective NonUnitalAlgHom.to_mulHom_injective
 
 @[norm_cast]

@@ -93,13 +93,19 @@ variable [Semiring R] [NonUnitalNonAssocSemiring A] [Module R A]
 instance (priority := 100) {F : Type*} [NonUnitalAlgHomClass F R A B] : LinearMapClass F R A B :=
   { ‹NonUnitalAlgHomClass F R A B› with map_smulₛₗ := map_smul }
 
+/-- Turn an element of a type `F` satisfying `NonUnitalAlgHomClass F R A B` into an actual
+`NonUnitalAlgHom`. This is declared as the default coercion from `F` to `A →ₙₐ[R] B`. -/
+@[coe]
+def toNonUnitalAlgHom {F R A B : Type*} [Monoid R] [NonUnitalNonAssocSemiring A]
+    [DistribMulAction R A] [NonUnitalNonAssocSemiring B] [DistribMulAction R B]
+    [NonUnitalAlgHomClass F R A B] (f : F) : A →ₙₐ[R] B :=
+  { (f : A →ₙ+* B) with
+    map_smul' := map_smul f }
+
 instance {F R A B : Type*} [Monoid R] [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
     [NonUnitalNonAssocSemiring B] [DistribMulAction R B] [NonUnitalAlgHomClass F R A B] :
-    CoeTC F (A →ₙₐ[R] B)
-    where coe f :=
-    { (f : A →ₙ+* B) with
-      toFun := f
-      map_smul' := map_smul f }
+    CoeTC F (A →ₙₐ[R] B) :=
+  ⟨toNonUnitalAlgHom⟩
 
 end NonUnitalAlgHomClass
 

Autoimplicits are highly controversial and also defeat the performance-improving work in #6474.

The intent of this PR is to make autoImplicit opt-in on a per-file basis, by disabling it in the lakefile and enabling it again with set_option autoImplicit true in the few files that rely on it.

That also keeps this PR small, as opposed to attempting to "fix" files to not need it any more.

I claim that many of the uses of autoImplicit in these files are accidental; situations such as:

• Assuming variables are in scope, but pasting the lemma in the wrong section
• Pasting in a lemma from a scratch file without checking to see if the variable names are consistent with the rest of the file
• Making a copy-paste error between lemmas and forgetting to add an explicit arguments.

Having set_option autoImplicit false as the default prevents these types of mistake being made in the 90% of files where autoImplicits are not used at all, and causes them to be caught by CI during review.

I think there were various points during the port where we encouraged porters to delete the universes u v lines; I think having autoparams for universe variables only would cover a lot of the cases we actually use them, while avoiding any real shortcomings.

A Zulip poll (after combining overlapping votes accordingly) was in favor of this change with 5:5:18 as the no:dontcare:yes vote ratio.

While this PR was being reviewed, a handful of files gained some more likely-accidental autoImplicits. In these places, set_option autoImplicit true has been placed locally within a section, rather than at the top of the file.

@@ -43,6 +43,8 @@ TODO: add `NonUnitalAlgEquiv` when needed.
 non-unital, algebra, morphism
 -/
 
+set_option autoImplicit true
+
 
 universe u v w w₁ w₂ w₃
 

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

This has nice performance benefits.

@@ -64,8 +64,8 @@ attribute [nolint docBlame] NonUnitalAlgHom.toMulHom
 
 /-- `NonUnitalAlgHomClass F R A B` asserts `F` is a type of bundled algebra homomorphisms
 from `A` to `B`.  -/
-class NonUnitalAlgHomClass (F : Type _) (R : outParam (Type _)) (A : outParam (Type _))
-  (B : outParam (Type _)) [Monoid R] [NonUnitalNonAssocSemiring A] [NonUnitalNonAssocSemiring B]
+class NonUnitalAlgHomClass (F : Type*) (R : outParam (Type*)) (A : outParam (Type*))
+  (B : outParam (Type*)) [Monoid R] [NonUnitalNonAssocSemiring A] [NonUnitalNonAssocSemiring B]
   [DistribMulAction R A] [DistribMulAction R B] extends DistribMulActionHomClass F R A B,
   MulHomClass F A B
 #align non_unital_alg_hom_class NonUnitalAlgHomClass
@@ -77,7 +77,7 @@ namespace NonUnitalAlgHomClass
 
 -- Porting note: Made following instance non-dangerous through [...] -> [...] replacement
 -- See note [lower instance priority]
-instance (priority := 100) toNonUnitalRingHomClass {F R A B : Type _}
+instance (priority := 100) toNonUnitalRingHomClass {F R A B : Type*}
     [Monoid R] [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
     [NonUnitalNonAssocSemiring B] [DistribMulAction R B]
     [NonUnitalAlgHomClass F R A B] : NonUnitalRingHomClass F A B :=
@@ -88,10 +88,10 @@ variable [Semiring R] [NonUnitalNonAssocSemiring A] [Module R A]
   [NonUnitalNonAssocSemiring B] [Module R B]
 
 -- see Note [lower instance priority]
-instance (priority := 100) {F : Type _} [NonUnitalAlgHomClass F R A B] : LinearMapClass F R A B :=
+instance (priority := 100) {F : Type*} [NonUnitalAlgHomClass F R A B] : LinearMapClass F R A B :=
   { ‹NonUnitalAlgHomClass F R A B› with map_smulₛₗ := map_smul }
 
-instance {F R A B : Type _} [Monoid R] [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
+instance {F R A B : Type*} [Monoid R] [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
     [NonUnitalNonAssocSemiring B] [DistribMulAction R B] [NonUnitalAlgHomClass F R A B] :
     CoeTC F (A →ₙₐ[R] B)
     where coe f :=
@@ -132,7 +132,7 @@ initialize_simps_projections NonUnitalAlgHom
   (toDistribMulActionHom_toMulActionHom_toFun → apply, -toDistribMulActionHom)
 
 @[simp]
-protected theorem coe_coe {F : Type _} [NonUnitalAlgHomClass F R A B] (f : F) :
+protected theorem coe_coe {F : Type*} [NonUnitalAlgHomClass F R A B] (f : F) :
     ⇑(f : A →ₙₐ[R] B) = f :=
   rfl
 #align non_unital_alg_hom.coe_coe NonUnitalAlgHom.coe_coe
@@ -245,7 +245,7 @@ protected theorem map_zero (f : A →ₙₐ[R] B) : f 0 = 0 :=
 #align non_unital_alg_hom.map_zero NonUnitalAlgHom.map_zero
 
 /-- The identity map as a `NonUnitalAlgHom`. -/
-protected def id (R A : Type _) [Monoid R] [NonUnitalNonAssocSemiring A]
+protected def id (R A : Type*) [Monoid R] [NonUnitalNonAssocSemiring A]
     [DistribMulAction R A] : A →ₙₐ[R] A :=
   { NonUnitalRingHom.id A with
     toFun := id

• depends on: #5966

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

@@ -2,14 +2,11 @@
 Copyright (c) 2021 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
-
-! This file was ported from Lean 3 source module algebra.hom.non_unital_alg
-! leanprover-community/mathlib commit bd9851ca476957ea4549eb19b40e7b5ade9428cc
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Algebra.Hom
 
+#align_import algebra.hom.non_unital_alg from "leanprover-community/mathlib"@"bd9851ca476957ea4549eb19b40e7b5ade9428cc"
+
 /-!
 # Morphisms of non-unital algebras
 

Grepping for [^ .:{-] [^ :] and reviewing the results. Once I started I couldn't stop. :-)

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

@@ -169,7 +169,7 @@ theorem congr_fun {f g : A →ₙₐ[R] B} (h : f = g) (x : A) : f x = g x :=
 #align non_unital_alg_hom.congr_fun NonUnitalAlgHom.congr_fun
 
 @[simp]
-theorem coe_mk (f : A → B) (h₁ h₂ h₃ h₄) : ⇑(⟨⟨⟨f, h₁⟩, h₂, h₃⟩, h₄⟩ : A →ₙₐ[R] B)  = f :=
+theorem coe_mk (f : A → B) (h₁ h₂ h₃ h₄) : ⇑(⟨⟨⟨f, h₁⟩, h₂, h₃⟩, h₄⟩ : A →ₙₐ[R] B) = f :=
   rfl
 #align non_unital_alg_hom.coe_mk NonUnitalAlgHom.coe_mk
 

This continues the non-unital-ization of mathlib.

• depends on: #5151

@@ -247,11 +247,22 @@ protected theorem map_zero (f : A →ₙₐ[R] B) : f 0 = 0 :=
   map_zero _
 #align non_unital_alg_hom.map_zero NonUnitalAlgHom.map_zero
 
+/-- The identity map as a `NonUnitalAlgHom`. -/
+protected def id (R A : Type _) [Monoid R] [NonUnitalNonAssocSemiring A]
+    [DistribMulAction R A] : A →ₙₐ[R] A :=
+  { NonUnitalRingHom.id A with
+    toFun := id
+    map_smul' := fun _ _ => rfl }
+
+@[simp]
+theorem coe_id : ⇑(NonUnitalAlgHom.id R A) = id :=
+  rfl
+
 instance : Zero (A →ₙₐ[R] B) :=
   ⟨{ (0 : A →+[R] B) with map_mul' := by simp }⟩
 
 instance : One (A →ₙₐ[R] A) :=
-  ⟨{ (1 : A →+[R] A) with map_mul' := by simp }⟩
+  ⟨NonUnitalAlgHom.id R A⟩
 
 @[simp]
 theorem coe_zero : ⇑(0 : A →ₙₐ[R] B) = 0 :=

• Run a non-interactive version of fix-comments.py on all files.
• Go through the diff and manually add/discard/edit chunks.

@@ -409,7 +409,7 @@ end Prod
 
 end NonUnitalAlgHom
 
-/-! ### Interaction with `alg_hom` -/
+/-! ### Interaction with `AlgHom` -/
 
 
 namespace AlgHom

@@ -78,17 +78,17 @@ class NonUnitalAlgHomClass (F : Type _) (R : outParam (Type _)) (A : outParam (T
 
 namespace NonUnitalAlgHomClass
 
--- Porting note: Made following instance non-dangerous through [...] -> {_ : ...} replacement
+-- Porting note: Made following instance non-dangerous through [...] -> [...] replacement
 -- See note [lower instance priority]
 instance (priority := 100) toNonUnitalRingHomClass {F R A B : Type _}
-    {_ : Monoid R} {_ : NonUnitalNonAssocSemiring A} {_ : DistribMulAction R A}
-    {_ : NonUnitalNonAssocSemiring B} {_ : DistribMulAction R B}
+    [Monoid R] [NonUnitalNonAssocSemiring A] [DistribMulAction R A]
+    [NonUnitalNonAssocSemiring B] [DistribMulAction R B]
     [NonUnitalAlgHomClass F R A B] : NonUnitalRingHomClass F A B :=
   { ‹NonUnitalAlgHomClass F R A B› with coe := (⇑) }
 #align non_unital_alg_hom_class.non_unital_alg_hom_class.to_non_unital_ring_hom_class NonUnitalAlgHomClass.toNonUnitalRingHomClass
 
-variable {_ : Semiring R} {_ : NonUnitalNonAssocSemiring A} {_ : Module R A}
-  {_ : NonUnitalNonAssocSemiring B} {_ : Module R B}
+variable [Semiring R] [NonUnitalNonAssocSemiring A] [Module R A]
+  [NonUnitalNonAssocSemiring B] [Module R B]
 
 -- see Note [lower instance priority]
 instance (priority := 100) {F : Type _} [NonUnitalAlgHomClass F R A B] : LinearMapClass F R A B :=
@@ -414,11 +414,11 @@ end NonUnitalAlgHom
 
 namespace AlgHom
 
-variable {R A B} {_ : CommSemiring R} {_ : Semiring A} {_ : Semiring B} {_ : Algebra R A}
-  {_ : Algebra R B}
+variable {R A B} [CommSemiring R] [Semiring A] [Semiring B] [Algebra R A]
+  [Algebra R B]
 
 -- see Note [lower instance priority]
-instance (priority := 100) {F : Type _} [AlgHomClass F R A B] : NonUnitalAlgHomClass F R A B :=
+instance (priority := 100) [AlgHomClass F R A B] : NonUnitalAlgHomClass F R A B :=
   { ‹AlgHomClass F R A B› with map_smul := map_smul }
 
 /-- A unital morphism of algebras is a `NonUnitalAlgHom`. -/

Co-authored-by: Lukas Miaskiwskyi <lukas.mias@gmail.com> Co-authored-by: Oliver Nash <github@olivernash.org>