algebra.algebra.bilinear ⟷ Mathlib.Algebra.Algebra.Bilinear

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

@@ -4,9 +4,9 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
 -/
 import Algebra.Algebra.Basic
-import Algebra.Hom.Iterate
-import Algebra.Hom.NonUnitalAlg
-import LinearAlgebra.TensorProduct
+import Algebra.GroupPower.IterateHom
+import Algebra.Algebra.NonUnitalHom
+import LinearAlgebra.TensorProduct.Basic
 
 #align_import algebra.algebra.bilinear from "leanprover-community/mathlib"@"832f7b9162039c28b9361289c8681f155cae758f"
 

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

@@ -3,10 +3,10 @@ Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
 -/
-import Mathbin.Algebra.Algebra.Basic
-import Mathbin.Algebra.Hom.Iterate
-import Mathbin.Algebra.Hom.NonUnitalAlg
-import Mathbin.LinearAlgebra.TensorProduct
+import Algebra.Algebra.Basic
+import Algebra.Hom.Iterate
+import Algebra.Hom.NonUnitalAlg
+import LinearAlgebra.TensorProduct
 
 #align_import algebra.algebra.bilinear from "leanprover-community/mathlib"@"832f7b9162039c28b9361289c8681f155cae758f"
 

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

@@ -2,17 +2,14 @@
 Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
-
-! This file was ported from Lean 3 source module algebra.algebra.bilinear
-! leanprover-community/mathlib commit 832f7b9162039c28b9361289c8681f155cae758f
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Algebra.Basic
 import Mathbin.Algebra.Hom.Iterate
 import Mathbin.Algebra.Hom.NonUnitalAlg
 import Mathbin.LinearAlgebra.TensorProduct
 
+#align_import algebra.algebra.bilinear from "leanprover-community/mathlib"@"832f7b9162039c28b9361289c8681f155cae758f"
+
 /-!
 # Facts about algebras involving bilinear maps and tensor products
 

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

@@ -36,81 +36,109 @@ section NonUnitalNonAssoc
 variable (R A : Type _) [CommSemiring R] [NonUnitalNonAssocSemiring A] [Module R A]
   [SMulCommClass R A A] [IsScalarTower R A A]
 
+#print LinearMap.mul /-
 /-- The multiplication in a non-unital non-associative algebra is a bilinear map.
 
 A weaker version of this for semirings exists as `add_monoid_hom.mul`. -/
 def mul : A →ₗ[R] A →ₗ[R] A :=
   LinearMap.mk₂ R (· * ·) add_mul smul_mul_assoc mul_add mul_smul_comm
 #align linear_map.mul LinearMap.mul
+-/
 
+#print LinearMap.mul' /-
 /-- The multiplication map on a non-unital algebra, as an `R`-linear map from `A ⊗[R] A` to `A`. -/
 def mul' : A ⊗[R] A →ₗ[R] A :=
   TensorProduct.lift (mul R A)
 #align linear_map.mul' LinearMap.mul'
+-/
 
 variable {A}
 
+#print LinearMap.mulLeft /-
 /-- The multiplication on the left in a non-unital algebra is a linear map. -/
 def mulLeft (a : A) : A →ₗ[R] A :=
   mul R A a
 #align linear_map.mul_left LinearMap.mulLeft
+-/
 
+#print LinearMap.mulRight /-
 /-- The multiplication on the right in an algebra is a linear map. -/
 def mulRight (a : A) : A →ₗ[R] A :=
   (mul R A).flip a
 #align linear_map.mul_right LinearMap.mulRight
+-/
 
+#print LinearMap.mulLeftRight /-
 /-- Simultaneous multiplication on the left and right is a linear map. -/
 def mulLeftRight (ab : A × A) : A →ₗ[R] A :=
   (mulRight R ab.snd).comp (mulLeft R ab.fst)
 #align linear_map.mul_left_right LinearMap.mulLeftRight
+-/
 
+#print LinearMap.mulLeft_toAddMonoidHom /-
 @[simp]
 theorem mulLeft_toAddMonoidHom (a : A) : (mulLeft R a : A →+ A) = AddMonoidHom.mulLeft a :=
   rfl
 #align linear_map.mul_left_to_add_monoid_hom LinearMap.mulLeft_toAddMonoidHom
+-/
 
+#print LinearMap.mulRight_toAddMonoidHom /-
 @[simp]
 theorem mulRight_toAddMonoidHom (a : A) : (mulRight R a : A →+ A) = AddMonoidHom.mulRight a :=
   rfl
 #align linear_map.mul_right_to_add_monoid_hom LinearMap.mulRight_toAddMonoidHom
+-/
 
 variable {R}
 
+#print LinearMap.mul_apply' /-
 @[simp]
 theorem mul_apply' (a b : A) : mul R A a b = a * b :=
   rfl
 #align linear_map.mul_apply' LinearMap.mul_apply'
+-/
 
+#print LinearMap.mulLeft_apply /-
 @[simp]
 theorem mulLeft_apply (a b : A) : mulLeft R a b = a * b :=
   rfl
 #align linear_map.mul_left_apply LinearMap.mulLeft_apply
+-/
 
+#print LinearMap.mulRight_apply /-
 @[simp]
 theorem mulRight_apply (a b : A) : mulRight R a b = b * a :=
   rfl
 #align linear_map.mul_right_apply LinearMap.mulRight_apply
+-/
 
+#print LinearMap.mulLeftRight_apply /-
 @[simp]
 theorem mulLeftRight_apply (a b x : A) : mulLeftRight R (a, b) x = a * x * b :=
   rfl
 #align linear_map.mul_left_right_apply LinearMap.mulLeftRight_apply
+-/
 
+#print LinearMap.mul'_apply /-
 @[simp]
 theorem mul'_apply {a b : A} : mul' R A (a ⊗ₜ b) = a * b :=
   rfl
 #align linear_map.mul'_apply LinearMap.mul'_apply
+-/
 
+#print LinearMap.mulLeft_zero_eq_zero /-
 @[simp]
 theorem mulLeft_zero_eq_zero : mulLeft R (0 : A) = 0 :=
   (mul R A).map_zero
 #align linear_map.mul_left_zero_eq_zero LinearMap.mulLeft_zero_eq_zero
+-/
 
+#print LinearMap.mulRight_zero_eq_zero /-
 @[simp]
 theorem mulRight_zero_eq_zero : mulRight R (0 : A) = 0 :=
   (mul R A).flip.map_zero
 #align linear_map.mul_right_zero_eq_zero LinearMap.mulRight_zero_eq_zero
+-/
 
 end NonUnitalNonAssoc
 
@@ -119,6 +147,7 @@ section NonUnital
 variable (R A : Type _) [CommSemiring R] [NonUnitalSemiring A] [Module R A] [SMulCommClass R A A]
   [IsScalarTower R A A]
 
+#print NonUnitalAlgHom.lmul /-
 /-- The multiplication in a non-unital algebra is a bilinear map.
 
 A weaker version of this for non-unital non-associative algebras exists as `linear_map.mul`. -/
@@ -127,27 +156,36 @@ def NonUnitalAlgHom.lmul : A →ₙₐ[R] End R A :=
     map_mul' := by intro a b; ext c; exact mul_assoc a b c
     map_zero' := by ext a; exact MulZeroClass.zero_mul a }
 #align non_unital_alg_hom.lmul NonUnitalAlgHom.lmul
+-/
 
 variable {R A}
 
+#print NonUnitalAlgHom.coe_lmul_eq_mul /-
 @[simp]
 theorem NonUnitalAlgHom.coe_lmul_eq_mul : ⇑(NonUnitalAlgHom.lmul R A) = mul R A :=
   rfl
 #align non_unital_alg_hom.coe_lmul_eq_mul NonUnitalAlgHom.coe_lmul_eq_mul
+-/
 
+#print LinearMap.commute_mulLeft_right /-
 theorem commute_mulLeft_right (a b : A) : Commute (mulLeft R a) (mulRight R b) := by ext c;
   exact (mul_assoc a c b).symm
 #align linear_map.commute_mul_left_right LinearMap.commute_mulLeft_right
+-/
 
+#print LinearMap.mulLeft_mul /-
 @[simp]
 theorem mulLeft_mul (a b : A) : mulLeft R (a * b) = (mulLeft R a).comp (mulLeft R b) := by ext;
   simp only [mul_left_apply, comp_apply, mul_assoc]
 #align linear_map.mul_left_mul LinearMap.mulLeft_mul
+-/
 
+#print LinearMap.mulRight_mul /-
 @[simp]
 theorem mulRight_mul (a b : A) : mulRight R (a * b) = (mulRight R b).comp (mulRight R a) := by ext;
   simp only [mul_right_apply, comp_apply, mul_assoc]
 #align linear_map.mul_right_mul LinearMap.mulRight_mul
+-/
 
 end NonUnital
 
@@ -155,6 +193,7 @@ section Semiring
 
 variable (R A : Type _) [CommSemiring R] [Semiring A] [Algebra R A]
 
+#print Algebra.lmul /-
 /-- The multiplication in an algebra is an algebra homomorphism into the endomorphisms on
 the algebra.
 
@@ -166,14 +205,18 @@ def Algebra.lmul : A →ₐ[R] End R A :=
     map_zero' := by ext a; exact MulZeroClass.zero_mul a
     commutes' := by intro r; ext a; exact (Algebra.smul_def r a).symm }
 #align algebra.lmul Algebra.lmul
+-/
 
 variable {R A}
 
+#print Algebra.coe_lmul_eq_mul /-
 @[simp]
 theorem Algebra.coe_lmul_eq_mul : ⇑(Algebra.lmul R A) = mul R A :=
   rfl
 #align algebra.coe_lmul_eq_mul Algebra.coe_lmul_eq_mul
+-/
 
+#print LinearMap.mulLeft_eq_zero_iff /-
 @[simp]
 theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 :=
   by
@@ -181,7 +224,9 @@ theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 :=
   · rw [← mul_one a, ← mul_left_apply a 1, h, LinearMap.zero_apply]
   · rw [h]; exact mul_left_zero_eq_zero
 #align linear_map.mul_left_eq_zero_iff LinearMap.mulLeft_eq_zero_iff
+-/
 
+#print LinearMap.mulRight_eq_zero_iff /-
 @[simp]
 theorem mulRight_eq_zero_iff (a : A) : mulRight R a = 0 ↔ a = 0 :=
   by
@@ -189,6 +234,7 @@ theorem mulRight_eq_zero_iff (a : A) : mulRight R a = 0 ↔ a = 0 :=
   · rw [← one_mul a, ← mul_right_apply a 1, h, LinearMap.zero_apply]
   · rw [h]; exact mul_right_zero_eq_zero
 #align linear_map.mul_right_eq_zero_iff LinearMap.mulRight_eq_zero_iff
+-/
 
 #print LinearMap.mulLeft_one /-
 @[simp]
@@ -227,6 +273,7 @@ section Ring
 
 variable {R A : Type _} [CommSemiring R] [Ring A] [Algebra R A]
 
+#print LinearMap.mulLeft_injective /-
 theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulLeft R x) :=
   by
@@ -234,7 +281,9 @@ theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
   letI := NoZeroDivisors.to_isDomain A
   exact mul_right_injective₀ hx
 #align linear_map.mul_left_injective LinearMap.mulLeft_injective
+-/
 
+#print LinearMap.mulRight_injective /-
 theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulRight R x) :=
   by
@@ -242,13 +291,16 @@ theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
   letI := NoZeroDivisors.to_isDomain A
   exact mul_left_injective₀ hx
 #align linear_map.mul_right_injective LinearMap.mulRight_injective
+-/
 
+#print LinearMap.mul_injective /-
 theorem mul_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) : Function.Injective (mul R A x) :=
   by
   letI : Nontrivial A := ⟨⟨x, 0, hx⟩⟩
   letI := NoZeroDivisors.to_isDomain A
   exact mul_right_injective₀ hx
 #align linear_map.mul_injective LinearMap.mul_injective
+-/
 
 end Ring
 

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

@@ -169,12 +169,10 @@ def Algebra.lmul : A →ₐ[R] End R A :=
 
 variable {R A}
 
-#print Algebra.coe_lmul_eq_mul /-
 @[simp]
 theorem Algebra.coe_lmul_eq_mul : ⇑(Algebra.lmul R A) = mul R A :=
   rfl
 #align algebra.coe_lmul_eq_mul Algebra.coe_lmul_eq_mul
--/
 
 @[simp]
 theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 :=

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

@@ -25,7 +25,7 @@ in order to avoid importing `linear_algebra.bilinear_map` and
 -/
 
 
-open TensorProduct
+open scoped TensorProduct
 
 open Module
 

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

@@ -36,9 +36,6 @@ section NonUnitalNonAssoc
 variable (R A : Type _) [CommSemiring R] [NonUnitalNonAssocSemiring A] [Module R A]
   [SMulCommClass R A A] [IsScalarTower R A A]
 
-/- warning: linear_map.mul -> LinearMap.mul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mul LinearMap.mulₓ'. -/
 /-- The multiplication in a non-unital non-associative algebra is a bilinear map.
 
 A weaker version of this for semirings exists as `add_monoid_hom.mul`. -/
@@ -46,12 +43,6 @@ def mul : A →ₗ[R] A →ₗ[R] A :=
   LinearMap.mk₂ R (· * ·) add_mul smul_mul_assoc mul_add mul_smul_comm
 #align linear_map.mul LinearMap.mul
 
-/- warning: linear_map.mul' -> LinearMap.mul' is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.module.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3
-but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.instModuleTensorProductToSemiringAddCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3
-Case conversion may be inaccurate. Consider using '#align linear_map.mul' LinearMap.mul'ₓ'. -/
 /-- The multiplication map on a non-unital algebra, as an `R`-linear map from `A ⊗[R] A` to `A`. -/
 def mul' : A ⊗[R] A →ₗ[R] A :=
   TensorProduct.lift (mul R A)
@@ -59,50 +50,26 @@ def mul' : A ⊗[R] A →ₗ[R] A :=
 
 variable {A}
 
-/- warning: linear_map.mul_left -> LinearMap.mulLeft is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3)
-but is expected to have type
-  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3)
-Case conversion may be inaccurate. Consider using '#align linear_map.mul_left LinearMap.mulLeftₓ'. -/
 /-- The multiplication on the left in a non-unital algebra is a linear map. -/
 def mulLeft (a : A) : A →ₗ[R] A :=
   mul R A a
 #align linear_map.mul_left LinearMap.mulLeft
 
-/- warning: linear_map.mul_right -> LinearMap.mulRight is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3)
-but is expected to have type
-  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3)
-Case conversion may be inaccurate. Consider using '#align linear_map.mul_right LinearMap.mulRightₓ'. -/
 /-- The multiplication on the right in an algebra is a linear map. -/
 def mulRight (a : A) : A →ₗ[R] A :=
   (mul R A).flip a
 #align linear_map.mul_right LinearMap.mulRight
 
-/- warning: linear_map.mul_left_right -> LinearMap.mulLeftRight is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], (Prod.{u2, u2} A A) -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3)
-but is expected to have type
-  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], (Prod.{u2, u2} A A) -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3)
-Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_right LinearMap.mulLeftRightₓ'. -/
 /-- Simultaneous multiplication on the left and right is a linear map. -/
 def mulLeftRight (ab : A × A) : A →ₗ[R] A :=
   (mulRight R ab.snd).comp (mulLeft R ab.fst)
 #align linear_map.mul_left_right LinearMap.mulLeftRight
 
-/- warning: linear_map.mul_left_to_add_monoid_hom -> LinearMap.mulLeft_toAddMonoidHom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_to_add_monoid_hom LinearMap.mulLeft_toAddMonoidHomₓ'. -/
 @[simp]
 theorem mulLeft_toAddMonoidHom (a : A) : (mulLeft R a : A →+ A) = AddMonoidHom.mulLeft a :=
   rfl
 #align linear_map.mul_left_to_add_monoid_hom LinearMap.mulLeft_toAddMonoidHom
 
-/- warning: linear_map.mul_right_to_add_monoid_hom -> LinearMap.mulRight_toAddMonoidHom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_to_add_monoid_hom LinearMap.mulRight_toAddMonoidHomₓ'. -/
 @[simp]
 theorem mulRight_toAddMonoidHom (a : A) : (mulRight R a : A →+ A) = AddMonoidHom.mulRight a :=
   rfl
@@ -110,66 +77,36 @@ theorem mulRight_toAddMonoidHom (a : A) : (mulRight R a : A →+ A) = AddMonoidH
 
 variable {R}
 
-/- warning: linear_map.mul_apply' -> LinearMap.mul_apply' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mul_apply' LinearMap.mul_apply'ₓ'. -/
 @[simp]
 theorem mul_apply' (a b : A) : mul R A a b = a * b :=
   rfl
 #align linear_map.mul_apply' LinearMap.mul_apply'
 
-/- warning: linear_map.mul_left_apply -> LinearMap.mulLeft_apply is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a b)
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-Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_apply LinearMap.mulLeft_applyₓ'. -/
 @[simp]
 theorem mulLeft_apply (a b : A) : mulLeft R a b = a * b :=
   rfl
 #align linear_map.mul_left_apply LinearMap.mulLeft_apply
 
-/- warning: linear_map.mul_right_apply -> LinearMap.mulRight_apply is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_apply LinearMap.mulRight_applyₓ'. -/
 @[simp]
 theorem mulRight_apply (a b : A) : mulRight R a b = b * a :=
   rfl
 #align linear_map.mul_right_apply LinearMap.mulRight_apply
 
-/- warning: linear_map.mul_left_right_apply -> LinearMap.mulLeftRight_apply is a dubious translation:
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_inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A) (x : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeftRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Prod.mk.{u2, u2} A A a b)) x) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a x) b)
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-Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_right_apply LinearMap.mulLeftRight_applyₓ'. -/
 @[simp]
 theorem mulLeftRight_apply (a b x : A) : mulLeftRight R (a, b) x = a * x * b :=
   rfl
 #align linear_map.mul_left_right_apply LinearMap.mulLeftRight_apply
 
-/- warning: linear_map.mul'_apply -> LinearMap.mul'_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mul'_apply LinearMap.mul'_applyₓ'. -/
 @[simp]
 theorem mul'_apply {a b : A} : mul' R A (a ⊗ₜ b) = a * b :=
   rfl
 #align linear_map.mul'_apply LinearMap.mul'_apply
 
-/- warning: linear_map.mul_left_zero_eq_zero -> LinearMap.mulLeft_zero_eq_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_zero_eq_zero LinearMap.mulLeft_zero_eq_zeroₓ'. -/
 @[simp]
 theorem mulLeft_zero_eq_zero : mulLeft R (0 : A) = 0 :=
   (mul R A).map_zero
 #align linear_map.mul_left_zero_eq_zero LinearMap.mulLeft_zero_eq_zero
 
-/- warning: linear_map.mul_right_zero_eq_zero -> LinearMap.mulRight_zero_eq_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_zero_eq_zero LinearMap.mulRight_zero_eq_zeroₓ'. -/
 @[simp]
 theorem mulRight_zero_eq_zero : mulRight R (0 : A) = 0 :=
   (mul R A).flip.map_zero
@@ -182,9 +119,6 @@ section NonUnital
 variable (R A : Type _) [CommSemiring R] [NonUnitalSemiring A] [Module R A] [SMulCommClass R A A]
   [IsScalarTower R A A]
 
-/- warning: non_unital_alg_hom.lmul -> NonUnitalAlgHom.lmul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.lmul NonUnitalAlgHom.lmulₓ'. -/
 /-- The multiplication in a non-unital algebra is a bilinear map.
 
 A weaker version of this for non-unital non-associative algebras exists as `linear_map.mul`. -/
@@ -196,32 +130,20 @@ def NonUnitalAlgHom.lmul : A →ₙₐ[R] End R A :=
 
 variable {R A}
 
-/- warning: non_unital_alg_hom.coe_lmul_eq_mul -> NonUnitalAlgHom.coe_lmul_eq_mul is a dubious translation:
-<too large>
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 @[simp]
 theorem NonUnitalAlgHom.coe_lmul_eq_mul : ⇑(NonUnitalAlgHom.lmul R A) = mul R A :=
   rfl
 #align non_unital_alg_hom.coe_lmul_eq_mul NonUnitalAlgHom.coe_lmul_eq_mul
 
-/- warning: linear_map.commute_mul_left_right -> LinearMap.commute_mulLeft_right is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.commute_mul_left_right LinearMap.commute_mulLeft_rightₓ'. -/
 theorem commute_mulLeft_right (a b : A) : Commute (mulLeft R a) (mulRight R b) := by ext c;
   exact (mul_assoc a c b).symm
 #align linear_map.commute_mul_left_right LinearMap.commute_mulLeft_right
 
-/- warning: linear_map.mul_left_mul -> LinearMap.mulLeft_mul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_mul LinearMap.mulLeft_mulₓ'. -/
 @[simp]
 theorem mulLeft_mul (a b : A) : mulLeft R (a * b) = (mulLeft R a).comp (mulLeft R b) := by ext;
   simp only [mul_left_apply, comp_apply, mul_assoc]
 #align linear_map.mul_left_mul LinearMap.mulLeft_mul
 
-/- warning: linear_map.mul_right_mul -> LinearMap.mulRight_mul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_mul LinearMap.mulRight_mulₓ'. -/
 @[simp]
 theorem mulRight_mul (a b : A) : mulRight R (a * b) = (mulRight R b).comp (mulRight R a) := by ext;
   simp only [mul_right_apply, comp_apply, mul_assoc]
@@ -233,12 +155,6 @@ section Semiring
 
 variable (R A : Type _) [CommSemiring R] [Semiring A] [Algebra R A]
 
-/- warning: algebra.lmul -> Algebra.lmul is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align algebra.lmul Algebra.lmulₓ'. -/
 /-- The multiplication in an algebra is an algebra homomorphism into the endomorphisms on
 the algebra.
 
@@ -260,12 +176,6 @@ theorem Algebra.coe_lmul_eq_mul : ⇑(Algebra.lmul R A) = mul R A :=
 #align algebra.coe_lmul_eq_mul Algebra.coe_lmul_eq_mul
 -/
 
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 @[simp]
 theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 :=
   by
@@ -274,12 +184,6 @@ theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 :=
   · rw [h]; exact mul_left_zero_eq_zero
 #align linear_map.mul_left_eq_zero_iff LinearMap.mulLeft_eq_zero_iff
 
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 @[simp]
 theorem mulRight_eq_zero_iff (a : A) : mulRight R a = 0 ↔ a = 0 :=
   by
@@ -325,12 +229,6 @@ section Ring
 
 variable {R A : Type _} [CommSemiring R] [Ring A] [Algebra R A]
 
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-Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_injective LinearMap.mulLeft_injectiveₓ'. -/
 theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulLeft R x) :=
   by
@@ -339,12 +237,6 @@ theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
   exact mul_right_injective₀ hx
 #align linear_map.mul_left_injective LinearMap.mulLeft_injective
 
-/- warning: linear_map.mul_right_injective -> LinearMap.mulRight_injective is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_injective LinearMap.mulRight_injectiveₓ'. -/
 theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulRight R x) :=
   by
@@ -353,9 +245,6 @@ theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
   exact mul_left_injective₀ hx
 #align linear_map.mul_right_injective LinearMap.mulRight_injective
 
-/- warning: linear_map.mul_injective -> LinearMap.mul_injective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mul_injective LinearMap.mul_injectiveₓ'. -/
 theorem mul_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) : Function.Injective (mul R A x) :=
   by
   letI : Nontrivial A := ⟨⟨x, 0, hx⟩⟩

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

@@ -189,15 +189,9 @@ Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.lmu
 
 A weaker version of this for non-unital non-associative algebras exists as `linear_map.mul`. -/
 def NonUnitalAlgHom.lmul : A →ₙₐ[R] End R A :=
-  {
-    mul R A with
-    map_mul' := by
-      intro a b
-      ext c
-      exact mul_assoc a b c
-    map_zero' := by
-      ext a
-      exact MulZeroClass.zero_mul a }
+  { mul R A with
+    map_mul' := by intro a b; ext c; exact mul_assoc a b c
+    map_zero' := by ext a; exact MulZeroClass.zero_mul a }
 #align non_unital_alg_hom.lmul NonUnitalAlgHom.lmul
 
 variable {R A}
@@ -213,9 +207,7 @@ theorem NonUnitalAlgHom.coe_lmul_eq_mul : ⇑(NonUnitalAlgHom.lmul R A) = mul R
 /- warning: linear_map.commute_mul_left_right -> LinearMap.commute_mulLeft_right is a dubious translation:
 <too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.commute_mul_left_right LinearMap.commute_mulLeft_rightₓ'. -/
-theorem commute_mulLeft_right (a b : A) : Commute (mulLeft R a) (mulRight R b) :=
-  by
-  ext c
+theorem commute_mulLeft_right (a b : A) : Commute (mulLeft R a) (mulRight R b) := by ext c;
   exact (mul_assoc a c b).symm
 #align linear_map.commute_mul_left_right LinearMap.commute_mulLeft_right
 
@@ -223,9 +215,7 @@ theorem commute_mulLeft_right (a b : A) : Commute (mulLeft R a) (mulRight R b) :
 <too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_mul LinearMap.mulLeft_mulₓ'. -/
 @[simp]
-theorem mulLeft_mul (a b : A) : mulLeft R (a * b) = (mulLeft R a).comp (mulLeft R b) :=
-  by
-  ext
+theorem mulLeft_mul (a b : A) : mulLeft R (a * b) = (mulLeft R a).comp (mulLeft R b) := by ext;
   simp only [mul_left_apply, comp_apply, mul_assoc]
 #align linear_map.mul_left_mul LinearMap.mulLeft_mul
 
@@ -233,9 +223,7 @@ theorem mulLeft_mul (a b : A) : mulLeft R (a * b) = (mulLeft R a).comp (mulLeft
 <too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_mul LinearMap.mulRight_mulₓ'. -/
 @[simp]
-theorem mulRight_mul (a b : A) : mulRight R (a * b) = (mulRight R b).comp (mulRight R a) :=
-  by
-  ext
+theorem mulRight_mul (a b : A) : mulRight R (a * b) = (mulRight R b).comp (mulRight R a) := by ext;
   simp only [mul_right_apply, comp_apply, mul_assoc]
 #align linear_map.mul_right_mul LinearMap.mulRight_mul
 
@@ -256,23 +244,11 @@ the algebra.
 
 A weaker version of this for non-unital algebras exists as `non_unital_alg_hom.mul`. -/
 def Algebra.lmul : A →ₐ[R] End R A :=
-  {
-    LinearMap.mul R
-      A with
-    map_one' := by
-      ext a
-      exact one_mul a
-    map_mul' := by
-      intro a b
-      ext c
-      exact mul_assoc a b c
-    map_zero' := by
-      ext a
-      exact MulZeroClass.zero_mul a
-    commutes' := by
-      intro r
-      ext a
-      exact (Algebra.smul_def r a).symm }
+  { LinearMap.mul R A with
+    map_one' := by ext a; exact one_mul a
+    map_mul' := by intro a b; ext c; exact mul_assoc a b c
+    map_zero' := by ext a; exact MulZeroClass.zero_mul a
+    commutes' := by intro r; ext a; exact (Algebra.smul_def r a).symm }
 #align algebra.lmul Algebra.lmul
 
 variable {R A}
@@ -295,8 +271,7 @@ theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 :=
   by
   constructor <;> intro h
   · rw [← mul_one a, ← mul_left_apply a 1, h, LinearMap.zero_apply]
-  · rw [h]
-    exact mul_left_zero_eq_zero
+  · rw [h]; exact mul_left_zero_eq_zero
 #align linear_map.mul_left_eq_zero_iff LinearMap.mulLeft_eq_zero_iff
 
 /- warning: linear_map.mul_right_eq_zero_iff -> LinearMap.mulRight_eq_zero_iff is a dubious translation:
@@ -310,24 +285,19 @@ theorem mulRight_eq_zero_iff (a : A) : mulRight R a = 0 ↔ a = 0 :=
   by
   constructor <;> intro h
   · rw [← one_mul a, ← mul_right_apply a 1, h, LinearMap.zero_apply]
-  · rw [h]
-    exact mul_right_zero_eq_zero
+  · rw [h]; exact mul_right_zero_eq_zero
 #align linear_map.mul_right_eq_zero_iff LinearMap.mulRight_eq_zero_iff
 
 #print LinearMap.mulLeft_one /-
 @[simp]
-theorem mulLeft_one : mulLeft R (1 : A) = LinearMap.id :=
-  by
-  ext
+theorem mulLeft_one : mulLeft R (1 : A) = LinearMap.id := by ext;
   simp only [LinearMap.id_coe, one_mul, id.def, mul_left_apply]
 #align linear_map.mul_left_one LinearMap.mulLeft_one
 -/
 
 #print LinearMap.mulRight_one /-
 @[simp]
-theorem mulRight_one : mulRight R (1 : A) = LinearMap.id :=
-  by
-  ext
+theorem mulRight_one : mulRight R (1 : A) = LinearMap.id := by ext;
   simp only [LinearMap.id_coe, mul_one, id.def, mul_right_apply]
 #align linear_map.mul_right_one LinearMap.mulRight_one
 -/

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

@@ -37,10 +37,7 @@ variable (R A : Type _) [CommSemiring R] [NonUnitalNonAssocSemiring A] [Module R
   [SMulCommClass R A A] [IsScalarTower R A A]
 
 /- warning: linear_map.mul -> LinearMap.mul is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))
-but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mul LinearMap.mulₓ'. -/
 /-- The multiplication in a non-unital non-associative algebra is a bilinear map.
 
@@ -96,10 +93,7 @@ def mulLeftRight (ab : A × A) : A →ₗ[R] A :=
 #align linear_map.mul_left_right LinearMap.mulLeftRight
 
 /- warning: linear_map.mul_left_to_add_monoid_hom -> LinearMap.mulLeft_toAddMonoidHom is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A), Eq.{succ u2} (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (HasLiftT.mk.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (CoeTCₓ.coe.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (AddMonoidHom.hasCoeT.{u2, u2, u2} A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (SemilinearMapClass.addMonoidHomClass.{u1, u1, u2, u2, u2} R R A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (AddMonoidHom.mulLeft.{u2} A _inst_2 a)
-but is expected to have type
-  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A), Eq.{succ u2} (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (AddMonoidHomClass.toAddMonoidHom.{u2, u2, u2} A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulActionHomClass.toAddMonoidHomClass.{u2, u1, u2, u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) R A A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u2, u2} R A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (LinearMap.semilinearMapClass.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (AddMonoidHom.mulLeft.{u2} A _inst_2 a)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_to_add_monoid_hom LinearMap.mulLeft_toAddMonoidHomₓ'. -/
 @[simp]
 theorem mulLeft_toAddMonoidHom (a : A) : (mulLeft R a : A →+ A) = AddMonoidHom.mulLeft a :=
@@ -107,10 +101,7 @@ theorem mulLeft_toAddMonoidHom (a : A) : (mulLeft R a : A →+ A) = AddMonoidHom
 #align linear_map.mul_left_to_add_monoid_hom LinearMap.mulLeft_toAddMonoidHom
 
 /- warning: linear_map.mul_right_to_add_monoid_hom -> LinearMap.mulRight_toAddMonoidHom is a dubious translation:
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_inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R 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HasLiftT.{succ u2, succ u2} a b] => self.0) (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (HasLiftT.mk.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (CoeTCₓ.coe.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (AddMonoidHom.hasCoeT.{u2, u2, u2} A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (SemilinearMapClass.addMonoidHomClass.{u1, u1, u2, u2, u2} R R A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (AddMonoidHom.mulRight.{u2} A _inst_2 a)
-but is expected to have type
-  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A), Eq.{succ u2} (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (AddMonoidHomClass.toAddMonoidHom.{u2, u2, u2} A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulActionHomClass.toAddMonoidHomClass.{u2, u1, u2, u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) R A A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u2, u2} R A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (LinearMap.semilinearMapClass.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (AddMonoidHom.mulRight.{u2} A _inst_2 a)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_to_add_monoid_hom LinearMap.mulRight_toAddMonoidHomₓ'. -/
 @[simp]
 theorem mulRight_toAddMonoidHom (a : A) : (mulRight R a : A →+ A) = AddMonoidHom.mulRight a :=
@@ -120,10 +111,7 @@ theorem mulRight_toAddMonoidHom (a : A) : (mulRight R a : A →+ A) = AddMonoidH
 variable {R}
 
 /- warning: linear_map.mul_apply' -> LinearMap.mul_apply' is a dubious translation:
-lean 3 declaration is
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_inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R 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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_apply' LinearMap.mul_apply'ₓ'. -/
 @[simp]
 theorem mul_apply' (a b : A) : mul R A a b = a * b :=
@@ -164,10 +152,7 @@ theorem mulLeftRight_apply (a b x : A) : mulLeftRight R (a, b) x = a * x * b :=
 #align linear_map.mul_left_right_apply LinearMap.mulLeftRight_apply
 
 /- warning: linear_map.mul'_apply -> LinearMap.mul'_apply is a dubious translation:
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_inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] {a : A} {b : A}, Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.module.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.module.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3) => (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.module.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul'.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a b)
-but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] {a : A} {b : A}, Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.instModuleTensorProductToSemiringAddCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.instModuleTensorProductToSemiringAddCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul'.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mul'_apply LinearMap.mul'_applyₓ'. -/
 @[simp]
 theorem mul'_apply {a b : A} : mul' R A (a ⊗ₜ b) = a * b :=
@@ -175,10 +160,7 @@ theorem mul'_apply {a b : A} : mul' R A (a ⊗ₜ b) = a * b :=
 #align linear_map.mul'_apply LinearMap.mul'_apply
 
 /- warning: linear_map.mul_left_zero_eq_zero -> LinearMap.mulLeft_zero_eq_zero is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (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.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) 0 (OfNat.mk.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) 0 (Zero.zero.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (LinearMap.hasZero.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_zero_eq_zero LinearMap.mulLeft_zero_eq_zeroₓ'. -/
 @[simp]
 theorem mulLeft_zero_eq_zero : mulLeft R (0 : A) = 0 :=
@@ -186,10 +168,7 @@ theorem mulLeft_zero_eq_zero : mulLeft R (0 : A) = 0 :=
 #align linear_map.mul_left_zero_eq_zero LinearMap.mulLeft_zero_eq_zero
 
 /- warning: linear_map.mul_right_zero_eq_zero -> LinearMap.mulRight_zero_eq_zero is a dubious translation:
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_inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (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.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) 0 (OfNat.mk.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) 0 (Zero.zero.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (LinearMap.hasZero.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))
-but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))) (OfNat.ofNat.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) 0 (Zero.toOfNat0.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (LinearMap.instZeroLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_zero_eq_zero LinearMap.mulRight_zero_eq_zeroₓ'. -/
 @[simp]
 theorem mulRight_zero_eq_zero : mulRight R (0 : A) = 0 :=
@@ -204,10 +183,7 @@ variable (R A : Type _) [CommSemiring R] [NonUnitalSemiring A] [Module R A] [SMu
   [IsScalarTower R A A]
 
 /- warning: non_unital_alg_hom.lmul -> NonUnitalAlgHom.lmul is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))
-but is expected to have type
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.lmul NonUnitalAlgHom.lmulₓ'. -/
 /-- The multiplication in a non-unital algebra is a bilinear map.
 
@@ -227,10 +203,7 @@ def NonUnitalAlgHom.lmul : A →ₙₐ[R] End R A :=
 variable {R A}
 
 /- warning: non_unital_alg_hom.coe_lmul_eq_mul -> NonUnitalAlgHom.coe_lmul_eq_mul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], Eq.{succ u2} (A -> (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)) (coeFn.{succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R 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_inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) (fun (_x : NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A 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u2} R A _inst_1 _inst_2 _inst_3))) => A -> (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) (NonUnitalAlgHom.lmul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3)) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5))
-but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], Eq.{succ u2} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) ᾰ) (FunLike.coe.{succ u2, succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) (NonUnitalAlgHom.lmul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5))
+<too large>
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_lmul_eq_mul NonUnitalAlgHom.coe_lmul_eq_mulₓ'. -/
 @[simp]
 theorem NonUnitalAlgHom.coe_lmul_eq_mul : ⇑(NonUnitalAlgHom.lmul R A) = mul R A :=
@@ -238,10 +211,7 @@ theorem NonUnitalAlgHom.coe_lmul_eq_mul : ⇑(NonUnitalAlgHom.lmul R A) = mul R
 #align non_unital_alg_hom.coe_lmul_eq_mul NonUnitalAlgHom.coe_lmul_eq_mul
 
 /- warning: linear_map.commute_mul_left_right -> LinearMap.commute_mulLeft_right is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))] (a : A) (b : A), Commute.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (LinearMap.module.End.hasMul.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 a) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 b)
-but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))] (a : A) (b : A), Commute.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (LinearMap.instMulEnd.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 a) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 b)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.commute_mul_left_right LinearMap.commute_mulLeft_rightₓ'. -/
 theorem commute_mulLeft_right (a b : A) : Commute (mulLeft R a) (mulRight R b) :=
   by
@@ -250,10 +220,7 @@ theorem commute_mulLeft_right (a b : A) : Commute (mulLeft R a) (mulRight R b) :
 #align linear_map.commute_mul_left_right LinearMap.commute_mulLeft_right
 
 /- warning: linear_map.mul_left_mul -> LinearMap.mulLeft_mul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))] (a : A) (b : A), Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) a b)) (LinearMap.comp.{u1, u1, u1, u2, u2, u2} R R R A A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomCompTriple.right_ids.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 a) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 b))
-but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))] (a : A) (b : A), Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) a b)) (LinearMap.comp.{u1, u1, u1, u2, u2, u2} R R R A A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomCompTriple.ids.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 a) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 b))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_mul LinearMap.mulLeft_mulₓ'. -/
 @[simp]
 theorem mulLeft_mul (a b : A) : mulLeft R (a * b) = (mulLeft R a).comp (mulLeft R b) :=
@@ -263,10 +230,7 @@ theorem mulLeft_mul (a b : A) : mulLeft R (a * b) = (mulLeft R a).comp (mulLeft
 #align linear_map.mul_left_mul LinearMap.mulLeft_mul
 
 /- warning: linear_map.mul_right_mul -> LinearMap.mulRight_mul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A 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(LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) a b)) (LinearMap.comp.{u1, u1, u1, u2, u2, u2} R R R A A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A 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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_mul LinearMap.mulRight_mulₓ'. -/
 @[simp]
 theorem mulRight_mul (a b : A) : mulRight R (a * b) = (mulRight R b).comp (mulRight R a) :=
@@ -420,10 +384,7 @@ theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
 #align linear_map.mul_right_injective LinearMap.mulRight_injective
 
 /- warning: linear_map.mul_injective -> LinearMap.mul_injective is a dubious translation:
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(NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
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(CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_injective LinearMap.mul_injectiveₓ'. -/
 theorem mul_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) : Function.Injective (mul R A x) :=
   by

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

@@ -123,7 +123,7 @@ variable {R}
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3)) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a b)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) a) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) a) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_apply' LinearMap.mul_apply'ₓ'. -/
 @[simp]
 theorem mul_apply' (a b : A) : mul R A a b = a * b :=
@@ -134,7 +134,7 @@ theorem mul_apply' (a b : A) : mul R A a b = a * b :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a b)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_apply LinearMap.mulLeft_applyₓ'. -/
 @[simp]
 theorem mulLeft_apply (a b : A) : mulLeft R a b = a * b :=
@@ -145,7 +145,7 @@ theorem mulLeft_apply (a b : A) : mulLeft R a b = a * b :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) b a)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) b a)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) b a)
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_apply LinearMap.mulRight_applyₓ'. -/
 @[simp]
 theorem mulRight_apply (a b : A) : mulRight R a b = b * a :=
@@ -156,7 +156,7 @@ theorem mulRight_apply (a b : A) : mulRight R a b = b * a :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A) (x : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeftRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Prod.mk.{u2, u2} A A a b)) x) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a x) b)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A) (x : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeftRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Prod.mk.{u2, u2} A A a b)) x) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a x) b)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A) (x : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => A) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeftRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Prod.mk.{u2, u2} A A a b)) x) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a x) b)
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_right_apply LinearMap.mulLeftRight_applyₓ'. -/
 @[simp]
 theorem mulLeftRight_apply (a b x : A) : mulLeftRight R (a, b) x = a * x * b :=
@@ -167,7 +167,7 @@ theorem mulLeftRight_apply (a b x : A) : mulLeftRight R (a, b) x = a * x * b :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] {a : A} {b : A}, Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.module.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.module.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3) => (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.module.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul'.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a b)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] {a : A} {b : A}, Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.instModuleTensorProductToSemiringAddCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.instModuleTensorProductToSemiringAddCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul'.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] {a : A} {b : A}, Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.instModuleTensorProductToSemiringAddCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.instModuleTensorProductToSemiringAddCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul'.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
 Case conversion may be inaccurate. Consider using '#align linear_map.mul'_apply LinearMap.mul'_applyₓ'. -/
 @[simp]
 theorem mul'_apply {a b : A} : mul' R A (a ⊗ₜ b) = a * b :=
@@ -230,7 +230,7 @@ variable {R A}
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], Eq.{succ u2} (A -> (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)) (coeFn.{succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) (fun (_x : NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) => A -> (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) (NonUnitalAlgHom.lmul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3)) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], Eq.{succ u2} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) ᾰ) (FunLike.coe.{succ u2, succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) (NonUnitalAlgHom.lmul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], Eq.{succ u2} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) ᾰ) (FunLike.coe.{succ u2, succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) (NonUnitalAlgHom.lmul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_lmul_eq_mul NonUnitalAlgHom.coe_lmul_eq_mulₓ'. -/
 @[simp]
 theorem NonUnitalAlgHom.coe_lmul_eq_mul : ⇑(NonUnitalAlgHom.lmul R A) = mul R A :=
@@ -395,7 +395,7 @@ variable {R A : Type _} [CommSemiring R] [Ring A] [Algebra R A]
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_injective LinearMap.mulLeft_injectiveₓ'. -/
 theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulLeft R x) :=
@@ -409,7 +409,7 @@ theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_injective LinearMap.mulRight_injectiveₓ'. -/
 theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulRight R x) :=
@@ -423,7 +423,7 @@ theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_injective LinearMap.mul_injectiveₓ'. -/
 theorem mul_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) : Function.Injective (mul R A x) :=
   by

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

@@ -99,7 +99,7 @@ def mulLeftRight (ab : A × A) : A →ₗ[R] A :=
 lean 3 declaration is
   forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A), Eq.{succ u2} (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (HasLiftT.mk.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (CoeTCₓ.coe.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (AddMonoidHom.hasCoeT.{u2, u2, u2} A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (SemilinearMapClass.addMonoidHomClass.{u1, u1, u2, u2, u2} R R A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (AddMonoidHom.mulLeft.{u2} A _inst_2 a)
 but is expected to have type
-  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A), Eq.{succ u2} (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (AddMonoidHomClass.toAddMonoidHom.{u2, u2, u2} A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulActionHomClass.toAddMonoidHomClass.{u2, u1, u2, u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) R A A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u2, u2} R A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (AddMonoidHom.mulLeft.{u2} A _inst_2 a)
+  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A), Eq.{succ u2} (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (AddMonoidHomClass.toAddMonoidHom.{u2, u2, u2} A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulActionHomClass.toAddMonoidHomClass.{u2, u1, u2, u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) R A A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u2, u2} R A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (LinearMap.semilinearMapClass.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (AddMonoidHom.mulLeft.{u2} A _inst_2 a)
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_to_add_monoid_hom LinearMap.mulLeft_toAddMonoidHomₓ'. -/
 @[simp]
 theorem mulLeft_toAddMonoidHom (a : A) : (mulLeft R a : A →+ A) = AddMonoidHom.mulLeft a :=
@@ -110,7 +110,7 @@ theorem mulLeft_toAddMonoidHom (a : A) : (mulLeft R a : A →+ A) = AddMonoidHom
 lean 3 declaration is
   forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A), Eq.{succ u2} (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (HasLiftT.mk.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (CoeTCₓ.coe.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (AddMonoidHom.hasCoeT.{u2, u2, u2} A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (SemilinearMapClass.addMonoidHomClass.{u1, u1, u2, u2, u2} R R A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (AddMonoidHom.mulRight.{u2} A _inst_2 a)
 but is expected to have type
-  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A), Eq.{succ u2} (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (AddMonoidHomClass.toAddMonoidHom.{u2, u2, u2} A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulActionHomClass.toAddMonoidHomClass.{u2, u1, u2, u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) R A A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u2, u2} R A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (AddMonoidHom.mulRight.{u2} A _inst_2 a)
+  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A), Eq.{succ u2} (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (AddMonoidHomClass.toAddMonoidHom.{u2, u2, u2} A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulActionHomClass.toAddMonoidHomClass.{u2, u1, u2, u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) R A A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u2, u2} R A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (LinearMap.semilinearMapClass.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (AddMonoidHom.mulRight.{u2} A _inst_2 a)
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_to_add_monoid_hom LinearMap.mulRight_toAddMonoidHomₓ'. -/
 @[simp]
 theorem mulRight_toAddMonoidHom (a : A) : (mulRight R a : A →+ A) = AddMonoidHom.mulRight a :=
@@ -123,7 +123,7 @@ variable {R}
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3)) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a b)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) a) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) a) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_apply' LinearMap.mul_apply'ₓ'. -/
 @[simp]
 theorem mul_apply' (a b : A) : mul R A a b = a * b :=
@@ -134,7 +134,7 @@ theorem mul_apply' (a b : A) : mul R A a b = a * b :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a b)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_apply LinearMap.mulLeft_applyₓ'. -/
 @[simp]
 theorem mulLeft_apply (a b : A) : mulLeft R a b = a * b :=
@@ -145,7 +145,7 @@ theorem mulLeft_apply (a b : A) : mulLeft R a b = a * b :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) b a)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) b a)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) b a)
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_apply LinearMap.mulRight_applyₓ'. -/
 @[simp]
 theorem mulRight_apply (a b : A) : mulRight R a b = b * a :=
@@ -156,7 +156,7 @@ theorem mulRight_apply (a b : A) : mulRight R a b = b * a :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A) (x : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeftRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Prod.mk.{u2, u2} A A a b)) x) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a x) b)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A) (x : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeftRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Prod.mk.{u2, u2} A A a b)) x) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a x) b)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A) (x : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeftRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Prod.mk.{u2, u2} A A a b)) x) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a x) b)
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_right_apply LinearMap.mulLeftRight_applyₓ'. -/
 @[simp]
 theorem mulLeftRight_apply (a b x : A) : mulLeftRight R (a, b) x = a * x * b :=
@@ -167,7 +167,7 @@ theorem mulLeftRight_apply (a b x : A) : mulLeftRight R (a, b) x = a * x * b :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] {a : A} {b : A}, Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.module.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.module.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3) => (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.module.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul'.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a b)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] {a : A} {b : A}, Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.instModuleTensorProductToSemiringAddCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.instModuleTensorProductToSemiringAddCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul'.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] {a : A} {b : A}, Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.instModuleTensorProductToSemiringAddCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.instModuleTensorProductToSemiringAddCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul'.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
 Case conversion may be inaccurate. Consider using '#align linear_map.mul'_apply LinearMap.mul'_applyₓ'. -/
 @[simp]
 theorem mul'_apply {a b : A} : mul' R A (a ⊗ₜ b) = a * b :=
@@ -230,7 +230,7 @@ variable {R A}
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], Eq.{succ u2} (A -> (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)) (coeFn.{succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) (fun (_x : NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) => A -> (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) (NonUnitalAlgHom.lmul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3)) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], Eq.{succ u2} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) ᾰ) (FunLike.coe.{succ u2, succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) (NonUnitalAlgHom.lmul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], Eq.{succ u2} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) ᾰ) (FunLike.coe.{succ u2, succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) (NonUnitalAlgHom.lmul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_lmul_eq_mul NonUnitalAlgHom.coe_lmul_eq_mulₓ'. -/
 @[simp]
 theorem NonUnitalAlgHom.coe_lmul_eq_mul : ⇑(NonUnitalAlgHom.lmul R A) = mul R A :=
@@ -395,7 +395,7 @@ variable {R A : Type _} [CommSemiring R] [Ring A] [Algebra R A]
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_injective LinearMap.mulLeft_injectiveₓ'. -/
 theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulLeft R x) :=
@@ -409,7 +409,7 @@ theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_injective LinearMap.mulRight_injectiveₓ'. -/
 theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulRight R x) :=
@@ -423,7 +423,7 @@ theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_injective LinearMap.mul_injectiveₓ'. -/
 theorem mul_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) : Function.Injective (mul R A x) :=
   by

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

@@ -395,7 +395,7 @@ variable {R A : Type _} [CommSemiring R] [Ring A] [Algebra R A]
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_injective LinearMap.mulLeft_injectiveₓ'. -/
 theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulLeft R x) :=
@@ -409,7 +409,7 @@ theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_injective LinearMap.mulRight_injectiveₓ'. -/
 theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulRight R x) :=
@@ -423,7 +423,7 @@ theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) x) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_injective LinearMap.mul_injectiveₓ'. -/
 theorem mul_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) : Function.Injective (mul R A x) :=
   by

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

@@ -320,7 +320,12 @@ theorem Algebra.coe_lmul_eq_mul : ⇑(Algebra.lmul R A) = mul R A :=
 #align algebra.coe_lmul_eq_mul Algebra.coe_lmul_eq_mul
 -/
 
-#print LinearMap.mulLeft_eq_zero_iff /-
+/- warning: linear_map.mul_left_eq_zero_iff -> LinearMap.mulLeft_eq_zero_iff is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (a : A), Iff (Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3) a) (OfNat.ofNat.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (OfNat.mk.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (Zero.zero.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.hasZero.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (Eq.{succ u2} A a (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))))))
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (a : A), Iff (Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3) a) (OfNat.ofNat.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (Zero.toOfNat0.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.instZeroLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Eq.{succ u2} A a (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))))
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_eq_zero_iff LinearMap.mulLeft_eq_zero_iffₓ'. -/
 @[simp]
 theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 :=
   by
@@ -329,9 +334,13 @@ theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 :=
   · rw [h]
     exact mul_left_zero_eq_zero
 #align linear_map.mul_left_eq_zero_iff LinearMap.mulLeft_eq_zero_iff
--/
 
-#print LinearMap.mulRight_eq_zero_iff /-
+/- warning: linear_map.mul_right_eq_zero_iff -> LinearMap.mulRight_eq_zero_iff is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (a : A), Iff (Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3) a) (OfNat.ofNat.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (OfNat.mk.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (Zero.zero.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.hasZero.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (Eq.{succ u2} A a (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))))))
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (a : A), Iff (Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3) a) (OfNat.ofNat.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (Zero.toOfNat0.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.instZeroLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Eq.{succ u2} A a (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))))
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_eq_zero_iff LinearMap.mulRight_eq_zero_iffₓ'. -/
 @[simp]
 theorem mulRight_eq_zero_iff (a : A) : mulRight R a = 0 ↔ a = 0 :=
   by
@@ -340,7 +349,6 @@ theorem mulRight_eq_zero_iff (a : A) : mulRight R a = 0 ↔ a = 0 :=
   · rw [h]
     exact mul_right_zero_eq_zero
 #align linear_map.mul_right_eq_zero_iff LinearMap.mulRight_eq_zero_iff
--/
 
 #print LinearMap.mulLeft_one /-
 @[simp]
@@ -385,9 +393,9 @@ variable {R A : Type _} [CommSemiring R] [Ring A] [Algebra R A]
 
 /- warning: linear_map.mul_left_injective -> LinearMap.mulLeft_injective is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_sMulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_injective LinearMap.mulLeft_injectiveₓ'. -/
 theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulLeft R x) :=
@@ -399,9 +407,9 @@ theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
 
 /- warning: linear_map.mul_right_injective -> LinearMap.mulRight_injective is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_sMulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_injective LinearMap.mulRight_injectiveₓ'. -/
 theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulRight R x) :=
@@ -413,9 +421,9 @@ theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
 
 /- warning: linear_map.mul_injective -> LinearMap.mul_injective is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_sMulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_smulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) x) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) x) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) 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 Case conversion may be inaccurate. Consider using '#align linear_map.mul_injective LinearMap.mul_injectiveₓ'. -/
 theorem mul_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) : Function.Injective (mul R A x) :=
   by

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

@@ -320,12 +320,7 @@ theorem Algebra.coe_lmul_eq_mul : ⇑(Algebra.lmul R A) = mul R A :=
 #align algebra.coe_lmul_eq_mul Algebra.coe_lmul_eq_mul
 -/
 
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-Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_eq_zero_iff LinearMap.mulLeft_eq_zero_iffₓ'. -/
+#print LinearMap.mulLeft_eq_zero_iff /-
 @[simp]
 theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 :=
   by
@@ -334,13 +329,9 @@ theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 :=
   · rw [h]
     exact mul_left_zero_eq_zero
 #align linear_map.mul_left_eq_zero_iff LinearMap.mulLeft_eq_zero_iff
+-/
 
-/- warning: linear_map.mul_right_eq_zero_iff -> LinearMap.mulRight_eq_zero_iff is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_eq_zero_iff LinearMap.mulRight_eq_zero_iffₓ'. -/
+#print LinearMap.mulRight_eq_zero_iff /-
 @[simp]
 theorem mulRight_eq_zero_iff (a : A) : mulRight R a = 0 ↔ a = 0 :=
   by
@@ -349,6 +340,7 @@ theorem mulRight_eq_zero_iff (a : A) : mulRight R a = 0 ↔ a = 0 :=
   · rw [h]
     exact mul_right_zero_eq_zero
 #align linear_map.mul_right_eq_zero_iff LinearMap.mulRight_eq_zero_iff
+-/
 
 #print LinearMap.mulLeft_one /-
 @[simp]
@@ -393,7 +385,7 @@ variable {R A : Type _} [CommSemiring R] [Ring A] [Algebra R A]
 
 /- warning: linear_map.mul_left_injective -> LinearMap.mulLeft_injective is a dubious translation:
 lean 3 declaration is
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+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_sMulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 but is expected to have type
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_injective LinearMap.mulLeft_injectiveₓ'. -/
@@ -407,7 +399,7 @@ theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
 
 /- warning: linear_map.mul_right_injective -> LinearMap.mulRight_injective is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (AddCommGroup.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toAddCommGroup.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Semiring.toModule.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_sMulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 but is expected to have type
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_injective LinearMap.mulRight_injectiveₓ'. -/
@@ -421,7 +413,7 @@ theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
 
 /- warning: linear_map.mul_injective -> LinearMap.mul_injective is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (AddCommGroup.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toAddCommGroup.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Semiring.toModule.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.to_sMulCommClass.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
 but is expected to have type
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) x) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_injective LinearMap.mul_injectiveₓ'. -/

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

@@ -203,16 +203,16 @@ section NonUnital
 variable (R A : Type _) [CommSemiring R] [NonUnitalSemiring A] [Module R A] [SMulCommClass R A A]
   [IsScalarTower R A A]
 
-/- warning: non_unital_alg_hom.lmul -> LinearMap.NonUnitalAlgHom.lmul is a dubious translation:
+/- warning: non_unital_alg_hom.lmul -> NonUnitalAlgHom.lmul is a dubious translation:
 lean 3 declaration is
-  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (LinearMap.NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))
 but is expected to have type
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))
-Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.lmul LinearMap.NonUnitalAlgHom.lmulₓ'. -/
+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.lmul NonUnitalAlgHom.lmulₓ'. -/
 /-- The multiplication in a non-unital algebra is a bilinear map.
 
 A weaker version of this for non-unital non-associative algebras exists as `linear_map.mul`. -/
-def LinearMap.NonUnitalAlgHom.lmul : A →ₙₐ[R] End R A :=
+def NonUnitalAlgHom.lmul : A →ₙₐ[R] End R A :=
   {
     mul R A with
     map_mul' := by
@@ -222,21 +222,20 @@ def LinearMap.NonUnitalAlgHom.lmul : A →ₙₐ[R] End R A :=
     map_zero' := by
       ext a
       exact MulZeroClass.zero_mul a }
-#align non_unital_alg_hom.lmul LinearMap.NonUnitalAlgHom.lmul
+#align non_unital_alg_hom.lmul NonUnitalAlgHom.lmul
 
 variable {R A}
 
-/- warning: non_unital_alg_hom.coe_lmul_eq_mul -> LinearMap.NonUnitalAlgHom.coe_lmul_eq_mul is a dubious translation:
+/- warning: non_unital_alg_hom.coe_lmul_eq_mul -> NonUnitalAlgHom.coe_lmul_eq_mul is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], Eq.{succ u2} (A -> (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)) (coeFn.{succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (LinearMap.NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) (fun (_x : NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (LinearMap.NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) => A -> (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (LinearMap.NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) (LinearMap.NonUnitalAlgHom.lmul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3)) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], Eq.{succ u2} (A -> (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)) (coeFn.{succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) (fun (_x : NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) => A -> (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) (NonUnitalAlgHom.lmul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3)) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], Eq.{succ u2} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) ᾰ) (FunLike.coe.{succ u2, succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) (LinearMap.NonUnitalAlgHom.lmul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5))
-Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_lmul_eq_mul LinearMap.NonUnitalAlgHom.coe_lmul_eq_mulₓ'. -/
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], Eq.{succ u2} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) ᾰ) (FunLike.coe.{succ u2, succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) (NonUnitalAlgHom.lmul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5))
+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_lmul_eq_mul NonUnitalAlgHom.coe_lmul_eq_mulₓ'. -/
 @[simp]
-theorem LinearMap.NonUnitalAlgHom.coe_lmul_eq_mul :
-    ⇑(LinearMap.NonUnitalAlgHom.lmul R A) = mul R A :=
+theorem NonUnitalAlgHom.coe_lmul_eq_mul : ⇑(NonUnitalAlgHom.lmul R A) = mul R A :=
   rfl
-#align non_unital_alg_hom.coe_lmul_eq_mul LinearMap.NonUnitalAlgHom.coe_lmul_eq_mul
+#align non_unital_alg_hom.coe_lmul_eq_mul NonUnitalAlgHom.coe_lmul_eq_mul
 
 /- warning: linear_map.commute_mul_left_right -> LinearMap.commute_mulLeft_right is a dubious translation:
 lean 3 declaration is
@@ -282,17 +281,17 @@ section Semiring
 
 variable (R A : Type _) [CommSemiring R] [Semiring A] [Algebra R A]
 
-/- warning: algebra.lmul -> LinearMap.Algebra.lmul is a dubious translation:
+/- warning: algebra.lmul -> Algebra.lmul is a dubious translation:
 lean 3 declaration is
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2], AlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) _inst_1 _inst_2 (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) _inst_3 (Module.End.algebra.{u1, u2} R A _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))
 but is expected to have type
   forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2], AlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) _inst_1 _inst_2 (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) _inst_3 (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R A _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))
-Case conversion may be inaccurate. Consider using '#align algebra.lmul LinearMap.Algebra.lmulₓ'. -/
+Case conversion may be inaccurate. Consider using '#align algebra.lmul Algebra.lmulₓ'. -/
 /-- The multiplication in an algebra is an algebra homomorphism into the endomorphisms on
 the algebra.
 
 A weaker version of this for non-unital algebras exists as `non_unital_alg_hom.mul`. -/
-def LinearMap.Algebra.lmul : A →ₐ[R] End R A :=
+def Algebra.lmul : A →ₐ[R] End R A :=
   {
     LinearMap.mul R
       A with
@@ -310,15 +309,15 @@ def LinearMap.Algebra.lmul : A →ₐ[R] End R A :=
       intro r
       ext a
       exact (Algebra.smul_def r a).symm }
-#align algebra.lmul LinearMap.Algebra.lmul
+#align algebra.lmul Algebra.lmul
 
 variable {R A}
 
-#print LinearMap.Algebra.coe_lmul_eq_mul /-
+#print Algebra.coe_lmul_eq_mul /-
 @[simp]
-theorem LinearMap.Algebra.coe_lmul_eq_mul : ⇑(LinearMap.Algebra.lmul R A) = mul R A :=
+theorem Algebra.coe_lmul_eq_mul : ⇑(Algebra.lmul R A) = mul R A :=
   rfl
-#align algebra.coe_lmul_eq_mul LinearMap.Algebra.coe_lmul_eq_mul
+#align algebra.coe_lmul_eq_mul Algebra.coe_lmul_eq_mul
 -/
 
 /- warning: linear_map.mul_left_eq_zero_iff -> LinearMap.mulLeft_eq_zero_iff is a dubious translation:
@@ -372,8 +371,7 @@ theorem mulRight_one : mulRight R (1 : A) = LinearMap.id :=
 #print LinearMap.pow_mulLeft /-
 @[simp]
 theorem pow_mulLeft (a : A) (n : ℕ) : mulLeft R a ^ n = mulLeft R (a ^ n) := by
-  simpa only [mul_left, ← LinearMap.Algebra.coe_lmul_eq_mul] using
-    ((LinearMap.Algebra.lmul R A).map_pow a n).symm
+  simpa only [mul_left, ← Algebra.coe_lmul_eq_mul] using ((Algebra.lmul R A).map_pow a n).symm
 #align linear_map.pow_mul_left LinearMap.pow_mulLeft
 -/
 
@@ -381,7 +379,7 @@ theorem pow_mulLeft (a : A) (n : ℕ) : mulLeft R a ^ n = mulLeft R (a ^ n) := b
 @[simp]
 theorem pow_mulRight (a : A) (n : ℕ) : mulRight R a ^ n = mulRight R (a ^ n) :=
   by
-  simp only [mul_right, ← LinearMap.Algebra.coe_lmul_eq_mul]
+  simp only [mul_right, ← Algebra.coe_lmul_eq_mul]
   exact
     LinearMap.coe_injective (((mul_right R a).val_pow_eq_pow_val n).symm ▸ mul_right_iterate a n)
 #align linear_map.pow_mul_right LinearMap.pow_mulRight

mathlib commit https://github.com/leanprover-community/mathlib/commit/730c6d4cab72b9d84fcfb9e95e8796e9cd8f40ba

@@ -95,27 +95,27 @@ def mulLeftRight (ab : A × A) : A →ₗ[R] A :=
   (mulRight R ab.snd).comp (mulLeft R ab.fst)
 #align linear_map.mul_left_right LinearMap.mulLeftRight
 
-/- warning: linear_map.mul_left_to_add_monoid_hom -> LinearMap.mulLeft_toAddMonoid_hom is a dubious translation:
+/- warning: linear_map.mul_left_to_add_monoid_hom -> LinearMap.mulLeft_toAddMonoidHom is a dubious translation:
 lean 3 declaration is
   forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A), Eq.{succ u2} (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (HasLiftT.mk.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (CoeTCₓ.coe.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (AddMonoidHom.hasCoeT.{u2, u2, u2} A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (SemilinearMapClass.addMonoidHomClass.{u1, u1, u2, u2, u2} R R A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (AddMonoidHom.mulLeft.{u2} A _inst_2 a)
 but is expected to have type
   forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A), Eq.{succ u2} (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (AddMonoidHomClass.toAddMonoidHom.{u2, u2, u2} A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulActionHomClass.toAddMonoidHomClass.{u2, u1, u2, u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) R A A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u2, u2} R A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (AddMonoidHom.mulLeft.{u2} A _inst_2 a)
-Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_to_add_monoid_hom LinearMap.mulLeft_toAddMonoid_homₓ'. -/
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_to_add_monoid_hom LinearMap.mulLeft_toAddMonoidHomₓ'. -/
 @[simp]
-theorem mulLeft_toAddMonoid_hom (a : A) : (mulLeft R a : A →+ A) = AddMonoidHom.mulLeft a :=
+theorem mulLeft_toAddMonoidHom (a : A) : (mulLeft R a : A →+ A) = AddMonoidHom.mulLeft a :=
   rfl
-#align linear_map.mul_left_to_add_monoid_hom LinearMap.mulLeft_toAddMonoid_hom
+#align linear_map.mul_left_to_add_monoid_hom LinearMap.mulLeft_toAddMonoidHom
 
-/- warning: linear_map.mul_right_to_add_monoid_hom -> LinearMap.mulRight_toAddMonoid_hom is a dubious translation:
+/- warning: linear_map.mul_right_to_add_monoid_hom -> LinearMap.mulRight_toAddMonoidHom is a dubious translation:
 lean 3 declaration is
   forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A), Eq.{succ u2} (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (HasLiftT.mk.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (CoeTCₓ.coe.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (AddMonoidHom.hasCoeT.{u2, u2, u2} A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (SemilinearMapClass.addMonoidHomClass.{u1, u1, u2, u2, u2} R R A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (AddMonoidHom.mulRight.{u2} A _inst_2 a)
 but is expected to have type
   forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A), Eq.{succ u2} (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (AddMonoidHomClass.toAddMonoidHom.{u2, u2, u2} A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulActionHomClass.toAddMonoidHomClass.{u2, u1, u2, u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) R A A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u2, u2} R A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (AddMonoidHom.mulRight.{u2} A _inst_2 a)
-Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_to_add_monoid_hom LinearMap.mulRight_toAddMonoid_homₓ'. -/
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_to_add_monoid_hom LinearMap.mulRight_toAddMonoidHomₓ'. -/
 @[simp]
-theorem mulRight_toAddMonoid_hom (a : A) : (mulRight R a : A →+ A) = AddMonoidHom.mulRight a :=
+theorem mulRight_toAddMonoidHom (a : A) : (mulRight R a : A →+ A) = AddMonoidHom.mulRight a :=
   rfl
-#align linear_map.mul_right_to_add_monoid_hom LinearMap.mulRight_toAddMonoid_hom
+#align linear_map.mul_right_to_add_monoid_hom LinearMap.mulRight_toAddMonoidHom
 
 variable {R}
 

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

@@ -123,7 +123,7 @@ variable {R}
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3)) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a b)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) a) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) a) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_apply' LinearMap.mul_apply'ₓ'. -/
 @[simp]
 theorem mul_apply' (a b : A) : mul R A a b = a * b :=
@@ -134,7 +134,7 @@ theorem mul_apply' (a b : A) : mul R A a b = a * b :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a b)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_apply LinearMap.mulLeft_applyₓ'. -/
 @[simp]
 theorem mulLeft_apply (a b : A) : mulLeft R a b = a * b :=
@@ -145,7 +145,7 @@ theorem mulLeft_apply (a b : A) : mulLeft R a b = a * b :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) b a)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) b a)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) b a)
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_apply LinearMap.mulRight_applyₓ'. -/
 @[simp]
 theorem mulRight_apply (a b : A) : mulRight R a b = b * a :=
@@ -156,7 +156,7 @@ theorem mulRight_apply (a b : A) : mulRight R a b = b * a :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A) (x : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeftRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Prod.mk.{u2, u2} A A a b)) x) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a x) b)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A) (x : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeftRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Prod.mk.{u2, u2} A A a b)) x) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a x) b)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A) (x : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeftRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Prod.mk.{u2, u2} A A a b)) x) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a x) b)
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_right_apply LinearMap.mulLeftRight_applyₓ'. -/
 @[simp]
 theorem mulLeftRight_apply (a b x : A) : mulLeftRight R (a, b) x = a * x * b :=
@@ -167,7 +167,7 @@ theorem mulLeftRight_apply (a b x : A) : mulLeftRight R (a, b) x = a * x * b :=
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] {a : A} {b : A}, Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.module.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.module.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3) => (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.module.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul'.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a b)
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] {a : A} {b : A}, Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.instModuleTensorProductToSemiringAddCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.instModuleTensorProductToSemiringAddCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul'.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] {a : A} {b : A}, Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.instModuleTensorProductToSemiringAddCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.instModuleTensorProductToSemiringAddCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul'.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
 Case conversion may be inaccurate. Consider using '#align linear_map.mul'_apply LinearMap.mul'_applyₓ'. -/
 @[simp]
 theorem mul'_apply {a b : A} : mul' R A (a ⊗ₜ b) = a * b :=
@@ -230,7 +230,7 @@ variable {R A}
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], Eq.{succ u2} (A -> (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)) (coeFn.{succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (LinearMap.NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) (fun (_x : NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (LinearMap.NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) => A -> (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (LinearMap.NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) (LinearMap.NonUnitalAlgHom.lmul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3)) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], Eq.{succ u2} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) ᾰ) (FunLike.coe.{succ u2, succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) (LinearMap.NonUnitalAlgHom.lmul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], Eq.{succ u2} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) ᾰ) (FunLike.coe.{succ u2, succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1412 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) (LinearMap.NonUnitalAlgHom.lmul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5))
 Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_lmul_eq_mul LinearMap.NonUnitalAlgHom.coe_lmul_eq_mulₓ'. -/
 @[simp]
 theorem LinearMap.NonUnitalAlgHom.coe_lmul_eq_mul :
@@ -397,7 +397,7 @@ variable {R A : Type _} [CommSemiring R] [Ring A] [Algebra R A]
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (AddCommGroup.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toAddCommGroup.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Semiring.toModule.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_injective LinearMap.mulLeft_injectiveₓ'. -/
 theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulLeft R x) :=
@@ -411,7 +411,7 @@ theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (AddCommGroup.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toAddCommGroup.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Semiring.toModule.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_injective LinearMap.mulRight_injectiveₓ'. -/
 theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulRight R x) :=
@@ -425,7 +425,7 @@ theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
 lean 3 declaration is
   forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (AddCommGroup.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toAddCommGroup.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Semiring.toModule.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) x) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) x) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A 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(LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_injective LinearMap.mul_injectiveₓ'. -/
 theorem mul_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) : Function.Injective (mul R A x) :=
   by

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

@@ -221,7 +221,7 @@ def LinearMap.NonUnitalAlgHom.lmul : A →ₙₐ[R] End R A :=
       exact mul_assoc a b c
     map_zero' := by
       ext a
-      exact zero_mul a }
+      exact MulZeroClass.zero_mul a }
 #align non_unital_alg_hom.lmul LinearMap.NonUnitalAlgHom.lmul
 
 variable {R A}
@@ -305,7 +305,7 @@ def LinearMap.Algebra.lmul : A →ₐ[R] End R A :=
       exact mul_assoc a b c
     map_zero' := by
       ext a
-      exact zero_mul a
+      exact MulZeroClass.zero_mul a
     commutes' := by
       intro r
       ext a

mathlib commit https://github.com/leanprover-community/mathlib/commit/62e8311c791f02c47451bf14aa2501048e7c2f33

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
 
 ! This file was ported from Lean 3 source module algebra.algebra.bilinear
-! leanprover-community/mathlib commit 657df4339ae6ceada048c8a2980fb10e393143ec
+! leanprover-community/mathlib commit 832f7b9162039c28b9361289c8681f155cae758f
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.LinearAlgebra.TensorProduct
 /-!
 # Facts about algebras involving bilinear maps and tensor products
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We move a few basic statements about algebras out of `algebra.algebra.basic`,
 in order to avoid importing `linear_algebra.bilinear_map` and
 `linear_algebra.tensor_product` unnecessarily.

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

@@ -320,9 +320,9 @@ theorem LinearMap.Algebra.coe_lmul_eq_mul : ⇑(LinearMap.Algebra.lmul R A) = mu
 
 /- warning: linear_map.mul_left_eq_zero_iff -> LinearMap.mulLeft_eq_zero_iff is a dubious translation:
 lean 3 declaration is
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+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (a : A), Iff (Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A _inst_2 _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Semiring.toModule.{u2} A _inst_2) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3) a) (OfNat.ofNat.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (OfNat.mk.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (Zero.zero.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.hasZero.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (Eq.{succ u2} A a (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (a : A), Iff (Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A _inst_2 _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Semiring.toModule.{u2} A _inst_2) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3) a) (OfNat.ofNat.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (Zero.toOfNat0.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.instZeroLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Eq.{succ u2} A a (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (a : A), Iff (Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A _inst_2 _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Semiring.toModule.{u2} A _inst_2) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3) a) (OfNat.ofNat.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (Zero.toOfNat0.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.instZeroLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Eq.{succ u2} A a (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_eq_zero_iff LinearMap.mulLeft_eq_zero_iffₓ'. -/
 @[simp]
 theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 :=
@@ -335,9 +335,9 @@ theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 :=
 
 /- warning: linear_map.mul_right_eq_zero_iff -> LinearMap.mulRight_eq_zero_iff is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (a : A), Iff (Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A _inst_2 _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Semiring.toModule.{u2} A _inst_2) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3) a) (OfNat.ofNat.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (OfNat.mk.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (Zero.zero.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.hasZero.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (Eq.{succ u2} A a (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))))))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (a : A), Iff (Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A _inst_2 _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Semiring.toModule.{u2} A _inst_2) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3) a) (OfNat.ofNat.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (OfNat.mk.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (Zero.zero.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.hasZero.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (Eq.{succ u2} A a (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))))))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (a : A), Iff (Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A _inst_2 _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Semiring.toModule.{u2} A _inst_2) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3) a) (OfNat.ofNat.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (Zero.toOfNat0.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.instZeroLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Eq.{succ u2} A a (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (a : A), Iff (Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A _inst_2 _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Semiring.toModule.{u2} A _inst_2) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3) a) (OfNat.ofNat.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (Zero.toOfNat0.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.instZeroLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Eq.{succ u2} A a (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_eq_zero_iff LinearMap.mulRight_eq_zero_iffₓ'. -/
 @[simp]
 theorem mulRight_eq_zero_iff (a : A) : mulRight R a = 0 ↔ a = 0 :=
@@ -392,9 +392,9 @@ variable {R A : Type _} [CommSemiring R] [Ring A] [Algebra R A]
 
 /- warning: linear_map.mul_left_injective -> LinearMap.mulLeft_injective is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (AddCommGroup.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toAddCommGroup.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Semiring.toModule.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (AddCommGroup.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toAddCommGroup.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Semiring.toModule.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_injective LinearMap.mulLeft_injectiveₓ'. -/
 theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulLeft R x) :=
@@ -406,9 +406,9 @@ theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
 
 /- warning: linear_map.mul_right_injective -> LinearMap.mulRight_injective is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (AddCommGroup.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toAddCommGroup.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Semiring.toModule.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (AddCommGroup.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toAddCommGroup.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Semiring.toModule.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_injective LinearMap.mulRight_injectiveₓ'. -/
 theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulRight R x) :=
@@ -420,9 +420,9 @@ theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
 
 /- warning: linear_map.mul_injective -> LinearMap.mul_injective is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (AddCommGroup.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toAddCommGroup.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Semiring.toModule.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (AddCommGroup.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toAddCommGroup.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Semiring.toModule.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
 but is expected to have type
-  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) x) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) x) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_smulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.mul_injective LinearMap.mul_injectiveₓ'. -/
 theorem mul_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) : Function.Injective (mul R A x) :=
   by

mathlib commit https://github.com/leanprover-community/mathlib/commit/4c586d291f189eecb9d00581aeb3dd998ac34442

@@ -33,6 +33,12 @@ section NonUnitalNonAssoc
 variable (R A : Type _) [CommSemiring R] [NonUnitalNonAssocSemiring A] [Module R A]
   [SMulCommClass R A A] [IsScalarTower R A A]
 
+/- warning: linear_map.mul -> LinearMap.mul is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))
+but is expected to have type
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))
+Case conversion may be inaccurate. Consider using '#align linear_map.mul LinearMap.mulₓ'. -/
 /-- The multiplication in a non-unital non-associative algebra is a bilinear map.
 
 A weaker version of this for semirings exists as `add_monoid_hom.mul`. -/
@@ -40,6 +46,12 @@ def mul : A →ₗ[R] A →ₗ[R] A :=
   LinearMap.mk₂ R (· * ·) add_mul smul_mul_assoc mul_add mul_smul_comm
 #align linear_map.mul LinearMap.mul
 
+/- warning: linear_map.mul' -> LinearMap.mul' is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.module.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3
+but is expected to have type
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.instModuleTensorProductToSemiringAddCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3
+Case conversion may be inaccurate. Consider using '#align linear_map.mul' LinearMap.mul'ₓ'. -/
 /-- The multiplication map on a non-unital algebra, as an `R`-linear map from `A ⊗[R] A` to `A`. -/
 def mul' : A ⊗[R] A →ₗ[R] A :=
   TensorProduct.lift (mul R A)
@@ -47,26 +59,56 @@ def mul' : A ⊗[R] A →ₗ[R] A :=
 
 variable {A}
 
+/- warning: linear_map.mul_left -> LinearMap.mulLeft is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3)
+but is expected to have type
+  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3)
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_left LinearMap.mulLeftₓ'. -/
 /-- The multiplication on the left in a non-unital algebra is a linear map. -/
 def mulLeft (a : A) : A →ₗ[R] A :=
   mul R A a
 #align linear_map.mul_left LinearMap.mulLeft
 
+/- warning: linear_map.mul_right -> LinearMap.mulRight is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3)
+but is expected to have type
+  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3)
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_right LinearMap.mulRightₓ'. -/
 /-- The multiplication on the right in an algebra is a linear map. -/
 def mulRight (a : A) : A →ₗ[R] A :=
   (mul R A).flip a
 #align linear_map.mul_right LinearMap.mulRight
 
+/- warning: linear_map.mul_left_right -> LinearMap.mulLeftRight is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], (Prod.{u2, u2} A A) -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3)
+but is expected to have type
+  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], (Prod.{u2, u2} A A) -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3)
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_right LinearMap.mulLeftRightₓ'. -/
 /-- Simultaneous multiplication on the left and right is a linear map. -/
 def mulLeftRight (ab : A × A) : A →ₗ[R] A :=
   (mulRight R ab.snd).comp (mulLeft R ab.fst)
 #align linear_map.mul_left_right LinearMap.mulLeftRight
 
+/- warning: linear_map.mul_left_to_add_monoid_hom -> LinearMap.mulLeft_toAddMonoid_hom is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A), Eq.{succ u2} (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (HasLiftT.mk.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (CoeTCₓ.coe.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (AddMonoidHom.hasCoeT.{u2, u2, u2} A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (SemilinearMapClass.addMonoidHomClass.{u1, u1, u2, u2, u2} R R A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (AddMonoidHom.mulLeft.{u2} A _inst_2 a)
+but is expected to have type
+  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A), Eq.{succ u2} (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (AddMonoidHomClass.toAddMonoidHom.{u2, u2, u2} A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulActionHomClass.toAddMonoidHomClass.{u2, u1, u2, u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) R A A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u2, u2} R A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (AddMonoidHom.mulLeft.{u2} A _inst_2 a)
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_to_add_monoid_hom LinearMap.mulLeft_toAddMonoid_homₓ'. -/
 @[simp]
 theorem mulLeft_toAddMonoid_hom (a : A) : (mulLeft R a : A →+ A) = AddMonoidHom.mulLeft a :=
   rfl
 #align linear_map.mul_left_to_add_monoid_hom LinearMap.mulLeft_toAddMonoid_hom
 
+/- warning: linear_map.mul_right_to_add_monoid_hom -> LinearMap.mulRight_toAddMonoid_hom is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A), Eq.{succ u2} (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (HasLiftT.mk.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (CoeTCₓ.coe.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (AddMonoidHom.hasCoeT.{u2, u2, u2} A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (SemilinearMapClass.addMonoidHomClass.{u1, u1, u2, u2, u2} R R A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (AddMonoidHom.mulRight.{u2} A _inst_2 a)
+but is expected to have type
+  forall (R : Type.{u1}) {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A), Eq.{succ u2} (AddMonoidHom.{u2, u2} A A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (AddMonoidHomClass.toAddMonoidHom.{u2, u2, u2} A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2))) (DistribMulActionHomClass.toAddMonoidHomClass.{u2, u1, u2, u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) R A A (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3) (SemilinearMapClass.distribMulActionHomClass.{u1, u2, u2, u2} R A A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (LinearMap.instSemilinearMapClassLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a)) (AddMonoidHom.mulRight.{u2} A _inst_2 a)
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_to_add_monoid_hom LinearMap.mulRight_toAddMonoid_homₓ'. -/
 @[simp]
 theorem mulRight_toAddMonoid_hom (a : A) : (mulRight R a : A →+ A) = AddMonoidHom.mulRight a :=
   rfl
@@ -74,36 +116,78 @@ theorem mulRight_toAddMonoid_hom (a : A) : (mulRight R a : A →+ A) = AddMonoid
 
 variable {R}
 
+/- warning: linear_map.mul_apply' -> LinearMap.mul_apply' is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) 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_inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a b)
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) a) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_apply' LinearMap.mul_apply'ₓ'. -/
 @[simp]
 theorem mul_apply' (a b : A) : mul R A a b = a * b :=
   rfl
 #align linear_map.mul_apply' LinearMap.mul_apply'
 
+/- warning: linear_map.mul_left_apply -> LinearMap.mulLeft_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a b)
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_apply LinearMap.mulLeft_applyₓ'. -/
 @[simp]
 theorem mulLeft_apply (a b : A) : mulLeft R a b = a * b :=
   rfl
 #align linear_map.mul_left_apply LinearMap.mulLeft_apply
 
+/- warning: linear_map.mul_right_apply -> LinearMap.mulRight_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) b a)
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) b) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 a) b) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) b a)
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_apply LinearMap.mulRight_applyₓ'. -/
 @[simp]
 theorem mulRight_apply (a b : A) : mulRight R a b = b * a :=
   rfl
 #align linear_map.mul_right_apply LinearMap.mulRight_apply
 
+/- warning: linear_map.mul_left_right_apply -> LinearMap.mulLeftRight_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A) (x : A), Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeftRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Prod.mk.{u2, u2} A A a b)) x) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a x) b)
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] (a : A) (b : A) (x : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) x) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeftRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (Prod.mk.{u2, u2} A A a b)) x) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a x) b)
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_right_apply LinearMap.mulLeftRight_applyₓ'. -/
 @[simp]
 theorem mulLeftRight_apply (a b x : A) : mulLeftRight R (a, b) x = a * x * b :=
   rfl
 #align linear_map.mul_left_right_apply LinearMap.mulLeftRight_apply
 
+/- warning: linear_map.mul'_apply -> LinearMap.mul'_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] {a : A} {b : A}, Eq.{succ u2} A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.module.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.module.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3) => (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.module.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul'.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) a b)
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))] {a : A} {b : A}, Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.instModuleTensorProductToSemiringAddCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3) (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (fun (_x : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R (TensorProduct.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (TensorProduct.addCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (TensorProduct.instModuleTensorProductToSemiringAddCommMonoid.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul'.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5) (TensorProduct.tmul.{u1, u2, u2} R _inst_1 A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 a b)) (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A _inst_2)) a b)
+Case conversion may be inaccurate. Consider using '#align linear_map.mul'_apply LinearMap.mul'_applyₓ'. -/
 @[simp]
 theorem mul'_apply {a b : A} : mul' R A (a ⊗ₜ b) = a * b :=
   rfl
 #align linear_map.mul'_apply LinearMap.mul'_apply
 
+/- warning: linear_map.mul_left_zero_eq_zero -> LinearMap.mulLeft_zero_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (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.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) 0 (OfNat.mk.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) 0 (Zero.zero.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (LinearMap.hasZero.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (LinearMap.mulLeft.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))) (OfNat.ofNat.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) 0 (Zero.toOfNat0.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (LinearMap.instZeroLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_zero_eq_zero LinearMap.mulLeft_zero_eq_zeroₓ'. -/
 @[simp]
 theorem mulLeft_zero_eq_zero : mulLeft R (0 : A) = 0 :=
   (mul R A).map_zero
 #align linear_map.mul_left_zero_eq_zero LinearMap.mulLeft_zero_eq_zero
 
+/- warning: linear_map.mul_right_zero_eq_zero -> LinearMap.mulRight_zero_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2)))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A _inst_2))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (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.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) 0 (OfNat.mk.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) 0 (Zero.zero.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (LinearMap.hasZero.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalNonAssocSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2)] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)))) (SMulZeroClass.toSMul.{u1, u2} R A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3))))], Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (LinearMap.mulRight.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A _inst_2))))) (OfNat.ofNat.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) 0 (Zero.toOfNat0.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3) (LinearMap.instZeroLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A _inst_2) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_zero_eq_zero LinearMap.mulRight_zero_eq_zeroₓ'. -/
 @[simp]
 theorem mulRight_zero_eq_zero : mulRight R (0 : A) = 0 :=
   (mul R A).flip.map_zero
@@ -116,10 +200,16 @@ section NonUnital
 variable (R A : Type _) [CommSemiring R] [NonUnitalSemiring A] [Module R A] [SMulCommClass R A A]
   [IsScalarTower R A A]
 
+/- warning: non_unital_alg_hom.lmul -> LinearMap.NonUnitalAlgHom.lmul is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (LinearMap.NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))
+but is expected to have type
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))
+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.lmul LinearMap.NonUnitalAlgHom.lmulₓ'. -/
 /-- The multiplication in a non-unital algebra is a bilinear map.
 
 A weaker version of this for non-unital non-associative algebras exists as `linear_map.mul`. -/
-def NonUnitalAlgHom.lmul : A →ₙₐ[R] End R A :=
+def LinearMap.NonUnitalAlgHom.lmul : A →ₙₐ[R] End R A :=
   {
     mul R A with
     map_mul' := by
@@ -129,21 +219,40 @@ def NonUnitalAlgHom.lmul : A →ₙₐ[R] End R A :=
     map_zero' := by
       ext a
       exact zero_mul a }
-#align non_unital_alg_hom.lmul NonUnitalAlgHom.lmul
+#align non_unital_alg_hom.lmul LinearMap.NonUnitalAlgHom.lmul
 
 variable {R A}
 
+/- warning: non_unital_alg_hom.coe_lmul_eq_mul -> LinearMap.NonUnitalAlgHom.coe_lmul_eq_mul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], Eq.{succ u2} (A -> (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)) (coeFn.{succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (LinearMap.NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) (fun (_x : NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (LinearMap.NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) => A -> (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)) (NonUnitalAlgHom.hasCoeToFun.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.distribMulAction.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (LinearMap.NonUnitalAlgHom.lmul._proof_1.{u1, u2} R A _inst_1 _inst_2 _inst_3))) (LinearMap.NonUnitalAlgHom.lmul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3)) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5))
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))], Eq.{succ u2} (forall (ᾰ : A), (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) ᾰ) (FunLike.coe.{succ u2, succ u2, succ u2} (NonUnitalAlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Semiring.toNonAssocSemiring.{u2} (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))) (LinearMap.instDistribMulActionLinearMapToAddMonoidAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (Module.toDistribMulAction.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.NonUnitalAlg._hyg.1410 : A) => Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) _x) (NonUnitalAlgHom.instFunLikeNonUnitalAlgHom.{u1, u2, u2} R A 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) (LinearMap.NonUnitalAlgHom.lmul.{u1, u2} R A _inst_1 _inst_2 _inst_3 _inst_4 _inst_5)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R 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(CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_3 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_3 (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5))
+Case conversion may be inaccurate. Consider using '#align non_unital_alg_hom.coe_lmul_eq_mul LinearMap.NonUnitalAlgHom.coe_lmul_eq_mulₓ'. -/
 @[simp]
-theorem NonUnitalAlgHom.coe_lmul_eq_mul : ⇑(NonUnitalAlgHom.lmul R A) = mul R A :=
+theorem LinearMap.NonUnitalAlgHom.coe_lmul_eq_mul :
+    ⇑(LinearMap.NonUnitalAlgHom.lmul R A) = mul R A :=
   rfl
-#align non_unital_alg_hom.coe_lmul_eq_mul NonUnitalAlgHom.coe_lmul_eq_mul
-
+#align non_unital_alg_hom.coe_lmul_eq_mul LinearMap.NonUnitalAlgHom.coe_lmul_eq_mul
+
+/- warning: linear_map.commute_mul_left_right -> LinearMap.commute_mulLeft_right is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))] (a : A) (b : A), Commute.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (LinearMap.module.End.hasMul.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 a) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 b)
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))] (a : A) (b : A), Commute.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (LinearMap.instMulEnd.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 a) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 b)
+Case conversion may be inaccurate. Consider using '#align linear_map.commute_mul_left_right LinearMap.commute_mulLeft_rightₓ'. -/
 theorem commute_mulLeft_right (a b : A) : Commute (mulLeft R a) (mulRight R b) :=
   by
   ext c
   exact (mul_assoc a c b).symm
 #align linear_map.commute_mul_left_right LinearMap.commute_mulLeft_right
 
+/- warning: linear_map.mul_left_mul -> LinearMap.mulLeft_mul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))] (a : A) (b : A), Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) a b)) (LinearMap.comp.{u1, u1, u1, u2, u2, u2} R R R A A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomCompTriple.right_ids.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 a) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 b))
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))] (a : A) (b : A), Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) a b)) (LinearMap.comp.{u1, u1, u1, u2, u2, u2} R R R A A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomCompTriple.ids.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 a) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 b))
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_mul LinearMap.mulLeft_mulₓ'. -/
 @[simp]
 theorem mulLeft_mul (a b : A) : mulLeft R (a * b) = (mulLeft R a).comp (mulLeft R b) :=
   by
@@ -151,6 +260,12 @@ theorem mulLeft_mul (a b : A) : mulLeft R (a * b) = (mulLeft R a).comp (mulLeft
   simp only [mul_left_apply, comp_apply, mul_assoc]
 #align linear_map.mul_left_mul LinearMap.mulLeft_mul
 
+/- warning: linear_map.mul_right_mul -> LinearMap.mulRight_mul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (Mul.toSMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) (SMulZeroClass.toHasSmul.{u1, u2} R A (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} A (AddMonoid.toAddZeroClass.{u2} A (AddCommMonoid.toAddMonoid.{u2} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))] (a : A) (b : A), Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (Distrib.toHasMul.{u2} A (NonUnitalNonAssocSemiring.toDistrib.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))) a b)) (LinearMap.comp.{u1, u1, u1, u2, u2, u2} R R R A A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomCompTriple.right_ids.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 b) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 a))
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : NonUnitalSemiring.{u2} A] [_inst_3 : Module.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))] [_inst_4 : SMulCommClass.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)))))] [_inst_5 : IsScalarTower.{u1, u2, u2} R A A (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3)))) (SMulZeroClass.toSMul.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u2, u2} A A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulZeroClass.toSMulWithZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))))) (SMulZeroClass.toSMul.{u1, u2} R A (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (SMulWithZero.toSMulZeroClass.{u1, u2} R A (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (MulActionWithZero.toSMulWithZero.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (SemigroupWithZero.toZero.{u2} A (NonUnitalSemiring.toSemigroupWithZero.{u2} A _inst_2)) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3))))] (a : A) (b : A), Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 (HMul.hMul.{u2, u2, u2} A A A (instHMul.{u2} A (NonUnitalNonAssocSemiring.toMul.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2))) a b)) (LinearMap.comp.{u1, u1, u1, u2, u2, u2} R R R A A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2)) _inst_3 _inst_3 _inst_3 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomCompTriple.ids.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 b) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u2} A _inst_2) _inst_3 _inst_4 _inst_5 a))
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_mul LinearMap.mulRight_mulₓ'. -/
 @[simp]
 theorem mulRight_mul (a b : A) : mulRight R (a * b) = (mulRight R b).comp (mulRight R a) :=
   by
@@ -164,11 +279,17 @@ section Semiring
 
 variable (R A : Type _) [CommSemiring R] [Semiring A] [Algebra R A]
 
+/- warning: algebra.lmul -> LinearMap.Algebra.lmul is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2], AlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) _inst_1 _inst_2 (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) _inst_3 (Module.End.algebra.{u1, u2} R A _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))
+but is expected to have type
+  forall (R : Type.{u1}) (A : Type.{u2}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2], AlgHom.{u1, u2, u2} R A (Module.End.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) _inst_1 _inst_2 (Module.End.semiring.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) _inst_3 (Module.instAlgebraEndToSemiringSemiring.{u1, u2} R A _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3))
+Case conversion may be inaccurate. Consider using '#align algebra.lmul LinearMap.Algebra.lmulₓ'. -/
 /-- The multiplication in an algebra is an algebra homomorphism into the endomorphisms on
 the algebra.
 
 A weaker version of this for non-unital algebras exists as `non_unital_alg_hom.mul`. -/
-def Algebra.lmul : A →ₐ[R] End R A :=
+def LinearMap.Algebra.lmul : A →ₐ[R] End R A :=
   {
     LinearMap.mul R
       A with
@@ -186,15 +307,23 @@ def Algebra.lmul : A →ₐ[R] End R A :=
       intro r
       ext a
       exact (Algebra.smul_def r a).symm }
-#align algebra.lmul Algebra.lmul
+#align algebra.lmul LinearMap.Algebra.lmul
 
 variable {R A}
 
+#print LinearMap.Algebra.coe_lmul_eq_mul /-
 @[simp]
-theorem Algebra.coe_lmul_eq_mul : ⇑(Algebra.lmul R A) = mul R A :=
+theorem LinearMap.Algebra.coe_lmul_eq_mul : ⇑(LinearMap.Algebra.lmul R A) = mul R A :=
   rfl
-#align algebra.coe_lmul_eq_mul Algebra.coe_lmul_eq_mul
+#align algebra.coe_lmul_eq_mul LinearMap.Algebra.coe_lmul_eq_mul
+-/
 
+/- warning: linear_map.mul_left_eq_zero_iff -> LinearMap.mulLeft_eq_zero_iff is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (a : A), Iff (Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A _inst_2 _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Semiring.toModule.{u2} A _inst_2) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3) a) (OfNat.ofNat.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (OfNat.mk.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (Zero.zero.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.hasZero.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (Eq.{succ u2} A a (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))))))
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (a : A), Iff (Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A _inst_2 _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Semiring.toModule.{u2} A _inst_2) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3) a) (OfNat.ofNat.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (Zero.toOfNat0.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.instZeroLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Eq.{succ u2} A a (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))))
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_eq_zero_iff LinearMap.mulLeft_eq_zero_iffₓ'. -/
 @[simp]
 theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 :=
   by
@@ -204,6 +333,12 @@ theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 :=
     exact mul_left_zero_eq_zero
 #align linear_map.mul_left_eq_zero_iff LinearMap.mulLeft_eq_zero_iff
 
+/- warning: linear_map.mul_right_eq_zero_iff -> LinearMap.mulRight_eq_zero_iff is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (a : A), Iff (Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A _inst_2 _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Semiring.toModule.{u2} A _inst_2) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3) a) (OfNat.ofNat.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (OfNat.mk.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (Zero.zero.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.hasZero.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))))))) (Eq.{succ u2} A a (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))))))
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2] (a : A), Iff (Eq.{succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A _inst_2 _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Semiring.toModule.{u2} A _inst_2) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 _inst_2 _inst_3) a) (OfNat.ofNat.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) 0 (Zero.toOfNat0.{u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (LinearMap.instZeroLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))))) (Eq.{succ u2} A a (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2)))))
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_eq_zero_iff LinearMap.mulRight_eq_zero_iffₓ'. -/
 @[simp]
 theorem mulRight_eq_zero_iff (a : A) : mulRight R a = 0 ↔ a = 0 :=
   by
@@ -213,32 +348,41 @@ theorem mulRight_eq_zero_iff (a : A) : mulRight R a = 0 ↔ a = 0 :=
     exact mul_right_zero_eq_zero
 #align linear_map.mul_right_eq_zero_iff LinearMap.mulRight_eq_zero_iff
 
+#print LinearMap.mulLeft_one /-
 @[simp]
 theorem mulLeft_one : mulLeft R (1 : A) = LinearMap.id :=
   by
   ext
   simp only [LinearMap.id_coe, one_mul, id.def, mul_left_apply]
 #align linear_map.mul_left_one LinearMap.mulLeft_one
+-/
 
+#print LinearMap.mulRight_one /-
 @[simp]
 theorem mulRight_one : mulRight R (1 : A) = LinearMap.id :=
   by
   ext
   simp only [LinearMap.id_coe, mul_one, id.def, mul_right_apply]
 #align linear_map.mul_right_one LinearMap.mulRight_one
+-/
 
+#print LinearMap.pow_mulLeft /-
 @[simp]
 theorem pow_mulLeft (a : A) (n : ℕ) : mulLeft R a ^ n = mulLeft R (a ^ n) := by
-  simpa only [mul_left, ← Algebra.coe_lmul_eq_mul] using ((Algebra.lmul R A).map_pow a n).symm
+  simpa only [mul_left, ← LinearMap.Algebra.coe_lmul_eq_mul] using
+    ((LinearMap.Algebra.lmul R A).map_pow a n).symm
 #align linear_map.pow_mul_left LinearMap.pow_mulLeft
+-/
 
+#print LinearMap.pow_mulRight /-
 @[simp]
 theorem pow_mulRight (a : A) (n : ℕ) : mulRight R a ^ n = mulRight R (a ^ n) :=
   by
-  simp only [mul_right, ← Algebra.coe_lmul_eq_mul]
+  simp only [mul_right, ← LinearMap.Algebra.coe_lmul_eq_mul]
   exact
     LinearMap.coe_injective (((mul_right R a).val_pow_eq_pow_val n).symm ▸ mul_right_iterate a n)
 #align linear_map.pow_mul_right LinearMap.pow_mulRight
+-/
 
 end Semiring
 
@@ -246,6 +390,12 @@ section Ring
 
 variable {R A : Type _} [CommSemiring R] [Ring A] [Algebra R A]
 
+/- warning: linear_map.mul_left_injective -> LinearMap.mulLeft_injective is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (AddCommGroup.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toAddCommGroup.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Semiring.toModule.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulLeft.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_left_injective LinearMap.mulLeft_injectiveₓ'. -/
 theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulLeft R x) :=
   by
@@ -254,6 +404,12 @@ theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
   exact mul_right_injective₀ hx
 #align linear_map.mul_left_injective LinearMap.mulLeft_injective
 
+/- warning: linear_map.mul_right_injective -> LinearMap.mulRight_injective is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (AddCommGroup.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toAddCommGroup.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Semiring.toModule.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mulRight.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) x)))
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_right_injective LinearMap.mulRight_injectiveₓ'. -/
 theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulRight R x) :=
   by
@@ -262,6 +418,12 @@ theorem mulRight_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
   exact mul_left_injective₀ hx
 #align linear_map.mul_right_injective LinearMap.mulRight_injective
 
+/- warning: linear_map.mul_injective -> LinearMap.mul_injective is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (Distrib.toHasMul.{u2} A (Ring.toDistrib.{u2} A _inst_2)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (OfNat.mk.{u2} A 0 (Zero.zero.{u2} A (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))))))) -> (Function.Injective.{succ u2, succ u2} A A (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) => A -> A) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)))) => A -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.module.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (LinearMap.mul._proof_1.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (AddCommGroup.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toAddCommGroup.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (Semiring.toModule.{u2} A (Ring.toSemiring.{u2} A _inst_2)) (Algebra.toModule.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
+but is expected to have type
+  forall {R : Type.{u1}} {A : Type.{u2}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : Ring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2)] [_inst_4 : NoZeroDivisors.{u2} A (NonUnitalNonAssocRing.toMul.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))] {x : A}, (Ne.{succ u2} A x (OfNat.ofNat.{u2} A 0 (Zero.toOfNat0.{u2} A (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A _inst_2)))))) -> (Function.Injective.{succ u2, succ u2} A A (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) x) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => A) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : A) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R R A (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) A A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3)) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R A A (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (smulCommClass_self.{u1, u2} R A (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (MulZeroClass.toZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))))) (Module.toMulActionWithZero.{u1, u2} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3))))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mul.{u1, u2} R A _inst_1 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.to_sMulCommClass.{u1, u2, u2} R _inst_1 A (Ring.toSemiring.{u2} A _inst_2) _inst_3 A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_2)))) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing_1.{u2} A _inst_2) (LinearMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonAssocRing.{u1, u2} R A _inst_1 _inst_2 _inst_3) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) (IsScalarTower.right.{u1, u2} R A _inst_1 (Ring.toSemiring.{u2} A _inst_2) _inst_3)) x)))
+Case conversion may be inaccurate. Consider using '#align linear_map.mul_injective LinearMap.mul_injectiveₓ'. -/
 theorem mul_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) : Function.Injective (mul R A x) :=
   by
   letI : Nontrivial A := ⟨⟨x, 0, hx⟩⟩

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

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

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

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

@@ -3,7 +3,7 @@ Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
 -/
-import Mathlib.Algebra.Algebra.Basic
+import Mathlib.Algebra.Algebra.Defs
 import Mathlib.Algebra.Algebra.NonUnitalHom
 import Mathlib.Algebra.GroupPower.IterateHom
 import Mathlib.LinearAlgebra.TensorProduct.Basic

These are changes from #11997, the latest adaptation PR for nightly-2024-04-07, which can be made directly on master.

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

@@ -223,13 +223,13 @@ theorem mulRight_eq_zero_iff (a : A) : mulRight R a = 0 ↔ a = 0 := by
 @[simp]
 theorem mulLeft_one : mulLeft R (1 : A) = LinearMap.id := by
   ext
-  simp only [LinearMap.id_coe, one_mul, id.def, mulLeft_apply]
+  simp
 #align linear_map.mul_left_one LinearMap.mulLeft_one
 
 @[simp]
 theorem mulRight_one : mulRight R (1 : A) = LinearMap.id := by
   ext
-  simp only [LinearMap.id_coe, mul_one, id.def, mulRight_apply]
+  simp
 #align linear_map.mul_right_one LinearMap.mulRight_one
 
 @[simp]

Generalizes the previous definition and moves it into LinearAlgebra/BilinearMap.

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>

@@ -22,26 +22,6 @@ open TensorProduct Module
 
 namespace LinearMap
 
-section RestrictScalars
-
-variable
-  (R : Type*) {A M N P : Type*}
-  [CommSemiring R] [CommSemiring A]
-  [AddCommMonoid M] [AddCommMonoid N] [AddCommMonoid P]
-  [Algebra R A]
-  [Module R M] [Module R N] [Module R P]
-  [Module A M] [Module A N] [Module A P]
-  [IsScalarTower R A M] [IsScalarTower R A N] [IsScalarTower R A P]
-
-/-- A version of `LinearMap.restrictScalars` for bilinear maps.
-
-The double subscript in the name is to match `LinearMap.compl₁₂`. -/
-@[simps!]
-def restrictScalars₁₂ (f : M →ₗ[A] N →ₗ[A] P) : M →ₗ[R] N →ₗ[R] P :=
-  (f.flip.restrictScalars _).flip.restrictScalars _
-
-end RestrictScalars
-
 section NonUnitalNonAssoc
 
 variable (R A : Type*) [CommSemiring R] [NonUnitalNonAssocSemiring A] [Module R A]

Move:

• Mathlib/Algebra/Module/DirectLimitAndTensorProduct.lean to LinearAlgebra/TensorProduct/DirectLimit.lean
• Mathlib/LinearAlgebra/TensorProduct to Mathlib/LinearAlgebra.TensorProduct.Basic.lean
• Mathlib/RingTheory/TensorProduct to Mathlib/RingTheory/TensorProduct/Basic.lean.

This follows suggestions 1, 2, 3 of

https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Tensor.20Products.20of.20modules.20and.20rings/near/424605543

Co-authored-by: Antoine Chambert-Loir <antoine.chambert-loir@math.univ-paris-diderot.fr>

@@ -6,7 +6,7 @@ Authors: Kenny Lau, Yury Kudryashov
 import Mathlib.Algebra.Algebra.Basic
 import Mathlib.Algebra.Algebra.NonUnitalHom
 import Mathlib.Algebra.GroupPower.IterateHom
-import Mathlib.LinearAlgebra.TensorProduct
+import Mathlib.LinearAlgebra.TensorProduct.Basic
 
 #align_import algebra.algebra.bilinear from "leanprover-community/mathlib"@"657df4339ae6ceada048c8a2980fb10e393143ec"
 

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

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

@@ -225,7 +225,7 @@ theorem _root_.Algebra.lmul_isUnit_iff {x : A} :
 @[simp]
 theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 := by
   constructor <;> intro h
-  -- porting note: had to supply `R` explicitly in `@mulLeft_apply` below
+  -- Porting note: had to supply `R` explicitly in `@mulLeft_apply` below
   · rw [← mul_one a, ← @mulLeft_apply R _ _ _ _ _ _ a 1, h, LinearMap.zero_apply]
   · rw [h]
     exact mulLeft_zero_eq_zero
@@ -234,7 +234,7 @@ theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 := by
 @[simp]
 theorem mulRight_eq_zero_iff (a : A) : mulRight R a = 0 ↔ a = 0 := by
   constructor <;> intro h
-  -- porting note: had to supply `R` explicitly in `@mulRight_apply` below
+  -- Porting note: had to supply `R` explicitly in `@mulRight_apply` below
   · rw [← one_mul a, ← @mulRight_apply R _ _ _ _ _ _ a 1, h, LinearMap.zero_apply]
   · rw [h]
     exact mulRight_zero_eq_zero

I didn't get a chance to review #10097 before it was merged; this contains some minor fixups.

This removes LinearMap.linMulLin, as it can be recovered easily via LinearMap.mul.

@@ -22,6 +22,26 @@ open TensorProduct Module
 
 namespace LinearMap
 
+section RestrictScalars
+
+variable
+  (R : Type*) {A M N P : Type*}
+  [CommSemiring R] [CommSemiring A]
+  [AddCommMonoid M] [AddCommMonoid N] [AddCommMonoid P]
+  [Algebra R A]
+  [Module R M] [Module R N] [Module R P]
+  [Module A M] [Module A N] [Module A P]
+  [IsScalarTower R A M] [IsScalarTower R A N] [IsScalarTower R A P]
+
+/-- A version of `LinearMap.restrictScalars` for bilinear maps.
+
+The double subscript in the name is to match `LinearMap.compl₁₂`. -/
+@[simps!]
+def restrictScalars₁₂ (f : M →ₗ[A] N →ₗ[A] P) : M →ₗ[R] N →ₗ[R] P :=
+  (f.flip.restrictScalars _).flip.restrictScalars _
+
+end RestrictScalars
+
 section NonUnitalNonAssoc
 
 variable (R A : Type*) [CommSemiring R] [NonUnitalNonAssocSemiring A] [Module R A]

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

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

@@ -4,7 +4,6 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
 -/
 import Mathlib.Algebra.Algebra.Basic
-import Mathlib.Algebra.Algebra.Equiv
 import Mathlib.Algebra.Algebra.NonUnitalHom
 import Mathlib.Algebra.GroupPower.IterateHom
 import Mathlib.LinearAlgebra.TensorProduct

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>

@@ -196,7 +196,7 @@ theorem _root_.Algebra.coe_lmul_eq_mul : ⇑(Algebra.lmul R A) = mul R A :=
 #align algebra.coe_lmul_eq_mul Algebra.coe_lmul_eq_mul
 
 theorem _root_.Algebra.lmul_injective : Function.Injective (Algebra.lmul R A) :=
-  fun a₁ a₂ h ↦ by simpa using FunLike.congr_fun h 1
+  fun a₁ a₂ h ↦ by simpa using DFunLike.congr_fun h 1
 
 theorem _root_.Algebra.lmul_isUnit_iff {x : A} :
     IsUnit (Algebra.lmul R A x) ↔ IsUnit x := by

Let Mₛ be a R-module and let M be a submodule of Mₛ such that Mₛ is the localization at S of M where S is a submonoid of R. Assume that Mₛ is a Rₛ-module where Rₛ is a localization of R at S. Then, any R-basis of M is a Rₛ-basis of Mₛ.

This result is used to prove the results about Basis.localizationLocalization. For that, it is necessary to move some results between files and modify some imports.

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

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

@@ -198,6 +198,11 @@ theorem _root_.Algebra.coe_lmul_eq_mul : ⇑(Algebra.lmul R A) = mul R A :=
 theorem _root_.Algebra.lmul_injective : Function.Injective (Algebra.lmul R A) :=
   fun a₁ a₂ h ↦ by simpa using FunLike.congr_fun h 1
 
+theorem _root_.Algebra.lmul_isUnit_iff {x : A} :
+    IsUnit (Algebra.lmul R A x) ↔ IsUnit x := by
+  rw [Module.End_isUnit_iff, Iff.comm]
+  exact IsUnit.isUnit_iff_mulLeft_bijective
+
 @[simp]
 theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 := by
   constructor <;> intro h

Zulip

Initially I just wanted to add more dot notations for IsIntegral and IsAlgebraic (done in #8437); then I noticed near-duplicates Algebra.isIntegral_of_finite [Field R] [Ring A] and RingHom.IsIntegral.of_finite [CommRing R] [CommRing A] so I went on to generalize the latter to cover the former, and generalized everything in the IntegralClosure file to the noncommutative case whenever possible.

In the process I noticed more golfs, which result in this PR. Most notably, isIntegral_of_mem_of_FG is now proven using Cayley-Hamilton and doesn't depend on the Noetherian case isIntegral_of_noetherian; the latter is now proven using the former. In total the golfs makes mathlib 227 lines leaner (+487 -714).

The main changes are in the single file RingTheory/IntegralClosure:

• Change the definition of Algebra.IsIntegral which makes it unfold to IsIntegral rather than RingHom.IsIntegralElem because the former has much more APIs.

• Fix lemma names involving is_integral which are actually about IsIntegralElem: RingHom.is_integral_map → RingHom.isIntegralElem_map RingHom.is_integral_of_mem_closure → RingHom.IsIntegralElem.of_mem_closure RingHom.is_integral_zero/one → RingHom.isIntegralElem_zero/one RingHom.is_integral_add/neg/sub/mul/of_mul_unit → RingHom.IsIntegralElem.add/neg/sub/mul/of_mul_unit

• Add a lemma Algebra.IsIntegral.of_injective.

• Move isIntegral_of_(submodule_)noetherian down and golf them.

• Remove (Algebra.)isIntegral_of_finite that work only over fields, in favor of the more general (Algebra.)isIntegral.of_finite.

• Merge duplicate lemmas isIntegral_of_isScalarTower and isIntegral_tower_top_of_isIntegral into IsIntegral.tower_top.

• Golf IsIntegral.of_mem_of_fg by first proving IsIntegral.of_finite using Cayley-Hamilton.

• Add a docstring mentioning the Kurosh problem at Algebra.IsIntegral.finite. The negative solution to the problem means the theorem doesn't generalize to noncommutative algebras.

• Golf IsIntegral.tmul and isField_of_isIntegral_of_isField(').

• Combine isIntegral_trans_aux into isIntegral_trans and golf.

• Add Algebra namespace to isIntegral_sup.

• rename lemmas for dot notation: RingHom.isIntegral_trans → RingHom.IsIntegral.trans RingHom.isIntegral_quotient/tower_bot/top_of_isIntegral → RingHom.IsIntegral.quotient/tower_bot/top isIntegral_of_mem_closure' → IsIntegral.of_mem_closure' (and the '' version) isIntegral_of_surjective → Algebra.isIntegral_of_surjective

The next changed file is RingTheory/Algebraic:

• Rename: of_larger_base → tower_top (for consistency with IsIntegral) Algebra.isAlgebraic_of_finite → Algebra.IsAlgebraic.of_finite Algebra.isAlgebraic_trans → Algebra.IsAlgebraic.trans

• Add new lemmasAlgebra.IsIntegral.isAlgebraic, isAlgebraic_algHom_iff, and Algebra.IsAlgebraic.of_injective to streamline some proofs.

The generalization from CommRing to Ring requires an additional lemma scaleRoots_eval₂_mul_of_commute in Polynomial/ScaleRoots.

A lemma Algebra.lmul_injective is added to Algebra/Bilinear (in order to golf the proof of IsIntegral.of_mem_of_fg).

In all other files, I merely fix the changed names, or use newly available dot notations.

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

@@ -195,6 +195,9 @@ theorem _root_.Algebra.coe_lmul_eq_mul : ⇑(Algebra.lmul R A) = mul R A :=
   rfl
 #align algebra.coe_lmul_eq_mul Algebra.coe_lmul_eq_mul
 
+theorem _root_.Algebra.lmul_injective : Function.Injective (Algebra.lmul R A) :=
+  fun a₁ a₂ h ↦ by simpa using FunLike.congr_fun h 1
+
 @[simp]
 theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 := by
   constructor <;> intro h

I believe the file defining a type of morphisms belongs alongside the file defining the structure this morphism works on. So I would like to reorganize the files in the Mathlib.Algebra.Hom folder so that e.g. Mathlib.Algebra.Hom.Ring becomes Mathlib.Algebra.Ring.Hom and Mathlib.Algebra.Hom.NonUnitalAlg becomes Mathlib.Algebra.Algebra.NonUnitalHom.

While fixing the imports I went ahead and sorted them for good luck.

The full list of changes is: renamed: Mathlib/Algebra/Hom/NonUnitalAlg.lean -> Mathlib/Algebra/Algebra/NonUnitalHom.lean renamed: Mathlib/Algebra/Hom/Aut.lean -> Mathlib/Algebra/Group/Aut.lean renamed: Mathlib/Algebra/Hom/Commute.lean -> Mathlib/Algebra/Group/Commute/Hom.lean renamed: Mathlib/Algebra/Hom/Embedding.lean -> Mathlib/Algebra/Group/Embedding.lean renamed: Mathlib/Algebra/Hom/Equiv/Basic.lean -> Mathlib/Algebra/Group/Equiv/Basic.lean renamed: Mathlib/Algebra/Hom/Equiv/TypeTags.lean -> Mathlib/Algebra/Group/Equiv/TypeTags.lean renamed: Mathlib/Algebra/Hom/Equiv/Units/Basic.lean -> Mathlib/Algebra/Group/Units/Equiv.lean renamed: Mathlib/Algebra/Hom/Equiv/Units/GroupWithZero.lean -> Mathlib/Algebra/GroupWithZero/Units/Equiv.lean renamed: Mathlib/Algebra/Hom/Freiman.lean -> Mathlib/Algebra/Group/Freiman.lean renamed: Mathlib/Algebra/Hom/Group/Basic.lean -> Mathlib/Algebra/Group/Hom/Basic.lean renamed: Mathlib/Algebra/Hom/Group/Defs.lean -> Mathlib/Algebra/Group/Hom/Defs.lean renamed: Mathlib/Algebra/Hom/GroupAction.lean -> Mathlib/GroupTheory/GroupAction/Hom.lean renamed: Mathlib/Algebra/Hom/GroupInstances.lean -> Mathlib/Algebra/Group/Hom/Instances.lean renamed: Mathlib/Algebra/Hom/Iterate.lean -> Mathlib/Algebra/GroupPower/IterateHom.lean renamed: Mathlib/Algebra/Hom/Centroid.lean -> Mathlib/Algebra/Ring/CentroidHom.lean renamed: Mathlib/Algebra/Hom/Ring/Basic.lean -> Mathlib/Algebra/Ring/Hom/Basic.lean renamed: Mathlib/Algebra/Hom/Ring/Defs.lean -> Mathlib/Algebra/Ring/Hom/Defs.lean renamed: Mathlib/Algebra/Hom/Units.lean -> Mathlib/Algebra/Group/Units/Hom.lean

Zulip thread: https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Reorganizing.20.60Mathlib.2EAlgebra.2EHom.60

@@ -5,8 +5,8 @@ Authors: Kenny Lau, Yury Kudryashov
 -/
 import Mathlib.Algebra.Algebra.Basic
 import Mathlib.Algebra.Algebra.Equiv
-import Mathlib.Algebra.Hom.Iterate
-import Mathlib.Algebra.Hom.NonUnitalAlg
+import Mathlib.Algebra.Algebra.NonUnitalHom
+import Mathlib.Algebra.GroupPower.IterateHom
 import Mathlib.LinearAlgebra.TensorProduct
 
 #align_import algebra.algebra.bilinear from "leanprover-community/mathlib"@"657df4339ae6ceada048c8a2980fb10e393143ec"

This adds LinearMap.map_mul_iff to match AddMonoidHom.map_mul_iff and uses it (along with AlgHom.ofLinearMap) to golf away some induction proof in favor of ext. The main motivation is the map_mul_iff lemma itself, not the golfing.

Also fixes some incorrect docstrings that were mangled during porting, and adds an explicit name to an instance.

@@ -4,6 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
 -/
 import Mathlib.Algebra.Algebra.Basic
+import Mathlib.Algebra.Algebra.Equiv
 import Mathlib.Algebra.Hom.Iterate
 import Mathlib.Algebra.Hom.NonUnitalAlg
 import Mathlib.LinearAlgebra.TensorProduct
@@ -152,7 +153,18 @@ end NonUnital
 
 section Semiring
 
-variable (R A : Type*) [CommSemiring R] [Semiring A] [Algebra R A]
+variable (R A B : Type*) [CommSemiring R] [Semiring A] [Semiring B] [Algebra R A] [Algebra R B]
+
+variable {R A B} in
+/-- A `LinearMap` preserves multiplication if pre- and post- composition with `LinearMap.mul` are
+equivalent. By converting the statement into an equality of `LinearMap`s, this lemma allows various
+specialized `ext` lemmas about `→ₗ[R]` to then be applied.
+
+This is the `LinearMap` version of `AddMonoidHom.map_mul_iff`. -/
+theorem map_mul_iff (f : A →ₗ[R] B) :
+    (∀ x y, f (x * y) = f x * f y) ↔
+      (LinearMap.mul R A).compr₂ f = (LinearMap.mul R B ∘ₗ f).compl₂ f :=
+  Iff.symm LinearMap.ext_iff₂
 
 /-- The multiplication in an algebra is an algebra homomorphism into the endomorphisms on
 the algebra.

More principled version of #7281.

@@ -18,7 +18,6 @@ in order to avoid importing `LinearAlgebra.BilinearMap` and
 `LinearAlgebra.TensorProduct` unnecessarily.
 -/
 
-
 open TensorProduct Module
 
 namespace LinearMap
@@ -36,7 +35,7 @@ def mul : A →ₗ[R] A →ₗ[R] A :=
 #align linear_map.mul LinearMap.mul
 
 /-- The multiplication map on a non-unital algebra, as an `R`-linear map from `A ⊗[R] A` to `A`. -/
-def mul' : A ⊗[R] A →ₗ[R] A :=
+noncomputable def mul' : A ⊗[R] A →ₗ[R] A :=
   TensorProduct.lift (mul R A)
 #align linear_map.mul' LinearMap.mul'
 

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

This has nice performance benefits.

@@ -25,7 +25,7 @@ namespace LinearMap
 
 section NonUnitalNonAssoc
 
-variable (R A : Type _) [CommSemiring R] [NonUnitalNonAssocSemiring A] [Module R A]
+variable (R A : Type*) [CommSemiring R] [NonUnitalNonAssocSemiring A] [Module R A]
   [SMulCommClass R A A] [IsScalarTower R A A]
 
 /-- The multiplication in a non-unital non-associative algebra is a bilinear map.
@@ -108,7 +108,7 @@ end NonUnitalNonAssoc
 
 section NonUnital
 
-variable (R A : Type _) [CommSemiring R] [NonUnitalSemiring A] [Module R A] [SMulCommClass R A A]
+variable (R A : Type*) [CommSemiring R] [NonUnitalSemiring A] [Module R A] [SMulCommClass R A A]
   [IsScalarTower R A A]
 
 /-- The multiplication in a non-unital algebra is a bilinear map.
@@ -153,7 +153,7 @@ end NonUnital
 
 section Semiring
 
-variable (R A : Type _) [CommSemiring R] [Semiring A] [Algebra R A]
+variable (R A : Type*) [CommSemiring R] [Semiring A] [Algebra R A]
 
 /-- The multiplication in an algebra is an algebra homomorphism into the endomorphisms on
 the algebra.
@@ -230,7 +230,7 @@ end Semiring
 
 section Ring
 
-variable {R A : Type _} [CommSemiring R] [Ring A] [Algebra R A]
+variable {R A : Type*} [CommSemiring R] [Ring A] [Algebra R A]
 
 theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulLeft R x) := by

• depends on: #5966

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

@@ -2,17 +2,14 @@
 Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Yury Kudryashov
-
-! This file was ported from Lean 3 source module algebra.algebra.bilinear
-! leanprover-community/mathlib commit 657df4339ae6ceada048c8a2980fb10e393143ec
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Algebra.Basic
 import Mathlib.Algebra.Hom.Iterate
 import Mathlib.Algebra.Hom.NonUnitalAlg
 import Mathlib.LinearAlgebra.TensorProduct
 
+#align_import algebra.algebra.bilinear from "leanprover-community/mathlib"@"657df4339ae6ceada048c8a2980fb10e393143ec"
+
 /-!
 # Facts about algebras involving bilinear maps and tensor products
 

@@ -235,12 +235,6 @@ section Ring
 
 variable {R A : Type _} [CommSemiring R] [Ring A] [Algebra R A]
 
-/-- This instance should not be necessary. porting note: drop after lean4#2074 resolved? -/
-local instance : Module R A := Algebra.toModule
-
-/-- This instance should not be necessary. porting note: drop after lean4#2074 resolved? -/
-local instance : Module A A := Semiring.toModule
-
 theorem mulLeft_injective [NoZeroDivisors A] {x : A} (hx : x ≠ 0) :
     Function.Injective (mulLeft R x) := by
   letI : Nontrivial A := ⟨⟨x, 0, hx⟩⟩

Mathport doesn't understand this, and apparently nor do many of the humans fixing the errors it creates.

If your #align statement complains the def doesn't exist, don't change the #align; work out why it doesn't exist instead.

Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

@@ -117,7 +117,7 @@ variable (R A : Type _) [CommSemiring R] [NonUnitalSemiring A] [Module R A] [SMu
 /-- The multiplication in a non-unital algebra is a bilinear map.
 
 A weaker version of this for non-unital non-associative algebras exists as `LinearMap.mul`. -/
-def NonUnitalAlgHom.lmul : A →ₙₐ[R] End R A :=
+def _root_.NonUnitalAlgHom.lmul : A →ₙₐ[R] End R A :=
   { mul R A with
     map_mul' := by
       intro a b
@@ -126,14 +126,14 @@ def NonUnitalAlgHom.lmul : A →ₙₐ[R] End R A :=
     map_zero' := by
       ext a
       exact zero_mul a }
-#align non_unital_alg_hom.lmul LinearMap.NonUnitalAlgHom.lmul
+#align non_unital_alg_hom.lmul NonUnitalAlgHom.lmul
 
 variable {R A}
 
 @[simp]
-theorem NonUnitalAlgHom.coe_lmul_eq_mul : ⇑(NonUnitalAlgHom.lmul R A) = mul R A :=
+theorem _root_.NonUnitalAlgHom.coe_lmul_eq_mul : ⇑(NonUnitalAlgHom.lmul R A) = mul R A :=
   rfl
-#align non_unital_alg_hom.coe_lmul_eq_mul LinearMap.NonUnitalAlgHom.coe_lmul_eq_mul
+#align non_unital_alg_hom.coe_lmul_eq_mul NonUnitalAlgHom.coe_lmul_eq_mul
 
 theorem commute_mulLeft_right (a b : A) : Commute (mulLeft R a) (mulRight R b) := by
   ext c
@@ -162,7 +162,7 @@ variable (R A : Type _) [CommSemiring R] [Semiring A] [Algebra R A]
 the algebra.
 
 A weaker version of this for non-unital algebras exists as `NonUnitalAlgHom.mul`. -/
-def Algebra.lmul : A →ₐ[R] End R A :=
+def _root_.Algebra.lmul : A →ₐ[R] End R A :=
   { LinearMap.mul R A with
     map_one' := by
       ext a
@@ -178,14 +178,14 @@ def Algebra.lmul : A →ₐ[R] End R A :=
       intro r
       ext a
       exact (Algebra.smul_def r a).symm }
-#align algebra.lmul LinearMap.Algebra.lmul
+#align algebra.lmul Algebra.lmul
 
 variable {R A}
 
 @[simp]
-theorem Algebra.coe_lmul_eq_mul : ⇑(Algebra.lmul R A) = mul R A :=
+theorem _root_.Algebra.coe_lmul_eq_mul : ⇑(Algebra.lmul R A) = mul R A :=
   rfl
-#align algebra.coe_lmul_eq_mul LinearMap.Algebra.coe_lmul_eq_mul
+#align algebra.coe_lmul_eq_mul Algebra.coe_lmul_eq_mul
 
 @[simp]
 theorem mulLeft_eq_zero_iff (a : A) : mulLeft R a = 0 ↔ a = 0 := by

@@ -22,9 +22,7 @@ in order to avoid importing `LinearAlgebra.BilinearMap` and
 -/
 
 
-open TensorProduct
-
-open Module
+open TensorProduct Module
 
 namespace LinearMap
 
@@ -63,14 +61,14 @@ def mulLeftRight (ab : A × A) : A →ₗ[R] A :=
 #align linear_map.mul_left_right LinearMap.mulLeftRight
 
 @[simp]
-theorem mulLeft_toAddMonoid_hom (a : A) : (mulLeft R a : A →+ A) = AddMonoidHom.mulLeft a :=
+theorem mulLeft_toAddMonoidHom (a : A) : (mulLeft R a : A →+ A) = AddMonoidHom.mulLeft a :=
   rfl
-#align linear_map.mul_left_to_add_monoid_hom LinearMap.mulLeft_toAddMonoid_hom
+#align linear_map.mul_left_to_add_monoid_hom LinearMap.mulLeft_toAddMonoidHom
 
 @[simp]
-theorem mulRight_toAddMonoid_hom (a : A) : (mulRight R a : A →+ A) = AddMonoidHom.mulRight a :=
+theorem mulRight_toAddMonoidHom (a : A) : (mulRight R a : A →+ A) = AddMonoidHom.mulRight a :=
   rfl
-#align linear_map.mul_right_to_add_monoid_hom LinearMap.mulRight_toAddMonoid_hom
+#align linear_map.mul_right_to_add_monoid_hom LinearMap.mulRight_toAddMonoidHom
 
 variable {R}
 
@@ -165,8 +163,7 @@ the algebra.
 
 A weaker version of this for non-unital algebras exists as `NonUnitalAlgHom.mul`. -/
 def Algebra.lmul : A →ₐ[R] End R A :=
-  { LinearMap.mul R
-      A with
+  { LinearMap.mul R A with
     map_one' := by
       ext a
       exact one_mul a