bump to nightly-2023-05-03-14

mathlib commit leanprover-community/mathlib@36b8aa6

Mathbin/Algebra/Algebra/Basic.lean

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