algebra.algebra.pi ⟷ Mathlib.Algebra.Algebra.Pi

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

@@ -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 Mathbin.Algebra.Algebra.Equiv
+import Algebra.Algebra.Equiv
 
 #align_import algebra.algebra.pi from "leanprover-community/mathlib"@"832f7b9162039c28b9361289c8681f155cae758f"
 

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

@@ -2,14 +2,11 @@
 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.pi
-! 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.Equiv
 
+#align_import algebra.algebra.pi from "leanprover-community/mathlib"@"832f7b9162039c28b9361289c8681f155cae758f"
+
 /-!
 # The R-algebra structure on families of R-algebras
 

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

@@ -55,16 +55,20 @@ instance algebra {r : CommSemiring R} [s : ∀ i, Semiring (f i)] [∀ i, Algebr
 #align pi.algebra Pi.algebra
 -/
 
+#print Pi.algebraMap_def /-
 theorem algebraMap_def {r : CommSemiring R} [s : ∀ i, Semiring (f i)] [∀ i, Algebra R (f i)]
     (a : R) : algebraMap R (∀ i, f i) a = fun i => algebraMap R (f i) a :=
   rfl
 #align pi.algebra_map_def Pi.algebraMap_def
+-/
 
+#print Pi.algebraMap_apply /-
 @[simp]
 theorem algebraMap_apply {r : CommSemiring R} [s : ∀ i, Semiring (f i)] [∀ i, Algebra R (f i)]
     (a : R) (i : I) : algebraMap R (∀ i, f i) a i = algebraMap R (f i) a :=
   rfl
 #align pi.algebra_map_apply Pi.algebraMap_apply
+-/
 
 -- One could also build a `Π i, R i`-algebra structure on `Π i, A i`,
 -- when each `A i` is an `R i`-algebra, although I'm not sure that it's useful.
@@ -95,17 +99,21 @@ def constAlgHom : B →ₐ[R] A → B :=
 #align pi.const_alg_hom Pi.constAlgHom
 -/
 
+#print Pi.constRingHom_eq_algebraMap /-
 /-- When `R` is commutative and permits an `algebra_map`, `pi.const_ring_hom` is equal to that
 map. -/
 @[simp]
 theorem constRingHom_eq_algebraMap : constRingHom A R = algebraMap R (A → R) :=
   rfl
 #align pi.const_ring_hom_eq_algebra_map Pi.constRingHom_eq_algebraMap
+-/
 
+#print Pi.constAlgHom_eq_algebra_ofId /-
 @[simp]
 theorem constAlgHom_eq_algebra_ofId : constAlgHom R A R = Algebra.ofId R (A → R) :=
   rfl
 #align pi.const_alg_hom_eq_algebra_of_id Pi.constAlgHom_eq_algebra_ofId
+-/
 
 end Pi
 
@@ -161,20 +169,25 @@ def piCongrRight {R ι : Type _} {A₁ A₂ : ι → Type _} [CommSemiring R] [
 #align alg_equiv.Pi_congr_right AlgEquiv.piCongrRight
 -/
 
+#print AlgEquiv.piCongrRight_refl /-
 @[simp]
 theorem piCongrRight_refl {R ι : Type _} {A : ι → Type _} [CommSemiring R] [∀ i, Semiring (A i)]
     [∀ i, Algebra R (A i)] :
     (piCongrRight fun i => (AlgEquiv.refl : A i ≃ₐ[R] A i)) = AlgEquiv.refl :=
   rfl
 #align alg_equiv.Pi_congr_right_refl AlgEquiv.piCongrRight_refl
+-/
 
+#print AlgEquiv.piCongrRight_symm /-
 @[simp]
 theorem piCongrRight_symm {R ι : Type _} {A₁ A₂ : ι → Type _} [CommSemiring R]
     [∀ i, Semiring (A₁ i)] [∀ i, Semiring (A₂ i)] [∀ i, Algebra R (A₁ i)] [∀ i, Algebra R (A₂ i)]
     (e : ∀ i, A₁ i ≃ₐ[R] A₂ i) : (piCongrRight e).symm = piCongrRight fun i => (e i).symm :=
   rfl
 #align alg_equiv.Pi_congr_right_symm AlgEquiv.piCongrRight_symm
+-/
 
+#print AlgEquiv.piCongrRight_trans /-
 @[simp]
 theorem piCongrRight_trans {R ι : Type _} {A₁ A₂ A₃ : ι → Type _} [CommSemiring R]
     [∀ i, Semiring (A₁ i)] [∀ i, Semiring (A₂ i)] [∀ i, Semiring (A₃ i)] [∀ i, Algebra R (A₁ i)]
@@ -183,6 +196,7 @@ theorem piCongrRight_trans {R ι : Type _} {A₁ A₂ A₃ : ι → Type _} [Com
     (piCongrRight e₁).trans (piCongrRight e₂) = piCongrRight fun i => (e₁ i).trans (e₂ i) :=
   rfl
 #align alg_equiv.Pi_congr_right_trans AlgEquiv.piCongrRight_trans
+-/
 
 end AlgEquiv
 

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

@@ -55,23 +55,11 @@ instance algebra {r : CommSemiring R} [s : ∀ i, Semiring (f i)] [∀ i, Algebr
 #align pi.algebra Pi.algebra
 -/
 
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 theorem algebraMap_def {r : CommSemiring R} [s : ∀ i, Semiring (f i)] [∀ i, Algebra R (f i)]
     (a : R) : algebraMap R (∀ i, f i) a = fun i => algebraMap R (f i) a :=
   rfl
 #align pi.algebra_map_def Pi.algebraMap_def
 
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 @[simp]
 theorem algebraMap_apply {r : CommSemiring R} [s : ∀ i, Semiring (f i)] [∀ i, Algebra R (f i)]
     (a : R) (i : I) : algebraMap R (∀ i, f i) a i = algebraMap R (f i) a :=
@@ -107,12 +95,6 @@ def constAlgHom : B →ₐ[R] A → B :=
 #align pi.const_alg_hom Pi.constAlgHom
 -/
 
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 /-- When `R` is commutative and permits an `algebra_map`, `pi.const_ring_hom` is equal to that
 map. -/
 @[simp]
@@ -120,12 +102,6 @@ theorem constRingHom_eq_algebraMap : constRingHom A R = algebraMap R (A → R) :
   rfl
 #align pi.const_ring_hom_eq_algebra_map Pi.constRingHom_eq_algebraMap
 
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 @[simp]
 theorem constAlgHom_eq_algebra_ofId : constAlgHom R A R = Algebra.ofId R (A → R) :=
   rfl
@@ -185,12 +161,6 @@ def piCongrRight {R ι : Type _} {A₁ A₂ : ι → Type _} [CommSemiring R] [
 #align alg_equiv.Pi_congr_right AlgEquiv.piCongrRight
 -/
 
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 @[simp]
 theorem piCongrRight_refl {R ι : Type _} {A : ι → Type _} [CommSemiring R] [∀ i, Semiring (A i)]
     [∀ i, Algebra R (A i)] :
@@ -198,12 +168,6 @@ theorem piCongrRight_refl {R ι : Type _} {A : ι → Type _} [CommSemiring R] [
   rfl
 #align alg_equiv.Pi_congr_right_refl AlgEquiv.piCongrRight_refl
 
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 @[simp]
 theorem piCongrRight_symm {R ι : Type _} {A₁ A₂ : ι → Type _} [CommSemiring R]
     [∀ i, Semiring (A₁ i)] [∀ i, Semiring (A₂ i)] [∀ i, Algebra R (A₁ i)] [∀ i, Algebra R (A₂ i)]
@@ -211,12 +175,6 @@ theorem piCongrRight_symm {R ι : Type _} {A₁ A₂ : ι → Type _} [CommSemir
   rfl
 #align alg_equiv.Pi_congr_right_symm AlgEquiv.piCongrRight_symm
 
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 @[simp]
 theorem piCongrRight_trans {R ι : Type _} {A₁ A₂ A₃ : ι → Type _} [CommSemiring R]
     [∀ i, Semiring (A₁ i)] [∀ i, Semiring (A₂ i)] [∀ i, Semiring (A₃ i)] [∀ i, Algebra R (A₁ i)]

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

@@ -157,9 +157,7 @@ variable [Algebra R A] [Algebra R B]
 protected def compLeft (f : A →ₐ[R] B) (I : Type _) : (I → A) →ₐ[R] I → B :=
   { f.toRingHom.compLeft I with
     toFun := fun h => f ∘ h
-    commutes' := fun c => by
-      ext
-      exact f.commutes' c }
+    commutes' := fun c => by ext; exact f.commutes' c }
 #align alg_hom.comp_left AlgHom.compLeft
 -/
 
@@ -183,9 +181,7 @@ def piCongrRight {R ι : Type _} {A₁ A₂ : ι → Type _} [CommSemiring R] [
       (e i).toRingEquiv with
     toFun := fun x j => e j (x j)
     invFun := fun x j => (e j).symm (x j)
-    commutes' := fun r => by
-      ext i
-      simp }
+    commutes' := fun r => by ext i; simp }
 #align alg_equiv.Pi_congr_right AlgEquiv.piCongrRight
 -/
 

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

@@ -59,7 +59,7 @@ instance algebra {r : CommSemiring R} [s : ∀ i, Semiring (f i)] [∀ i, Algebr
 lean 3 declaration is
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 but is expected to have type
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(NonUnitalNonAssocSemiring.toMul.{u3} (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)) (RingHom.instRingHomClassRingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))))) (algebraMap.{u1, u3} R (f i) r (s i) (_inst_1 i)) a)
+  forall (I : Type.{u2}) {R : Type.{u1}} (f : I -> Type.{u3}) {r : CommSemiring.{u1} R} [s : forall (i : I), Semiring.{u3} (f i)] [_inst_1 : forall (i : I), Algebra.{u1, u3} R (f i) r (s i)] (a : R), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => forall (i : I), f i) a) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, max (succ u2) (succ u3)} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => forall (i : I), f i) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))) (RingHom.instRingHomClassRingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))))) (algebraMap.{u1, max u2 u3} R (forall (i : I), f i) r (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)) (Pi.algebra.{u2, u3, u1} I R (fun (i : I) => f i) r (fun (i : I) => s i) (fun (i : I) => _inst_1 i))) a) (fun (i : I) => FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => f i) _x) (MulHomClass.toFunLike.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{u3} (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)) (RingHom.instRingHomClassRingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))))) (algebraMap.{u1, u3} R (f i) r (s i) (_inst_1 i)) a)
 Case conversion may be inaccurate. Consider using '#align pi.algebra_map_def Pi.algebraMap_defₓ'. -/
 theorem algebraMap_def {r : CommSemiring R} [s : ∀ i, Semiring (f i)] [∀ i, Algebra R (f i)]
     (a : R) : algebraMap R (∀ i, f i) a = fun i => algebraMap R (f i) a :=
@@ -70,7 +70,7 @@ theorem algebraMap_def {r : CommSemiring R} [s : ∀ i, Semiring (f i)] [∀ i,
 lean 3 declaration is
   forall (I : Type.{u1}) {R : Type.{u3}} (f : I -> Type.{u2}) {r : CommSemiring.{u3} R} [s : forall (i : I), Semiring.{u2} (f i)] [_inst_1 : forall (i : I), Algebra.{u3, u2} R (f i) r (s i)] (a : R) (i : I), Eq.{succ u2} (f i) (coeFn.{max (succ u3) (succ (max u1 u2)), max (succ u3) (succ (max u1 u2))} (RingHom.{u3, max u1 u2} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{max u1 u2} (forall (i : I), f i) (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)))) (fun (_x : RingHom.{u3, max u1 u2} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{max u1 u2} (forall (i : I), f i) (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)))) => R -> (forall (i : I), f i)) (RingHom.hasCoeToFun.{u3, max u1 u2} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{max u1 u2} (forall (i : I), f i) (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)))) (algebraMap.{u3, max u1 u2} R (forall (i : I), f i) r (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)) (Pi.algebra.{u1, u2, u3} I R (fun (i : I) => f i) r (fun (i : I) => s i) (fun (i : I) => _inst_1 i))) a i) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (RingHom.{u3, u2} R (f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{u2} (f i) (s i))) (fun (_x : RingHom.{u3, u2} R (f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{u2} (f i) (s i))) => R -> (f i)) (RingHom.hasCoeToFun.{u3, u2} R (f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{u2} (f i) (s i))) (algebraMap.{u3, u2} R (f i) r (s i) (_inst_1 i)) a)
 but is expected to have type
-  forall (I : Type.{u2}) {R : Type.{u1}} (f : I -> Type.{u3}) {r : CommSemiring.{u1} R} [s : forall (i : I), Semiring.{u3} (f i)] [_inst_1 : forall (i : I), Algebra.{u1, u3} R (f i) r (s i)] (a : R) (i : I), Eq.{succ u3} (f i) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, max (succ u2) (succ u3)} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => forall (i : I), f i) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))) (RingHom.instRingHomClassRingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))))) (algebraMap.{u1, max u2 u3} R (forall (i : I), f i) r (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)) (Pi.algebra.{u2, u3, u1} I R (fun (i : I) => f i) r (fun (i : I) => s i) (fun (i : I) => _inst_1 i))) a i) (FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => f i) _x) (MulHomClass.toFunLike.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{u3} (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)) (RingHom.instRingHomClassRingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))))) (algebraMap.{u1, u3} R (f i) r (s i) (_inst_1 i)) a)
+  forall (I : Type.{u2}) {R : Type.{u1}} (f : I -> Type.{u3}) {r : CommSemiring.{u1} R} [s : forall (i : I), Semiring.{u3} (f i)] [_inst_1 : forall (i : I), Algebra.{u1, u3} R (f i) r (s i)] (a : R) (i : I), Eq.{succ u3} (f i) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, max (succ u2) (succ u3)} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => forall (i : I), f i) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))) (RingHom.instRingHomClassRingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))))) (algebraMap.{u1, max u2 u3} R (forall (i : I), f i) r (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)) (Pi.algebra.{u2, u3, u1} I R (fun (i : I) => f i) r (fun (i : I) => s i) (fun (i : I) => _inst_1 i))) a i) (FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => f i) _x) (MulHomClass.toFunLike.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{u3} (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)) (RingHom.instRingHomClassRingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))))) (algebraMap.{u1, u3} R (f i) r (s i) (_inst_1 i)) a)
 Case conversion may be inaccurate. Consider using '#align pi.algebra_map_apply Pi.algebraMap_applyₓ'. -/
 @[simp]
 theorem algebraMap_apply {r : CommSemiring R} [s : ∀ i, Semiring (f i)] [∀ i, Algebra R (f i)]

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

@@ -59,7 +59,7 @@ instance algebra {r : CommSemiring R} [s : ∀ i, Semiring (f i)] [∀ i, Algebr
 lean 3 declaration is
   forall (I : Type.{u1}) {R : Type.{u3}} (f : I -> Type.{u2}) {r : CommSemiring.{u3} R} [s : forall (i : I), Semiring.{u2} (f i)] [_inst_1 : forall (i : I), Algebra.{u3, u2} R (f i) r (s i)] (a : R), Eq.{max (succ u1) (succ u2)} (forall (i : I), f i) (coeFn.{max (succ u3) (succ (max u1 u2)), max (succ u3) (succ (max u1 u2))} (RingHom.{u3, max u1 u2} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{max u1 u2} (forall (i : I), f i) (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)))) (fun (_x : RingHom.{u3, max u1 u2} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{max u1 u2} (forall (i : I), f i) (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)))) => R -> (forall (i : I), f i)) (RingHom.hasCoeToFun.{u3, max u1 u2} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{max u1 u2} (forall (i : I), f i) (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)))) (algebraMap.{u3, max u1 u2} R (forall (i : I), f i) r (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)) (Pi.algebra.{u1, u2, u3} I R (fun (i : I) => f i) r (fun (i : I) => s i) (fun (i : I) => _inst_1 i))) a) (fun (i : I) => coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (RingHom.{u3, u2} R (f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{u2} (f i) (s i))) (fun (_x : RingHom.{u3, u2} R (f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{u2} (f i) (s i))) => R -> (f i)) (RingHom.hasCoeToFun.{u3, u2} R (f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{u2} (f i) (s i))) (algebraMap.{u3, u2} R (f i) r (s i) (_inst_1 i)) a)
 but is expected to have type
-  forall (I : Type.{u2}) {R : Type.{u1}} (f : I -> Type.{u3}) {r : CommSemiring.{u1} R} [s : forall (i : I), Semiring.{u3} (f i)] [_inst_1 : forall (i : I), Algebra.{u1, u3} R (f i) r (s i)] (a : R), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => forall (i : I), f i) a) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, max (succ u2) (succ u3)} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => forall (i : I), f i) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))) (RingHom.instRingHomClassRingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))))) (algebraMap.{u1, max u2 u3} R (forall (i : I), f i) r (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)) (Pi.algebra.{u2, u3, u1} I R (fun (i : I) => f i) r (fun (i : I) => s i) (fun (i : I) => _inst_1 i))) a) (fun (i : I) => FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => f i) _x) (MulHomClass.toFunLike.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{u3} (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)) (RingHom.instRingHomClassRingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))))) (algebraMap.{u1, u3} R (f i) r (s i) (_inst_1 i)) a)
+  forall (I : Type.{u2}) {R : Type.{u1}} (f : I -> Type.{u3}) {r : CommSemiring.{u1} R} [s : forall (i : I), Semiring.{u3} (f i)] [_inst_1 : forall (i : I), Algebra.{u1, u3} R (f i) r (s i)] (a : R), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => forall (i : I), f i) a) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, max (succ u2) (succ u3)} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => forall (i : I), f i) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))) (RingHom.instRingHomClassRingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))))) (algebraMap.{u1, max u2 u3} R (forall (i : I), f i) r (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)) (Pi.algebra.{u2, u3, u1} I R (fun (i : I) => f i) r (fun (i : I) => s i) (fun (i : I) => _inst_1 i))) a) (fun (i : I) => FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => f i) _x) (MulHomClass.toFunLike.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{u3} (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)) (RingHom.instRingHomClassRingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))))) (algebraMap.{u1, u3} R (f i) r (s i) (_inst_1 i)) a)
 Case conversion may be inaccurate. Consider using '#align pi.algebra_map_def Pi.algebraMap_defₓ'. -/
 theorem algebraMap_def {r : CommSemiring R} [s : ∀ i, Semiring (f i)] [∀ i, Algebra R (f i)]
     (a : R) : algebraMap R (∀ i, f i) a = fun i => algebraMap R (f i) a :=
@@ -70,7 +70,7 @@ theorem algebraMap_def {r : CommSemiring R} [s : ∀ i, Semiring (f i)] [∀ i,
 lean 3 declaration is
   forall (I : Type.{u1}) {R : Type.{u3}} (f : I -> Type.{u2}) {r : CommSemiring.{u3} R} [s : forall (i : I), Semiring.{u2} (f i)] [_inst_1 : forall (i : I), Algebra.{u3, u2} R (f i) r (s i)] (a : R) (i : I), Eq.{succ u2} (f i) (coeFn.{max (succ u3) (succ (max u1 u2)), max (succ u3) (succ (max u1 u2))} (RingHom.{u3, max u1 u2} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{max u1 u2} (forall (i : I), f i) (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)))) (fun (_x : RingHom.{u3, max u1 u2} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{max u1 u2} (forall (i : I), f i) (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)))) => R -> (forall (i : I), f i)) (RingHom.hasCoeToFun.{u3, max u1 u2} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{max u1 u2} (forall (i : I), f i) (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)))) (algebraMap.{u3, max u1 u2} R (forall (i : I), f i) r (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)) (Pi.algebra.{u1, u2, u3} I R (fun (i : I) => f i) r (fun (i : I) => s i) (fun (i : I) => _inst_1 i))) a i) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (RingHom.{u3, u2} R (f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{u2} (f i) (s i))) (fun (_x : RingHom.{u3, u2} R (f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{u2} (f i) (s i))) => R -> (f i)) (RingHom.hasCoeToFun.{u3, u2} R (f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{u2} (f i) (s i))) (algebraMap.{u3, u2} R (f i) r (s i) (_inst_1 i)) a)
 but is expected to have type
-  forall (I : Type.{u2}) {R : Type.{u1}} (f : I -> Type.{u3}) {r : CommSemiring.{u1} R} [s : forall (i : I), Semiring.{u3} (f i)] [_inst_1 : forall (i : I), Algebra.{u1, u3} R (f i) r (s i)] (a : R) (i : I), Eq.{succ u3} (f i) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, max (succ u2) (succ u3)} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => forall (i : I), f i) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))) (RingHom.instRingHomClassRingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))))) (algebraMap.{u1, max u2 u3} R (forall (i : I), f i) r (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)) (Pi.algebra.{u2, u3, u1} I R (fun (i : I) => f i) r (fun (i : I) => s i) (fun (i : I) => _inst_1 i))) a i) (FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => f i) _x) (MulHomClass.toFunLike.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{u3} (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)) (RingHom.instRingHomClassRingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))))) (algebraMap.{u1, u3} R (f i) r (s i) (_inst_1 i)) a)
+  forall (I : Type.{u2}) {R : Type.{u1}} (f : I -> Type.{u3}) {r : CommSemiring.{u1} R} [s : forall (i : I), Semiring.{u3} (f i)] [_inst_1 : forall (i : I), Algebra.{u1, u3} R (f i) r (s i)] (a : R) (i : I), Eq.{succ u3} (f i) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, max (succ u2) (succ u3)} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => forall (i : I), f i) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))) (RingHom.instRingHomClassRingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))))) (algebraMap.{u1, max u2 u3} R (forall (i : I), f i) r (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)) (Pi.algebra.{u2, u3, u1} I R (fun (i : I) => f i) r (fun (i : I) => s i) (fun (i : I) => _inst_1 i))) a i) (FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => f i) _x) (MulHomClass.toFunLike.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{u3} (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)) (RingHom.instRingHomClassRingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))))) (algebraMap.{u1, u3} R (f i) r (s i) (_inst_1 i)) a)
 Case conversion may be inaccurate. Consider using '#align pi.algebra_map_apply Pi.algebraMap_applyₓ'. -/
 @[simp]
 theorem algebraMap_apply {r : CommSemiring R} [s : ∀ i, Semiring (f i)] [∀ i, Algebra R (f i)]

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

@@ -59,7 +59,7 @@ instance algebra {r : CommSemiring R} [s : ∀ i, Semiring (f i)] [∀ i, Algebr
 lean 3 declaration is
   forall (I : Type.{u1}) {R : Type.{u3}} (f : I -> Type.{u2}) {r : CommSemiring.{u3} R} [s : forall (i : I), Semiring.{u2} (f i)] [_inst_1 : forall (i : I), Algebra.{u3, u2} R (f i) r (s i)] (a : R), Eq.{max (succ u1) (succ u2)} (forall (i : I), f i) (coeFn.{max (succ u3) (succ (max u1 u2)), max (succ u3) (succ (max u1 u2))} (RingHom.{u3, max u1 u2} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{max u1 u2} (forall (i : I), f i) (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)))) (fun (_x : RingHom.{u3, max u1 u2} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{max u1 u2} (forall (i : I), f i) (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)))) => R -> (forall (i : I), f i)) (RingHom.hasCoeToFun.{u3, max u1 u2} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{max u1 u2} (forall (i : I), f i) (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)))) (algebraMap.{u3, max u1 u2} R (forall (i : I), f i) r (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)) (Pi.algebra.{u1, u2, u3} I R (fun (i : I) => f i) r (fun (i : I) => s i) (fun (i : I) => _inst_1 i))) a) (fun (i : I) => coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (RingHom.{u3, u2} R (f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{u2} (f i) (s i))) (fun (_x : RingHom.{u3, u2} R (f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{u2} (f i) (s i))) => R -> (f i)) (RingHom.hasCoeToFun.{u3, u2} R (f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{u2} (f i) (s i))) (algebraMap.{u3, u2} R (f i) r (s i) (_inst_1 i)) a)
 but is expected to have type
-  forall (I : Type.{u2}) {R : Type.{u1}} (f : I -> Type.{u3}) {r : CommSemiring.{u1} R} [s : forall (i : I), Semiring.{u3} (f i)] [_inst_1 : forall (i : I), Algebra.{u1, u3} R (f i) r (s i)] (a : R), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => forall (i : I), f i) a) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, max (succ u2) (succ u3)} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => forall (i : I), f i) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))) (RingHom.instRingHomClassRingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))))) (algebraMap.{u1, max u2 u3} R (forall (i : I), f i) r (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)) (Pi.algebra.{u2, u3, u1} I R (fun (i : I) => f i) r (fun (i : I) => s i) (fun (i : I) => _inst_1 i))) a) (fun (i : I) => FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => f i) _x) (MulHomClass.toFunLike.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{u3} (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)) (RingHom.instRingHomClassRingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))))) (algebraMap.{u1, u3} R (f i) r (s i) (_inst_1 i)) a)
+  forall (I : Type.{u2}) {R : Type.{u1}} (f : I -> Type.{u3}) {r : CommSemiring.{u1} R} [s : forall (i : I), Semiring.{u3} (f i)] [_inst_1 : forall (i : I), Algebra.{u1, u3} R (f i) r (s i)] (a : R), Eq.{max (succ u2) (succ u3)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => forall (i : I), f i) a) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, max (succ u2) (succ u3)} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => forall (i : I), f i) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))) (RingHom.instRingHomClassRingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))))) (algebraMap.{u1, max u2 u3} R (forall (i : I), f i) r (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)) (Pi.algebra.{u2, u3, u1} I R (fun (i : I) => f i) r (fun (i : I) => s i) (fun (i : I) => _inst_1 i))) a) (fun (i : I) => FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => f i) _x) (MulHomClass.toFunLike.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{u3} (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)) (RingHom.instRingHomClassRingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))))) (algebraMap.{u1, u3} R (f i) r (s i) (_inst_1 i)) a)
 Case conversion may be inaccurate. Consider using '#align pi.algebra_map_def Pi.algebraMap_defₓ'. -/
 theorem algebraMap_def {r : CommSemiring R} [s : ∀ i, Semiring (f i)] [∀ i, Algebra R (f i)]
     (a : R) : algebraMap R (∀ i, f i) a = fun i => algebraMap R (f i) a :=
@@ -70,7 +70,7 @@ theorem algebraMap_def {r : CommSemiring R} [s : ∀ i, Semiring (f i)] [∀ i,
 lean 3 declaration is
   forall (I : Type.{u1}) {R : Type.{u3}} (f : I -> Type.{u2}) {r : CommSemiring.{u3} R} [s : forall (i : I), Semiring.{u2} (f i)] [_inst_1 : forall (i : I), Algebra.{u3, u2} R (f i) r (s i)] (a : R) (i : I), Eq.{succ u2} (f i) (coeFn.{max (succ u3) (succ (max u1 u2)), max (succ u3) (succ (max u1 u2))} (RingHom.{u3, max u1 u2} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{max u1 u2} (forall (i : I), f i) (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)))) (fun (_x : RingHom.{u3, max u1 u2} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{max u1 u2} (forall (i : I), f i) (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)))) => R -> (forall (i : I), f i)) (RingHom.hasCoeToFun.{u3, max u1 u2} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{max u1 u2} (forall (i : I), f i) (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)))) (algebraMap.{u3, max u1 u2} R (forall (i : I), f i) r (Pi.semiring.{u1, u2} I (fun (i : I) => f i) (fun (i : I) => s i)) (Pi.algebra.{u1, u2, u3} I R (fun (i : I) => f i) r (fun (i : I) => s i) (fun (i : I) => _inst_1 i))) a i) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (RingHom.{u3, u2} R (f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{u2} (f i) (s i))) (fun (_x : RingHom.{u3, u2} R (f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{u2} (f i) (s i))) => R -> (f i)) (RingHom.hasCoeToFun.{u3, u2} R (f i) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R r)) (Semiring.toNonAssocSemiring.{u2} (f i) (s i))) (algebraMap.{u3, u2} R (f i) r (s i) (_inst_1 i)) a)
 but is expected to have type
-  forall (I : Type.{u2}) {R : Type.{u1}} (f : I -> Type.{u3}) {r : CommSemiring.{u1} R} [s : forall (i : I), Semiring.{u3} (f i)] [_inst_1 : forall (i : I), Algebra.{u1, u3} R (f i) r (s i)] (a : R) (i : I), Eq.{succ u3} (f i) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, max (succ u2) (succ u3)} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => forall (i : I), f i) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))) (RingHom.instRingHomClassRingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))))) (algebraMap.{u1, max u2 u3} R (forall (i : I), f i) r (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)) (Pi.algebra.{u2, u3, u1} I R (fun (i : I) => f i) r (fun (i : I) => s i) (fun (i : I) => _inst_1 i))) a i) (FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => f i) _x) (MulHomClass.toFunLike.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{u3} (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)) (RingHom.instRingHomClassRingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))))) (algebraMap.{u1, u3} R (f i) r (s i) (_inst_1 i)) a)
+  forall (I : Type.{u2}) {R : Type.{u1}} (f : I -> Type.{u3}) {r : CommSemiring.{u1} R} [s : forall (i : I), Semiring.{u3} (f i)] [_inst_1 : forall (i : I), Algebra.{u1, u3} R (f i) r (s i)] (a : R) (i : I), Eq.{succ u3} (f i) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, max (succ u2) (succ u3)} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => forall (i : I), f i) _x) (MulHomClass.toFunLike.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{max u2 u3} (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))) (NonUnitalRingHomClass.toMulHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) (RingHomClass.toNonUnitalRingHomClass.{max (max u2 u3) u1, u1, max u2 u3} (RingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)))) R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))) (RingHom.instRingHomClassRingHom.{u1, max u2 u3} R (forall (i : I), f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{max u2 u3} (forall (i : I), f i) (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i))))))) (algebraMap.{u1, max u2 u3} R (forall (i : I), f i) r (Pi.semiring.{u2, u3} I (fun (i : I) => f i) (fun (i : I) => s i)) (Pi.algebra.{u2, u3, u1} I R (fun (i : I) => f i) r (fun (i : I) => s i) (fun (i : I) => _inst_1 i))) a i) (FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => f i) _x) (MulHomClass.toFunLike.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)))) (NonUnitalNonAssocSemiring.toMul.{u3} (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} (f i) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u1, u3} (RingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i))) R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)) (RingHom.instRingHomClassRingHom.{u1, u3} R (f i) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R r)) (Semiring.toNonAssocSemiring.{u3} (f i) (s i)))))) (algebraMap.{u1, u3} R (f i) r (s i) (_inst_1 i)) a)
 Case conversion may be inaccurate. Consider using '#align pi.algebra_map_apply Pi.algebraMap_applyₓ'. -/
 @[simp]
 theorem algebraMap_apply {r : CommSemiring R} [s : ∀ i, Semiring (f i)] [∀ i, Algebra R (f i)]

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.pi
-! leanprover-community/mathlib commit b16045e4bf61c6fd619a1a68854ab3d605dcd017
+! leanprover-community/mathlib commit 832f7b9162039c28b9361289c8681f155cae758f
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.Algebra.Algebra.Equiv
 /-!
 # The R-algebra structure on families of R-algebras
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 The R-algebra structure on `Π i : I, A i` when each `A i` is an R-algebra.
 
 ## Main defintions