algebra.monoid_algebra.to_direct_sum | Mathlib porting status

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

c0a51cf2

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

1b0a28e1

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -5,7 +5,7 @@ Authors: Eric Wieser
 -/
 import Algebra.DirectSum.Algebra
 import Algebra.MonoidAlgebra.Basic
-import Data.Finsupp.ToDfinsupp
+import Data.Finsupp.ToDFinsupp
 
 #align_import algebra.monoid_algebra.to_direct_sum from "leanprover-community/mathlib"@"1b0a28e1c93409dbf6d69526863cd9984ef652ce"

1b0a28e1

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,9 +3,9 @@ Copyright (c) 2021 Eric Wieser. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
 -/
-import Mathbin.Algebra.DirectSum.Algebra
-import Mathbin.Algebra.MonoidAlgebra.Basic
-import Mathbin.Data.Finsupp.ToDfinsupp
+import Algebra.DirectSum.Algebra
+import Algebra.MonoidAlgebra.Basic
+import Data.Finsupp.ToDfinsupp
 
 #align_import algebra.monoid_algebra.to_direct_sum from "leanprover-community/mathlib"@"1b0a28e1c93409dbf6d69526863cd9984ef652ce"

1b0a28e1

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2021 Eric Wieser. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
-
-! This file was ported from Lean 3 source module algebra.monoid_algebra.to_direct_sum
-! leanprover-community/mathlib commit 1b0a28e1c93409dbf6d69526863cd9984ef652ce
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.DirectSum.Algebra
 import Mathbin.Algebra.MonoidAlgebra.Basic
 import Mathbin.Data.Finsupp.ToDfinsupp
 
+#align_import algebra.monoid_algebra.to_direct_sum from "leanprover-community/mathlib"@"1b0a28e1c93409dbf6d69526863cd9984ef652ce"
+
 /-!
 # Conversion between `add_monoid_algebra` and homogenous `direct_sum`

1b0a28e1

bump to nightly-2023-07-12-07

mathlib commit https://github.com/leanprover-community/mathlib/commit/4e24c4bfcff371c71f7ba22050308aa17815626c

9849f9d1

Diff

@@ -75,7 +75,7 @@ section Defs
 #print AddMonoidAlgebra.toDirectSum /-
 /-- Interpret a `add_monoid_algebra` as a homogenous `direct_sum`. -/
 def AddMonoidAlgebra.toDirectSum [Semiring M] (f : AddMonoidAlgebra M ι) : ⨁ i : ι, M :=
-  Finsupp.toDfinsupp f
+  Finsupp.toDFinsupp f
 #align add_monoid_algebra.to_direct_sum AddMonoidAlgebra.toDirectSum
 -/
 
@@ -87,7 +87,7 @@ variable [DecidableEq ι] [Semiring M]
 @[simp]
 theorem AddMonoidAlgebra.toDirectSum_single (i : ι) (m : M) :
     AddMonoidAlgebra.toDirectSum (Finsupp.single i m) = DirectSum.of _ i m :=
-  Finsupp.toDfinsupp_single i m
+  Finsupp.toDFinsupp_single i m
 #align add_monoid_algebra.to_direct_sum_single AddMonoidAlgebra.toDirectSum_single
 -/
 
@@ -96,7 +96,7 @@ variable [∀ m : M, Decidable (m ≠ 0)]
 #print DirectSum.toAddMonoidAlgebra /-
 /-- Interpret a homogenous `direct_sum` as a `add_monoid_algebra`. -/
 def DirectSum.toAddMonoidAlgebra (f : ⨁ i : ι, M) : AddMonoidAlgebra M ι :=
-  Dfinsupp.toFinsupp f
+  DFinsupp.toFinsupp f
 #align direct_sum.to_add_monoid_algebra DirectSum.toAddMonoidAlgebra
 -/
 
@@ -104,7 +104,7 @@ def DirectSum.toAddMonoidAlgebra (f : ⨁ i : ι, M) : AddMonoidAlgebra M ι :=
 @[simp]
 theorem DirectSum.toAddMonoidAlgebra_of (i : ι) (m : M) :
     (DirectSum.of _ i m : ⨁ i : ι, M).toAddMonoidAlgebra = Finsupp.single i m :=
-  Dfinsupp.toFinsupp_single i m
+  DFinsupp.toFinsupp_single i m
 #align direct_sum.to_add_monoid_algebra_of DirectSum.toAddMonoidAlgebra_of
 -/
 
@@ -112,7 +112,7 @@ theorem DirectSum.toAddMonoidAlgebra_of (i : ι) (m : M) :
 @[simp]
 theorem AddMonoidAlgebra.toDirectSum_toAddMonoidAlgebra (f : AddMonoidAlgebra M ι) :
     f.toDirectSum.toAddMonoidAlgebra = f :=
-  Finsupp.toDfinsupp_toFinsupp f
+  Finsupp.toDFinsupp_toFinsupp f
 #align add_monoid_algebra.to_direct_sum_to_add_monoid_algebra AddMonoidAlgebra.toDirectSum_toAddMonoidAlgebra
 -/
 
@@ -120,7 +120,7 @@ theorem AddMonoidAlgebra.toDirectSum_toAddMonoidAlgebra (f : AddMonoidAlgebra M
 @[simp]
 theorem DirectSum.toAddMonoidAlgebra_toDirectSum (f : ⨁ i : ι, M) :
     f.toAddMonoidAlgebra.toDirectSum = f :=
-  Dfinsupp.toFinsupp_toDfinsupp f
+  DFinsupp.toFinsupp_toDFinsupp f
 #align direct_sum.to_add_monoid_algebra_to_direct_sum DirectSum.toAddMonoidAlgebra_toDirectSum
 -/
 
@@ -138,7 +138,7 @@ namespace AddMonoidAlgebra
 #print AddMonoidAlgebra.toDirectSum_zero /-
 @[simp]
 theorem toDirectSum_zero [Semiring M] : (0 : AddMonoidAlgebra M ι).toDirectSum = 0 :=
-  Finsupp.toDfinsupp_zero
+  Finsupp.toDFinsupp_zero
 #align add_monoid_algebra.to_direct_sum_zero AddMonoidAlgebra.toDirectSum_zero
 -/
 
@@ -146,7 +146,7 @@ theorem toDirectSum_zero [Semiring M] : (0 : AddMonoidAlgebra M ι).toDirectSum
 @[simp]
 theorem toDirectSum_add [Semiring M] (f g : AddMonoidAlgebra M ι) :
     (f + g).toDirectSum = f.toDirectSum + g.toDirectSum :=
-  Finsupp.toDfinsupp_add _ _
+  Finsupp.toDFinsupp_add _ _
 #align add_monoid_algebra.to_direct_sum_add AddMonoidAlgebra.toDirectSum_add
 -/
 
@@ -178,7 +178,7 @@ variable [DecidableEq ι]
 @[simp]
 theorem toAddMonoidAlgebra_zero [Semiring M] [∀ m : M, Decidable (m ≠ 0)] :
     toAddMonoidAlgebra 0 = (0 : AddMonoidAlgebra M ι) :=
-  Dfinsupp.toFinsupp_zero
+  DFinsupp.toFinsupp_zero
 #align direct_sum.to_add_monoid_algebra_zero DirectSum.toAddMonoidAlgebra_zero
 -/
 
@@ -186,7 +186,7 @@ theorem toAddMonoidAlgebra_zero [Semiring M] [∀ m : M, Decidable (m ≠ 0)] :
 @[simp]
 theorem toAddMonoidAlgebra_add [Semiring M] [∀ m : M, Decidable (m ≠ 0)] (f g : ⨁ i : ι, M) :
     (f + g).toAddMonoidAlgebra = toAddMonoidAlgebra f + toAddMonoidAlgebra g :=
-  Dfinsupp.toFinsupp_add _ _
+  DFinsupp.toFinsupp_add _ _
 #align direct_sum.to_add_monoid_algebra_add DirectSum.toAddMonoidAlgebra_add
 -/
 
@@ -217,7 +217,7 @@ equiv. -/
 @[simps (config := { fullyApplied := false })]
 def addMonoidAlgebraEquivDirectSum [DecidableEq ι] [Semiring M] [∀ m : M, Decidable (m ≠ 0)] :
     AddMonoidAlgebra M ι ≃ ⨁ i : ι, M :=
-  { finsuppEquivDfinsupp with
+  { finsuppEquivDFinsupp with
     toFun := AddMonoidAlgebra.toDirectSum
     invFun := DirectSum.toAddMonoidAlgebra }
 #align add_monoid_algebra_equiv_direct_sum addMonoidAlgebraEquivDirectSum

1b0a28e1

bump to nightly-2023-06-20-01

mathlib commit https://github.com/leanprover-community/mathlib/commit/2a0ce625dbb0ffbc7d1316597de0b25c1ec75303

9b351f8c

Diff

@@ -160,7 +160,7 @@ theorem toDirectSum_mul [DecidableEq ι] [AddMonoid ι] [Semiring M] (f g : AddM
   show to_hom (f * g) = to_hom f * to_hom g
   revert f g
   rw [AddMonoidHom.map_mul_iff]
-  ext (xi xv yi yv) : 4
+  ext xi xv yi yv : 4
   dsimp only [AddMonoidHom.comp_apply, AddMonoidHom.compl₂_apply, AddMonoidHom.compr₂_apply,
     AddMonoidHom.mul_apply, AddEquiv.coe_toAddMonoidHom, Finsupp.singleAddHom_apply]
   simp only [AddMonoidAlgebra.single_mul_single, to_hom, AddMonoidHom.coe_mk,

1b0a28e1

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -83,36 +83,46 @@ section
 
 variable [DecidableEq ι] [Semiring M]
 
+#print AddMonoidAlgebra.toDirectSum_single /-
 @[simp]
 theorem AddMonoidAlgebra.toDirectSum_single (i : ι) (m : M) :
     AddMonoidAlgebra.toDirectSum (Finsupp.single i m) = DirectSum.of _ i m :=
   Finsupp.toDfinsupp_single i m
 #align add_monoid_algebra.to_direct_sum_single AddMonoidAlgebra.toDirectSum_single
+-/
 
 variable [∀ m : M, Decidable (m ≠ 0)]
 
+#print DirectSum.toAddMonoidAlgebra /-
 /-- Interpret a homogenous `direct_sum` as a `add_monoid_algebra`. -/
 def DirectSum.toAddMonoidAlgebra (f : ⨁ i : ι, M) : AddMonoidAlgebra M ι :=
   Dfinsupp.toFinsupp f
 #align direct_sum.to_add_monoid_algebra DirectSum.toAddMonoidAlgebra
+-/
 
+#print DirectSum.toAddMonoidAlgebra_of /-
 @[simp]
 theorem DirectSum.toAddMonoidAlgebra_of (i : ι) (m : M) :
     (DirectSum.of _ i m : ⨁ i : ι, M).toAddMonoidAlgebra = Finsupp.single i m :=
   Dfinsupp.toFinsupp_single i m
 #align direct_sum.to_add_monoid_algebra_of DirectSum.toAddMonoidAlgebra_of
+-/
 
+#print AddMonoidAlgebra.toDirectSum_toAddMonoidAlgebra /-
 @[simp]
 theorem AddMonoidAlgebra.toDirectSum_toAddMonoidAlgebra (f : AddMonoidAlgebra M ι) :
     f.toDirectSum.toAddMonoidAlgebra = f :=
   Finsupp.toDfinsupp_toFinsupp f
 #align add_monoid_algebra.to_direct_sum_to_add_monoid_algebra AddMonoidAlgebra.toDirectSum_toAddMonoidAlgebra
+-/
 
+#print DirectSum.toAddMonoidAlgebra_toDirectSum /-
 @[simp]
 theorem DirectSum.toAddMonoidAlgebra_toDirectSum (f : ⨁ i : ι, M) :
     f.toAddMonoidAlgebra.toDirectSum = f :=
   Dfinsupp.toFinsupp_toDfinsupp f
 #align direct_sum.to_add_monoid_algebra_to_direct_sum DirectSum.toAddMonoidAlgebra_toDirectSum
+-/
 
 end
 
@@ -125,17 +135,22 @@ section Lemmas
 
 namespace AddMonoidAlgebra
 
+#print AddMonoidAlgebra.toDirectSum_zero /-
 @[simp]
 theorem toDirectSum_zero [Semiring M] : (0 : AddMonoidAlgebra M ι).toDirectSum = 0 :=
   Finsupp.toDfinsupp_zero
 #align add_monoid_algebra.to_direct_sum_zero AddMonoidAlgebra.toDirectSum_zero
+-/
 
+#print AddMonoidAlgebra.toDirectSum_add /-
 @[simp]
 theorem toDirectSum_add [Semiring M] (f g : AddMonoidAlgebra M ι) :
     (f + g).toDirectSum = f.toDirectSum + g.toDirectSum :=
   Finsupp.toDfinsupp_add _ _
 #align add_monoid_algebra.to_direct_sum_add AddMonoidAlgebra.toDirectSum_add
+-/
 
+#print AddMonoidAlgebra.toDirectSum_mul /-
 @[simp]
 theorem toDirectSum_mul [DecidableEq ι] [AddMonoid ι] [Semiring M] (f g : AddMonoidAlgebra M ι) :
     (f * g).toDirectSum = f.toDirectSum * g.toDirectSum :=
@@ -151,6 +166,7 @@ theorem toDirectSum_mul [DecidableEq ι] [AddMonoid ι] [Semiring M] (f g : AddM
   simp only [AddMonoidAlgebra.single_mul_single, to_hom, AddMonoidHom.coe_mk,
     AddMonoidAlgebra.toDirectSum_single, DirectSum.of_mul_of, Mul.gMul_mul]
 #align add_monoid_algebra.to_direct_sum_mul AddMonoidAlgebra.toDirectSum_mul
+-/
 
 end AddMonoidAlgebra
 
@@ -158,18 +174,23 @@ namespace DirectSum
 
 variable [DecidableEq ι]
 
+#print DirectSum.toAddMonoidAlgebra_zero /-
 @[simp]
 theorem toAddMonoidAlgebra_zero [Semiring M] [∀ m : M, Decidable (m ≠ 0)] :
     toAddMonoidAlgebra 0 = (0 : AddMonoidAlgebra M ι) :=
   Dfinsupp.toFinsupp_zero
 #align direct_sum.to_add_monoid_algebra_zero DirectSum.toAddMonoidAlgebra_zero
+-/
 
+#print DirectSum.toAddMonoidAlgebra_add /-
 @[simp]
 theorem toAddMonoidAlgebra_add [Semiring M] [∀ m : M, Decidable (m ≠ 0)] (f g : ⨁ i : ι, M) :
     (f + g).toAddMonoidAlgebra = toAddMonoidAlgebra f + toAddMonoidAlgebra g :=
   Dfinsupp.toFinsupp_add _ _
 #align direct_sum.to_add_monoid_algebra_add DirectSum.toAddMonoidAlgebra_add
+-/
 
+#print DirectSum.toAddMonoidAlgebra_mul /-
 @[simp]
 theorem toAddMonoidAlgebra_mul [AddMonoid ι] [Semiring M] [∀ m : M, Decidable (m ≠ 0)]
     (f g : ⨁ i : ι, M) : (f * g).toAddMonoidAlgebra = toAddMonoidAlgebra f * toAddMonoidAlgebra g :=
@@ -179,6 +200,7 @@ theorem toAddMonoidAlgebra_mul [AddMonoid ι] [Semiring M] [∀ m : M, Decidable
   · apply Function.LeftInverse.injective
     apply AddMonoidAlgebra.toDirectSum_toAddMonoidAlgebra
 #align direct_sum.to_add_monoid_algebra_mul DirectSum.toAddMonoidAlgebra_mul
+-/
 
 end DirectSum
 
@@ -189,6 +211,7 @@ end Lemmas
 
 section Equivs
 
+#print addMonoidAlgebraEquivDirectSum /-
 /-- `add_monoid_algebra.to_direct_sum` and `direct_sum.to_add_monoid_algebra` together form an
 equiv. -/
 @[simps (config := { fullyApplied := false })]
@@ -198,7 +221,9 @@ def addMonoidAlgebraEquivDirectSum [DecidableEq ι] [Semiring M] [∀ m : M, Dec
     toFun := AddMonoidAlgebra.toDirectSum
     invFun := DirectSum.toAddMonoidAlgebra }
 #align add_monoid_algebra_equiv_direct_sum addMonoidAlgebraEquivDirectSum
+-/
 
+#print addMonoidAlgebraAddEquivDirectSum /-
 /-- The additive version of `add_monoid_algebra.to_add_monoid_algebra`. Note that this is
 `noncomputable` because `add_monoid_algebra.has_add` is noncomputable. -/
 @[simps (config := { fullyApplied := false })]
@@ -210,7 +235,9 @@ def addMonoidAlgebraAddEquivDirectSum [DecidableEq ι] [Semiring M] [∀ m : M,
     invFun := DirectSum.toAddMonoidAlgebra
     map_add' := AddMonoidAlgebra.toDirectSum_add }
 #align add_monoid_algebra_add_equiv_direct_sum addMonoidAlgebraAddEquivDirectSum
+-/
 
+#print addMonoidAlgebraRingEquivDirectSum /-
 /-- The ring version of `add_monoid_algebra.to_add_monoid_algebra`. Note that this is
 `noncomputable` because `add_monoid_algebra.has_add` is noncomputable. -/
 @[simps (config := { fullyApplied := false })]
@@ -224,7 +251,9 @@ def addMonoidAlgebraRingEquivDirectSum [DecidableEq ι] [AddMonoid ι] [Semiring
     invFun := DirectSum.toAddMonoidAlgebra
     map_mul' := AddMonoidAlgebra.toDirectSum_mul }
 #align add_monoid_algebra_ring_equiv_direct_sum addMonoidAlgebraRingEquivDirectSum
+-/
 
+#print addMonoidAlgebraAlgEquivDirectSum /-
 /-- The algebra version of `add_monoid_algebra.to_add_monoid_algebra`. Note that this is
 `noncomputable` because `add_monoid_algebra.has_add` is noncomputable. -/
 @[simps (config := { fullyApplied := false })]
@@ -238,6 +267,7 @@ def addMonoidAlgebraAlgEquivDirectSum [DecidableEq ι] [AddMonoid ι] [CommSemir
     invFun := DirectSum.toAddMonoidAlgebra
     commutes' := fun r => AddMonoidAlgebra.toDirectSum_single _ _ }
 #align add_monoid_algebra_alg_equiv_direct_sum addMonoidAlgebraAlgEquivDirectSum
+-/
 
 end Equivs

1b0a28e1

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -65,7 +65,7 @@ still involve this definition.
 
 variable {ι : Type _} {R : Type _} {M : Type _} {A : Type _}
 
-open DirectSum
+open scoped DirectSum
 
 /-! ### Basic definitions and lemmas -/

1b0a28e1

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -83,9 +83,6 @@ section
 
 variable [DecidableEq ι] [Semiring M]
 
-/- warning: add_monoid_algebra.to_direct_sum_single -> AddMonoidAlgebra.toDirectSum_single is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align add_monoid_algebra.to_direct_sum_single AddMonoidAlgebra.toDirectSum_singleₓ'. -/
 @[simp]
 theorem AddMonoidAlgebra.toDirectSum_single (i : ι) (m : M) :
     AddMonoidAlgebra.toDirectSum (Finsupp.single i m) = DirectSum.of _ i m :=
@@ -94,44 +91,23 @@ theorem AddMonoidAlgebra.toDirectSum_single (i : ι) (m : M) :
 
 variable [∀ m : M, Decidable (m ≠ 0)]
 
-/- warning: direct_sum.to_add_monoid_algebra -> DirectSum.toAddMonoidAlgebra is a dubious translation:
-lean 3 declaration is
-  forall {ι : Type.{u1}} {M : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} ι] [_inst_2 : Semiring.{u2} M] [_inst_3 : forall (m : M), Decidable (Ne.{succ u2} M m (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (MulZeroClass.toHasZero.{u2} M (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2))))))))], (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (i : ι) => M) i) (Semiring.toNonAssocSemiring.{u2} ((fun (i : ι) => M) i) _inst_2)))) -> (AddMonoidAlgebra.{u2, u1} M ι _inst_2)
-but is expected to have type
-  forall {ι : Type.{u1}} {M : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} ι] [_inst_2 : Semiring.{u2} M] [_inst_3 : forall (m : M), Decidable (Ne.{succ u2} M m (OfNat.ofNat.{u2} M 0 (Zero.toOfNat0.{u2} M (MonoidWithZero.toZero.{u2} M (Semiring.toMonoidWithZero.{u2} M _inst_2)))))], (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (i : ι) => M) i) (Semiring.toNonAssocSemiring.{u2} ((fun (i : ι) => M) i) _inst_2)))) -> (AddMonoidAlgebra.{u2, u1} M ι _inst_2)
-Case conversion may be inaccurate. Consider using '#align direct_sum.to_add_monoid_algebra DirectSum.toAddMonoidAlgebraₓ'. -/
 /-- Interpret a homogenous `direct_sum` as a `add_monoid_algebra`. -/
 def DirectSum.toAddMonoidAlgebra (f : ⨁ i : ι, M) : AddMonoidAlgebra M ι :=
   Dfinsupp.toFinsupp f
 #align direct_sum.to_add_monoid_algebra DirectSum.toAddMonoidAlgebra
 
-/- warning: direct_sum.to_add_monoid_algebra_of -> DirectSum.toAddMonoidAlgebra_of is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align direct_sum.to_add_monoid_algebra_of DirectSum.toAddMonoidAlgebra_ofₓ'. -/
 @[simp]
 theorem DirectSum.toAddMonoidAlgebra_of (i : ι) (m : M) :
     (DirectSum.of _ i m : ⨁ i : ι, M).toAddMonoidAlgebra = Finsupp.single i m :=
   Dfinsupp.toFinsupp_single i m
 #align direct_sum.to_add_monoid_algebra_of DirectSum.toAddMonoidAlgebra_of
 
-/- warning: add_monoid_algebra.to_direct_sum_to_add_monoid_algebra -> AddMonoidAlgebra.toDirectSum_toAddMonoidAlgebra is a dubious translation:
-lean 3 declaration is
-  forall {ι : Type.{u1}} {M : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} ι] [_inst_2 : Semiring.{u2} M] [_inst_3 : forall (m : M), Decidable (Ne.{succ u2} M m (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (MulZeroClass.toHasZero.{u2} M (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2))))))))] (f : AddMonoidAlgebra.{u2, u1} M ι _inst_2), Eq.{max (succ u1) (succ u2)} (AddMonoidAlgebra.{u2, u1} M ι _inst_2) (DirectSum.toAddMonoidAlgebra.{u1, u2} ι M (fun (a : ι) (b : ι) => _inst_1 a b) _inst_2 (fun (m : M) => _inst_3 m) (AddMonoidAlgebra.toDirectSum.{u1, u2} ι M _inst_2 f)) f
-but is expected to have type
-  forall {ι : Type.{u1}} {M : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} ι] [_inst_2 : Semiring.{u2} M] [_inst_3 : forall (m : M), Decidable (Ne.{succ u2} M m (OfNat.ofNat.{u2} M 0 (Zero.toOfNat0.{u2} M (MonoidWithZero.toZero.{u2} M (Semiring.toMonoidWithZero.{u2} M _inst_2)))))] (f : AddMonoidAlgebra.{u2, u1} M ι _inst_2), Eq.{max (succ u1) (succ u2)} (AddMonoidAlgebra.{u2, u1} M ι _inst_2) (DirectSum.toAddMonoidAlgebra.{u1, u2} ι M (fun (a : ι) (b : ι) => _inst_1 a b) _inst_2 (fun (m : M) => _inst_3 m) (AddMonoidAlgebra.toDirectSum.{u1, u2} ι M _inst_2 f)) f
-Case conversion may be inaccurate. Consider using '#align add_monoid_algebra.to_direct_sum_to_add_monoid_algebra AddMonoidAlgebra.toDirectSum_toAddMonoidAlgebraₓ'. -/
 @[simp]
 theorem AddMonoidAlgebra.toDirectSum_toAddMonoidAlgebra (f : AddMonoidAlgebra M ι) :
     f.toDirectSum.toAddMonoidAlgebra = f :=
   Finsupp.toDfinsupp_toFinsupp f
 #align add_monoid_algebra.to_direct_sum_to_add_monoid_algebra AddMonoidAlgebra.toDirectSum_toAddMonoidAlgebra
 
-/- warning: direct_sum.to_add_monoid_algebra_to_direct_sum -> DirectSum.toAddMonoidAlgebra_toDirectSum is a dubious translation:
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 @[simp]
 theorem DirectSum.toAddMonoidAlgebra_toDirectSum (f : ⨁ i : ι, M) :
     f.toAddMonoidAlgebra.toDirectSum = f :=
@@ -149,35 +125,17 @@ section Lemmas
 
 namespace AddMonoidAlgebra
 
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 @[simp]
 theorem toDirectSum_zero [Semiring M] : (0 : AddMonoidAlgebra M ι).toDirectSum = 0 :=
   Finsupp.toDfinsupp_zero
 #align add_monoid_algebra.to_direct_sum_zero AddMonoidAlgebra.toDirectSum_zero
 
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 @[simp]
 theorem toDirectSum_add [Semiring M] (f g : AddMonoidAlgebra M ι) :
     (f + g).toDirectSum = f.toDirectSum + g.toDirectSum :=
   Finsupp.toDfinsupp_add _ _
 #align add_monoid_algebra.to_direct_sum_add AddMonoidAlgebra.toDirectSum_add
 
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 @[simp]
 theorem toDirectSum_mul [DecidableEq ι] [AddMonoid ι] [Semiring M] (f g : AddMonoidAlgebra M ι) :
     (f * g).toDirectSum = f.toDirectSum * g.toDirectSum :=
@@ -200,36 +158,18 @@ namespace DirectSum
 
 variable [DecidableEq ι]
 
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 @[simp]
 theorem toAddMonoidAlgebra_zero [Semiring M] [∀ m : M, Decidable (m ≠ 0)] :
     toAddMonoidAlgebra 0 = (0 : AddMonoidAlgebra M ι) :=
   Dfinsupp.toFinsupp_zero
 #align direct_sum.to_add_monoid_algebra_zero DirectSum.toAddMonoidAlgebra_zero
 
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-Case conversion may be inaccurate. Consider using '#align direct_sum.to_add_monoid_algebra_add DirectSum.toAddMonoidAlgebra_addₓ'. -/
 @[simp]
 theorem toAddMonoidAlgebra_add [Semiring M] [∀ m : M, Decidable (m ≠ 0)] (f g : ⨁ i : ι, M) :
     (f + g).toAddMonoidAlgebra = toAddMonoidAlgebra f + toAddMonoidAlgebra g :=
   Dfinsupp.toFinsupp_add _ _
 #align direct_sum.to_add_monoid_algebra_add DirectSum.toAddMonoidAlgebra_add
 
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 @[simp]
 theorem toAddMonoidAlgebra_mul [AddMonoid ι] [Semiring M] [∀ m : M, Decidable (m ≠ 0)]
     (f g : ⨁ i : ι, M) : (f * g).toAddMonoidAlgebra = toAddMonoidAlgebra f * toAddMonoidAlgebra g :=
@@ -249,12 +189,6 @@ end Lemmas
 
 section Equivs
 
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 /-- `add_monoid_algebra.to_direct_sum` and `direct_sum.to_add_monoid_algebra` together form an
 equiv. -/
 @[simps (config := { fullyApplied := false })]
@@ -265,12 +199,6 @@ def addMonoidAlgebraEquivDirectSum [DecidableEq ι] [Semiring M] [∀ m : M, Dec
     invFun := DirectSum.toAddMonoidAlgebra }
 #align add_monoid_algebra_equiv_direct_sum addMonoidAlgebraEquivDirectSum
 
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 /-- The additive version of `add_monoid_algebra.to_add_monoid_algebra`. Note that this is
 `noncomputable` because `add_monoid_algebra.has_add` is noncomputable. -/
 @[simps (config := { fullyApplied := false })]
@@ -283,12 +211,6 @@ def addMonoidAlgebraAddEquivDirectSum [DecidableEq ι] [Semiring M] [∀ m : M,
     map_add' := AddMonoidAlgebra.toDirectSum_add }
 #align add_monoid_algebra_add_equiv_direct_sum addMonoidAlgebraAddEquivDirectSum
 
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-Case conversion may be inaccurate. Consider using '#align add_monoid_algebra_ring_equiv_direct_sum addMonoidAlgebraRingEquivDirectSumₓ'. -/
 /-- The ring version of `add_monoid_algebra.to_add_monoid_algebra`. Note that this is
 `noncomputable` because `add_monoid_algebra.has_add` is noncomputable. -/
 @[simps (config := { fullyApplied := false })]
@@ -303,12 +225,6 @@ def addMonoidAlgebraRingEquivDirectSum [DecidableEq ι] [AddMonoid ι] [Semiring
     map_mul' := AddMonoidAlgebra.toDirectSum_mul }
 #align add_monoid_algebra_ring_equiv_direct_sum addMonoidAlgebraRingEquivDirectSum
 
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 /-- The algebra version of `add_monoid_algebra.to_add_monoid_algebra`. Note that this is
 `noncomputable` because `add_monoid_algebra.has_add` is noncomputable. -/
 @[simps (config := { fullyApplied := false })]

1b0a28e1

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -84,10 +84,7 @@ section
 variable [DecidableEq ι] [Semiring M]
 
 /- warning: add_monoid_algebra.to_direct_sum_single -> AddMonoidAlgebra.toDirectSum_single is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align add_monoid_algebra.to_direct_sum_single AddMonoidAlgebra.toDirectSum_singleₓ'. -/
 @[simp]
 theorem AddMonoidAlgebra.toDirectSum_single (i : ι) (m : M) :
@@ -109,10 +106,7 @@ def DirectSum.toAddMonoidAlgebra (f : ⨁ i : ι, M) : AddMonoidAlgebra M ι :=
 #align direct_sum.to_add_monoid_algebra DirectSum.toAddMonoidAlgebra
 
 /- warning: direct_sum.to_add_monoid_algebra_of -> DirectSum.toAddMonoidAlgebra_of is a dubious translation:
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NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (i : ι) => M) i) (Semiring.toNonAssocSemiring.{u2} ((fun (i : ι) => M) i) _inst_2))))))) (fun (_x : AddMonoidHom.{u2, max u1 u2} M (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (i : ι) => M) i) (Semiring.toNonAssocSemiring.{u2} ((fun (i : ι) => M) i) _inst_2)))) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (i : ι) => M) i) (Semiring.toNonAssocSemiring.{u2} ((fun (i : ι) => M) i) _inst_2))))) (AddMonoid.toAddZeroClass.{max u1 u2} (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (i : ι) => M) i) 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(Semiring.toNonAssocSemiring.{u2} M _inst_2)))) i m)
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=> M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) _inst_2)))) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) _inst_2))))) (AddMonoid.toAddZeroClass.{max u2 u1} (DirectSum.{u2, u1} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) _inst_2)))) (AddCommMonoid.toAddMonoid.{max u2 u1} (DirectSum.{u2, u1} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) _inst_2)))) (instAddCommMonoidDirectSum.{u2, u1} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) _inst_2))))))))) (DirectSum.of.{u2, u1} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (i : ι) => M) i) (Semiring.toNonAssocSemiring.{u1} ((fun (i : ι) => M) i) _inst_2))) i) m)) (Finsupp.single.{u2, u1} ι M (MonoidWithZero.toZero.{u1} M (Semiring.toMonoidWithZero.{u1} M _inst_2)) i m)
+<too large>
 Case conversion may be inaccurate. Consider using '#align direct_sum.to_add_monoid_algebra_of DirectSum.toAddMonoidAlgebra_ofₓ'. -/
 @[simp]
 theorem DirectSum.toAddMonoidAlgebra_of (i : ι) (m : M) :

1b0a28e1

bump to nightly-2023-05-22-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/1b0a28e1c93409dbf6d69526863cd9984ef652ce

5dfda1a5

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
 
 ! This file was ported from Lean 3 source module algebra.monoid_algebra.to_direct_sum
-! leanprover-community/mathlib commit c0a51cf2de54089d69301befc4c73bbc2f5c7342
+! leanprover-community/mathlib commit 1b0a28e1c93409dbf6d69526863cd9984ef652ce
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.Data.Finsupp.ToDfinsupp
 /-!
 # Conversion between `add_monoid_algebra` and homogenous `direct_sum`
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This module provides conversions between `add_monoid_algebra` and `direct_sum`.
 The latter is essentially a dependent version of the former.

c0a51cf2

bump to nightly-2023-05-20-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/f51de8769c34652d82d1c8e5f8f18f8374782bed

95a4111e

Diff

@@ -69,15 +69,23 @@ open DirectSum
 
 section Defs
 
+#print AddMonoidAlgebra.toDirectSum /-
 /-- Interpret a `add_monoid_algebra` as a homogenous `direct_sum`. -/
 def AddMonoidAlgebra.toDirectSum [Semiring M] (f : AddMonoidAlgebra M ι) : ⨁ i : ι, M :=
   Finsupp.toDfinsupp f
 #align add_monoid_algebra.to_direct_sum AddMonoidAlgebra.toDirectSum
+-/
 
 section
 
 variable [DecidableEq ι] [Semiring M]
 
+/- warning: add_monoid_algebra.to_direct_sum_single -> AddMonoidAlgebra.toDirectSum_single is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} {M : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} ι] [_inst_2 : Semiring.{u2} M] (i : ι) (m : M), Eq.{succ (max u1 u2)} (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2)))) (AddMonoidAlgebra.toDirectSum.{u1, u2} ι M _inst_2 (Finsupp.single.{u1, u2} ι M (MulZeroClass.toHasZero.{u2} M (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2)))) i m)) (coeFn.{max (succ (max u1 u2)) (succ u2), max (succ u2) (succ (max u1 u2))} (AddMonoidHom.{u2, max u1 u2} M (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2)))) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2))))) (AddMonoid.toAddZeroClass.{max u1 u2} (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2)))) (DirectSum.addCommMonoid.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2))))))) (fun (_x : AddMonoidHom.{u2, max u1 u2} M (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2)))) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2))))) (AddMonoid.toAddZeroClass.{max u1 u2} (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2)))) (DirectSum.addCommMonoid.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2))))))) => M -> (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2))))) (AddMonoidHom.hasCoeToFun.{u2, max u1 u2} M (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2)))) (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2))))) (AddMonoid.toAddZeroClass.{max u1 u2} (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2)))) (DirectSum.addCommMonoid.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2))))))) (DirectSum.of.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_2))) i) m)
+but is expected to have type
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i) (Semiring.toNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) _inst_2))))))) M (DirectSum.{u2, u1} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) _inst_2)))) (AddZeroClass.toAdd.{u1} M (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) _inst_2)))))) (AddZeroClass.toAdd.{max u2 u1} (DirectSum.{u2, u1} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) _inst_2)))) (AddMonoid.toAddZeroClass.{max 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_inst_2))))) (AddMonoid.toAddZeroClass.{max u2 u1} (DirectSum.{u2, u1} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) _inst_2)))) (AddCommMonoid.toAddMonoid.{max u2 u1} (DirectSum.{u2, u1} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) _inst_2)))) (instAddCommMonoidDirectSum.{u2, u1} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) _inst_2)))))) (AddMonoidHom.addMonoidHomClass.{u1, max u2 u1} M (DirectSum.{u2, u1} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) _inst_2)))) (AddMonoid.toAddZeroClass.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) _inst_2))))) (AddMonoid.toAddZeroClass.{max u2 u1} (DirectSum.{u2, u1} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) _inst_2)))) (AddCommMonoid.toAddMonoid.{max u2 u1} (DirectSum.{u2, u1} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) _inst_2)))) (instAddCommMonoidDirectSum.{u2, u1} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) _inst_2))))))))) (DirectSum.of.{u2, u1} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u1} ((fun (_i : ι) => M) i) _inst_2))) i) m)
+Case conversion may be inaccurate. Consider using '#align add_monoid_algebra.to_direct_sum_single AddMonoidAlgebra.toDirectSum_singleₓ'. -/
 @[simp]
 theorem AddMonoidAlgebra.toDirectSum_single (i : ι) (m : M) :
     AddMonoidAlgebra.toDirectSum (Finsupp.single i m) = DirectSum.of _ i m :=
@@ -86,23 +94,47 @@ theorem AddMonoidAlgebra.toDirectSum_single (i : ι) (m : M) :
 
 variable [∀ m : M, Decidable (m ≠ 0)]
 
+/- warning: direct_sum.to_add_monoid_algebra -> DirectSum.toAddMonoidAlgebra is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align direct_sum.to_add_monoid_algebra DirectSum.toAddMonoidAlgebraₓ'. -/
 /-- Interpret a homogenous `direct_sum` as a `add_monoid_algebra`. -/
 def DirectSum.toAddMonoidAlgebra (f : ⨁ i : ι, M) : AddMonoidAlgebra M ι :=
   Dfinsupp.toFinsupp f
 #align direct_sum.to_add_monoid_algebra DirectSum.toAddMonoidAlgebra
 
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+Case conversion may be inaccurate. Consider using '#align direct_sum.to_add_monoid_algebra_of DirectSum.toAddMonoidAlgebra_ofₓ'. -/
 @[simp]
 theorem DirectSum.toAddMonoidAlgebra_of (i : ι) (m : M) :
     (DirectSum.of _ i m : ⨁ i : ι, M).toAddMonoidAlgebra = Finsupp.single i m :=
   Dfinsupp.toFinsupp_single i m
 #align direct_sum.to_add_monoid_algebra_of DirectSum.toAddMonoidAlgebra_of
 
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 @[simp]
 theorem AddMonoidAlgebra.toDirectSum_toAddMonoidAlgebra (f : AddMonoidAlgebra M ι) :
     f.toDirectSum.toAddMonoidAlgebra = f :=
   Finsupp.toDfinsupp_toFinsupp f
 #align add_monoid_algebra.to_direct_sum_to_add_monoid_algebra AddMonoidAlgebra.toDirectSum_toAddMonoidAlgebra
 
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+Case conversion may be inaccurate. Consider using '#align direct_sum.to_add_monoid_algebra_to_direct_sum DirectSum.toAddMonoidAlgebra_toDirectSumₓ'. -/
 @[simp]
 theorem DirectSum.toAddMonoidAlgebra_toDirectSum (f : ⨁ i : ι, M) :
     f.toAddMonoidAlgebra.toDirectSum = f :=
@@ -120,17 +152,35 @@ section Lemmas
 
 namespace AddMonoidAlgebra
 
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 @[simp]
 theorem toDirectSum_zero [Semiring M] : (0 : AddMonoidAlgebra M ι).toDirectSum = 0 :=
   Finsupp.toDfinsupp_zero
 #align add_monoid_algebra.to_direct_sum_zero AddMonoidAlgebra.toDirectSum_zero
 
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+Case conversion may be inaccurate. Consider using '#align add_monoid_algebra.to_direct_sum_add AddMonoidAlgebra.toDirectSum_addₓ'. -/
 @[simp]
 theorem toDirectSum_add [Semiring M] (f g : AddMonoidAlgebra M ι) :
     (f + g).toDirectSum = f.toDirectSum + g.toDirectSum :=
   Finsupp.toDfinsupp_add _ _
 #align add_monoid_algebra.to_direct_sum_add AddMonoidAlgebra.toDirectSum_add
 
+/- warning: add_monoid_algebra.to_direct_sum_mul -> AddMonoidAlgebra.toDirectSum_mul is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align add_monoid_algebra.to_direct_sum_mul AddMonoidAlgebra.toDirectSum_mulₓ'. -/
 @[simp]
 theorem toDirectSum_mul [DecidableEq ι] [AddMonoid ι] [Semiring M] (f g : AddMonoidAlgebra M ι) :
     (f * g).toDirectSum = f.toDirectSum * g.toDirectSum :=
@@ -153,18 +203,36 @@ namespace DirectSum
 
 variable [DecidableEq ι]
 
+/- warning: direct_sum.to_add_monoid_algebra_zero -> DirectSum.toAddMonoidAlgebra_zero is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align direct_sum.to_add_monoid_algebra_zero DirectSum.toAddMonoidAlgebra_zeroₓ'. -/
 @[simp]
 theorem toAddMonoidAlgebra_zero [Semiring M] [∀ m : M, Decidable (m ≠ 0)] :
     toAddMonoidAlgebra 0 = (0 : AddMonoidAlgebra M ι) :=
   Dfinsupp.toFinsupp_zero
 #align direct_sum.to_add_monoid_algebra_zero DirectSum.toAddMonoidAlgebra_zero
 
+/- warning: direct_sum.to_add_monoid_algebra_add -> DirectSum.toAddMonoidAlgebra_add is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align direct_sum.to_add_monoid_algebra_add DirectSum.toAddMonoidAlgebra_addₓ'. -/
 @[simp]
 theorem toAddMonoidAlgebra_add [Semiring M] [∀ m : M, Decidable (m ≠ 0)] (f g : ⨁ i : ι, M) :
     (f + g).toAddMonoidAlgebra = toAddMonoidAlgebra f + toAddMonoidAlgebra g :=
   Dfinsupp.toFinsupp_add _ _
 #align direct_sum.to_add_monoid_algebra_add DirectSum.toAddMonoidAlgebra_add
 
+/- warning: direct_sum.to_add_monoid_algebra_mul -> DirectSum.toAddMonoidAlgebra_mul is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align direct_sum.to_add_monoid_algebra_mul DirectSum.toAddMonoidAlgebra_mulₓ'. -/
 @[simp]
 theorem toAddMonoidAlgebra_mul [AddMonoid ι] [Semiring M] [∀ m : M, Decidable (m ≠ 0)]
     (f g : ⨁ i : ι, M) : (f * g).toAddMonoidAlgebra = toAddMonoidAlgebra f * toAddMonoidAlgebra g :=
@@ -184,6 +252,12 @@ end Lemmas
 
 section Equivs
 
+/- warning: add_monoid_algebra_equiv_direct_sum -> addMonoidAlgebraEquivDirectSum is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align add_monoid_algebra_equiv_direct_sum addMonoidAlgebraEquivDirectSumₓ'. -/
 /-- `add_monoid_algebra.to_direct_sum` and `direct_sum.to_add_monoid_algebra` together form an
 equiv. -/
 @[simps (config := { fullyApplied := false })]
@@ -194,6 +268,12 @@ def addMonoidAlgebraEquivDirectSum [DecidableEq ι] [Semiring M] [∀ m : M, Dec
     invFun := DirectSum.toAddMonoidAlgebra }
 #align add_monoid_algebra_equiv_direct_sum addMonoidAlgebraEquivDirectSum
 
+/- warning: add_monoid_algebra_add_equiv_direct_sum -> addMonoidAlgebraAddEquivDirectSum is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align add_monoid_algebra_add_equiv_direct_sum addMonoidAlgebraAddEquivDirectSumₓ'. -/
 /-- The additive version of `add_monoid_algebra.to_add_monoid_algebra`. Note that this is
 `noncomputable` because `add_monoid_algebra.has_add` is noncomputable. -/
 @[simps (config := { fullyApplied := false })]
@@ -206,6 +286,12 @@ def addMonoidAlgebraAddEquivDirectSum [DecidableEq ι] [Semiring M] [∀ m : M,
     map_add' := AddMonoidAlgebra.toDirectSum_add }
 #align add_monoid_algebra_add_equiv_direct_sum addMonoidAlgebraAddEquivDirectSum
 
+/- warning: add_monoid_algebra_ring_equiv_direct_sum -> addMonoidAlgebraRingEquivDirectSum is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} {M : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} ι] [_inst_2 : AddMonoid.{u1} ι] [_inst_3 : Semiring.{u2} M] [_inst_4 : forall (m : M), Decidable (Ne.{succ u2} M m (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (MulZeroClass.toHasZero.{u2} M (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_3))))))))], RingEquiv.{max u1 u2, max u1 u2} (AddMonoidAlgebra.{u2, u1} M ι _inst_3) (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_3)))) (AddMonoidAlgebra.hasMul.{u2, u1} M ι _inst_3 (AddZeroClass.toHasAdd.{u1} ι (AddMonoid.toAddZeroClass.{u1} ι _inst_2))) (Distrib.toHasAdd.{max u1 u2} (AddMonoidAlgebra.{u2, u1} M ι _inst_3) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (AddMonoidAlgebra.{u2, u1} M ι _inst_3) (AddMonoidAlgebra.nonUnitalNonAssocSemiring.{u2, u1} M ι _inst_3 (AddZeroClass.toHasAdd.{u1} ι (AddMonoid.toAddZeroClass.{u1} ι _inst_2))))) (Distrib.toHasMul.{max u1 u2} (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_3)))) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_3)))) (DirectSum.nonUnitalNonAssocSemiring.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => M) (AddZeroClass.toHasAdd.{u1} ι (AddMonoid.toAddZeroClass.{u1} ι _inst_2)) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_3))) (NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) M _inst_2 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_3)))))) (Distrib.toHasAdd.{max u1 u2} (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_3)))) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_3)))) (DirectSum.nonUnitalNonAssocSemiring.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => M) (AddZeroClass.toHasAdd.{u1} ι (AddMonoid.toAddZeroClass.{u1} ι _inst_2)) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} M (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_3))) (NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) M _inst_2 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_3))))))
+but is expected to have type
+  forall {ι : Type.{u1}} {M : Type.{u2}} [_inst_1 : DecidableEq.{succ u1} ι] [_inst_2 : AddMonoid.{u1} ι] [_inst_3 : Semiring.{u2} M] [_inst_4 : forall (m : M), Decidable (Ne.{succ u2} M m (OfNat.ofNat.{u2} M 0 (Zero.toOfNat0.{u2} M (MonoidWithZero.toZero.{u2} M (Semiring.toMonoidWithZero.{u2} M _inst_3)))))], RingEquiv.{max u1 u2, max u2 u1} (AddMonoidAlgebra.{u2, u1} M ι _inst_3) (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u2} ((fun (_i : ι) => M) i) _inst_3)))) (AddMonoidAlgebra.hasMul.{u2, u1} M ι _inst_3 (AddZeroClass.toAdd.{u1} ι (AddMonoid.toAddZeroClass.{u1} ι _inst_2))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (DirectSum.{u1, u2} ι (fun (_i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u2} ((fun (_i : ι) => M) i) _inst_3)))) (DirectSum.instNonUnitalNonAssocSemiringDirectSum.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (_i : ι) => M) (AddZeroClass.toAdd.{u1} ι (AddMonoid.toAddZeroClass.{u1} ι _inst_2)) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u2} ((fun (_i : ι) => M) i) _inst_3))) (NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring.{u1, u2} ι M _inst_2 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_3))))) (Distrib.toAdd.{max u1 u2} (AddMonoidAlgebra.{u2, u1} M ι _inst_3) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (AddMonoidAlgebra.{u2, u1} M ι _inst_3) (AddMonoidAlgebra.nonUnitalNonAssocSemiring.{u2, u1} M ι _inst_3 (AddZeroClass.toAdd.{u1} ι (AddMonoid.toAddZeroClass.{u1} ι _inst_2))))) (Distrib.toAdd.{max u1 u2} (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u2} ((fun (_i : ι) => M) i) _inst_3)))) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (DirectSum.{u1, u2} ι (fun (i : ι) => M) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u2} ((fun (_i : ι) => M) i) _inst_3)))) (DirectSum.instNonUnitalNonAssocSemiringDirectSum.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => M) (AddZeroClass.toAdd.{u1} ι (AddMonoid.toAddZeroClass.{u1} ι _inst_2)) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (_i : ι) => M) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (_i : ι) => M) i) (Semiring.toNonAssocSemiring.{u2} ((fun (_i : ι) => M) i) _inst_3))) (NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring.{u1, u2} ι M _inst_2 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} M (Semiring.toNonAssocSemiring.{u2} M _inst_3))))))
+Case conversion may be inaccurate. Consider using '#align add_monoid_algebra_ring_equiv_direct_sum addMonoidAlgebraRingEquivDirectSumₓ'. -/
 /-- The ring version of `add_monoid_algebra.to_add_monoid_algebra`. Note that this is
 `noncomputable` because `add_monoid_algebra.has_add` is noncomputable. -/
 @[simps (config := { fullyApplied := false })]
@@ -220,6 +306,12 @@ def addMonoidAlgebraRingEquivDirectSum [DecidableEq ι] [AddMonoid ι] [Semiring
     map_mul' := AddMonoidAlgebra.toDirectSum_mul }
 #align add_monoid_algebra_ring_equiv_direct_sum addMonoidAlgebraRingEquivDirectSum
 
+/- warning: add_monoid_algebra_alg_equiv_direct_sum -> addMonoidAlgebraAlgEquivDirectSum is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : DecidableEq.{succ u1} ι] [_inst_2 : AddMonoid.{u1} ι] [_inst_3 : CommSemiring.{u2} R] [_inst_4 : Semiring.{u3} A] [_inst_5 : Algebra.{u2, u3} R A _inst_3 _inst_4] [_inst_6 : forall (m : A), Decidable (Ne.{succ u3} A m (OfNat.ofNat.{u3} A 0 (OfNat.mk.{u3} A 0 (Zero.zero.{u3} A (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))))))))], AlgEquiv.{u2, max u1 u3, max u1 u3} R (AddMonoidAlgebra.{u3, u1} A ι _inst_4) (DirectSum.{u1, u3} ι (fun (i : ι) => A) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4)))) _inst_3 (AddMonoidAlgebra.semiring.{u3, u1} A ι _inst_4 _inst_2) (DirectSum.semiring.{u1, u3} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) _inst_2 (Semiring.directSumGSemiring.{u1, u3} ι (fun (a : ι) (b : ι) => _inst_1 a b) A _inst_2 _inst_4)) (AddMonoidAlgebra.algebra.{u3, u1, u2} A ι R _inst_3 _inst_4 _inst_5 _inst_2) (DirectSum.algebra.{u1, u2, u3} ι R (fun (i : ι) => A) (fun (a : ι) (b : ι) => _inst_1 a b) _inst_3 (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_4))) (fun (i : ι) => Algebra.toModule.{u2, u3} R A _inst_3 _inst_4 _inst_5) _inst_2 (Semiring.directSumGSemiring.{u1, u3} ι (fun (a : ι) (b : ι) => _inst_1 a b) A _inst_2 _inst_4) (Algebra.directSumGAlgebra.{u1, u2, u3} ι R A (fun (a : ι) (b : ι) => _inst_1 a b) _inst_2 _inst_3 _inst_4 _inst_5))
+but is expected to have type
+  forall {ι : Type.{u1}} {R : Type.{u2}} {A : Type.{u3}} [_inst_1 : DecidableEq.{succ u1} ι] [_inst_2 : AddMonoid.{u1} ι] [_inst_3 : CommSemiring.{u2} R] [_inst_4 : Semiring.{u3} A] [_inst_5 : Algebra.{u2, u3} R A _inst_3 _inst_4] [_inst_6 : forall (m : A), Decidable (Ne.{succ u3} A m (OfNat.ofNat.{u3} A 0 (Zero.toOfNat0.{u3} A (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_4)))))], AlgEquiv.{u2, max u1 u3, max u3 u1} R (AddMonoidAlgebra.{u3, u1} A ι _inst_4) (DirectSum.{u1, u3} ι (fun (i : ι) => A) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (_i : ι) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (_i : ι) => A) i) (Semiring.toNonAssocSemiring.{u3} ((fun (_i : ι) => A) i) _inst_4)))) _inst_3 (AddMonoidAlgebra.semiring.{u3, u1} A ι _inst_4 _inst_2) (DirectSum.semiring.{u1, u3} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (_i : ι) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (_i : ι) => A) i) (Semiring.toNonAssocSemiring.{u3} ((fun (_i : ι) => A) i) _inst_4))) _inst_2 (Semiring.directSumGSemiring.{u1, u3} ι A _inst_2 _inst_4)) (AddMonoidAlgebra.algebra.{u3, u1, u2} A ι R _inst_3 _inst_4 _inst_5 _inst_2) (DirectSum.instAlgebraDirectSumSemiring.{u1, u2, u3} ι R (fun (i : ι) => A) (fun (a : ι) (b : ι) => _inst_1 a b) _inst_3 (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} ((fun (_i : ι) => A) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} ((fun (_i : ι) => A) i) (Semiring.toNonAssocSemiring.{u3} ((fun (_i : ι) => A) i) _inst_4))) (fun (i : ι) => Algebra.toModule.{u2, u3} R A _inst_3 _inst_4 _inst_5) _inst_2 (Semiring.directSumGSemiring.{u1, u3} ι A _inst_2 _inst_4) (Algebra.directSumGAlgebra.{u1, u2, u3} ι R A (fun (a : ι) (b : ι) => _inst_1 a b) _inst_2 _inst_3 _inst_4 _inst_5))
+Case conversion may be inaccurate. Consider using '#align add_monoid_algebra_alg_equiv_direct_sum addMonoidAlgebraAlgEquivDirectSumₓ'. -/
 /-- The algebra version of `add_monoid_algebra.to_add_monoid_algebra`. Note that this is
 `noncomputable` because `add_monoid_algebra.has_add` is noncomputable. -/
 @[simps (config := { fullyApplied := false })]

c0a51cf2

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

c0a51cf2

style: homogenise porting notes (#11145)

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".

8be0b69c

Diff

@@ -139,7 +139,7 @@ theorem toDirectSum_mul [DecidableEq ι] [AddMonoid ι] [Semiring M] (f g : AddM
   let _ : NonUnitalNonAssocSemiring (ι →₀ M) := AddMonoidAlgebra.nonUnitalNonAssocSemiring
   revert f g
   rw [AddMonoidHom.map_mul_iff]
-  -- porting note: does not find `addHom_ext'`, was `ext (xi xv yi yv) : 4`
+  -- Porting note: does not find `addHom_ext'`, was `ext (xi xv yi yv) : 4`
   refine Finsupp.addHom_ext' fun xi => AddMonoidHom.ext fun xv => ?_
   refine Finsupp.addHom_ext' fun yi => AddMonoidHom.ext fun yv => ?_
   dsimp only [AddMonoidHom.comp_apply, AddMonoidHom.compl₂_apply, AddMonoidHom.compr₂_apply,

c0a51cf2

style: shorten simps configurations (#8296)

Use .asFn and .lemmasOnly as simps configuration options.

For reference, these are defined here:

https://github.com/leanprover-community/mathlib4/blob/4055c8b471380825f07416b12cb0cf266da44d84/Mathlib/Tactic/Simps/Basic.lean#L843-L851

e0637173

Diff

@@ -198,7 +198,7 @@ section Equivs
 
 /-- `AddMonoidAlgebra.toDirectSum` and `DirectSum.toAddMonoidAlgebra` together form an
 equiv. -/
-@[simps (config := { fullyApplied := false })]
+@[simps (config := .asFn)]
 def addMonoidAlgebraEquivDirectSum [DecidableEq ι] [Semiring M] [∀ m : M, Decidable (m ≠ 0)] :
     AddMonoidAlgebra M ι ≃ ⨁ _ : ι, M :=
   { finsuppEquivDFinsupp with
@@ -207,7 +207,7 @@ def addMonoidAlgebraEquivDirectSum [DecidableEq ι] [Semiring M] [∀ m : M, Dec
 #align add_monoid_algebra_equiv_direct_sum addMonoidAlgebraEquivDirectSum
 
 /-- The additive version of `AddMonoidAlgebra.addMonoidAlgebraEquivDirectSum`.  -/
-@[simps (config := { fullyApplied := false })]
+@[simps (config := .asFn)]
 def addMonoidAlgebraAddEquivDirectSum [DecidableEq ι] [Semiring M] [∀ m : M, Decidable (m ≠ 0)] :
     AddMonoidAlgebra M ι ≃+ ⨁ _ : ι, M :=
   { addMonoidAlgebraEquivDirectSum with
@@ -217,7 +217,7 @@ def addMonoidAlgebraAddEquivDirectSum [DecidableEq ι] [Semiring M] [∀ m : M,
 #align add_monoid_algebra_add_equiv_direct_sum addMonoidAlgebraAddEquivDirectSum
 
 /-- The ring version of `AddMonoidAlgebra.addMonoidAlgebraEquivDirectSum`.  -/
-@[simps (config := { fullyApplied := false })]
+@[simps (config := .asFn)]
 def addMonoidAlgebraRingEquivDirectSum [DecidableEq ι] [AddMonoid ι] [Semiring M]
     [∀ m : M, Decidable (m ≠ 0)] : AddMonoidAlgebra M ι ≃+* ⨁ _ : ι, M :=
   { (addMonoidAlgebraAddEquivDirectSum : AddMonoidAlgebra M ι ≃+ ⨁ _ : ι, M) with
@@ -227,7 +227,7 @@ def addMonoidAlgebraRingEquivDirectSum [DecidableEq ι] [AddMonoid ι] [Semiring
 #align add_monoid_algebra_ring_equiv_direct_sum addMonoidAlgebraRingEquivDirectSum
 
 /-- The algebra version of `AddMonoidAlgebra.addMonoidAlgebraEquivDirectSum`. -/
-@[simps (config := { fullyApplied := false })]
+@[simps (config := .asFn)]
 def addMonoidAlgebraAlgEquivDirectSum [DecidableEq ι] [AddMonoid ι] [CommSemiring R] [Semiring A]
     [Algebra R A] [∀ m : A, Decidable (m ≠ 0)] : AddMonoidAlgebra A ι ≃ₐ[R] ⨁ _ : ι, A :=
   { (addMonoidAlgebraRingEquivDirectSum : AddMonoidAlgebra A ι ≃+* ⨁ _ : ι, A) with

c0a51cf2

Revert "chore: revert #7703 (#7710)"

This reverts commit f3695eb2.

ab56fa28

Diff

@@ -144,7 +144,13 @@ theorem toDirectSum_mul [DecidableEq ι] [AddMonoid ι] [Semiring M] (f g : AddM
   refine Finsupp.addHom_ext' fun yi => AddMonoidHom.ext fun yv => ?_
   dsimp only [AddMonoidHom.comp_apply, AddMonoidHom.compl₂_apply, AddMonoidHom.compr₂_apply,
     AddMonoidHom.mul_apply, Finsupp.singleAddHom_apply]
+  -- This was not needed before leanprover/lean4#2644
+  erw [AddMonoidHom.compl₂_apply]
+  -- This was not needed before leanprover/lean4#2644
+  erw [AddMonoidHom.coe_mk]
   simp only [AddMonoidHom.coe_mk, ZeroHom.coe_mk, toDirectSum_single]
+  -- This was not needed before leanprover/lean4#2644
+  dsimp
   erw [AddMonoidAlgebra.single_mul_single, AddMonoidHom.coe_mk, ZeroHom.coe_mk,
     AddMonoidAlgebra.toDirectSum_single]
   simp only [AddMonoidHom.coe_comp, AddMonoidHom.coe_mul, AddMonoidHom.coe_mk, ZeroHom.coe_mk,

c0a51cf2

chore: revert #7703 (#7710)

This reverts commit 26eb2b0a.

f3695eb2

Diff

@@ -144,13 +144,7 @@ theorem toDirectSum_mul [DecidableEq ι] [AddMonoid ι] [Semiring M] (f g : AddM
   refine Finsupp.addHom_ext' fun yi => AddMonoidHom.ext fun yv => ?_
   dsimp only [AddMonoidHom.comp_apply, AddMonoidHom.compl₂_apply, AddMonoidHom.compr₂_apply,
     AddMonoidHom.mul_apply, Finsupp.singleAddHom_apply]
-  -- This was not needed before leanprover/lean4#2644
-  erw [AddMonoidHom.compl₂_apply]
-  -- This was not needed before leanprover/lean4#2644
-  erw [AddMonoidHom.coe_mk]
   simp only [AddMonoidHom.coe_mk, ZeroHom.coe_mk, toDirectSum_single]
-  -- This was not needed before leanprover/lean4#2644
-  dsimp
   erw [AddMonoidAlgebra.single_mul_single, AddMonoidHom.coe_mk, ZeroHom.coe_mk,
     AddMonoidAlgebra.toDirectSum_single]
   simp only [AddMonoidHom.coe_comp, AddMonoidHom.coe_mul, AddMonoidHom.coe_mk, ZeroHom.coe_mk,

c0a51cf2

chore: bump toolchain to v4.2.0-rc2 (#7703)

This includes all the changes from #7606.

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

26eb2b0a

Diff

@@ -144,7 +144,13 @@ theorem toDirectSum_mul [DecidableEq ι] [AddMonoid ι] [Semiring M] (f g : AddM
   refine Finsupp.addHom_ext' fun yi => AddMonoidHom.ext fun yv => ?_
   dsimp only [AddMonoidHom.comp_apply, AddMonoidHom.compl₂_apply, AddMonoidHom.compr₂_apply,
     AddMonoidHom.mul_apply, Finsupp.singleAddHom_apply]
+  -- This was not needed before leanprover/lean4#2644
+  erw [AddMonoidHom.compl₂_apply]
+  -- This was not needed before leanprover/lean4#2644
+  erw [AddMonoidHom.coe_mk]
   simp only [AddMonoidHom.coe_mk, ZeroHom.coe_mk, toDirectSum_single]
+  -- This was not needed before leanprover/lean4#2644
+  dsimp
   erw [AddMonoidAlgebra.single_mul_single, AddMonoidHom.coe_mk, ZeroHom.coe_mk,
     AddMonoidAlgebra.toDirectSum_single]
   simp only [AddMonoidHom.coe_comp, AddMonoidHom.coe_mul, AddMonoidHom.coe_mk, ZeroHom.coe_mk,

c0a51cf2

chore: exactly 4 spaces in theorems (#7328)

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

d3263b23

Diff

@@ -173,8 +173,8 @@ theorem toAddMonoidAlgebra_add [Semiring M] [∀ m : M, Decidable (m ≠ 0)] (f
 
 @[simp]
 theorem toAddMonoidAlgebra_mul [AddMonoid ι] [Semiring M]
-  [∀ m : M, Decidable (m ≠ 0)] (f g : ⨁ _ : ι, M) :
-      (f * g).toAddMonoidAlgebra = toAddMonoidAlgebra f * toAddMonoidAlgebra g := by
+    [∀ m : M, Decidable (m ≠ 0)] (f g : ⨁ _ : ι, M) :
+    (f * g).toAddMonoidAlgebra = toAddMonoidAlgebra f * toAddMonoidAlgebra g := by
   apply_fun AddMonoidAlgebra.toDirectSum
   · simp
   · apply Function.LeftInverse.injective

c0a51cf2

chore: banish Type _ and Sort _ (#6499)

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

This has nice performance benefits.

32de3f67

Diff

@@ -57,7 +57,7 @@ still involve this definition.
 -/
 
 
-variable {ι : Type _} {R : Type _} {M : Type _} {A : Type _}
+variable {ι : Type*} {R : Type*} {M : Type*} {A : Type*}
 
 open DirectSum

c0a51cf2

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2021 Eric Wieser. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Eric Wieser
-
-! This file was ported from Lean 3 source module algebra.monoid_algebra.to_direct_sum
-! leanprover-community/mathlib commit c0a51cf2de54089d69301befc4c73bbc2f5c7342
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.DirectSum.Algebra
 import Mathlib.Algebra.MonoidAlgebra.Basic
 import Mathlib.Data.Finsupp.ToDFinsupp
 
+#align_import algebra.monoid_algebra.to_direct_sum from "leanprover-community/mathlib"@"c0a51cf2de54089d69301befc4c73bbc2f5c7342"
+
 /-!
 # Conversion between `AddMonoidAlgebra` and homogenous `DirectSum`

c0a51cf2

chore: rename Dfinsupp to DFinsupp (#5822)

See #4354

268b7d43

Diff

@@ -10,7 +10,7 @@ Authors: Eric Wieser
 -/
 import Mathlib.Algebra.DirectSum.Algebra
 import Mathlib.Algebra.MonoidAlgebra.Basic
-import Mathlib.Data.Finsupp.ToDfinsupp
+import Mathlib.Data.Finsupp.ToDFinsupp
 
 /-!
 # Conversion between `AddMonoidAlgebra` and homogenous `DirectSum`
@@ -51,7 +51,7 @@ For the bundled equivalences, we provide lemmas that they reduce to
 
 ## Implementation notes
 
-This file largely just copies the API of `Mathlib/Data/Finsupp/ToDfinsupp.lean`, and reuses the
+This file largely just copies the API of `Mathlib/Data/Finsupp/ToDFinsupp.lean`, and reuses the
 proofs. Recall that `AddMonoidAlgebra M ι` is defeq to `ι →₀ M` and `⨁ i : ι, M` is defeq to
 `Π₀ i : ι, M`.
 
@@ -71,7 +71,7 @@ section Defs
 
 /-- Interpret an `AddMonoidAlgebra` as a homogenous `DirectSum`. -/
 def AddMonoidAlgebra.toDirectSum [Semiring M] (f : AddMonoidAlgebra M ι) : ⨁ _ : ι, M :=
-  Finsupp.toDfinsupp f
+  Finsupp.toDFinsupp f
 #align add_monoid_algebra.to_direct_sum AddMonoidAlgebra.toDirectSum
 
 section
@@ -81,32 +81,32 @@ variable [DecidableEq ι] [Semiring M]
 @[simp]
 theorem AddMonoidAlgebra.toDirectSum_single (i : ι) (m : M) :
     AddMonoidAlgebra.toDirectSum (Finsupp.single i m) = DirectSum.of _ i m :=
-  Finsupp.toDfinsupp_single i m
+  Finsupp.toDFinsupp_single i m
 #align add_monoid_algebra.to_direct_sum_single AddMonoidAlgebra.toDirectSum_single
 
 variable [∀ m : M, Decidable (m ≠ 0)]
 
 /-- Interpret a homogenous `DirectSum` as an `AddMonoidAlgebra`. -/
 def DirectSum.toAddMonoidAlgebra (f : ⨁ _ : ι, M) : AddMonoidAlgebra M ι :=
-  Dfinsupp.toFinsupp f
+  DFinsupp.toFinsupp f
 #align direct_sum.to_add_monoid_algebra DirectSum.toAddMonoidAlgebra
 
 @[simp]
 theorem DirectSum.toAddMonoidAlgebra_of (i : ι) (m : M) :
     (DirectSum.of _ i m : ⨁ _ : ι, M).toAddMonoidAlgebra = Finsupp.single i m :=
-  Dfinsupp.toFinsupp_single i m
+  DFinsupp.toFinsupp_single i m
 #align direct_sum.to_add_monoid_algebra_of DirectSum.toAddMonoidAlgebra_of
 
 @[simp]
 theorem AddMonoidAlgebra.toDirectSum_toAddMonoidAlgebra (f : AddMonoidAlgebra M ι) :
     f.toDirectSum.toAddMonoidAlgebra = f :=
-  Finsupp.toDfinsupp_toFinsupp f
+  Finsupp.toDFinsupp_toFinsupp f
 #align add_monoid_algebra.to_direct_sum_to_add_monoid_algebra AddMonoidAlgebra.toDirectSum_toAddMonoidAlgebra
 
 @[simp]
 theorem DirectSum.toAddMonoidAlgebra_toDirectSum (f : ⨁ _ : ι, M) :
     f.toAddMonoidAlgebra.toDirectSum = f :=
-  (Dfinsupp.toFinsupp_toDfinsupp (show Π₀ _ : ι, M from f) : _)
+  (DFinsupp.toFinsupp_toDFinsupp (show Π₀ _ : ι, M from f) : _)
 #align direct_sum.to_add_monoid_algebra_to_direct_sum DirectSum.toAddMonoidAlgebra_toDirectSum
 
 end
@@ -122,13 +122,13 @@ namespace AddMonoidAlgebra
 
 @[simp]
 theorem toDirectSum_zero [Semiring M] : (0 : AddMonoidAlgebra M ι).toDirectSum = 0 :=
-  Finsupp.toDfinsupp_zero
+  Finsupp.toDFinsupp_zero
 #align add_monoid_algebra.to_direct_sum_zero AddMonoidAlgebra.toDirectSum_zero
 
 @[simp]
 theorem toDirectSum_add [Semiring M] (f g : AddMonoidAlgebra M ι) :
     (f + g).toDirectSum = f.toDirectSum + g.toDirectSum :=
-  Finsupp.toDfinsupp_add _ _
+  Finsupp.toDFinsupp_add _ _
 #align add_monoid_algebra.to_direct_sum_add AddMonoidAlgebra.toDirectSum_add
 
 @[simp]
@@ -165,13 +165,13 @@ variable [DecidableEq ι]
 @[simp]
 theorem toAddMonoidAlgebra_zero [Semiring M] [∀ m : M, Decidable (m ≠ 0)] :
     toAddMonoidAlgebra 0 = (0 : AddMonoidAlgebra M ι) :=
-  Dfinsupp.toFinsupp_zero
+  DFinsupp.toFinsupp_zero
 #align direct_sum.to_add_monoid_algebra_zero DirectSum.toAddMonoidAlgebra_zero
 
 @[simp]
 theorem toAddMonoidAlgebra_add [Semiring M] [∀ m : M, Decidable (m ≠ 0)] (f g : ⨁ _ : ι, M) :
     (f + g).toAddMonoidAlgebra = toAddMonoidAlgebra f + toAddMonoidAlgebra g :=
-  Dfinsupp.toFinsupp_add _ _
+  DFinsupp.toFinsupp_add _ _
 #align direct_sum.to_add_monoid_algebra_add DirectSum.toAddMonoidAlgebra_add
 
 @[simp]
@@ -198,7 +198,7 @@ equiv. -/
 @[simps (config := { fullyApplied := false })]
 def addMonoidAlgebraEquivDirectSum [DecidableEq ι] [Semiring M] [∀ m : M, Decidable (m ≠ 0)] :
     AddMonoidAlgebra M ι ≃ ⨁ _ : ι, M :=
-  { finsuppEquivDfinsupp with
+  { finsuppEquivDFinsupp with
     toFun := AddMonoidAlgebra.toDirectSum
     invFun := DirectSum.toAddMonoidAlgebra }
 #align add_monoid_algebra_equiv_direct_sum addMonoidAlgebraEquivDirectSum

c0a51cf2

chore: fix grammar 1/3 (#5001)

All of these are doc fixes

d8caa37d

Diff

@@ -69,7 +69,7 @@ open DirectSum
 
 section Defs
 
-/-- Interpret a `AddMonoidAlgebra` as a homogenous `DirectSum`. -/
+/-- Interpret an `AddMonoidAlgebra` as a homogenous `DirectSum`. -/
 def AddMonoidAlgebra.toDirectSum [Semiring M] (f : AddMonoidAlgebra M ι) : ⨁ _ : ι, M :=
   Finsupp.toDfinsupp f
 #align add_monoid_algebra.to_direct_sum AddMonoidAlgebra.toDirectSum
@@ -86,7 +86,7 @@ theorem AddMonoidAlgebra.toDirectSum_single (i : ι) (m : M) :
 
 variable [∀ m : M, Decidable (m ≠ 0)]
 
-/-- Interpret a homogenous `DirectSum` as a `AddMonoidAlgebra`. -/
+/-- Interpret a homogenous `DirectSum` as an `AddMonoidAlgebra`. -/
 def DirectSum.toAddMonoidAlgebra (f : ⨁ _ : ι, M) : AddMonoidAlgebra M ι :=
   Dfinsupp.toFinsupp f
 #align direct_sum.to_add_monoid_algebra DirectSum.toAddMonoidAlgebra

c0a51cf2

chore: tidy various files (#4757)

ea80818c

Diff

@@ -44,15 +44,15 @@ as well as preserving arithmetic operations.
 For the bundled equivalences, we provide lemmas that they reduce to
 `AddMonoidAlgebra.toDirectSum`:
 
-* `add_monoid_algebra_add_equiv_direct_sum_apply`
+* `addMonoidAlgebraAddEquivDirectSum_apply`
 * `add_monoid_algebra_lequiv_direct_sum_apply`
-* `add_monoid_algebra_add_equiv_direct_sum_symm_apply`
+* `addMonoidAlgebraAddEquivDirectSum_symm_apply`
 * `add_monoid_algebra_lequiv_direct_sum_symm_apply`
 
 ## Implementation notes
 
-This file largely just copies the API of `data/Finsupp/to_dfinsupp`, and reuses the proofs.
-Recall that `AddMonoidAlgebra M ι` is defeq to `ι →₀ M` and `⨁ i : ι, M` is defeq to
+This file largely just copies the API of `Mathlib/Data/Finsupp/ToDfinsupp.lean`, and reuses the
+proofs. Recall that `AddMonoidAlgebra M ι` is defeq to `ι →₀ M` and `⨁ i : ι, M` is defeq to
 `Π₀ i : ι, M`.
 
 Note that there is no `AddMonoidAlgebra` equivalent to `Finsupp.single`, so many statements

c0a51cf2

style: allow _ for an argument in notation3 & replace _foo with _ in notation3 (#4652)

e2b5ca37

Diff

@@ -70,7 +70,7 @@ open DirectSum
 section Defs
 
 /-- Interpret a `AddMonoidAlgebra` as a homogenous `DirectSum`. -/
-def AddMonoidAlgebra.toDirectSum [Semiring M] (f : AddMonoidAlgebra M ι) : ⨁ _i : ι, M :=
+def AddMonoidAlgebra.toDirectSum [Semiring M] (f : AddMonoidAlgebra M ι) : ⨁ _ : ι, M :=
   Finsupp.toDfinsupp f
 #align add_monoid_algebra.to_direct_sum AddMonoidAlgebra.toDirectSum
 
@@ -87,13 +87,13 @@ theorem AddMonoidAlgebra.toDirectSum_single (i : ι) (m : M) :
 variable [∀ m : M, Decidable (m ≠ 0)]
 
 /-- Interpret a homogenous `DirectSum` as a `AddMonoidAlgebra`. -/
-def DirectSum.toAddMonoidAlgebra (f : ⨁ _i : ι, M) : AddMonoidAlgebra M ι :=
+def DirectSum.toAddMonoidAlgebra (f : ⨁ _ : ι, M) : AddMonoidAlgebra M ι :=
   Dfinsupp.toFinsupp f
 #align direct_sum.to_add_monoid_algebra DirectSum.toAddMonoidAlgebra
 
 @[simp]
 theorem DirectSum.toAddMonoidAlgebra_of (i : ι) (m : M) :
-    (DirectSum.of _ i m : ⨁ _i : ι, M).toAddMonoidAlgebra = Finsupp.single i m :=
+    (DirectSum.of _ i m : ⨁ _ : ι, M).toAddMonoidAlgebra = Finsupp.single i m :=
   Dfinsupp.toFinsupp_single i m
 #align direct_sum.to_add_monoid_algebra_of DirectSum.toAddMonoidAlgebra_of
 
@@ -104,9 +104,9 @@ theorem AddMonoidAlgebra.toDirectSum_toAddMonoidAlgebra (f : AddMonoidAlgebra M
 #align add_monoid_algebra.to_direct_sum_to_add_monoid_algebra AddMonoidAlgebra.toDirectSum_toAddMonoidAlgebra
 
 @[simp]
-theorem DirectSum.toAddMonoidAlgebra_toDirectSum (f : ⨁ _i : ι, M) :
+theorem DirectSum.toAddMonoidAlgebra_toDirectSum (f : ⨁ _ : ι, M) :
     f.toAddMonoidAlgebra.toDirectSum = f :=
-  (Dfinsupp.toFinsupp_toDfinsupp (show Π₀ _i : ι, M from f) : _)
+  (Dfinsupp.toFinsupp_toDfinsupp (show Π₀ _ : ι, M from f) : _)
 #align direct_sum.to_add_monoid_algebra_to_direct_sum DirectSum.toAddMonoidAlgebra_toDirectSum
 
 end
@@ -134,7 +134,7 @@ theorem toDirectSum_add [Semiring M] (f g : AddMonoidAlgebra M ι) :
 @[simp]
 theorem toDirectSum_mul [DecidableEq ι] [AddMonoid ι] [Semiring M] (f g : AddMonoidAlgebra M ι) :
     (f * g).toDirectSum = f.toDirectSum * g.toDirectSum := by
-  let to_hom : AddMonoidAlgebra M ι →+ ⨁ _i : ι, M :=
+  let to_hom : AddMonoidAlgebra M ι →+ ⨁ _ : ι, M :=
   { toFun := toDirectSum
     map_zero' := toDirectSum_zero
     map_add' := toDirectSum_add }
@@ -169,14 +169,14 @@ theorem toAddMonoidAlgebra_zero [Semiring M] [∀ m : M, Decidable (m ≠ 0)] :
 #align direct_sum.to_add_monoid_algebra_zero DirectSum.toAddMonoidAlgebra_zero
 
 @[simp]
-theorem toAddMonoidAlgebra_add [Semiring M] [∀ m : M, Decidable (m ≠ 0)] (f g : ⨁ _i : ι, M) :
+theorem toAddMonoidAlgebra_add [Semiring M] [∀ m : M, Decidable (m ≠ 0)] (f g : ⨁ _ : ι, M) :
     (f + g).toAddMonoidAlgebra = toAddMonoidAlgebra f + toAddMonoidAlgebra g :=
   Dfinsupp.toFinsupp_add _ _
 #align direct_sum.to_add_monoid_algebra_add DirectSum.toAddMonoidAlgebra_add
 
 @[simp]
 theorem toAddMonoidAlgebra_mul [AddMonoid ι] [Semiring M]
-  [∀ m : M, Decidable (m ≠ 0)] (f g : ⨁ _i : ι, M) :
+  [∀ m : M, Decidable (m ≠ 0)] (f g : ⨁ _ : ι, M) :
       (f * g).toAddMonoidAlgebra = toAddMonoidAlgebra f * toAddMonoidAlgebra g := by
   apply_fun AddMonoidAlgebra.toDirectSum
   · simp
@@ -197,7 +197,7 @@ section Equivs
 equiv. -/
 @[simps (config := { fullyApplied := false })]
 def addMonoidAlgebraEquivDirectSum [DecidableEq ι] [Semiring M] [∀ m : M, Decidable (m ≠ 0)] :
-    AddMonoidAlgebra M ι ≃ ⨁ _i : ι, M :=
+    AddMonoidAlgebra M ι ≃ ⨁ _ : ι, M :=
   { finsuppEquivDfinsupp with
     toFun := AddMonoidAlgebra.toDirectSum
     invFun := DirectSum.toAddMonoidAlgebra }
@@ -206,9 +206,8 @@ def addMonoidAlgebraEquivDirectSum [DecidableEq ι] [Semiring M] [∀ m : M, Dec
 /-- The additive version of `AddMonoidAlgebra.addMonoidAlgebraEquivDirectSum`.  -/
 @[simps (config := { fullyApplied := false })]
 def addMonoidAlgebraAddEquivDirectSum [DecidableEq ι] [Semiring M] [∀ m : M, Decidable (m ≠ 0)] :
-    AddMonoidAlgebra M ι ≃+ ⨁ _i : ι, M :=
-  {
-    addMonoidAlgebraEquivDirectSum with
+    AddMonoidAlgebra M ι ≃+ ⨁ _ : ι, M :=
+  { addMonoidAlgebraEquivDirectSum with
     toFun := AddMonoidAlgebra.toDirectSum
     invFun := DirectSum.toAddMonoidAlgebra
     map_add' := AddMonoidAlgebra.toDirectSum_add }
@@ -217,11 +216,8 @@ def addMonoidAlgebraAddEquivDirectSum [DecidableEq ι] [Semiring M] [∀ m : M,
 /-- The ring version of `AddMonoidAlgebra.addMonoidAlgebraEquivDirectSum`.  -/
 @[simps (config := { fullyApplied := false })]
 def addMonoidAlgebraRingEquivDirectSum [DecidableEq ι] [AddMonoid ι] [Semiring M]
-    [∀ m : M, Decidable (m ≠ 0)] : AddMonoidAlgebra M ι ≃+* ⨁ _i : ι, M :=
-  {
-    (addMonoidAlgebraAddEquivDirectSum :
-      AddMonoidAlgebra M ι ≃+
-        ⨁ _i : ι, M) with
+    [∀ m : M, Decidable (m ≠ 0)] : AddMonoidAlgebra M ι ≃+* ⨁ _ : ι, M :=
+  { (addMonoidAlgebraAddEquivDirectSum : AddMonoidAlgebra M ι ≃+ ⨁ _ : ι, M) with
     toFun := AddMonoidAlgebra.toDirectSum
     invFun := DirectSum.toAddMonoidAlgebra
     map_mul' := AddMonoidAlgebra.toDirectSum_mul }
@@ -230,11 +226,8 @@ def addMonoidAlgebraRingEquivDirectSum [DecidableEq ι] [AddMonoid ι] [Semiring
 /-- The algebra version of `AddMonoidAlgebra.addMonoidAlgebraEquivDirectSum`. -/
 @[simps (config := { fullyApplied := false })]
 def addMonoidAlgebraAlgEquivDirectSum [DecidableEq ι] [AddMonoid ι] [CommSemiring R] [Semiring A]
-    [Algebra R A] [∀ m : A, Decidable (m ≠ 0)] : AddMonoidAlgebra A ι ≃ₐ[R] ⨁ _i : ι, A :=
-  {
-    (addMonoidAlgebraRingEquivDirectSum :
-      AddMonoidAlgebra A ι ≃+*
-        ⨁ _i : ι, A) with
+    [Algebra R A] [∀ m : A, Decidable (m ≠ 0)] : AddMonoidAlgebra A ι ≃ₐ[R] ⨁ _ : ι, A :=
+  { (addMonoidAlgebraRingEquivDirectSum : AddMonoidAlgebra A ι ≃+* ⨁ _ : ι, A) with
     toFun := AddMonoidAlgebra.toDirectSum
     invFun := DirectSum.toAddMonoidAlgebra
     commutes' := fun _r => AddMonoidAlgebra.toDirectSum_single _ _ }

c0a51cf2

feat: port Algebra.MonoidAlgebra.ToDirectSum (#4087)

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Chris Hughes <chrishughes24@gmail.com>

ebfb60dc

`algebra.monoid_algebra.to_direct_sum` ⟷ `Mathlib.Algebra.MonoidAlgebra.ToDirectSum`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 431

algebra.monoid_algebra.to_direct_sum ⟷ Mathlib.Algebra.MonoidAlgebra.ToDirectSum

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 431

`algebra.monoid_algebra.to_direct_sum` ⟷ `Mathlib.Algebra.MonoidAlgebra.ToDirectSum`