algebra.direct_sum.ring | 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

70fd9563

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

50251fd6

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -287,8 +287,8 @@ theorem ofPow {i} (a : A i) (n : ℕ) :
   by
   induction' n with n
   · exact of_eq_of_graded_monoid_eq (pow_zero <| GradedMonoid.mk _ a).symm
-  · rw [pow_succ, n_ih, of_mul_of]
-    exact of_eq_of_graded_monoid_eq (pow_succ (GradedMonoid.mk _ a) n).symm
+  · rw [pow_succ', n_ih, of_mul_of]
+    exact of_eq_of_graded_monoid_eq (pow_succ' (GradedMonoid.mk _ a) n).symm
 #align direct_sum.of_pow DirectSum.ofPow
 -/
 
@@ -486,7 +486,7 @@ variable [∀ i, AddCommMonoid (A i)] [AddMonoid ι] [GSemiring A]
 @[simp]
 theorem of_zero_pow (a : A 0) : ∀ n : ℕ, of _ 0 (a ^ n) = of _ 0 a ^ n
   | 0 => by rw [pow_zero, pow_zero, DirectSum.of_zero_one]
-  | n + 1 => by rw [pow_succ, pow_succ, of_zero_mul, of_zero_pow]
+  | n + 1 => by rw [pow_succ', pow_succ', of_zero_mul, of_zero_pow]
 #align direct_sum.of_zero_pow DirectSum.of_zero_pow
 -/

50251fd6

bump to nightly-2024-02-27-08

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

cca8d078

Diff

@@ -493,18 +493,19 @@ theorem of_zero_pow (a : A 0) : ∀ n : ℕ, of _ 0 (a ^ n) = of _ 0 a ^ n
 instance : NatCast (A 0) :=
   ⟨GSemiring.natCast⟩
 
-#print DirectSum.ofNatCast /-
+#print DirectSum.of_natCast /-
 @[simp]
-theorem ofNatCast (n : ℕ) : of A 0 n = n :=
+theorem of_natCast (n : ℕ) : of A 0 n = n :=
   rfl
-#align direct_sum.of_nat_cast DirectSum.ofNatCast
+#align direct_sum.of_nat_cast DirectSum.of_natCast
 -/
 
 #print DirectSum.GradeZero.semiring /-
 /-- The `semiring` structure derived from `gsemiring A`. -/
 instance GradeZero.semiring : Semiring (A 0) :=
   Function.Injective.semiring (of A 0) DFinsupp.single_injective (of A 0).map_zero (of_zero_one A)
-    (of A 0).map_add (of_zero_mul A) (of A 0).map_nsmul (fun x n => of_zero_pow _ _ _) (ofNatCast A)
+    (of A 0).map_add (of_zero_mul A) (of A 0).map_nsmul (fun x n => of_zero_pow _ _ _)
+    (of_natCast A)
 #align direct_sum.grade_zero.semiring DirectSum.GradeZero.semiring
 -/
 
@@ -538,7 +539,7 @@ variable [∀ i, AddCommMonoid (A i)] [AddCommMonoid ι] [GCommSemiring A]
 instance GradeZero.commSemiring : CommSemiring (A 0) :=
   Function.Injective.commSemiring (of A 0) DFinsupp.single_injective (of A 0).map_zero
     (of_zero_one A) (of A 0).map_add (of_zero_mul A) (fun x n => DFinsupp.single_smul n x)
-    (fun x n => of_zero_pow _ _ _) (ofNatCast A)
+    (fun x n => of_zero_pow _ _ _) (of_natCast A)
 #align direct_sum.grade_zero.comm_semiring DirectSum.GradeZero.commSemiring
 -/
 
@@ -571,11 +572,11 @@ variable [∀ i, AddCommGroup (A i)] [AddMonoid ι] [GRing A]
 instance : IntCast (A 0) :=
   ⟨GRing.intCast⟩
 
-#print DirectSum.ofIntCast /-
+#print DirectSum.of_intCast /-
 @[simp]
-theorem ofIntCast (n : ℤ) : of A 0 n = n :=
+theorem of_intCast (n : ℤ) : of A 0 n = n :=
   rfl
-#align direct_sum.of_int_cast DirectSum.ofIntCast
+#align direct_sum.of_int_cast DirectSum.of_intCast
 -/
 
 #print DirectSum.GradeZero.ring /-
@@ -589,7 +590,7 @@ instance GradeZero.ring : Ring (A 0) :=
     (fun x n =>
       letI : ∀ i, DistribMulAction ℤ (A i) := fun i => inferInstance
       DFinsupp.single_smul n x)
-    (fun x n => of_zero_pow _ _ _) (ofNatCast A) (ofIntCast A)
+    (fun x n => of_zero_pow _ _ _) (of_natCast A) (of_intCast A)
 #align direct_sum.grade_zero.ring DirectSum.GradeZero.ring
 -/
 
@@ -610,7 +611,7 @@ instance GradeZero.commRing : CommRing (A 0) :=
     (fun x n =>
       letI : ∀ i, DistribMulAction ℤ (A i) := fun i => inferInstance
       DFinsupp.single_smul n x)
-    (fun x n => of_zero_pow _ _ _) (ofNatCast A) (ofIntCast A)
+    (fun x n => of_zero_pow _ _ _) (of_natCast A) (of_intCast A)
 #align direct_sum.grade_zero.comm_ring DirectSum.GradeZero.commRing
 -/

50251fd6

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,8 +3,8 @@ 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.GradedMonoid
-import Mathbin.Algebra.DirectSum.Basic
+import Algebra.GradedMonoid
+import Algebra.DirectSum.Basic
 
 #align_import algebra.direct_sum.ring from "leanprover-community/mathlib"@"50251fd6309cca5ca2e747882ffecd2729f38c5d"

50251fd6

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 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.direct_sum.ring
-! leanprover-community/mathlib commit 50251fd6309cca5ca2e747882ffecd2729f38c5d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.GradedMonoid
 import Mathbin.Algebra.DirectSum.Basic
 
+#align_import algebra.direct_sum.ring from "leanprover-community/mathlib"@"50251fd6309cca5ca2e747882ffecd2729f38c5d"
+
 /-!
 # Additively-graded multiplicative structures on `⨁ i, A i`

50251fd6

bump to nightly-2023-07-12-07

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

9849f9d1

Diff

@@ -149,7 +149,7 @@ end Defs
 theorem of_eq_of_gradedMonoid_eq {A : ι → Type _} [∀ i : ι, AddCommMonoid (A i)] {i j : ι} {a : A i}
     {b : A j} (h : GradedMonoid.mk i a = GradedMonoid.mk j b) :
     DirectSum.of A i a = DirectSum.of A j b :=
-  Dfinsupp.single_eq_of_sigma_eq h
+  DFinsupp.single_eq_of_sigma_eq h
 #align direct_sum.of_eq_of_graded_monoid_eq DirectSum.of_eq_of_gradedMonoid_eq
 -/
 
@@ -321,7 +321,7 @@ theorem mul_eq_dfinsupp_sum [∀ (i : ι) (x : A i), Decidable (x ≠ 0)] (a a'
     a * a' = a.Sum fun i ai => a'.Sum fun j aj => DirectSum.of _ _ <| GradedMonoid.GMul.mul ai aj :=
   by
   change MulHom _ a a' = _
-  simpa only [MulHom, to_add_monoid, Dfinsupp.liftAddHom_apply, Dfinsupp.sumAddHom_apply,
+  simpa only [MulHom, to_add_monoid, DFinsupp.liftAddHom_apply, DFinsupp.sumAddHom_apply,
     AddMonoidHom.dfinsupp_sum_apply, flip_apply, AddMonoidHom.dfinsupp_sumAddHom_apply]
 #align direct_sum.mul_eq_dfinsupp_sum DirectSum.mul_eq_dfinsupp_sum
 -/
@@ -331,9 +331,9 @@ theorem mul_eq_dfinsupp_sum [∀ (i : ι) (x : A i), Decidable (x ≠ 0)] (a a'
 /-- A heavily unfolded version of the definition of multiplication -/
 theorem mul_eq_sum_support_ghas_mul [∀ (i : ι) (x : A i), Decidable (x ≠ 0)] (a a' : ⨁ i, A i) :
     a * a' =
-      ∑ ij in Dfinsupp.support a ×ˢ Dfinsupp.support a',
+      ∑ ij in DFinsupp.support a ×ˢ DFinsupp.support a',
         DirectSum.of _ _ (GradedMonoid.GMul.mul (a ij.fst) (a' ij.snd)) :=
-  by simp only [mul_eq_dfinsupp_sum, Dfinsupp.sum, Finset.sum_product]
+  by simp only [mul_eq_dfinsupp_sum, DFinsupp.sum, Finset.sum_product]
 #align direct_sum.mul_eq_sum_support_ghas_mul DirectSum.mul_eq_sum_support_ghas_mul
 -/
 
@@ -466,8 +466,8 @@ theorem of_zero_mul (a b : A 0) : of _ 0 (a * b) = of _ 0 a * of _ 0 b :=
 
 #print DirectSum.GradeZero.nonUnitalNonAssocSemiring /-
 instance GradeZero.nonUnitalNonAssocSemiring : NonUnitalNonAssocSemiring (A 0) :=
-  Function.Injective.nonUnitalNonAssocSemiring (of A 0) Dfinsupp.single_injective (of A 0).map_zero
-    (of A 0).map_add (of_zero_mul A) fun x n => Dfinsupp.single_smul n x
+  Function.Injective.nonUnitalNonAssocSemiring (of A 0) DFinsupp.single_injective (of A 0).map_zero
+    (of A 0).map_add (of_zero_mul A) fun x n => DFinsupp.single_smul n x
 #align direct_sum.grade_zero.non_unital_non_assoc_semiring DirectSum.GradeZero.nonUnitalNonAssocSemiring
 -/
 
@@ -506,7 +506,7 @@ theorem ofNatCast (n : ℕ) : of A 0 n = n :=
 #print DirectSum.GradeZero.semiring /-
 /-- The `semiring` structure derived from `gsemiring A`. -/
 instance GradeZero.semiring : Semiring (A 0) :=
-  Function.Injective.semiring (of A 0) Dfinsupp.single_injective (of A 0).map_zero (of_zero_one A)
+  Function.Injective.semiring (of A 0) DFinsupp.single_injective (of A 0).map_zero (of_zero_one A)
     (of A 0).map_add (of_zero_mul A) (of A 0).map_nsmul (fun x n => of_zero_pow _ _ _) (ofNatCast A)
 #align direct_sum.grade_zero.semiring DirectSum.GradeZero.semiring
 -/
@@ -539,8 +539,8 @@ variable [∀ i, AddCommMonoid (A i)] [AddCommMonoid ι] [GCommSemiring A]
 #print DirectSum.GradeZero.commSemiring /-
 /-- The `comm_semiring` structure derived from `gcomm_semiring A`. -/
 instance GradeZero.commSemiring : CommSemiring (A 0) :=
-  Function.Injective.commSemiring (of A 0) Dfinsupp.single_injective (of A 0).map_zero
-    (of_zero_one A) (of A 0).map_add (of_zero_mul A) (fun x n => Dfinsupp.single_smul n x)
+  Function.Injective.commSemiring (of A 0) DFinsupp.single_injective (of A 0).map_zero
+    (of_zero_one A) (of A 0).map_add (of_zero_mul A) (fun x n => DFinsupp.single_smul n x)
     (fun x n => of_zero_pow _ _ _) (ofNatCast A)
 #align direct_sum.grade_zero.comm_semiring DirectSum.GradeZero.commSemiring
 -/
@@ -554,14 +554,14 @@ variable [∀ i, AddCommGroup (A i)] [AddZeroClass ι] [GNonUnitalNonAssocSemiri
 #print DirectSum.GradeZero.nonUnitalNonAssocRing /-
 /-- The `non_unital_non_assoc_ring` derived from `gnon_unital_non_assoc_semiring A`. -/
 instance GradeZero.nonUnitalNonAssocRing : NonUnitalNonAssocRing (A 0) :=
-  Function.Injective.nonUnitalNonAssocRing (of A 0) Dfinsupp.single_injective (of A 0).map_zero
+  Function.Injective.nonUnitalNonAssocRing (of A 0) DFinsupp.single_injective (of A 0).map_zero
     (of A 0).map_add (of_zero_mul A) (of A 0).map_neg (of A 0).map_sub
     (fun x n =>
       letI : ∀ i, DistribMulAction ℕ (A i) := fun i => inferInstance
-      Dfinsupp.single_smul n x)
+      DFinsupp.single_smul n x)
     fun x n =>
     letI : ∀ i, DistribMulAction ℤ (A i) := fun i => inferInstance
-    Dfinsupp.single_smul n x
+    DFinsupp.single_smul n x
 #align direct_sum.grade_zero.non_unital_non_assoc_ring DirectSum.GradeZero.nonUnitalNonAssocRing
 -/
 
@@ -584,14 +584,14 @@ theorem ofIntCast (n : ℤ) : of A 0 n = n :=
 #print DirectSum.GradeZero.ring /-
 /-- The `ring` derived from `gsemiring A`. -/
 instance GradeZero.ring : Ring (A 0) :=
-  Function.Injective.ring (of A 0) Dfinsupp.single_injective (of A 0).map_zero (of_zero_one A)
+  Function.Injective.ring (of A 0) DFinsupp.single_injective (of A 0).map_zero (of_zero_one A)
     (of A 0).map_add (of_zero_mul A) (of A 0).map_neg (of A 0).map_sub
     (fun x n =>
       letI : ∀ i, DistribMulAction ℕ (A i) := fun i => inferInstance
-      Dfinsupp.single_smul n x)
+      DFinsupp.single_smul n x)
     (fun x n =>
       letI : ∀ i, DistribMulAction ℤ (A i) := fun i => inferInstance
-      Dfinsupp.single_smul n x)
+      DFinsupp.single_smul n x)
     (fun x n => of_zero_pow _ _ _) (ofNatCast A) (ofIntCast A)
 #align direct_sum.grade_zero.ring DirectSum.GradeZero.ring
 -/
@@ -605,14 +605,14 @@ variable [∀ i, AddCommGroup (A i)] [AddCommMonoid ι] [GCommRing A]
 #print DirectSum.GradeZero.commRing /-
 /-- The `comm_ring` derived from `gcomm_semiring A`. -/
 instance GradeZero.commRing : CommRing (A 0) :=
-  Function.Injective.commRing (of A 0) Dfinsupp.single_injective (of A 0).map_zero (of_zero_one A)
+  Function.Injective.commRing (of A 0) DFinsupp.single_injective (of A 0).map_zero (of_zero_one A)
     (of A 0).map_add (of_zero_mul A) (of A 0).map_neg (of A 0).map_sub
     (fun x n =>
       letI : ∀ i, DistribMulAction ℕ (A i) := fun i => inferInstance
-      Dfinsupp.single_smul n x)
+      DFinsupp.single_smul n x)
     (fun x n =>
       letI : ∀ i, DistribMulAction ℤ (A i) := fun i => inferInstance
-      Dfinsupp.single_smul n x)
+      DFinsupp.single_smul n x)
     (fun x n => of_zero_pow _ _ _) (ofNatCast A) (ofIntCast A)
 #align direct_sum.grade_zero.comm_ring DirectSum.GradeZero.commRing
 -/

50251fd6

bump to nightly-2023-06-20-01

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

9b351f8c

Diff

@@ -262,7 +262,7 @@ private theorem mul_assoc (a b c : ⨁ i, A i) : a * b * c = a * (b * c) :=
                     A).flip.compHom.comp
             (mulHom A)).flip
     from AddMonoidHom.congr_fun (AddMonoidHom.congr_fun (AddMonoidHom.congr_fun this a) b) c
-  ext (ai ax bi bx ci cx) : 6
+  ext ai ax bi bx ci cx : 6
   dsimp only [coe_comp, Function.comp_apply, comp_hom_apply_apply, flip_apply, flip_hom_apply]
   rw [mul_hom_of_of, mul_hom_of_of, mul_hom_of_of, mul_hom_of_of]
   exact of_eq_of_graded_monoid_eq (mul_assoc (GradedMonoid.mk ai ax) ⟨bi, bx⟩ ⟨ci, cx⟩)
@@ -666,7 +666,7 @@ def toSemiring (f : ∀ i, A i →+ R) (hone : f _ GradedMonoid.GOne.one = 1)
       exact hone
     map_mul' := by
       rw [(to_add_monoid f).map_mul_iff]
-      ext (xi xv yi yv) : 4
+      ext xi xv yi yv : 4
       show
         to_add_monoid f (of A xi xv * of A yi yv) =
           to_add_monoid f (of A xi xv) * to_add_monoid f (of A yi yv)
@@ -713,11 +713,11 @@ def liftRingHom :
       simp only [AddMonoidHom.comp_apply, RingHom.coe_addMonoidHom]
       rw [← F.map_mul, of_mul_of]⟩
   left_inv f := by
-    ext (xi xv)
+    ext xi xv
     exact to_add_monoid_of (fun _ => f.1) xi xv
   right_inv F := by
     apply RingHom.coe_addMonoidHom_injective
-    ext (xi xv)
+    ext xi xv
     simp only [RingHom.coe_addMonoidHom_mk, DirectSum.toAddMonoid_of, AddMonoidHom.mk_coe,
       AddMonoidHom.comp_apply, to_semiring_coe_add_monoid_hom]
 #align direct_sum.lift_ring_hom DirectSum.liftRingHom

50251fd6

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -94,6 +94,7 @@ section Defs
 
 variable (A : ι → Type _)
 
+#print DirectSum.GNonUnitalNonAssocSemiring /-
 /-- A graded version of `non_unital_non_assoc_semiring`. -/
 class GNonUnitalNonAssocSemiring [Add ι] [∀ i, AddCommMonoid (A i)] extends
     GradedMonoid.GMul A where
@@ -102,6 +103,7 @@ class GNonUnitalNonAssocSemiring [Add ι] [∀ i, AddCommMonoid (A i)] extends
   mul_add : ∀ {i j} (a : A i) (b c : A j), mul a (b + c) = mul a b + mul a c
   add_mul : ∀ {i j} (a b : A i) (c : A j), mul (a + b) c = mul a c + mul b c
 #align direct_sum.gnon_unital_non_assoc_semiring DirectSum.GNonUnitalNonAssocSemiring
+-/
 
 end Defs
 
@@ -109,6 +111,7 @@ section Defs
 
 variable (A : ι → Type _)
 
+#print DirectSum.GSemiring /-
 /-- A graded version of `semiring`. -/
 class GSemiring [AddMonoid ι] [∀ i, AddCommMonoid (A i)] extends GNonUnitalNonAssocSemiring A,
     GradedMonoid.GMonoid A where
@@ -116,30 +119,39 @@ class GSemiring [AddMonoid ι] [∀ i, AddCommMonoid (A i)] extends GNonUnitalNo
   natCast_zero : nat_cast 0 = 0
   natCast_succ : ∀ n : ℕ, nat_cast (n + 1) = nat_cast n + GradedMonoid.GOne.one
 #align direct_sum.gsemiring DirectSum.GSemiring
+-/
 
+#print DirectSum.GCommSemiring /-
 /-- A graded version of `comm_semiring`. -/
 class GCommSemiring [AddCommMonoid ι] [∀ i, AddCommMonoid (A i)] extends GSemiring A,
     GradedMonoid.GCommMonoid A
 #align direct_sum.gcomm_semiring DirectSum.GCommSemiring
+-/
 
+#print DirectSum.GRing /-
 /-- A graded version of `ring`. -/
 class GRing [AddMonoid ι] [∀ i, AddCommGroup (A i)] extends GSemiring A where
   intCast : ℤ → A 0
   intCast_ofNat : ∀ n : ℕ, int_cast n = nat_cast n
   intCast_negSucc : ∀ n : ℕ, int_cast (-(n + 1 : ℕ)) = -nat_cast (n + 1 : ℕ)
 #align direct_sum.gring DirectSum.GRing
+-/
 
+#print DirectSum.GCommRing /-
 /-- A graded version of `comm_ring`. -/
 class GCommRing [AddCommMonoid ι] [∀ i, AddCommGroup (A i)] extends GRing A, GCommSemiring A
 #align direct_sum.gcomm_ring DirectSum.GCommRing
+-/
 
 end Defs
 
+#print DirectSum.of_eq_of_gradedMonoid_eq /-
 theorem of_eq_of_gradedMonoid_eq {A : ι → Type _} [∀ i : ι, AddCommMonoid (A i)] {i j : ι} {a : A i}
     {b : A j} (h : GradedMonoid.mk i a = GradedMonoid.mk j b) :
     DirectSum.of A i a = DirectSum.of A j b :=
   Dfinsupp.single_eq_of_sigma_eq h
 #align direct_sum.of_eq_of_graded_monoid_eq DirectSum.of_eq_of_gradedMonoid_eq
+-/
 
 variable (A : ι → Type _)
 
@@ -160,6 +172,7 @@ variable [Add ι] [∀ i, AddCommMonoid (A i)] [GNonUnitalNonAssocSemiring A]
 
 open AddMonoidHom (flip_apply coe_comp compHom_apply_apply)
 
+#print DirectSum.gMulHom /-
 /-- The piecewise multiplication from the `has_mul` instance, as a bundled homomorphism. -/
 @[simps]
 def gMulHom {i j} : A i →+ A j →+ A (i + j)
@@ -171,6 +184,7 @@ def gMulHom {i j} : A i →+ A j →+ A (i + j)
   map_zero' := AddMonoidHom.ext fun a => GNonUnitalNonAssocSemiring.zero_mul a
   map_add' a₁ a₂ := AddMonoidHom.ext fun b => GNonUnitalNonAssocSemiring.add_mul _ _ _
 #align direct_sum.gmul_hom DirectSum.gMulHom
+-/
 
 #print DirectSum.mulHom /-
 /-- The multiplication from the `has_mul` instance, as a bundled homomorphism. -/
@@ -194,6 +208,7 @@ instance : NonUnitalNonAssocSemiring (⨁ i, A i) :=
 
 variable {A}
 
+#print DirectSum.mulHom_of_of /-
 theorem mulHom_of_of {i j} (a : A i) (b : A j) :
     mulHom A (of _ i a) (of _ j b) = of _ (i + j) (GradedMonoid.GMul.mul a b) :=
   by
@@ -201,11 +216,14 @@ theorem mulHom_of_of {i j} (a : A i) (b : A j) :
   rw [to_add_monoid_of, flip_apply, to_add_monoid_of, flip_apply, coe_comp, Function.comp_apply,
     comp_hom_apply_apply, coe_comp, Function.comp_apply, gmul_hom_apply_apply]
 #align direct_sum.mul_hom_of_of DirectSum.mulHom_of_of
+-/
 
+#print DirectSum.of_mul_of /-
 theorem of_mul_of {i j} (a : A i) (b : A j) :
     of _ i a * of _ j b = of _ (i + j) (GradedMonoid.GMul.mul a b) :=
   mulHom_of_of a b
 #align direct_sum.of_mul_of DirectSum.of_mul_of
+-/
 
 end Mul
 
@@ -266,6 +284,7 @@ instance semiring : Semiring (⨁ i, A i) :=
 #align direct_sum.semiring DirectSum.semiring
 -/
 
+#print DirectSum.ofPow /-
 theorem ofPow {i} (a : A i) (n : ℕ) :
     of _ i a ^ n = of _ (n • i) (GradedMonoid.GMonoid.gnpow _ a) :=
   by
@@ -274,7 +293,9 @@ theorem ofPow {i} (a : A i) (n : ℕ) :
   · rw [pow_succ, n_ih, of_mul_of]
     exact of_eq_of_graded_monoid_eq (pow_succ (GradedMonoid.mk _ a) n).symm
 #align direct_sum.of_pow DirectSum.ofPow
+-/
 
+#print DirectSum.ofList_dProd /-
 theorem ofList_dProd {α} (l : List α) (fι : α → ι) (fA : ∀ a, A (fι a)) :
     of A _ (l.dProd fι fA) = (l.map fun a => of A (fι a) (fA a)).Prod :=
   by
@@ -284,11 +305,14 @@ theorem ofList_dProd {α} (l : List α) (fι : α → ι) (fA : ∀ a, A (fι a)
   · simp only [List.map_cons, List.prod_cons, List.dProd_cons, ← l_ih, DirectSum.of_mul_of]
     rfl
 #align direct_sum.of_list_dprod DirectSum.ofList_dProd
+-/
 
+#print DirectSum.list_prod_ofFn_of_eq_dProd /-
 theorem list_prod_ofFn_of_eq_dProd (n : ℕ) (fι : Fin n → ι) (fA : ∀ a, A (fι a)) :
     (List.ofFn fun a => of A (fι a) (fA a)).Prod = of A _ ((List.finRange n).dProd fι fA) := by
   rw [List.ofFn_eq_map, of_list_dprod]
 #align direct_sum.list_prod_of_fn_of_eq_dprod DirectSum.list_prod_ofFn_of_eq_dProd
+-/
 
 open scoped BigOperators
 
@@ -413,10 +437,12 @@ section One
 
 variable [Zero ι] [GradedMonoid.GOne A] [∀ i, AddCommMonoid (A i)]
 
+#print DirectSum.of_zero_one /-
 @[simp]
 theorem of_zero_one : of _ 0 (1 : A 0) = 1 :=
   rfl
 #align direct_sum.of_zero_one DirectSum.of_zero_one
+-/
 
 end One
 
@@ -424,15 +450,19 @@ section Mul
 
 variable [AddZeroClass ι] [∀ i, AddCommMonoid (A i)] [GNonUnitalNonAssocSemiring A]
 
+#print DirectSum.of_zero_smul /-
 @[simp]
 theorem of_zero_smul {i} (a : A 0) (b : A i) : of _ _ (a • b) = of _ _ a * of _ _ b :=
   (of_eq_of_gradedMonoid_eq (GradedMonoid.mk_zero_smul a b)).trans (of_mul_of _ _).symm
 #align direct_sum.of_zero_smul DirectSum.of_zero_smul
+-/
 
+#print DirectSum.of_zero_mul /-
 @[simp]
 theorem of_zero_mul (a b : A 0) : of _ 0 (a * b) = of _ 0 a * of _ 0 b :=
   of_zero_smul A a b
 #align direct_sum.of_zero_mul DirectSum.of_zero_mul
+-/
 
 #print DirectSum.GradeZero.nonUnitalNonAssocSemiring /-
 instance GradeZero.nonUnitalNonAssocSemiring : NonUnitalNonAssocSemiring (A 0) :=
@@ -455,19 +485,23 @@ section Semiring
 
 variable [∀ i, AddCommMonoid (A i)] [AddMonoid ι] [GSemiring A]
 
+#print DirectSum.of_zero_pow /-
 @[simp]
 theorem of_zero_pow (a : A 0) : ∀ n : ℕ, of _ 0 (a ^ n) = of _ 0 a ^ n
   | 0 => by rw [pow_zero, pow_zero, DirectSum.of_zero_one]
   | n + 1 => by rw [pow_succ, pow_succ, of_zero_mul, of_zero_pow]
 #align direct_sum.of_zero_pow DirectSum.of_zero_pow
+-/
 
 instance : NatCast (A 0) :=
   ⟨GSemiring.natCast⟩
 
+#print DirectSum.ofNatCast /-
 @[simp]
 theorem ofNatCast (n : ℕ) : of A 0 n = n :=
   rfl
 #align direct_sum.of_nat_cast DirectSum.ofNatCast
+-/
 
 #print DirectSum.GradeZero.semiring /-
 /-- The `semiring` structure derived from `gsemiring A`. -/
@@ -540,10 +574,12 @@ variable [∀ i, AddCommGroup (A i)] [AddMonoid ι] [GRing A]
 instance : IntCast (A 0) :=
   ⟨GRing.intCast⟩
 
+#print DirectSum.ofIntCast /-
 @[simp]
 theorem ofIntCast (n : ℤ) : of A 0 n = n :=
   rfl
 #align direct_sum.of_int_cast DirectSum.ofIntCast
+-/
 
 #print DirectSum.GradeZero.ring /-
 /-- The `ring` derived from `gsemiring A`. -/
@@ -591,6 +627,7 @@ variable {R : Type _} [∀ i, AddCommMonoid (A i)] [AddMonoid ι] [GSemiring A]
 
 variable {A}
 
+#print DirectSum.ringHom_ext' /-
 /-- If two ring homomorphisms from `⨁ i, A i` are equal on each `of A i y`,
 then they are equal.
 
@@ -600,11 +637,14 @@ theorem ringHom_ext' ⦃F G : (⨁ i, A i) →+* R⦄
     (h : ∀ i, (↑F : _ →+ R).comp (of A i) = (↑G : _ →+ R).comp (of A i)) : F = G :=
   RingHom.coe_addMonoidHom_injective <| DirectSum.addHom_ext' h
 #align direct_sum.ring_hom_ext' DirectSum.ringHom_ext'
+-/
 
+#print DirectSum.ringHom_ext /-
 /-- Two `ring_hom`s out of a direct sum are equal if they agree on the generators. -/
 theorem ringHom_ext ⦃f g : (⨁ i, A i) →+* R⦄ (h : ∀ i x, f (of A i x) = g (of A i x)) : f = g :=
   ringHom_ext' fun i => AddMonoidHom.ext <| h i
 #align direct_sum.ring_hom_ext DirectSum.ringHom_ext
+-/
 
 #print DirectSum.toSemiring /-
 /-- A family of `add_monoid_hom`s preserving `direct_sum.ghas_one.one` and `direct_sum.ghas_mul.mul`
@@ -635,17 +675,21 @@ def toSemiring (f : ∀ i, A i →+ R) (hone : f _ GradedMonoid.GOne.one = 1)
 #align direct_sum.to_semiring DirectSum.toSemiring
 -/
 
+#print DirectSum.toSemiring_of /-
 @[simp]
 theorem toSemiring_of (f : ∀ i, A i →+ R) (hone hmul) (i : ι) (x : A i) :
     toSemiring f hone hmul (of _ i x) = f _ x :=
   toAddMonoid_of f i x
 #align direct_sum.to_semiring_of DirectSum.toSemiring_of
+-/
 
+#print DirectSum.toSemiring_coe_addMonoidHom /-
 @[simp]
 theorem toSemiring_coe_addMonoidHom (f : ∀ i, A i →+ R) (hone hmul) :
     (toSemiring f hone hmul : (⨁ i, A i) →+ R) = toAddMonoid f :=
   rfl
 #align direct_sum.to_semiring_coe_add_monoid_hom DirectSum.toSemiring_coe_addMonoidHom
+-/
 
 #print DirectSum.liftRingHom /-
 /-- Families of `add_monoid_hom`s preserving `direct_sum.ghas_one.one` and `direct_sum.ghas_mul.mul`
@@ -690,6 +734,7 @@ section Uniform
 
 variable (ι)
 
+#print NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring /-
 /-- A direct sum of copies of a `semiring` inherits the multiplication structure. -/
 instance NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring {R : Type _} [AddMonoid ι]
     [NonUnitalNonAssocSemiring R] : DirectSum.GNonUnitalNonAssocSemiring fun i : ι => R :=
@@ -699,7 +744,9 @@ instance NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring {R : Type
     mul_add := fun i j => mul_add
     add_mul := fun i j => add_mul }
 #align non_unital_non_assoc_semiring.direct_sum_gnon_unital_non_assoc_semiring NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring
+-/
 
+#print Semiring.directSumGSemiring /-
 /-- A direct sum of copies of a `semiring` inherits the multiplication structure. -/
 instance Semiring.directSumGSemiring {R : Type _} [AddMonoid ι] [Semiring R] :
     DirectSum.GSemiring fun i : ι => R :=
@@ -709,6 +756,7 @@ instance Semiring.directSumGSemiring {R : Type _} [AddMonoid ι] [Semiring R] :
     natCast_zero := Nat.cast_zero
     natCast_succ := Nat.cast_succ }
 #align semiring.direct_sum_gsemiring Semiring.directSumGSemiring
+-/
 
 open scoped DirectSum
 
@@ -717,12 +765,14 @@ example {R : Type _} [AddMonoid ι] [Semiring R] (i j : ι) (a b : R) :
     (DirectSum.of _ i a * DirectSum.of _ j b : ⨁ i, R) = DirectSum.of _ (i + j) (a * b) := by
   rw [DirectSum.of_mul_of, Mul.gMul_mul]
 
+#print CommSemiring.directSumGCommSemiring /-
 /-- A direct sum of copies of a `comm_semiring` inherits the commutative multiplication structure.
 -/
 instance CommSemiring.directSumGCommSemiring {R : Type _} [AddCommMonoid ι] [CommSemiring R] :
     DirectSum.GCommSemiring fun i : ι => R :=
   { CommMonoid.gCommMonoid ι, Semiring.directSumGSemiring ι with }
 #align comm_semiring.direct_sum_gcomm_semiring CommSemiring.directSumGCommSemiring
+-/
 
 end Uniform

50251fd6

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -96,7 +96,7 @@ variable (A : ι → Type _)
 
 /-- A graded version of `non_unital_non_assoc_semiring`. -/
 class GNonUnitalNonAssocSemiring [Add ι] [∀ i, AddCommMonoid (A i)] extends
-  GradedMonoid.GMul A where
+    GradedMonoid.GMul A where
   mul_zero : ∀ {i j} (a : A i), mul a (0 : A j) = 0
   zero_mul : ∀ {i j} (b : A j), mul (0 : A i) b = 0
   mul_add : ∀ {i j} (a : A i) (b c : A j), mul a (b + c) = mul a b + mul a c
@@ -111,7 +111,7 @@ variable (A : ι → Type _)
 
 /-- A graded version of `semiring`. -/
 class GSemiring [AddMonoid ι] [∀ i, AddCommMonoid (A i)] extends GNonUnitalNonAssocSemiring A,
-  GradedMonoid.GMonoid A where
+    GradedMonoid.GMonoid A where
   natCast : ℕ → A 0
   natCast_zero : nat_cast 0 = 0
   natCast_succ : ∀ n : ℕ, nat_cast (n + 1) = nat_cast n + GradedMonoid.GOne.one
@@ -119,7 +119,7 @@ class GSemiring [AddMonoid ι] [∀ i, AddCommMonoid (A i)] extends GNonUnitalNo
 
 /-- A graded version of `comm_semiring`. -/
 class GCommSemiring [AddCommMonoid ι] [∀ i, AddCommMonoid (A i)] extends GSemiring A,
-  GradedMonoid.GCommMonoid A
+    GradedMonoid.GCommMonoid A
 #align direct_sum.gcomm_semiring DirectSum.GCommSemiring
 
 /-- A graded version of `ring`. -/

50251fd6

bump to nightly-2023-06-01-04

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

4d9eaa85

Diff

@@ -215,34 +215,23 @@ variable [∀ i, AddCommMonoid (A i)] [AddMonoid ι] [GSemiring A]
 
 open AddMonoidHom (flipHom coe_comp compHom_apply_apply flip_apply flipHom_apply)
 
-/- warning: direct_sum.one_mul clashes with [anonymous] -> [anonymous]
-Case conversion may be inaccurate. Consider using '#align direct_sum.one_mul [anonymous]ₓ'. -/
-#print [anonymous] /-
-private theorem [anonymous] (x : ⨁ i, A i) : 1 * x = x :=
+private theorem one_mul (x : ⨁ i, A i) : 1 * x = x :=
   by
   suffices mulHom A 1 = AddMonoidHom.id (⨁ i, A i) from AddMonoidHom.congr_fun this x
   apply add_hom_ext; intro i xi
   unfold One.one
   rw [mul_hom_of_of]
   exact of_eq_of_graded_monoid_eq (one_mul <| GradedMonoid.mk i xi)
--/
 
-/- warning: direct_sum.mul_one clashes with [anonymous] -> [anonymous]
-Case conversion may be inaccurate. Consider using '#align direct_sum.mul_one [anonymous]ₓ'. -/
-#print [anonymous] /-
-private theorem [anonymous] (x : ⨁ i, A i) : x * 1 = x :=
+private theorem mul_one (x : ⨁ i, A i) : x * 1 = x :=
   by
   suffices (mulHom A).flip 1 = AddMonoidHom.id (⨁ i, A i) from AddMonoidHom.congr_fun this x
   apply add_hom_ext; intro i xi
   unfold One.one
   rw [flip_apply, mul_hom_of_of]
   exact of_eq_of_graded_monoid_eq (mul_one <| GradedMonoid.mk i xi)
--/
 
-/- warning: direct_sum.mul_assoc clashes with [anonymous] -> [anonymous]
-Case conversion may be inaccurate. Consider using '#align direct_sum.mul_assoc [anonymous]ₓ'. -/
-#print [anonymous] /-
-private theorem [anonymous] (a b c : ⨁ i, A i) : a * b * c = a * (b * c) :=
+private theorem mul_assoc (a b c : ⨁ i, A i) : a * b * c = a * (b * c) :=
   by
   suffices
     (-- `λ a b c, a * b * c` as a bundled hom
@@ -259,7 +248,6 @@ private theorem [anonymous] (a b c : ⨁ i, A i) : a * b * c = a * (b * c) :=
   dsimp only [coe_comp, Function.comp_apply, comp_hom_apply_apply, flip_apply, flip_hom_apply]
   rw [mul_hom_of_of, mul_hom_of_of, mul_hom_of_of, mul_hom_of_of]
   exact of_eq_of_graded_monoid_eq (mul_assoc (GradedMonoid.mk ai ax) ⟨bi, bx⟩ ⟨ci, cx⟩)
--/
 
 #print DirectSum.semiring /-
 /-- The `semiring` structure derived from `gsemiring A`. -/
@@ -331,16 +319,12 @@ section CommSemiring
 
 variable [∀ i, AddCommMonoid (A i)] [AddCommMonoid ι] [GCommSemiring A]
 
-/- warning: direct_sum.mul_comm clashes with [anonymous] -> [anonymous]
-Case conversion may be inaccurate. Consider using '#align direct_sum.mul_comm [anonymous]ₓ'. -/
-#print [anonymous] /-
-private theorem [anonymous] (a b : ⨁ i, A i) : a * b = b * a :=
+private theorem mul_comm (a b : ⨁ i, A i) : a * b = b * a :=
   by
   suffices mulHom A = (mulHom A).flip from AddMonoidHom.congr_fun (AddMonoidHom.congr_fun this a) b
   apply add_hom_ext; intro ai ax; apply add_hom_ext; intro bi bx
   rw [AddMonoidHom.flip_apply, mul_hom_of_of, mul_hom_of_of]
   exact of_eq_of_graded_monoid_eq (gcomm_semiring.mul_comm ⟨ai, ax⟩ ⟨bi, bx⟩)
--/
 
 #print DirectSum.commSemiring /-
 /-- The `comm_semiring` structure derived from `gcomm_semiring A`. -/
@@ -678,11 +662,11 @@ def liftRingHom :
   invFun F :=
     ⟨fun i => (F : (⨁ i, A i) →+ R).comp (of _ i),
       by
-      simp only [AddMonoidHom.comp_apply, [anonymous]]
+      simp only [AddMonoidHom.comp_apply, RingHom.coe_addMonoidHom]
       rw [← F.map_one]
       rfl, fun i j ai aj =>
       by
-      simp only [AddMonoidHom.comp_apply, [anonymous]]
+      simp only [AddMonoidHom.comp_apply, RingHom.coe_addMonoidHom]
       rw [← F.map_mul, of_mul_of]⟩
   left_inv f := by
     ext (xi xv)

50251fd6

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -85,7 +85,7 @@ variable {ι : Type _} [DecidableEq ι]
 
 namespace DirectSum
 
-open DirectSum
+open scoped DirectSum
 
 /-! ### Typeclasses -/
 
@@ -302,7 +302,7 @@ theorem list_prod_ofFn_of_eq_dProd (n : ℕ) (fι : Fin n → ι) (fA : ∀ a, A
   rw [List.ofFn_eq_map, of_list_dprod]
 #align direct_sum.list_prod_of_fn_of_eq_dprod DirectSum.list_prod_ofFn_of_eq_dProd
 
-open BigOperators
+open scoped BigOperators
 
 #print DirectSum.mul_eq_dfinsupp_sum /-
 theorem mul_eq_dfinsupp_sum [∀ (i : ι) (x : A i), Decidable (x ≠ 0)] (a a' : ⨁ i, A i) :
@@ -726,7 +726,7 @@ instance Semiring.directSumGSemiring {R : Type _} [AddMonoid ι] [Semiring R] :
     natCast_succ := Nat.cast_succ }
 #align semiring.direct_sum_gsemiring Semiring.directSumGSemiring
 
-open DirectSum
+open scoped DirectSum
 
 -- To check `has_mul.ghas_mul_mul` matches
 example {R : Type _} [AddMonoid ι] [Semiring R] (i j : ι) (a b : R) :

50251fd6

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -94,12 +94,6 @@ section Defs
 
 variable (A : ι → Type _)
 
-/- warning: direct_sum.gnon_unital_non_assoc_semiring -> DirectSum.GNonUnitalNonAssocSemiring is a dubious translation:
-lean 3 declaration is
-  forall {ι : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} ι] (A : ι -> Type.{u2}) [_inst_2 : Add.{u1} ι] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (A i)], Sort.{max (succ u1) (succ u2)}
-but is expected to have type
-  forall {ι : Type.{u1}} (_inst_1 : ι -> Type.{u2}) [A : Add.{u1} ι] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (_inst_1 i)], Sort.{max (succ u1) (succ u2)}
-Case conversion may be inaccurate. Consider using '#align direct_sum.gnon_unital_non_assoc_semiring DirectSum.GNonUnitalNonAssocSemiringₓ'. -/
 /-- A graded version of `non_unital_non_assoc_semiring`. -/
 class GNonUnitalNonAssocSemiring [Add ι] [∀ i, AddCommMonoid (A i)] extends
   GradedMonoid.GMul A where
@@ -115,12 +109,6 @@ section Defs
 
 variable (A : ι → Type _)
 
-/- warning: direct_sum.gsemiring -> DirectSum.GSemiring is a dubious translation:
-lean 3 declaration is
-  forall {ι : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} ι] (A : ι -> Type.{u2}) [_inst_2 : AddMonoid.{u1} ι] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (A i)], Sort.{max (succ u1) (succ u2)}
-but is expected to have type
-  forall {ι : Type.{u1}} (_inst_1 : ι -> Type.{u2}) [A : AddMonoid.{u1} ι] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (_inst_1 i)], Sort.{max (succ u1) (succ u2)}
-Case conversion may be inaccurate. Consider using '#align direct_sum.gsemiring DirectSum.GSemiringₓ'. -/
 /-- A graded version of `semiring`. -/
 class GSemiring [AddMonoid ι] [∀ i, AddCommMonoid (A i)] extends GNonUnitalNonAssocSemiring A,
   GradedMonoid.GMonoid A where
@@ -129,23 +117,11 @@ class GSemiring [AddMonoid ι] [∀ i, AddCommMonoid (A i)] extends GNonUnitalNo
   natCast_succ : ∀ n : ℕ, nat_cast (n + 1) = nat_cast n + GradedMonoid.GOne.one
 #align direct_sum.gsemiring DirectSum.GSemiring
 
-/- warning: direct_sum.gcomm_semiring -> DirectSum.GCommSemiring is a dubious translation:
-lean 3 declaration is
-  forall {ι : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} ι] (A : ι -> Type.{u2}) [_inst_2 : AddCommMonoid.{u1} ι] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (A i)], Sort.{max (succ u1) (succ u2)}
-but is expected to have type
-  forall {ι : Type.{u1}} (_inst_1 : ι -> Type.{u2}) [A : AddCommMonoid.{u1} ι] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (_inst_1 i)], Sort.{max (succ u1) (succ u2)}
-Case conversion may be inaccurate. Consider using '#align direct_sum.gcomm_semiring DirectSum.GCommSemiringₓ'. -/
 /-- A graded version of `comm_semiring`. -/
 class GCommSemiring [AddCommMonoid ι] [∀ i, AddCommMonoid (A i)] extends GSemiring A,
   GradedMonoid.GCommMonoid A
 #align direct_sum.gcomm_semiring DirectSum.GCommSemiring
 
-/- warning: direct_sum.gring -> DirectSum.GRing is a dubious translation:
-lean 3 declaration is
-  forall {ι : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} ι] (A : ι -> Type.{u2}) [_inst_2 : AddMonoid.{u1} ι] [_inst_3 : forall (i : ι), AddCommGroup.{u2} (A i)], Sort.{max (succ u1) (succ u2)}
-but is expected to have type
-  forall {ι : Type.{u1}} (_inst_1 : ι -> Type.{u2}) [A : AddMonoid.{u1} ι] [_inst_2 : forall (i : ι), AddCommGroup.{u2} (_inst_1 i)], Sort.{max (succ u1) (succ u2)}
-Case conversion may be inaccurate. Consider using '#align direct_sum.gring DirectSum.GRingₓ'. -/
 /-- A graded version of `ring`. -/
 class GRing [AddMonoid ι] [∀ i, AddCommGroup (A i)] extends GSemiring A where
   intCast : ℤ → A 0
@@ -153,21 +129,12 @@ class GRing [AddMonoid ι] [∀ i, AddCommGroup (A i)] extends GSemiring A where
   intCast_negSucc : ∀ n : ℕ, int_cast (-(n + 1 : ℕ)) = -nat_cast (n + 1 : ℕ)
 #align direct_sum.gring DirectSum.GRing
 
-/- warning: direct_sum.gcomm_ring -> DirectSum.GCommRing is a dubious translation:
-lean 3 declaration is
-  forall {ι : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} ι] (A : ι -> Type.{u2}) [_inst_2 : AddCommMonoid.{u1} ι] [_inst_3 : forall (i : ι), AddCommGroup.{u2} (A i)], Sort.{max (succ u1) (succ u2)}
-but is expected to have type
-  forall {ι : Type.{u1}} (_inst_1 : ι -> Type.{u2}) [A : AddCommMonoid.{u1} ι] [_inst_2 : forall (i : ι), AddCommGroup.{u2} (_inst_1 i)], Sort.{max (succ u1) (succ u2)}
-Case conversion may be inaccurate. Consider using '#align direct_sum.gcomm_ring DirectSum.GCommRingₓ'. -/
 /-- A graded version of `comm_ring`. -/
 class GCommRing [AddCommMonoid ι] [∀ i, AddCommGroup (A i)] extends GRing A, GCommSemiring A
 #align direct_sum.gcomm_ring DirectSum.GCommRing
 
 end Defs
 
-/- warning: direct_sum.of_eq_of_graded_monoid_eq -> DirectSum.of_eq_of_gradedMonoid_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align direct_sum.of_eq_of_graded_monoid_eq DirectSum.of_eq_of_gradedMonoid_eqₓ'. -/
 theorem of_eq_of_gradedMonoid_eq {A : ι → Type _} [∀ i : ι, AddCommMonoid (A i)] {i j : ι} {a : A i}
     {b : A j} (h : GradedMonoid.mk i a = GradedMonoid.mk j b) :
     DirectSum.of A i a = DirectSum.of A j b :=
@@ -193,12 +160,6 @@ variable [Add ι] [∀ i, AddCommMonoid (A i)] [GNonUnitalNonAssocSemiring A]
 
 open AddMonoidHom (flip_apply coe_comp compHom_apply_apply)
 
-/- warning: direct_sum.gmul_hom -> DirectSum.gMulHom is a dubious translation:
-lean 3 declaration is
-  forall {ι : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} ι] (A : ι -> Type.{u2}) [_inst_2 : Add.{u1} ι] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (A i)] [_inst_4 : DirectSum.GNonUnitalNonAssocSemiring.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) A _inst_2 (fun (i : ι) => _inst_3 i)] {i : ι} {j : ι}, AddMonoidHom.{u2, u2} (A i) (AddMonoidHom.{u2, u2} (A j) (A (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι _inst_2) i j)) (AddMonoid.toAddZeroClass.{u2} (A j) (AddCommMonoid.toAddMonoid.{u2} (A j) (_inst_3 j))) (AddMonoid.toAddZeroClass.{u2} (A (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι _inst_2) i j)) (AddCommMonoid.toAddMonoid.{u2} (A (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι _inst_2) i j)) (_inst_3 (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι _inst_2) i j))))) (AddMonoid.toAddZeroClass.{u2} (A i) (AddCommMonoid.toAddMonoid.{u2} (A i) (_inst_3 i))) (AddMonoid.toAddZeroClass.{u2} (AddMonoidHom.{u2, u2} (A j) (A (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι _inst_2) i j)) (AddMonoid.toAddZeroClass.{u2} (A j) (AddCommMonoid.toAddMonoid.{u2} (A j) (_inst_3 j))) (AddMonoid.toAddZeroClass.{u2} (A (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι _inst_2) i j)) (AddCommMonoid.toAddMonoid.{u2} (A (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι _inst_2) i j)) (_inst_3 (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι _inst_2) i j))))) (AddCommMonoid.toAddMonoid.{u2} (AddMonoidHom.{u2, u2} (A j) (A (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι _inst_2) i j)) (AddMonoid.toAddZeroClass.{u2} (A j) (AddCommMonoid.toAddMonoid.{u2} (A j) (_inst_3 j))) (AddMonoid.toAddZeroClass.{u2} (A (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι _inst_2) i j)) (AddCommMonoid.toAddMonoid.{u2} (A (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι _inst_2) i j)) (_inst_3 (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι _inst_2) i j))))) (AddMonoidHom.addCommMonoid.{u2, u2} (A j) (A (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι _inst_2) i j)) (AddMonoid.toAddZeroClass.{u2} (A j) (AddCommMonoid.toAddMonoid.{u2} (A j) (_inst_3 j))) (_inst_3 (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι _inst_2) i j)))))
-but is expected to have type
-  forall {ι : Type.{u1}} (_inst_1 : ι -> Type.{u2}) [A : Add.{u1} ι] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (_inst_1 i)] [_inst_3 : DirectSum.GNonUnitalNonAssocSemiring.{u1, u2} ι _inst_1 A (fun (i : ι) => _inst_2 i)] {_inst_4 : ι} {i : ι}, AddMonoidHom.{u2, u2} (_inst_1 _inst_4) (AddMonoidHom.{u2, u2} (_inst_1 i) (_inst_1 (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι A) _inst_4 i)) (AddMonoid.toAddZeroClass.{u2} (_inst_1 i) (AddCommMonoid.toAddMonoid.{u2} (_inst_1 i) (_inst_2 i))) (AddMonoid.toAddZeroClass.{u2} (_inst_1 (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι A) _inst_4 i)) (AddCommMonoid.toAddMonoid.{u2} (_inst_1 (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι A) _inst_4 i)) (_inst_2 (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι A) _inst_4 i))))) (AddMonoid.toAddZeroClass.{u2} (_inst_1 _inst_4) (AddCommMonoid.toAddMonoid.{u2} (_inst_1 _inst_4) (_inst_2 _inst_4))) (AddMonoid.toAddZeroClass.{u2} (AddMonoidHom.{u2, u2} (_inst_1 i) (_inst_1 (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι A) _inst_4 i)) (AddMonoid.toAddZeroClass.{u2} (_inst_1 i) (AddCommMonoid.toAddMonoid.{u2} (_inst_1 i) (_inst_2 i))) (AddMonoid.toAddZeroClass.{u2} (_inst_1 (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι A) _inst_4 i)) (AddCommMonoid.toAddMonoid.{u2} (_inst_1 (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι A) _inst_4 i)) (_inst_2 (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι A) _inst_4 i))))) (AddCommMonoid.toAddMonoid.{u2} (AddMonoidHom.{u2, u2} (_inst_1 i) (_inst_1 (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι A) _inst_4 i)) (AddMonoid.toAddZeroClass.{u2} (_inst_1 i) (AddCommMonoid.toAddMonoid.{u2} (_inst_1 i) (_inst_2 i))) (AddMonoid.toAddZeroClass.{u2} (_inst_1 (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι A) _inst_4 i)) (AddCommMonoid.toAddMonoid.{u2} (_inst_1 (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι A) _inst_4 i)) (_inst_2 (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι A) _inst_4 i))))) (AddMonoidHom.addCommMonoid.{u2, u2} (_inst_1 i) (_inst_1 (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι A) _inst_4 i)) (AddMonoid.toAddZeroClass.{u2} (_inst_1 i) (AddCommMonoid.toAddMonoid.{u2} (_inst_1 i) (_inst_2 i))) (_inst_2 (HAdd.hAdd.{u1, u1, u1} ι ι ι (instHAdd.{u1} ι A) _inst_4 i)))))
-Case conversion may be inaccurate. Consider using '#align direct_sum.gmul_hom DirectSum.gMulHomₓ'. -/
 /-- The piecewise multiplication from the `has_mul` instance, as a bundled homomorphism. -/
 @[simps]
 def gMulHom {i j} : A i →+ A j →+ A (i + j)
@@ -233,9 +194,6 @@ instance : NonUnitalNonAssocSemiring (⨁ i, A i) :=
 
 variable {A}
 
-/- warning: direct_sum.mul_hom_of_of -> DirectSum.mulHom_of_of is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align direct_sum.mul_hom_of_of DirectSum.mulHom_of_ofₓ'. -/
 theorem mulHom_of_of {i j} (a : A i) (b : A j) :
     mulHom A (of _ i a) (of _ j b) = of _ (i + j) (GradedMonoid.GMul.mul a b) :=
   by
@@ -244,9 +202,6 @@ theorem mulHom_of_of {i j} (a : A i) (b : A j) :
     comp_hom_apply_apply, coe_comp, Function.comp_apply, gmul_hom_apply_apply]
 #align direct_sum.mul_hom_of_of DirectSum.mulHom_of_of
 
-/- warning: direct_sum.of_mul_of -> DirectSum.of_mul_of is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align direct_sum.of_mul_of DirectSum.of_mul_ofₓ'. -/
 theorem of_mul_of {i j} (a : A i) (b : A j) :
     of _ i a * of _ j b = of _ (i + j) (GradedMonoid.GMul.mul a b) :=
   mulHom_of_of a b
@@ -323,9 +278,6 @@ instance semiring : Semiring (⨁ i, A i) :=
 #align direct_sum.semiring DirectSum.semiring
 -/
 
-/- warning: direct_sum.of_pow -> DirectSum.ofPow is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align direct_sum.of_pow DirectSum.ofPowₓ'. -/
 theorem ofPow {i} (a : A i) (n : ℕ) :
     of _ i a ^ n = of _ (n • i) (GradedMonoid.GMonoid.gnpow _ a) :=
   by
@@ -335,9 +287,6 @@ theorem ofPow {i} (a : A i) (n : ℕ) :
     exact of_eq_of_graded_monoid_eq (pow_succ (GradedMonoid.mk _ a) n).symm
 #align direct_sum.of_pow DirectSum.ofPow
 
-/- warning: direct_sum.of_list_dprod -> DirectSum.ofList_dProd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align direct_sum.of_list_dprod DirectSum.ofList_dProdₓ'. -/
 theorem ofList_dProd {α} (l : List α) (fι : α → ι) (fA : ∀ a, A (fι a)) :
     of A _ (l.dProd fι fA) = (l.map fun a => of A (fι a) (fA a)).Prod :=
   by
@@ -348,9 +297,6 @@ theorem ofList_dProd {α} (l : List α) (fι : α → ι) (fA : ∀ a, A (fι a)
     rfl
 #align direct_sum.of_list_dprod DirectSum.ofList_dProd
 
-/- warning: direct_sum.list_prod_of_fn_of_eq_dprod -> DirectSum.list_prod_ofFn_of_eq_dProd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align direct_sum.list_prod_of_fn_of_eq_dprod DirectSum.list_prod_ofFn_of_eq_dProdₓ'. -/
 theorem list_prod_ofFn_of_eq_dProd (n : ℕ) (fι : Fin n → ι) (fA : ∀ a, A (fι a)) :
     (List.ofFn fun a => of A (fι a) (fA a)).Prod = of A _ ((List.finRange n).dProd fι fA) := by
   rw [List.ofFn_eq_map, of_list_dprod]
@@ -483,9 +429,6 @@ section One
 
 variable [Zero ι] [GradedMonoid.GOne A] [∀ i, AddCommMonoid (A i)]
 
-/- warning: direct_sum.of_zero_one -> DirectSum.of_zero_one is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align direct_sum.of_zero_one DirectSum.of_zero_oneₓ'. -/
 @[simp]
 theorem of_zero_one : of _ 0 (1 : A 0) = 1 :=
   rfl
@@ -497,17 +440,11 @@ section Mul
 
 variable [AddZeroClass ι] [∀ i, AddCommMonoid (A i)] [GNonUnitalNonAssocSemiring A]
 
-/- warning: direct_sum.of_zero_smul -> DirectSum.of_zero_smul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align direct_sum.of_zero_smul DirectSum.of_zero_smulₓ'. -/
 @[simp]
 theorem of_zero_smul {i} (a : A 0) (b : A i) : of _ _ (a • b) = of _ _ a * of _ _ b :=
   (of_eq_of_gradedMonoid_eq (GradedMonoid.mk_zero_smul a b)).trans (of_mul_of _ _).symm
 #align direct_sum.of_zero_smul DirectSum.of_zero_smul
 
-/- warning: direct_sum.of_zero_mul -> DirectSum.of_zero_mul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align direct_sum.of_zero_mul DirectSum.of_zero_mulₓ'. -/
 @[simp]
 theorem of_zero_mul (a b : A 0) : of _ 0 (a * b) = of _ 0 a * of _ 0 b :=
   of_zero_smul A a b
@@ -534,9 +471,6 @@ section Semiring
 
 variable [∀ i, AddCommMonoid (A i)] [AddMonoid ι] [GSemiring A]
 
-/- warning: direct_sum.of_zero_pow -> DirectSum.of_zero_pow is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align direct_sum.of_zero_pow DirectSum.of_zero_powₓ'. -/
 @[simp]
 theorem of_zero_pow (a : A 0) : ∀ n : ℕ, of _ 0 (a ^ n) = of _ 0 a ^ n
   | 0 => by rw [pow_zero, pow_zero, DirectSum.of_zero_one]
@@ -546,9 +480,6 @@ theorem of_zero_pow (a : A 0) : ∀ n : ℕ, of _ 0 (a ^ n) = of _ 0 a ^ n
 instance : NatCast (A 0) :=
   ⟨GSemiring.natCast⟩
 
-/- warning: direct_sum.of_nat_cast -> DirectSum.ofNatCast is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align direct_sum.of_nat_cast DirectSum.ofNatCastₓ'. -/
 @[simp]
 theorem ofNatCast (n : ℕ) : of A 0 n = n :=
   rfl
@@ -625,9 +556,6 @@ variable [∀ i, AddCommGroup (A i)] [AddMonoid ι] [GRing A]
 instance : IntCast (A 0) :=
   ⟨GRing.intCast⟩
 
-/- warning: direct_sum.of_int_cast -> DirectSum.ofIntCast is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align direct_sum.of_int_cast DirectSum.ofIntCastₓ'. -/
 @[simp]
 theorem ofIntCast (n : ℤ) : of A 0 n = n :=
   rfl
@@ -679,9 +607,6 @@ variable {R : Type _} [∀ i, AddCommMonoid (A i)] [AddMonoid ι] [GSemiring A]
 
 variable {A}
 
-/- warning: direct_sum.ring_hom_ext' -> DirectSum.ringHom_ext' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align direct_sum.ring_hom_ext' DirectSum.ringHom_ext'ₓ'. -/
 /-- If two ring homomorphisms from `⨁ i, A i` are equal on each `of A i y`,
 then they are equal.
 
@@ -692,9 +617,6 @@ theorem ringHom_ext' ⦃F G : (⨁ i, A i) →+* R⦄
   RingHom.coe_addMonoidHom_injective <| DirectSum.addHom_ext' h
 #align direct_sum.ring_hom_ext' DirectSum.ringHom_ext'
 
-/- warning: direct_sum.ring_hom_ext -> DirectSum.ringHom_ext is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align direct_sum.ring_hom_ext DirectSum.ringHom_extₓ'. -/
 /-- Two `ring_hom`s out of a direct sum are equal if they agree on the generators. -/
 theorem ringHom_ext ⦃f g : (⨁ i, A i) →+* R⦄ (h : ∀ i x, f (of A i x) = g (of A i x)) : f = g :=
   ringHom_ext' fun i => AddMonoidHom.ext <| h i
@@ -729,18 +651,12 @@ def toSemiring (f : ∀ i, A i →+ R) (hone : f _ GradedMonoid.GOne.one = 1)
 #align direct_sum.to_semiring DirectSum.toSemiring
 -/
 
-/- warning: direct_sum.to_semiring_of -> DirectSum.toSemiring_of is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align direct_sum.to_semiring_of DirectSum.toSemiring_ofₓ'. -/
 @[simp]
 theorem toSemiring_of (f : ∀ i, A i →+ R) (hone hmul) (i : ι) (x : A i) :
     toSemiring f hone hmul (of _ i x) = f _ x :=
   toAddMonoid_of f i x
 #align direct_sum.to_semiring_of DirectSum.toSemiring_of
 
-/- warning: direct_sum.to_semiring_coe_add_monoid_hom -> DirectSum.toSemiring_coe_addMonoidHom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align direct_sum.to_semiring_coe_add_monoid_hom DirectSum.toSemiring_coe_addMonoidHomₓ'. -/
 @[simp]
 theorem toSemiring_coe_addMonoidHom (f : ∀ i, A i →+ R) (hone hmul) :
     (toSemiring f hone hmul : (⨁ i, A i) →+ R) = toAddMonoid f :=
@@ -790,12 +706,6 @@ section Uniform
 
 variable (ι)
 
-/- warning: non_unital_non_assoc_semiring.direct_sum_gnon_unital_non_assoc_semiring -> NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring is a dubious translation:
-lean 3 declaration is
-  forall (ι : Type.{u1}) [_inst_1 : DecidableEq.{succ u1} ι] {R : Type.{u2}} [_inst_2 : AddMonoid.{u1} ι] [_inst_3 : NonUnitalNonAssocSemiring.{u2} R], DirectSum.GNonUnitalNonAssocSemiring.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => R) (AddZeroClass.toHasAdd.{u1} ι (AddMonoid.toAddZeroClass.{u1} ι _inst_2)) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R _inst_3)
-but is expected to have type
-  forall (ι : Type.{u1}) {_inst_1 : Type.{u2}} [R : AddMonoid.{u1} ι] [_inst_2 : NonUnitalNonAssocSemiring.{u2} _inst_1], DirectSum.GNonUnitalNonAssocSemiring.{u1, u2} ι (fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6396 : ι) => _inst_1) (AddZeroClass.toAdd.{u1} ι (AddMonoid.toAddZeroClass.{u1} ι R)) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6396 : ι) => _inst_1) i) _inst_2)
-Case conversion may be inaccurate. Consider using '#align non_unital_non_assoc_semiring.direct_sum_gnon_unital_non_assoc_semiring NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiringₓ'. -/
 /-- A direct sum of copies of a `semiring` inherits the multiplication structure. -/
 instance NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring {R : Type _} [AddMonoid ι]
     [NonUnitalNonAssocSemiring R] : DirectSum.GNonUnitalNonAssocSemiring fun i : ι => R :=
@@ -806,12 +716,6 @@ instance NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring {R : Type
     add_mul := fun i j => add_mul }
 #align non_unital_non_assoc_semiring.direct_sum_gnon_unital_non_assoc_semiring NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring
 
-/- warning: semiring.direct_sum_gsemiring -> Semiring.directSumGSemiring is a dubious translation:
-lean 3 declaration is
-  forall (ι : Type.{u1}) [_inst_1 : DecidableEq.{succ u1} ι] {R : Type.{u2}} [_inst_2 : AddMonoid.{u1} ι] [_inst_3 : Semiring.{u2} R], DirectSum.GSemiring.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => R) _inst_2 (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_3)))
-but is expected to have type
-  forall (ι : Type.{u1}) {_inst_1 : Type.{u2}} [R : AddMonoid.{u1} ι] [_inst_2 : Semiring.{u2} _inst_1], DirectSum.GSemiring.{u1, u2} ι (fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6437 : ι) => _inst_1) R (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6437 : ι) => _inst_1) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6437 : ι) => _inst_1) i) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6437 : ι) => _inst_1) i) _inst_2)))
-Case conversion may be inaccurate. Consider using '#align semiring.direct_sum_gsemiring Semiring.directSumGSemiringₓ'. -/
 /-- A direct sum of copies of a `semiring` inherits the multiplication structure. -/
 instance Semiring.directSumGSemiring {R : Type _} [AddMonoid ι] [Semiring R] :
     DirectSum.GSemiring fun i : ι => R :=
@@ -829,12 +733,6 @@ example {R : Type _} [AddMonoid ι] [Semiring R] (i j : ι) (a b : R) :
     (DirectSum.of _ i a * DirectSum.of _ j b : ⨁ i, R) = DirectSum.of _ (i + j) (a * b) := by
   rw [DirectSum.of_mul_of, Mul.gMul_mul]
 
-/- warning: comm_semiring.direct_sum_gcomm_semiring -> CommSemiring.directSumGCommSemiring is a dubious translation:
-lean 3 declaration is
-  forall (ι : Type.{u1}) [_inst_1 : DecidableEq.{succ u1} ι] {R : Type.{u2}} [_inst_2 : AddCommMonoid.{u1} ι] [_inst_3 : CommSemiring.{u2} R], DirectSum.GCommSemiring.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => R) _inst_2 (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))
-but is expected to have type
-  forall (ι : Type.{u1}) {_inst_1 : Type.{u2}} [R : AddCommMonoid.{u1} ι] [_inst_2 : CommSemiring.{u2} _inst_1], DirectSum.GCommSemiring.{u1, u2} ι (fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6607 : ι) => _inst_1) R (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6607 : ι) => _inst_1) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6607 : ι) => _inst_1) i) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6607 : ι) => _inst_1) i) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6607 : ι) => _inst_1) i) _inst_2))))
-Case conversion may be inaccurate. Consider using '#align comm_semiring.direct_sum_gcomm_semiring CommSemiring.directSumGCommSemiringₓ'. -/
 /-- A direct sum of copies of a `comm_semiring` inherits the commutative multiplication structure.
 -/
 instance CommSemiring.directSumGCommSemiring {R : Type _} [AddCommMonoid ι] [CommSemiring R] :

50251fd6

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -319,9 +319,7 @@ instance semiring : Semiring (⨁ i, A i) :=
     mul_assoc := mul_assoc A
     natCast := fun n => of _ _ (GSemiring.natCast n)
     natCast_zero := by rw [gsemiring.nat_cast_zero, map_zero]
-    natCast_succ := fun n => by
-      rw [gsemiring.nat_cast_succ, map_add]
-      rfl }
+    natCast_succ := fun n => by rw [gsemiring.nat_cast_succ, map_add]; rfl }
 #align direct_sum.semiring DirectSum.semiring
 -/

50251fd6

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -166,10 +166,7 @@ class GCommRing [AddCommMonoid ι] [∀ i, AddCommGroup (A i)] extends GRing A,
 end Defs
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align direct_sum.of_eq_of_graded_monoid_eq DirectSum.of_eq_of_gradedMonoid_eqₓ'. -/
 theorem of_eq_of_gradedMonoid_eq {A : ι → Type _} [∀ i : ι, AddCommMonoid (A i)] {i j : ι} {a : A i}
     {b : A j} (h : GradedMonoid.mk i a = GradedMonoid.mk j b) :
@@ -237,10 +234,7 @@ instance : NonUnitalNonAssocSemiring (⨁ i, A i) :=
 variable {A}
 
 /- warning: direct_sum.mul_hom_of_of -> DirectSum.mulHom_of_of is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align direct_sum.mul_hom_of_of DirectSum.mulHom_of_ofₓ'. -/
 theorem mulHom_of_of {i j} (a : A i) (b : A j) :
     mulHom A (of _ i a) (of _ j b) = of _ (i + j) (GradedMonoid.GMul.mul a b) :=
@@ -251,10 +245,7 @@ theorem mulHom_of_of {i j} (a : A i) (b : A j) :
 #align direct_sum.mul_hom_of_of DirectSum.mulHom_of_of
 
 /- warning: direct_sum.of_mul_of -> DirectSum.of_mul_of is a dubious translation:
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=> _inst_3 i) _inst_4) i j a b))
+<too large>
 Case conversion may be inaccurate. Consider using '#align direct_sum.of_mul_of DirectSum.of_mul_ofₓ'. -/
 theorem of_mul_of {i j} (a : A i) (b : A j) :
     of _ i a * of _ j b = of _ (i + j) (GradedMonoid.GMul.mul a b) :=
@@ -279,7 +270,6 @@ private theorem [anonymous] (x : ⨁ i, A i) : 1 * x = x :=
   unfold One.one
   rw [mul_hom_of_of]
   exact of_eq_of_graded_monoid_eq (one_mul <| GradedMonoid.mk i xi)
-#align direct_sum.one_mul [anonymous]
 -/
 
 /- warning: direct_sum.mul_one clashes with [anonymous] -> [anonymous]
@@ -292,7 +282,6 @@ private theorem [anonymous] (x : ⨁ i, A i) : x * 1 = x :=
   unfold One.one
   rw [flip_apply, mul_hom_of_of]
   exact of_eq_of_graded_monoid_eq (mul_one <| GradedMonoid.mk i xi)
-#align direct_sum.mul_one [anonymous]
 -/
 
 /- warning: direct_sum.mul_assoc clashes with [anonymous] -> [anonymous]
@@ -315,7 +304,6 @@ private theorem [anonymous] (a b c : ⨁ i, A i) : a * b * c = a * (b * c) :=
   dsimp only [coe_comp, Function.comp_apply, comp_hom_apply_apply, flip_apply, flip_hom_apply]
   rw [mul_hom_of_of, mul_hom_of_of, mul_hom_of_of, mul_hom_of_of]
   exact of_eq_of_graded_monoid_eq (mul_assoc (GradedMonoid.mk ai ax) ⟨bi, bx⟩ ⟨ci, cx⟩)
-#align direct_sum.mul_assoc [anonymous]
 -/
 
 #print DirectSum.semiring /-
@@ -338,10 +326,7 @@ instance semiring : Semiring (⨁ i, A i) :=
 -/
 
 /- warning: direct_sum.of_pow -> DirectSum.ofPow is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align direct_sum.of_pow DirectSum.ofPowₓ'. -/
 theorem ofPow {i} (a : A i) (n : ℕ) :
     of _ i a ^ n = of _ (n • i) (GradedMonoid.GMonoid.gnpow _ a) :=
@@ -353,10 +338,7 @@ theorem ofPow {i} (a : A i) (n : ℕ) :
 #align direct_sum.of_pow DirectSum.ofPow
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align direct_sum.of_list_dprod DirectSum.ofList_dProdₓ'. -/
 theorem ofList_dProd {α} (l : List α) (fι : α → ι) (fA : ∀ a, A (fι a)) :
     of A _ (l.dProd fι fA) = (l.map fun a => of A (fι a) (fA a)).Prod :=
@@ -369,10 +351,7 @@ theorem ofList_dProd {α} (l : List α) (fι : α → ι) (fA : ∀ a, A (fι a)
 #align direct_sum.of_list_dprod DirectSum.ofList_dProd
 
 /- warning: direct_sum.list_prod_of_fn_of_eq_dprod -> DirectSum.list_prod_ofFn_of_eq_dProd is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align direct_sum.list_prod_of_fn_of_eq_dprod DirectSum.list_prod_ofFn_of_eq_dProdₓ'. -/
 theorem list_prod_ofFn_of_eq_dProd (n : ℕ) (fι : Fin n → ι) (fA : ∀ a, A (fι a)) :
     (List.ofFn fun a => of A (fι a) (fA a)).Prod = of A _ ((List.finRange n).dProd fι fA) := by
@@ -417,7 +396,6 @@ private theorem [anonymous] (a b : ⨁ i, A i) : a * b = b * a :=
   apply add_hom_ext; intro ai ax; apply add_hom_ext; intro bi bx
   rw [AddMonoidHom.flip_apply, mul_hom_of_of, mul_hom_of_of]
   exact of_eq_of_graded_monoid_eq (gcomm_semiring.mul_comm ⟨ai, ax⟩ ⟨bi, bx⟩)
-#align direct_sum.mul_comm [anonymous]
 -/
 
 #print DirectSum.commSemiring /-
@@ -508,10 +486,7 @@ section One
 variable [Zero ι] [GradedMonoid.GOne A] [∀ i, AddCommMonoid (A i)]
 
 /- warning: direct_sum.of_zero_one -> DirectSum.of_zero_one is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align direct_sum.of_zero_one DirectSum.of_zero_oneₓ'. -/
 @[simp]
 theorem of_zero_one : of _ 0 (1 : A 0) = 1 :=
@@ -525,10 +500,7 @@ section Mul
 variable [AddZeroClass ι] [∀ i, AddCommMonoid (A i)] [GNonUnitalNonAssocSemiring A]
 
 /- warning: direct_sum.of_zero_smul -> DirectSum.of_zero_smul is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align direct_sum.of_zero_smul DirectSum.of_zero_smulₓ'. -/
 @[simp]
 theorem of_zero_smul {i} (a : A 0) (b : A i) : of _ _ (a • b) = of _ _ a * of _ _ b :=
@@ -536,10 +508,7 @@ theorem of_zero_smul {i} (a : A 0) (b : A i) : of _ _ (a • b) = of _ _ a * of
 #align direct_sum.of_zero_smul DirectSum.of_zero_smul
 
 /- warning: direct_sum.of_zero_mul -> DirectSum.of_zero_mul is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align direct_sum.of_zero_mul DirectSum.of_zero_mulₓ'. -/
 @[simp]
 theorem of_zero_mul (a b : A 0) : of _ 0 (a * b) = of _ 0 a * of _ 0 b :=
@@ -568,10 +537,7 @@ section Semiring
 variable [∀ i, AddCommMonoid (A i)] [AddMonoid ι] [GSemiring A]
 
 /- warning: direct_sum.of_zero_pow -> DirectSum.of_zero_pow is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align direct_sum.of_zero_pow DirectSum.of_zero_powₓ'. -/
 @[simp]
 theorem of_zero_pow (a : A 0) : ∀ n : ℕ, of _ 0 (a ^ n) = of _ 0 a ^ n
@@ -583,10 +549,7 @@ instance : NatCast (A 0) :=
   ⟨GSemiring.natCast⟩
 
 /- warning: direct_sum.of_nat_cast -> DirectSum.ofNatCast is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align direct_sum.of_nat_cast DirectSum.ofNatCastₓ'. -/
 @[simp]
 theorem ofNatCast (n : ℕ) : of A 0 n = n :=
@@ -665,10 +628,7 @@ instance : IntCast (A 0) :=
   ⟨GRing.intCast⟩
 
 /- warning: direct_sum.of_int_cast -> DirectSum.ofIntCast is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align direct_sum.of_int_cast DirectSum.ofIntCastₓ'. -/
 @[simp]
 theorem ofIntCast (n : ℤ) : of A 0 n = n :=
@@ -722,10 +682,7 @@ variable {R : Type _} [∀ i, AddCommMonoid (A i)] [AddMonoid ι] [GSemiring A]
 variable {A}
 
 /- warning: direct_sum.ring_hom_ext' -> DirectSum.ringHom_ext' is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align direct_sum.ring_hom_ext' DirectSum.ringHom_ext'ₓ'. -/
 /-- If two ring homomorphisms from `⨁ i, A i` are equal on each `of A i y`,
 then they are equal.
@@ -738,10 +695,7 @@ theorem ringHom_ext' ⦃F G : (⨁ i, A i) →+* R⦄
 #align direct_sum.ring_hom_ext' DirectSum.ringHom_ext'
 
 /- warning: direct_sum.ring_hom_ext -> DirectSum.ringHom_ext is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align direct_sum.ring_hom_ext DirectSum.ringHom_extₓ'. -/
 /-- Two `ring_hom`s out of a direct sum are equal if they agree on the generators. -/
 theorem ringHom_ext ⦃f g : (⨁ i, A i) →+* R⦄ (h : ∀ i x, f (of A i x) = g (of A i x)) : f = g :=
@@ -778,10 +732,7 @@ def toSemiring (f : ∀ i, A i →+ R) (hone : f _ GradedMonoid.GOne.one = 1)
 -/
 
 /- warning: direct_sum.to_semiring_of -> DirectSum.toSemiring_of is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align direct_sum.to_semiring_of DirectSum.toSemiring_ofₓ'. -/
 @[simp]
 theorem toSemiring_of (f : ∀ i, A i →+ R) (hone hmul) (i : ι) (x : A i) :
@@ -790,10 +741,7 @@ theorem toSemiring_of (f : ∀ i, A i →+ R) (hone hmul) (i : ι) (x : A i) :
 #align direct_sum.to_semiring_of DirectSum.toSemiring_of
 
 /- warning: direct_sum.to_semiring_coe_add_monoid_hom -> DirectSum.toSemiring_coe_addMonoidHom is a dubious translation:
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_inst_2 i) _inst_3 _inst_4)))))) (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5)))))) (AddMonoidHomClass.toAddMonoidHom.{max u1 u3, u2, max (max u1 u3) u2} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) R (RingHom.{max u3 u1, u2} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) R (Semiring.toNonAssocSemiring.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (DirectSum.semiring.{u1, u3} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i) _inst_3 _inst_4)) (Semiring.toNonAssocSemiring.{u2} R _inst_5)) (AddMonoid.toAddZeroClass.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (AddMonoidWithOne.toAddMonoid.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 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(a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) R (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 _inst_5 f hone hmul)) (DirectSum.toAddMonoid.{u1, u3, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i) R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5))) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align direct_sum.to_semiring_coe_add_monoid_hom DirectSum.toSemiring_coe_addMonoidHomₓ'. -/
 @[simp]
 theorem toSemiring_coe_addMonoidHom (f : ∀ i, A i →+ R) (hone hmul) :

50251fd6

bump to nightly-2023-05-19-16

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

a31df521

Diff

@@ -741,7 +741,7 @@ theorem ringHom_ext' ⦃F G : (⨁ i, A i) →+* R⦄
 lean 3 declaration is
   forall {ι : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} ι] {A : ι -> Type.{u2}} {R : Type.{u3}} [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (A i)] [_inst_3 : AddMonoid.{u1} ι] [_inst_4 : DirectSum.GSemiring.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) A _inst_3 (fun (i : ι) => _inst_2 i)] [_inst_5 : Semiring.{u3} R] {{f : RingHom.{max u1 u2, u3} (DirectSum.{u1, u2} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) R (Semiring.toNonAssocSemiring.{max u1 u2} (DirectSum.{u1, u2} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (DirectSum.semiring.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i) _inst_3 _inst_4)) (Semiring.toNonAssocSemiring.{u3} R _inst_5)}} {{g : RingHom.{max u1 u2, u3} (DirectSum.{u1, u2} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) R (Semiring.toNonAssocSemiring.{max u1 u2} (DirectSum.{u1, u2} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (DirectSum.semiring.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 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 but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align direct_sum.ring_hom_ext DirectSum.ringHom_extₓ'. -/
 /-- Two `ring_hom`s out of a direct sum are equal if they agree on the generators. -/
 theorem ringHom_ext ⦃f g : (⨁ i, A i) →+* R⦄ (h : ∀ i x, f (of A i x) = g (of A i x)) : f = g :=
@@ -781,7 +781,7 @@ def toSemiring (f : ∀ i, A i →+ R) (hone : f _ GradedMonoid.GOne.one = 1)
 lean 3 declaration is
   forall {ι : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} ι] {A : ι -> Type.{u2}} {R : Type.{u3}} [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (A i)] [_inst_3 : AddMonoid.{u1} ι] [_inst_4 : DirectSum.GSemiring.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) A _inst_3 (fun (i : ι) => _inst_2 i)] [_inst_5 : Semiring.{u3} R] (f : forall (i : ι), AddMonoidHom.{u2, u3} (A i) R (AddMonoid.toAddZeroClass.{u2} (A i) (AddCommMonoid.toAddMonoid.{u2} (A i) (_inst_2 i))) (AddMonoid.toAddZeroClass.{u3} R (AddMonoidWithOne.toAddMonoid.{u3} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u3} R (NonAssocSemiring.toAddCommMonoidWithOne.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_5)))))) (hone : Eq.{succ u3} R (coeFn.{max (succ u3) (succ u2), max (succ u2) (succ u3)} (AddMonoidHom.{u2, u3} (A (OfNat.ofNat.{u1} ι 0 (OfNat.mk.{u1} ι 0 (Zero.zero.{u1} ι (AddZeroClass.toHasZero.{u1} ι (AddMonoid.toAddZeroClass.{u1} ι _inst_3)))))) R (AddMonoid.toAddZeroClass.{u2} (A (OfNat.ofNat.{u1} ι 0 (OfNat.mk.{u1} ι 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(i : ι) => A i) (fun (i : ι) => _inst_2 i) _inst_3 _inst_4)) (Semiring.toNonAssocSemiring.{u2} R _inst_5)) (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) R (NonUnitalNonAssocSemiring.toMul.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (Semiring.toNonAssocSemiring.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (DirectSum.semiring.{u1, u3} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i) _inst_3 _inst_4)))) (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5))) (NonUnitalRingHomClass.toMulHomClass.{max (max u1 u3) u2, max u1 u3, u2} (RingHom.{max u3 u1, u2} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) R (Semiring.toNonAssocSemiring.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (DirectSum.semiring.{u1, u3} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i) _inst_3 _inst_4)) (Semiring.toNonAssocSemiring.{u2} R _inst_5)) (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (Semiring.toNonAssocSemiring.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (DirectSum.semiring.{u1, u3} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i) _inst_3 _inst_4))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5)) (RingHomClass.toNonUnitalRingHomClass.{max (max u1 u3) u2, max u1 u3, u2} (RingHom.{max u3 u1, u2} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) R (Semiring.toNonAssocSemiring.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (DirectSum.semiring.{u1, u3} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i) _inst_3 _inst_4)) (Semiring.toNonAssocSemiring.{u2} R _inst_5)) (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) R (Semiring.toNonAssocSemiring.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (DirectSum.semiring.{u1, u3} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i) _inst_3 _inst_4)) (Semiring.toNonAssocSemiring.{u2} R _inst_5) (RingHom.instRingHomClassRingHom.{max u1 u3, u2} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) R (Semiring.toNonAssocSemiring.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (DirectSum.semiring.{u1, u3} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i) _inst_3 _inst_4)) (Semiring.toNonAssocSemiring.{u2} R _inst_5))))) (DirectSum.toSemiring.{u1, u3, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) R (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 _inst_5 f hone hmul) (FunLike.coe.{max (succ u1) (succ u3), succ u3, max (succ u1) (succ u3)} (AddMonoidHom.{u3, max u3 u1} (A i) (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (AddMonoid.toAddZeroClass.{u3} (A i) (AddCommMonoid.toAddMonoid.{u3} (A i) (_inst_2 i))) (AddMonoid.toAddZeroClass.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (AddCommMonoid.toAddMonoid.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (instAddCommMonoidDirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i))))) (A i) (fun (_x : A i) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : A i) => DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) _x) (AddHomClass.toFunLike.{max u1 u3, u3, max u1 u3} (AddMonoidHom.{u3, max u3 u1} (A i) (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (AddMonoid.toAddZeroClass.{u3} (A i) (AddCommMonoid.toAddMonoid.{u3} (A i) (_inst_2 i))) (AddMonoid.toAddZeroClass.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (AddCommMonoid.toAddMonoid.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (instAddCommMonoidDirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i))))) (A i) (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (AddZeroClass.toAdd.{u3} (A i) (AddMonoid.toAddZeroClass.{u3} (A i) (AddCommMonoid.toAddMonoid.{u3} (A i) (_inst_2 i)))) (AddZeroClass.toAdd.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (AddMonoid.toAddZeroClass.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (AddCommMonoid.toAddMonoid.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (instAddCommMonoidDirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i))))) (AddMonoidHomClass.toAddHomClass.{max u1 u3, u3, max u1 u3} (AddMonoidHom.{u3, max u3 u1} (A i) (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (AddMonoid.toAddZeroClass.{u3} (A i) (AddCommMonoid.toAddMonoid.{u3} (A i) (_inst_2 i))) (AddMonoid.toAddZeroClass.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (AddCommMonoid.toAddMonoid.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (instAddCommMonoidDirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i))))) (A i) (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (AddMonoid.toAddZeroClass.{u3} (A i) (AddCommMonoid.toAddMonoid.{u3} (A i) (_inst_2 i))) (AddMonoid.toAddZeroClass.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => 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(_inst_2 i))) (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5)))))) (A i) (fun (_x : A i) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : A i) => R) _x) (AddHomClass.toFunLike.{max u3 u2, u3, u2} (AddMonoidHom.{u3, u2} (A i) R (AddMonoid.toAddZeroClass.{u3} (A i) (AddCommMonoid.toAddMonoid.{u3} (A i) (_inst_2 i))) (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5)))))) (A i) R (AddZeroClass.toAdd.{u3} (A i) (AddMonoid.toAddZeroClass.{u3} (A i) (AddCommMonoid.toAddMonoid.{u3} (A i) (_inst_2 i)))) (AddZeroClass.toAdd.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5)))))) (AddMonoidHomClass.toAddHomClass.{max u3 u2, u3, u2} (AddMonoidHom.{u3, u2} (A i) R (AddMonoid.toAddZeroClass.{u3} (A i) (AddCommMonoid.toAddMonoid.{u3} (A i) (_inst_2 i))) (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5)))))) (A i) R (AddMonoid.toAddZeroClass.{u3} (A i) (AddCommMonoid.toAddMonoid.{u3} (A i) (_inst_2 i))) (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5))))) (AddMonoidHom.addMonoidHomClass.{u3, u2} (A i) R (AddMonoid.toAddZeroClass.{u3} (A i) (AddCommMonoid.toAddMonoid.{u3} (A i) (_inst_2 i))) (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5)))))))) (f i) x)
 Case conversion may be inaccurate. Consider using '#align direct_sum.to_semiring_of DirectSum.toSemiring_ofₓ'. -/
 @[simp]
 theorem toSemiring_of (f : ∀ i, A i →+ R) (hone hmul) (i : ι) (x : A i) :

50251fd6

bump to nightly-2023-05-19-03

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

9a2fedb8

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.direct_sum.ring
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
+! leanprover-community/mathlib commit 50251fd6309cca5ca2e747882ffecd2729f38c5d
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Algebra.DirectSum.Basic
 /-!
 # Additively-graded multiplicative structures on `⨁ i, A i`
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This module provides a set of heterogeneous typeclasses for defining a multiplicative structure
 over `⨁ i, A i` such that `(*) : A i → A j → A (i + j)`; that is to say, `A` forms an
 additively-graded ring. The typeclasses are:

70fd9563

bump to nightly-2023-05-17-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/f8c79b0a623404854a2902b836eac32156fd7712

311ac93c

Diff

@@ -91,14 +91,20 @@ section Defs
 
 variable (A : ι → Type _)
 
+/- warning: direct_sum.gnon_unital_non_assoc_semiring -> DirectSum.GNonUnitalNonAssocSemiring is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} ι] (A : ι -> Type.{u2}) [_inst_2 : Add.{u1} ι] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (A i)], Sort.{max (succ u1) (succ u2)}
+but is expected to have type
+  forall {ι : Type.{u1}} (_inst_1 : ι -> Type.{u2}) [A : Add.{u1} ι] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (_inst_1 i)], Sort.{max (succ u1) (succ u2)}
+Case conversion may be inaccurate. Consider using '#align direct_sum.gnon_unital_non_assoc_semiring DirectSum.GNonUnitalNonAssocSemiringₓ'. -/
 /-- A graded version of `non_unital_non_assoc_semiring`. -/
-class GnonUnitalNonAssocSemiring [Add ι] [∀ i, AddCommMonoid (A i)] extends
+class GNonUnitalNonAssocSemiring [Add ι] [∀ i, AddCommMonoid (A i)] extends
   GradedMonoid.GMul A where
   mul_zero : ∀ {i j} (a : A i), mul a (0 : A j) = 0
   zero_mul : ∀ {i j} (b : A j), mul (0 : A i) b = 0
   mul_add : ∀ {i j} (a : A i) (b c : A j), mul a (b + c) = mul a b + mul a c
   add_mul : ∀ {i j} (a b : A i) (c : A j), mul (a + b) c = mul a c + mul b c
-#align direct_sum.gnon_unital_non_assoc_semiring DirectSum.GnonUnitalNonAssocSemiring
+#align direct_sum.gnon_unital_non_assoc_semiring DirectSum.GNonUnitalNonAssocSemiring
 
 end Defs
 
@@ -106,32 +112,62 @@ section Defs
 
 variable (A : ι → Type _)
 
+/- warning: direct_sum.gsemiring -> DirectSum.GSemiring is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} ι] (A : ι -> Type.{u2}) [_inst_2 : AddMonoid.{u1} ι] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (A i)], Sort.{max (succ u1) (succ u2)}
+but is expected to have type
+  forall {ι : Type.{u1}} (_inst_1 : ι -> Type.{u2}) [A : AddMonoid.{u1} ι] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (_inst_1 i)], Sort.{max (succ u1) (succ u2)}
+Case conversion may be inaccurate. Consider using '#align direct_sum.gsemiring DirectSum.GSemiringₓ'. -/
 /-- A graded version of `semiring`. -/
-class Gsemiring [AddMonoid ι] [∀ i, AddCommMonoid (A i)] extends GnonUnitalNonAssocSemiring A,
+class GSemiring [AddMonoid ι] [∀ i, AddCommMonoid (A i)] extends GNonUnitalNonAssocSemiring A,
   GradedMonoid.GMonoid A where
   natCast : ℕ → A 0
   natCast_zero : nat_cast 0 = 0
   natCast_succ : ∀ n : ℕ, nat_cast (n + 1) = nat_cast n + GradedMonoid.GOne.one
-#align direct_sum.gsemiring DirectSum.Gsemiring
-
+#align direct_sum.gsemiring DirectSum.GSemiring
+
+/- warning: direct_sum.gcomm_semiring -> DirectSum.GCommSemiring is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} ι] (A : ι -> Type.{u2}) [_inst_2 : AddCommMonoid.{u1} ι] [_inst_3 : forall (i : ι), AddCommMonoid.{u2} (A i)], Sort.{max (succ u1) (succ u2)}
+but is expected to have type
+  forall {ι : Type.{u1}} (_inst_1 : ι -> Type.{u2}) [A : AddCommMonoid.{u1} ι] [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (_inst_1 i)], Sort.{max (succ u1) (succ u2)}
+Case conversion may be inaccurate. Consider using '#align direct_sum.gcomm_semiring DirectSum.GCommSemiringₓ'. -/
 /-- A graded version of `comm_semiring`. -/
-class GcommSemiring [AddCommMonoid ι] [∀ i, AddCommMonoid (A i)] extends Gsemiring A,
+class GCommSemiring [AddCommMonoid ι] [∀ i, AddCommMonoid (A i)] extends GSemiring A,
   GradedMonoid.GCommMonoid A
-#align direct_sum.gcomm_semiring DirectSum.GcommSemiring
-
+#align direct_sum.gcomm_semiring DirectSum.GCommSemiring
+
+/- warning: direct_sum.gring -> DirectSum.GRing is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} ι] (A : ι -> Type.{u2}) [_inst_2 : AddMonoid.{u1} ι] [_inst_3 : forall (i : ι), AddCommGroup.{u2} (A i)], Sort.{max (succ u1) (succ u2)}
+but is expected to have type
+  forall {ι : Type.{u1}} (_inst_1 : ι -> Type.{u2}) [A : AddMonoid.{u1} ι] [_inst_2 : forall (i : ι), AddCommGroup.{u2} (_inst_1 i)], Sort.{max (succ u1) (succ u2)}
+Case conversion may be inaccurate. Consider using '#align direct_sum.gring DirectSum.GRingₓ'. -/
 /-- A graded version of `ring`. -/
-class Gring [AddMonoid ι] [∀ i, AddCommGroup (A i)] extends Gsemiring A where
+class GRing [AddMonoid ι] [∀ i, AddCommGroup (A i)] extends GSemiring A where
   intCast : ℤ → A 0
   intCast_ofNat : ∀ n : ℕ, int_cast n = nat_cast n
   intCast_negSucc : ∀ n : ℕ, int_cast (-(n + 1 : ℕ)) = -nat_cast (n + 1 : ℕ)
-#align direct_sum.gring DirectSum.Gring
-
+#align direct_sum.gring DirectSum.GRing
+
+/- warning: direct_sum.gcomm_ring -> DirectSum.GCommRing is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} ι] (A : ι -> Type.{u2}) [_inst_2 : AddCommMonoid.{u1} ι] [_inst_3 : forall (i : ι), AddCommGroup.{u2} (A i)], Sort.{max (succ u1) (succ u2)}
+but is expected to have type
+  forall {ι : Type.{u1}} (_inst_1 : ι -> Type.{u2}) [A : AddCommMonoid.{u1} ι] [_inst_2 : forall (i : ι), AddCommGroup.{u2} (_inst_1 i)], Sort.{max (succ u1) (succ u2)}
+Case conversion may be inaccurate. Consider using '#align direct_sum.gcomm_ring DirectSum.GCommRingₓ'. -/
 /-- A graded version of `comm_ring`. -/
-class GcommRing [AddCommMonoid ι] [∀ i, AddCommGroup (A i)] extends Gring A, GcommSemiring A
-#align direct_sum.gcomm_ring DirectSum.GcommRing
+class GCommRing [AddCommMonoid ι] [∀ i, AddCommGroup (A i)] extends GRing A, GCommSemiring A
+#align direct_sum.gcomm_ring DirectSum.GCommRing
 
 end Defs
 
+/- warning: direct_sum.of_eq_of_graded_monoid_eq -> DirectSum.of_eq_of_gradedMonoid_eq is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align direct_sum.of_eq_of_graded_monoid_eq DirectSum.of_eq_of_gradedMonoid_eqₓ'. -/
 theorem of_eq_of_gradedMonoid_eq {A : ι → Type _} [∀ i : ι, AddCommMonoid (A i)] {i j : ι} {a : A i}
     {b : A j} (h : GradedMonoid.mk i a = GradedMonoid.mk j b) :
     DirectSum.of A i a = DirectSum.of A j b :=
@@ -153,29 +189,37 @@ end One
 
 section Mul
 
-variable [Add ι] [∀ i, AddCommMonoid (A i)] [GnonUnitalNonAssocSemiring A]
+variable [Add ι] [∀ i, AddCommMonoid (A i)] [GNonUnitalNonAssocSemiring A]
 
 open AddMonoidHom (flip_apply coe_comp compHom_apply_apply)
 
+/- warning: direct_sum.gmul_hom -> DirectSum.gMulHom is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align direct_sum.gmul_hom DirectSum.gMulHomₓ'. -/
 /-- The piecewise multiplication from the `has_mul` instance, as a bundled homomorphism. -/
 @[simps]
-def gmulHom {i j} : A i →+ A j →+ A (i + j)
+def gMulHom {i j} : A i →+ A j →+ A (i + j)
     where
   toFun a :=
     { toFun := fun b => GradedMonoid.GMul.mul a b
-      map_zero' := GnonUnitalNonAssocSemiring.mul_zero _
-      map_add' := GnonUnitalNonAssocSemiring.mul_add _ }
-  map_zero' := AddMonoidHom.ext fun a => GnonUnitalNonAssocSemiring.zero_mul a
-  map_add' a₁ a₂ := AddMonoidHom.ext fun b => GnonUnitalNonAssocSemiring.add_mul _ _ _
-#align direct_sum.gmul_hom DirectSum.gmulHom
+      map_zero' := GNonUnitalNonAssocSemiring.mul_zero _
+      map_add' := GNonUnitalNonAssocSemiring.mul_add _ }
+  map_zero' := AddMonoidHom.ext fun a => GNonUnitalNonAssocSemiring.zero_mul a
+  map_add' a₁ a₂ := AddMonoidHom.ext fun b => GNonUnitalNonAssocSemiring.add_mul _ _ _
+#align direct_sum.gmul_hom DirectSum.gMulHom
 
+#print DirectSum.mulHom /-
 /-- The multiplication from the `has_mul` instance, as a bundled homomorphism. -/
 def mulHom : (⨁ i, A i) →+ (⨁ i, A i) →+ ⨁ i, A i :=
   DirectSum.toAddMonoid fun i =>
     AddMonoidHom.flip <|
       DirectSum.toAddMonoid fun j =>
-        AddMonoidHom.flip <| (DirectSum.of A _).compHom.comp <| gmulHom A
+        AddMonoidHom.flip <| (DirectSum.of A _).compHom.comp <| gMulHom A
 #align direct_sum.mul_hom DirectSum.mulHom
+-/
 
 instance : NonUnitalNonAssocSemiring (⨁ i, A i) :=
   { DirectSum.addCommMonoid _ _ with
@@ -189,6 +233,12 @@ instance : NonUnitalNonAssocSemiring (⨁ i, A i) :=
 
 variable {A}
 
+/- warning: direct_sum.mul_hom_of_of -> DirectSum.mulHom_of_of is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align direct_sum.mul_hom_of_of DirectSum.mulHom_of_ofₓ'. -/
 theorem mulHom_of_of {i j} (a : A i) (b : A j) :
     mulHom A (of _ i a) (of _ j b) = of _ (i + j) (GradedMonoid.GMul.mul a b) :=
   by
@@ -197,6 +247,12 @@ theorem mulHom_of_of {i j} (a : A i) (b : A j) :
     comp_hom_apply_apply, coe_comp, Function.comp_apply, gmul_hom_apply_apply]
 #align direct_sum.mul_hom_of_of DirectSum.mulHom_of_of
 
+/- warning: direct_sum.of_mul_of -> DirectSum.of_mul_of is a dubious translation:
+lean 3 declaration is
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=> _inst_3 i) _inst_4) i j a b))
+Case conversion may be inaccurate. Consider using '#align direct_sum.of_mul_of DirectSum.of_mul_ofₓ'. -/
 theorem of_mul_of {i j} (a : A i) (b : A j) :
     of _ i a * of _ j b = of _ (i + j) (GradedMonoid.GMul.mul a b) :=
   mulHom_of_of a b
@@ -206,29 +262,40 @@ end Mul
 
 section Semiring
 
-variable [∀ i, AddCommMonoid (A i)] [AddMonoid ι] [Gsemiring A]
+variable [∀ i, AddCommMonoid (A i)] [AddMonoid ι] [GSemiring A]
 
 open AddMonoidHom (flipHom coe_comp compHom_apply_apply flip_apply flipHom_apply)
 
-private theorem one_mul (x : ⨁ i, A i) : 1 * x = x :=
+/- warning: direct_sum.one_mul clashes with [anonymous] -> [anonymous]
+Case conversion may be inaccurate. Consider using '#align direct_sum.one_mul [anonymous]ₓ'. -/
+#print [anonymous] /-
+private theorem [anonymous] (x : ⨁ i, A i) : 1 * x = x :=
   by
   suffices mulHom A 1 = AddMonoidHom.id (⨁ i, A i) from AddMonoidHom.congr_fun this x
   apply add_hom_ext; intro i xi
   unfold One.one
   rw [mul_hom_of_of]
   exact of_eq_of_graded_monoid_eq (one_mul <| GradedMonoid.mk i xi)
-#align direct_sum.one_mul direct_sum.one_mul
+#align direct_sum.one_mul [anonymous]
+-/
 
-private theorem mul_one (x : ⨁ i, A i) : x * 1 = x :=
+/- warning: direct_sum.mul_one clashes with [anonymous] -> [anonymous]
+Case conversion may be inaccurate. Consider using '#align direct_sum.mul_one [anonymous]ₓ'. -/
+#print [anonymous] /-
+private theorem [anonymous] (x : ⨁ i, A i) : x * 1 = x :=
   by
   suffices (mulHom A).flip 1 = AddMonoidHom.id (⨁ i, A i) from AddMonoidHom.congr_fun this x
   apply add_hom_ext; intro i xi
   unfold One.one
   rw [flip_apply, mul_hom_of_of]
   exact of_eq_of_graded_monoid_eq (mul_one <| GradedMonoid.mk i xi)
-#align direct_sum.mul_one direct_sum.mul_one
+#align direct_sum.mul_one [anonymous]
+-/
 
-private theorem mul_assoc (a b c : ⨁ i, A i) : a * b * c = a * (b * c) :=
+/- warning: direct_sum.mul_assoc clashes with [anonymous] -> [anonymous]
+Case conversion may be inaccurate. Consider using '#align direct_sum.mul_assoc [anonymous]ₓ'. -/
+#print [anonymous] /-
+private theorem [anonymous] (a b c : ⨁ i, A i) : a * b * c = a * (b * c) :=
   by
   suffices
     (-- `λ a b c, a * b * c` as a bundled hom
@@ -245,8 +312,10 @@ private theorem mul_assoc (a b c : ⨁ i, A i) : a * b * c = a * (b * c) :=
   dsimp only [coe_comp, Function.comp_apply, comp_hom_apply_apply, flip_apply, flip_hom_apply]
   rw [mul_hom_of_of, mul_hom_of_of, mul_hom_of_of, mul_hom_of_of]
   exact of_eq_of_graded_monoid_eq (mul_assoc (GradedMonoid.mk ai ax) ⟨bi, bx⟩ ⟨ci, cx⟩)
-#align direct_sum.mul_assoc direct_sum.mul_assoc
+#align direct_sum.mul_assoc [anonymous]
+-/
 
+#print DirectSum.semiring /-
 /-- The `semiring` structure derived from `gsemiring A`. -/
 instance semiring : Semiring (⨁ i, A i) :=
   { DirectSum.nonUnitalNonAssocSemiring _ with
@@ -257,23 +326,36 @@ instance semiring : Semiring (⨁ i, A i) :=
     one_mul := one_mul A
     mul_one := mul_one A
     mul_assoc := mul_assoc A
-    natCast := fun n => of _ _ (Gsemiring.natCast n)
+    natCast := fun n => of _ _ (GSemiring.natCast n)
     natCast_zero := by rw [gsemiring.nat_cast_zero, map_zero]
     natCast_succ := fun n => by
       rw [gsemiring.nat_cast_succ, map_add]
       rfl }
 #align direct_sum.semiring DirectSum.semiring
+-/
 
-theorem of_pow {i} (a : A i) (n : ℕ) :
+/- warning: direct_sum.of_pow -> DirectSum.ofPow is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align direct_sum.of_pow DirectSum.ofPowₓ'. -/
+theorem ofPow {i} (a : A i) (n : ℕ) :
     of _ i a ^ n = of _ (n • i) (GradedMonoid.GMonoid.gnpow _ a) :=
   by
   induction' n with n
   · exact of_eq_of_graded_monoid_eq (pow_zero <| GradedMonoid.mk _ a).symm
   · rw [pow_succ, n_ih, of_mul_of]
     exact of_eq_of_graded_monoid_eq (pow_succ (GradedMonoid.mk _ a) n).symm
-#align direct_sum.of_pow DirectSum.of_pow
-
-theorem of_list_dProd {α} (l : List α) (fι : α → ι) (fA : ∀ a, A (fι a)) :
+#align direct_sum.of_pow DirectSum.ofPow
+
+/- warning: direct_sum.of_list_dprod -> DirectSum.ofList_dProd is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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_inst_2 i)) (AddCommMonoid.toAddMonoid.{max u2 u1} (DirectSum.{u2, u1} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (instAddCommMonoidDirectSum.{u2, u1} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i))))))) (DirectSum.of.{u2, u1} ι (fun (a : ι) (b : ι) => _inst_1 a b) A (fun (i : ι) => _inst_2 i) (fι a)) (fA a)) l))
+Case conversion may be inaccurate. Consider using '#align direct_sum.of_list_dprod DirectSum.ofList_dProdₓ'. -/
+theorem ofList_dProd {α} (l : List α) (fι : α → ι) (fA : ∀ a, A (fι a)) :
     of A _ (l.dProd fι fA) = (l.map fun a => of A (fι a) (fA a)).Prod :=
   by
   induction l
@@ -281,8 +363,14 @@ theorem of_list_dProd {α} (l : List α) (fι : α → ι) (fA : ∀ a, A (fι a
     rfl
   · simp only [List.map_cons, List.prod_cons, List.dProd_cons, ← l_ih, DirectSum.of_mul_of]
     rfl
-#align direct_sum.of_list_dprod DirectSum.of_list_dProd
-
+#align direct_sum.of_list_dprod DirectSum.ofList_dProd
+
+/- warning: direct_sum.list_prod_of_fn_of_eq_dprod -> DirectSum.list_prod_ofFn_of_eq_dProd is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align direct_sum.list_prod_of_fn_of_eq_dprod DirectSum.list_prod_ofFn_of_eq_dProdₓ'. -/
 theorem list_prod_ofFn_of_eq_dProd (n : ℕ) (fι : Fin n → ι) (fA : ∀ a, A (fι a)) :
     (List.ofFn fun a => of A (fι a) (fA a)).Prod = of A _ ((List.finRange n).dProd fι fA) := by
   rw [List.ofFn_eq_map, of_list_dprod]
@@ -290,6 +378,7 @@ theorem list_prod_ofFn_of_eq_dProd (n : ℕ) (fι : Fin n → ι) (fA : ∀ a, A
 
 open BigOperators
 
+#print DirectSum.mul_eq_dfinsupp_sum /-
 theorem mul_eq_dfinsupp_sum [∀ (i : ι) (x : A i), Decidable (x ≠ 0)] (a a' : ⨁ i, A i) :
     a * a' = a.Sum fun i ai => a'.Sum fun j aj => DirectSum.of _ _ <| GradedMonoid.GMul.mul ai aj :=
   by
@@ -297,8 +386,10 @@ theorem mul_eq_dfinsupp_sum [∀ (i : ι) (x : A i), Decidable (x ≠ 0)] (a a'
   simpa only [MulHom, to_add_monoid, Dfinsupp.liftAddHom_apply, Dfinsupp.sumAddHom_apply,
     AddMonoidHom.dfinsupp_sum_apply, flip_apply, AddMonoidHom.dfinsupp_sumAddHom_apply]
 #align direct_sum.mul_eq_dfinsupp_sum DirectSum.mul_eq_dfinsupp_sum
+-/
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
+#print DirectSum.mul_eq_sum_support_ghas_mul /-
 /-- A heavily unfolded version of the definition of multiplication -/
 theorem mul_eq_sum_support_ghas_mul [∀ (i : ι) (x : A i), Decidable (x ≠ 0)] (a a' : ⨁ i, A i) :
     a * a' =
@@ -306,21 +397,27 @@ theorem mul_eq_sum_support_ghas_mul [∀ (i : ι) (x : A i), Decidable (x ≠ 0)
         DirectSum.of _ _ (GradedMonoid.GMul.mul (a ij.fst) (a' ij.snd)) :=
   by simp only [mul_eq_dfinsupp_sum, Dfinsupp.sum, Finset.sum_product]
 #align direct_sum.mul_eq_sum_support_ghas_mul DirectSum.mul_eq_sum_support_ghas_mul
+-/
 
 end Semiring
 
 section CommSemiring
 
-variable [∀ i, AddCommMonoid (A i)] [AddCommMonoid ι] [GcommSemiring A]
+variable [∀ i, AddCommMonoid (A i)] [AddCommMonoid ι] [GCommSemiring A]
 
-private theorem mul_comm (a b : ⨁ i, A i) : a * b = b * a :=
+/- warning: direct_sum.mul_comm clashes with [anonymous] -> [anonymous]
+Case conversion may be inaccurate. Consider using '#align direct_sum.mul_comm [anonymous]ₓ'. -/
+#print [anonymous] /-
+private theorem [anonymous] (a b : ⨁ i, A i) : a * b = b * a :=
   by
   suffices mulHom A = (mulHom A).flip from AddMonoidHom.congr_fun (AddMonoidHom.congr_fun this a) b
   apply add_hom_ext; intro ai ax; apply add_hom_ext; intro bi bx
   rw [AddMonoidHom.flip_apply, mul_hom_of_of, mul_hom_of_of]
   exact of_eq_of_graded_monoid_eq (gcomm_semiring.mul_comm ⟨ai, ax⟩ ⟨bi, bx⟩)
-#align direct_sum.mul_comm direct_sum.mul_comm
+#align direct_sum.mul_comm [anonymous]
+-/
 
+#print DirectSum.commSemiring /-
 /-- The `comm_semiring` structure derived from `gcomm_semiring A`. -/
 instance commSemiring : CommSemiring (⨁ i, A i) :=
   { DirectSum.semiring _ with
@@ -330,13 +427,15 @@ instance commSemiring : CommSemiring (⨁ i, A i) :=
     add := (· + ·)
     mul_comm := mul_comm A }
 #align direct_sum.comm_semiring DirectSum.commSemiring
+-/
 
 end CommSemiring
 
 section NonUnitalNonAssocRing
 
-variable [∀ i, AddCommGroup (A i)] [Add ι] [GnonUnitalNonAssocSemiring A]
+variable [∀ i, AddCommGroup (A i)] [Add ι] [GNonUnitalNonAssocSemiring A]
 
+#print DirectSum.nonAssocRing /-
 /-- The `ring` derived from `gsemiring A`. -/
 instance nonAssocRing : NonUnitalNonAssocRing (⨁ i, A i) :=
   { DirectSum.nonUnitalNonAssocSemiring _,
@@ -346,13 +445,15 @@ instance nonAssocRing : NonUnitalNonAssocRing (⨁ i, A i) :=
     add := (· + ·)
     neg := Neg.neg }
 #align direct_sum.non_assoc_ring DirectSum.nonAssocRing
+-/
 
 end NonUnitalNonAssocRing
 
 section Ring
 
-variable [∀ i, AddCommGroup (A i)] [AddMonoid ι] [Gring A]
+variable [∀ i, AddCommGroup (A i)] [AddMonoid ι] [GRing A]
 
+#print DirectSum.ring /-
 /-- The `ring` derived from `gsemiring A`. -/
 instance ring : Ring (⨁ i, A i) :=
   { DirectSum.semiring _,
@@ -362,18 +463,20 @@ instance ring : Ring (⨁ i, A i) :=
     zero := 0
     add := (· + ·)
     neg := Neg.neg
-    intCast := fun z => of _ _ (Gring.intCast z)
-    intCast_ofNat := fun z => congr_arg _ <| Gring.intCast_of_nat _
+    intCast := fun z => of _ _ (GRing.intCast z)
+    intCast_ofNat := fun z => congr_arg _ <| GRing.intCast_of_nat _
     intCast_negSucc := fun z =>
-      (congr_arg _ <| Gring.intCast_neg_succ_of_nat _).trans (map_neg _ _) }
+      (congr_arg _ <| GRing.intCast_neg_succ_of_nat _).trans (map_neg _ _) }
 #align direct_sum.ring DirectSum.ring
+-/
 
 end Ring
 
 section CommRing
 
-variable [∀ i, AddCommGroup (A i)] [AddCommMonoid ι] [GcommRing A]
+variable [∀ i, AddCommGroup (A i)] [AddCommMonoid ι] [GCommRing A]
 
+#print DirectSum.commRing /-
 /-- The `comm_ring` derived from `gcomm_semiring A`. -/
 instance commRing : CommRing (⨁ i, A i) :=
   { DirectSum.ring _,
@@ -384,6 +487,7 @@ instance commRing : CommRing (⨁ i, A i) :=
     add := (· + ·)
     neg := Neg.neg }
 #align direct_sum.comm_ring DirectSum.commRing
+-/
 
 end CommRing
 
@@ -400,6 +504,12 @@ section One
 
 variable [Zero ι] [GradedMonoid.GOne A] [∀ i, AddCommMonoid (A i)]
 
+/- warning: direct_sum.of_zero_one -> DirectSum.of_zero_one is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align direct_sum.of_zero_one DirectSum.of_zero_oneₓ'. -/
 @[simp]
 theorem of_zero_one : of _ 0 (1 : A 0) = 1 :=
   rfl
@@ -409,35 +519,57 @@ end One
 
 section Mul
 
-variable [AddZeroClass ι] [∀ i, AddCommMonoid (A i)] [GnonUnitalNonAssocSemiring A]
+variable [AddZeroClass ι] [∀ i, AddCommMonoid (A i)] [GNonUnitalNonAssocSemiring A]
 
+/- warning: direct_sum.of_zero_smul -> DirectSum.of_zero_smul is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align direct_sum.of_zero_smul DirectSum.of_zero_smulₓ'. -/
 @[simp]
 theorem of_zero_smul {i} (a : A 0) (b : A i) : of _ _ (a • b) = of _ _ a * of _ _ b :=
   (of_eq_of_gradedMonoid_eq (GradedMonoid.mk_zero_smul a b)).trans (of_mul_of _ _).symm
 #align direct_sum.of_zero_smul DirectSum.of_zero_smul
 
+/- warning: direct_sum.of_zero_mul -> DirectSum.of_zero_mul is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align direct_sum.of_zero_mul DirectSum.of_zero_mulₓ'. -/
 @[simp]
 theorem of_zero_mul (a b : A 0) : of _ 0 (a * b) = of _ 0 a * of _ 0 b :=
   of_zero_smul A a b
 #align direct_sum.of_zero_mul DirectSum.of_zero_mul
 
+#print DirectSum.GradeZero.nonUnitalNonAssocSemiring /-
 instance GradeZero.nonUnitalNonAssocSemiring : NonUnitalNonAssocSemiring (A 0) :=
   Function.Injective.nonUnitalNonAssocSemiring (of A 0) Dfinsupp.single_injective (of A 0).map_zero
     (of A 0).map_add (of_zero_mul A) fun x n => Dfinsupp.single_smul n x
 #align direct_sum.grade_zero.non_unital_non_assoc_semiring DirectSum.GradeZero.nonUnitalNonAssocSemiring
+-/
 
+#print DirectSum.GradeZero.smulWithZero /-
 instance GradeZero.smulWithZero (i : ι) : SMulWithZero (A 0) (A i) :=
   by
   letI := SMulWithZero.compHom (⨁ i, A i) (of A 0).toZeroHom
   refine' dfinsupp.single_injective.smul_with_zero (of A i).toZeroHom (of_zero_smul A)
 #align direct_sum.grade_zero.smul_with_zero DirectSum.GradeZero.smulWithZero
+-/
 
 end Mul
 
 section Semiring
 
-variable [∀ i, AddCommMonoid (A i)] [AddMonoid ι] [Gsemiring A]
+variable [∀ i, AddCommMonoid (A i)] [AddMonoid ι] [GSemiring A]
 
+/- warning: direct_sum.of_zero_pow -> DirectSum.of_zero_pow is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align direct_sum.of_zero_pow DirectSum.of_zero_powₓ'. -/
 @[simp]
 theorem of_zero_pow (a : A 0) : ∀ n : ℕ, of _ 0 (a ^ n) = of _ 0 a ^ n
   | 0 => by rw [pow_zero, pow_zero, DirectSum.of_zero_one]
@@ -445,27 +577,37 @@ theorem of_zero_pow (a : A 0) : ∀ n : ℕ, of _ 0 (a ^ n) = of _ 0 a ^ n
 #align direct_sum.of_zero_pow DirectSum.of_zero_pow
 
 instance : NatCast (A 0) :=
-  ⟨Gsemiring.natCast⟩
-
+  ⟨GSemiring.natCast⟩
+
+/- warning: direct_sum.of_nat_cast -> DirectSum.ofNatCast is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align direct_sum.of_nat_cast DirectSum.ofNatCastₓ'. -/
 @[simp]
-theorem of_nat_cast (n : ℕ) : of A 0 n = n :=
+theorem ofNatCast (n : ℕ) : of A 0 n = n :=
   rfl
-#align direct_sum.of_nat_cast DirectSum.of_nat_cast
+#align direct_sum.of_nat_cast DirectSum.ofNatCast
 
+#print DirectSum.GradeZero.semiring /-
 /-- The `semiring` structure derived from `gsemiring A`. -/
 instance GradeZero.semiring : Semiring (A 0) :=
   Function.Injective.semiring (of A 0) Dfinsupp.single_injective (of A 0).map_zero (of_zero_one A)
-    (of A 0).map_add (of_zero_mul A) (of A 0).map_nsmul (fun x n => of_zero_pow _ _ _)
-    (of_nat_cast A)
+    (of A 0).map_add (of_zero_mul A) (of A 0).map_nsmul (fun x n => of_zero_pow _ _ _) (ofNatCast A)
 #align direct_sum.grade_zero.semiring DirectSum.GradeZero.semiring
+-/
 
+#print DirectSum.ofZeroRingHom /-
 /-- `of A 0` is a `ring_hom`, using the `direct_sum.grade_zero.semiring` structure. -/
 def ofZeroRingHom : A 0 →+* ⨁ i, A i :=
   { of _ 0 with
     map_one' := of_zero_one A
     map_mul' := of_zero_mul A }
 #align direct_sum.of_zero_ring_hom DirectSum.ofZeroRingHom
+-/
 
+#print DirectSum.GradeZero.module /-
 /-- Each grade `A i` derives a `A 0`-module structure from `gsemiring A`. Note that this results
 in an overall `module (A 0) (⨁ i, A i)` structure via `direct_sum.module`.
 -/
@@ -473,26 +615,30 @@ instance GradeZero.module {i} : Module (A 0) (A i) :=
   letI := Module.compHom (⨁ i, A i) (of_zero_ring_hom A)
   dfinsupp.single_injective.module (A 0) (of A i) fun a => of_zero_smul A a
 #align direct_sum.grade_zero.module DirectSum.GradeZero.module
+-/
 
 end Semiring
 
 section CommSemiring
 
-variable [∀ i, AddCommMonoid (A i)] [AddCommMonoid ι] [GcommSemiring A]
+variable [∀ i, AddCommMonoid (A i)] [AddCommMonoid ι] [GCommSemiring A]
 
+#print DirectSum.GradeZero.commSemiring /-
 /-- The `comm_semiring` structure derived from `gcomm_semiring A`. -/
 instance GradeZero.commSemiring : CommSemiring (A 0) :=
   Function.Injective.commSemiring (of A 0) Dfinsupp.single_injective (of A 0).map_zero
     (of_zero_one A) (of A 0).map_add (of_zero_mul A) (fun x n => Dfinsupp.single_smul n x)
-    (fun x n => of_zero_pow _ _ _) (of_nat_cast A)
+    (fun x n => of_zero_pow _ _ _) (ofNatCast A)
 #align direct_sum.grade_zero.comm_semiring DirectSum.GradeZero.commSemiring
+-/
 
 end CommSemiring
 
 section Ring
 
-variable [∀ i, AddCommGroup (A i)] [AddZeroClass ι] [GnonUnitalNonAssocSemiring A]
+variable [∀ i, AddCommGroup (A i)] [AddZeroClass ι] [GNonUnitalNonAssocSemiring A]
 
+#print DirectSum.GradeZero.nonUnitalNonAssocRing /-
 /-- The `non_unital_non_assoc_ring` derived from `gnon_unital_non_assoc_semiring A`. -/
 instance GradeZero.nonUnitalNonAssocRing : NonUnitalNonAssocRing (A 0) :=
   Function.Injective.nonUnitalNonAssocRing (of A 0) Dfinsupp.single_injective (of A 0).map_zero
@@ -504,21 +650,29 @@ instance GradeZero.nonUnitalNonAssocRing : NonUnitalNonAssocRing (A 0) :=
     letI : ∀ i, DistribMulAction ℤ (A i) := fun i => inferInstance
     Dfinsupp.single_smul n x
 #align direct_sum.grade_zero.non_unital_non_assoc_ring DirectSum.GradeZero.nonUnitalNonAssocRing
+-/
 
 end Ring
 
 section Ring
 
-variable [∀ i, AddCommGroup (A i)] [AddMonoid ι] [Gring A]
+variable [∀ i, AddCommGroup (A i)] [AddMonoid ι] [GRing A]
 
 instance : IntCast (A 0) :=
-  ⟨Gring.intCast⟩
-
+  ⟨GRing.intCast⟩
+
+/- warning: direct_sum.of_int_cast -> DirectSum.ofIntCast is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align direct_sum.of_int_cast DirectSum.ofIntCastₓ'. -/
 @[simp]
-theorem of_int_cast (n : ℤ) : of A 0 n = n :=
+theorem ofIntCast (n : ℤ) : of A 0 n = n :=
   rfl
-#align direct_sum.of_int_cast DirectSum.of_int_cast
+#align direct_sum.of_int_cast DirectSum.ofIntCast
 
+#print DirectSum.GradeZero.ring /-
 /-- The `ring` derived from `gsemiring A`. -/
 instance GradeZero.ring : Ring (A 0) :=
   Function.Injective.ring (of A 0) Dfinsupp.single_injective (of A 0).map_zero (of_zero_one A)
@@ -529,15 +683,17 @@ instance GradeZero.ring : Ring (A 0) :=
     (fun x n =>
       letI : ∀ i, DistribMulAction ℤ (A i) := fun i => inferInstance
       Dfinsupp.single_smul n x)
-    (fun x n => of_zero_pow _ _ _) (of_nat_cast A) (of_int_cast A)
+    (fun x n => of_zero_pow _ _ _) (ofNatCast A) (ofIntCast A)
 #align direct_sum.grade_zero.ring DirectSum.GradeZero.ring
+-/
 
 end Ring
 
 section CommRing
 
-variable [∀ i, AddCommGroup (A i)] [AddCommMonoid ι] [GcommRing A]
+variable [∀ i, AddCommGroup (A i)] [AddCommMonoid ι] [GCommRing A]
 
+#print DirectSum.GradeZero.commRing /-
 /-- The `comm_ring` derived from `gcomm_semiring A`. -/
 instance GradeZero.commRing : CommRing (A 0) :=
   Function.Injective.commRing (of A 0) Dfinsupp.single_injective (of A 0).map_zero (of_zero_one A)
@@ -548,8 +704,9 @@ instance GradeZero.commRing : CommRing (A 0) :=
     (fun x n =>
       letI : ∀ i, DistribMulAction ℤ (A i) := fun i => inferInstance
       Dfinsupp.single_smul n x)
-    (fun x n => of_zero_pow _ _ _) (of_nat_cast A) (of_int_cast A)
+    (fun x n => of_zero_pow _ _ _) (ofNatCast A) (ofIntCast A)
 #align direct_sum.grade_zero.comm_ring DirectSum.GradeZero.commRing
+-/
 
 end CommRing
 
@@ -557,10 +714,16 @@ end GradeZero
 
 section ToSemiring
 
-variable {R : Type _} [∀ i, AddCommMonoid (A i)] [AddMonoid ι] [Gsemiring A] [Semiring R]
+variable {R : Type _} [∀ i, AddCommMonoid (A i)] [AddMonoid ι] [GSemiring A] [Semiring R]
 
 variable {A}
 
+/- warning: direct_sum.ring_hom_ext' -> DirectSum.ringHom_ext' is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} ι] {A : ι -> Type.{u2}} {R : Type.{u3}} [_inst_2 : forall (i : ι), AddCommMonoid.{u2} (A i)] [_inst_3 : AddMonoid.{u1} ι] [_inst_4 : DirectSum.GSemiring.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) A _inst_3 (fun (i : ι) => _inst_2 i)] [_inst_5 : Semiring.{u3} R] {{F : RingHom.{max u1 u2, u3} (DirectSum.{u1, u2} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) R (Semiring.toNonAssocSemiring.{max u1 u2} (DirectSum.{u1, u2} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (DirectSum.semiring.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i) _inst_3 _inst_4)) (Semiring.toNonAssocSemiring.{u3} R _inst_5)}} {{G : RingHom.{max u1 u2, u3} (DirectSum.{u1, u2} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) R (Semiring.toNonAssocSemiring.{max u1 u2} (DirectSum.{u1, u2} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (DirectSum.semiring.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align direct_sum.ring_hom_ext' DirectSum.ringHom_ext'ₓ'. -/
 /-- If two ring homomorphisms from `⨁ i, A i` are equal on each `of A i y`,
 then they are equal.
 
@@ -571,11 +734,18 @@ theorem ringHom_ext' ⦃F G : (⨁ i, A i) →+* R⦄
   RingHom.coe_addMonoidHom_injective <| DirectSum.addHom_ext' h
 #align direct_sum.ring_hom_ext' DirectSum.ringHom_ext'
 
+/- warning: direct_sum.ring_hom_ext -> DirectSum.ringHom_ext is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align direct_sum.ring_hom_ext DirectSum.ringHom_extₓ'. -/
 /-- Two `ring_hom`s out of a direct sum are equal if they agree on the generators. -/
 theorem ringHom_ext ⦃f g : (⨁ i, A i) →+* R⦄ (h : ∀ i x, f (of A i x) = g (of A i x)) : f = g :=
   ringHom_ext' fun i => AddMonoidHom.ext <| h i
 #align direct_sum.ring_hom_ext DirectSum.ringHom_ext
 
+#print DirectSum.toSemiring /-
 /-- A family of `add_monoid_hom`s preserving `direct_sum.ghas_one.one` and `direct_sum.ghas_mul.mul`
 describes a `ring_hom`s on `⨁ i, A i`. This is a stronger version of `direct_sum.to_monoid`.
 
@@ -602,19 +772,33 @@ def toSemiring (f : ∀ i, A i →+ R) (hone : f _ GradedMonoid.GOne.one = 1)
       rw [of_mul_of, to_add_monoid_of, to_add_monoid_of, to_add_monoid_of]
       exact hmul _ _ }
 #align direct_sum.to_semiring DirectSum.toSemiring
+-/
 
+/- warning: direct_sum.to_semiring_of -> DirectSum.toSemiring_of is a dubious translation:
+lean 3 declaration is
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(Zero.toOfNat0.{u1} ι (AddMonoid.toZero.{u1} ι _inst_3)))) (AddCommMonoid.toAddMonoid.{u3} (A (OfNat.ofNat.{u1} ι 0 (Zero.toOfNat0.{u1} ι (AddMonoid.toZero.{u1} ι _inst_3)))) (_inst_2 (OfNat.ofNat.{u1} ι 0 (Zero.toOfNat0.{u1} ι (AddMonoid.toZero.{u1} ι _inst_3))))))) (AddZeroClass.toAdd.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5)))))) (AddMonoidHomClass.toAddHomClass.{max u3 u2, u3, u2} (AddMonoidHom.{u3, u2} (A (OfNat.ofNat.{u1} ι 0 (Zero.toOfNat0.{u1} ι (AddMonoid.toZero.{u1} ι _inst_3)))) R (AddMonoid.toAddZeroClass.{u3} (A (OfNat.ofNat.{u1} ι 0 (Zero.toOfNat0.{u1} ι (AddMonoid.toZero.{u1} ι _inst_3)))) (AddCommMonoid.toAddMonoid.{u3} (A (OfNat.ofNat.{u1} ι 0 (Zero.toOfNat0.{u1} ι (AddMonoid.toZero.{u1} ι _inst_3)))) (_inst_2 (OfNat.ofNat.{u1} ι 0 (Zero.toOfNat0.{u1} ι (AddMonoid.toZero.{u1} ι _inst_3)))))) (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5)))))) (A (OfNat.ofNat.{u1} ι 0 (Zero.toOfNat0.{u1} ι (AddMonoid.toZero.{u1} ι _inst_3)))) R (AddMonoid.toAddZeroClass.{u3} (A (OfNat.ofNat.{u1} ι 0 (Zero.toOfNat0.{u1} ι (AddMonoid.toZero.{u1} ι _inst_3)))) (AddCommMonoid.toAddMonoid.{u3} (A (OfNat.ofNat.{u1} ι 0 (Zero.toOfNat0.{u1} ι (AddMonoid.toZero.{u1} ι _inst_3)))) (_inst_2 (OfNat.ofNat.{u1} ι 0 (Zero.toOfNat0.{u1} ι (AddMonoid.toZero.{u1} ι _inst_3)))))) (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5))))) (AddMonoidHom.addMonoidHomClass.{u3, u2} (A (OfNat.ofNat.{u1} ι 0 (Zero.toOfNat0.{u1} ι (AddMonoid.toZero.{u1} ι _inst_3)))) R (AddMonoid.toAddZeroClass.{u3} (A (OfNat.ofNat.{u1} ι 0 (Zero.toOfNat0.{u1} ι (AddMonoid.toZero.{u1} ι _inst_3)))) (AddCommMonoid.toAddMonoid.{u3} (A (OfNat.ofNat.{u1} ι 0 (Zero.toOfNat0.{u1} ι (AddMonoid.toZero.{u1} ι _inst_3)))) (_inst_2 (OfNat.ofNat.{u1} ι 0 (Zero.toOfNat0.{u1} ι (AddMonoid.toZero.{u1} ι _inst_3)))))) (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5)))))))) (f (OfNat.ofNat.{u1} ι 0 (Zero.toOfNat0.{u1} ι (AddMonoid.toZero.{u1} ι _inst_3)))) (GradedMonoid.GOne.one.{u1, u3} ι (fun (i : ι) => A i) (AddMonoid.toZero.{u1} ι _inst_3) (DirectSum.GSemiring.toGOne.{u1, u3} ι (fun (i : ι) => A i) _inst_3 (fun (i : ι) => _inst_2 i) _inst_4))) (OfNat.ofNat.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : A (OfNat.ofNat.{u1} ι 0 (Zero.toOfNat0.{u1} ι (AddMonoid.toZero.{u1} ι _inst_3)))) => R) (GradedMonoid.GOne.one.{u1, u3} ι (fun (i : ι) => A i) 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+Case conversion may be inaccurate. Consider using '#align direct_sum.to_semiring_of DirectSum.toSemiring_ofₓ'. -/
 @[simp]
 theorem toSemiring_of (f : ∀ i, A i →+ R) (hone hmul) (i : ι) (x : A i) :
     toSemiring f hone hmul (of _ i x) = f _ x :=
   toAddMonoid_of f i x
 #align direct_sum.to_semiring_of DirectSum.toSemiring_of
 
+/- warning: direct_sum.to_semiring_coe_add_monoid_hom -> DirectSum.toSemiring_coe_addMonoidHom is a dubious translation:
+lean 3 declaration is
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(NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5)))))) (A i) R (AddMonoid.toAddZeroClass.{u3} (A i) (AddCommMonoid.toAddMonoid.{u3} (A i) (_inst_2 i))) (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5))))) (AddMonoidHom.addMonoidHomClass.{u3, u2} (A i) R (AddMonoid.toAddZeroClass.{u3} (A i) (AddCommMonoid.toAddMonoid.{u3} (A i) (_inst_2 i))) (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5)))))))) (f i) ai) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (AddMonoidHom.{u3, u2} (A j) R (AddMonoid.toAddZeroClass.{u3} (A j) (AddCommMonoid.toAddMonoid.{u3} (A j) (_inst_2 j))) (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5)))))) (A j) (fun (_x : A j) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : A j) => R) _x) (AddHomClass.toFunLike.{max u3 u2, u3, u2} (AddMonoidHom.{u3, u2} (A j) R (AddMonoid.toAddZeroClass.{u3} (A j) (AddCommMonoid.toAddMonoid.{u3} (A j) (_inst_2 j))) (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5)))))) (A j) R (AddZeroClass.toAdd.{u3} (A j) (AddMonoid.toAddZeroClass.{u3} (A j) (AddCommMonoid.toAddMonoid.{u3} (A j) (_inst_2 j)))) (AddZeroClass.toAdd.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5)))))) (AddMonoidHomClass.toAddHomClass.{max u3 u2, u3, u2} (AddMonoidHom.{u3, u2} (A j) R (AddMonoid.toAddZeroClass.{u3} (A j) (AddCommMonoid.toAddMonoid.{u3} (A j) (_inst_2 j))) (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5)))))) (A j) R (AddMonoid.toAddZeroClass.{u3} (A j) (AddCommMonoid.toAddMonoid.{u3} (A j) (_inst_2 j))) (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5))))) (AddMonoidHom.addMonoidHomClass.{u3, u2} (A j) R (AddMonoid.toAddZeroClass.{u3} (A j) (AddCommMonoid.toAddMonoid.{u3} (A j) (_inst_2 j))) (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5)))))))) (f j) aj))), Eq.{max (max (succ u1) (succ u3)) (succ u2)} (AddMonoidHom.{max u1 u3, u2} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) R (AddMonoid.toAddZeroClass.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (AddMonoidWithOne.toAddMonoid.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (NonAssocSemiring.toAddCommMonoidWithOne.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (Semiring.toNonAssocSemiring.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (DirectSum.semiring.{u1, u3} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i) _inst_3 _inst_4)))))) (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5)))))) (AddMonoidHomClass.toAddMonoidHom.{max u1 u3, u2, max (max u1 u3) u2} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) R (RingHom.{max u3 u1, u2} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) R (Semiring.toNonAssocSemiring.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (DirectSum.semiring.{u1, u3} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i) _inst_3 _inst_4)) (Semiring.toNonAssocSemiring.{u2} R _inst_5)) (AddMonoid.toAddZeroClass.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (AddMonoidWithOne.toAddMonoid.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (AddCommMonoidWithOne.toAddMonoidWithOne.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (NonAssocSemiring.toAddCommMonoidWithOne.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (Semiring.toNonAssocSemiring.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (DirectSum.semiring.{u1, u3} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i) _inst_3 _inst_4)))))) (AddMonoid.toAddZeroClass.{u2} R (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5))))) (RingHomClass.toAddMonoidHomClass.{max (max u1 u3) u2, max u1 u3, u2} (RingHom.{max u3 u1, u2} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) R (Semiring.toNonAssocSemiring.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (DirectSum.semiring.{u1, u3} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i) _inst_3 _inst_4)) (Semiring.toNonAssocSemiring.{u2} R _inst_5)) (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) R (Semiring.toNonAssocSemiring.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (DirectSum.semiring.{u1, u3} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i) _inst_3 _inst_4)) (Semiring.toNonAssocSemiring.{u2} R _inst_5) (RingHom.instRingHomClassRingHom.{max u1 u3, u2} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) R (Semiring.toNonAssocSemiring.{max u1 u3} (DirectSum.{u1, u3} ι (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i)) (DirectSum.semiring.{u1, u3} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i) _inst_3 _inst_4)) (Semiring.toNonAssocSemiring.{u2} R _inst_5))) (DirectSum.toSemiring.{u1, u3, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) R (fun (i : ι) => _inst_2 i) _inst_3 _inst_4 _inst_5 f hone hmul)) (DirectSum.toAddMonoid.{u1, u3, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => A i) (fun (i : ι) => _inst_2 i) R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_5))) f)
+Case conversion may be inaccurate. Consider using '#align direct_sum.to_semiring_coe_add_monoid_hom DirectSum.toSemiring_coe_addMonoidHomₓ'. -/
 @[simp]
 theorem toSemiring_coe_addMonoidHom (f : ∀ i, A i →+ R) (hone hmul) :
     (toSemiring f hone hmul : (⨁ i, A i) →+ R) = toAddMonoid f :=
   rfl
 #align direct_sum.to_semiring_coe_add_monoid_hom DirectSum.toSemiring_coe_addMonoidHom
 
+#print DirectSum.liftRingHom /-
 /-- Families of `add_monoid_hom`s preserving `direct_sum.ghas_one.one` and `direct_sum.ghas_mul.mul`
 are isomorphic to `ring_hom`s on `⨁ i, A i`. This is a stronger version of `dfinsupp.lift_add_hom`.
 -/
@@ -644,6 +828,7 @@ def liftRingHom :
     simp only [RingHom.coe_addMonoidHom_mk, DirectSum.toAddMonoid_of, AddMonoidHom.mk_coe,
       AddMonoidHom.comp_apply, to_semiring_coe_add_monoid_hom]
 #align direct_sum.lift_ring_hom DirectSum.liftRingHom
+-/
 
 end ToSemiring
 
@@ -656,25 +841,37 @@ section Uniform
 
 variable (ι)
 
+/- warning: non_unital_non_assoc_semiring.direct_sum_gnon_unital_non_assoc_semiring -> NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring is a dubious translation:
+lean 3 declaration is
+  forall (ι : Type.{u1}) [_inst_1 : DecidableEq.{succ u1} ι] {R : Type.{u2}} [_inst_2 : AddMonoid.{u1} ι] [_inst_3 : NonUnitalNonAssocSemiring.{u2} R], DirectSum.GNonUnitalNonAssocSemiring.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => R) (AddZeroClass.toHasAdd.{u1} ι (AddMonoid.toAddZeroClass.{u1} ι _inst_2)) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R _inst_3)
+but is expected to have type
+  forall (ι : Type.{u1}) {_inst_1 : Type.{u2}} [R : AddMonoid.{u1} ι] [_inst_2 : NonUnitalNonAssocSemiring.{u2} _inst_1], DirectSum.GNonUnitalNonAssocSemiring.{u1, u2} ι (fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6396 : ι) => _inst_1) (AddZeroClass.toAdd.{u1} ι (AddMonoid.toAddZeroClass.{u1} ι R)) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6396 : ι) => _inst_1) i) _inst_2)
+Case conversion may be inaccurate. Consider using '#align non_unital_non_assoc_semiring.direct_sum_gnon_unital_non_assoc_semiring NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiringₓ'. -/
 /-- A direct sum of copies of a `semiring` inherits the multiplication structure. -/
-instance NonUnitalNonAssocSemiring.directSumGnonUnitalNonAssocSemiring {R : Type _} [AddMonoid ι]
-    [NonUnitalNonAssocSemiring R] : DirectSum.GnonUnitalNonAssocSemiring fun i : ι => R :=
+instance NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring {R : Type _} [AddMonoid ι]
+    [NonUnitalNonAssocSemiring R] : DirectSum.GNonUnitalNonAssocSemiring fun i : ι => R :=
   { Mul.gMul ι with
     mul_zero := fun i j => MulZeroClass.mul_zero
     zero_mul := fun i j => MulZeroClass.zero_mul
     mul_add := fun i j => mul_add
     add_mul := fun i j => add_mul }
-#align non_unital_non_assoc_semiring.direct_sum_gnon_unital_non_assoc_semiring NonUnitalNonAssocSemiring.directSumGnonUnitalNonAssocSemiring
-
+#align non_unital_non_assoc_semiring.direct_sum_gnon_unital_non_assoc_semiring NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring
+
+/- warning: semiring.direct_sum_gsemiring -> Semiring.directSumGSemiring is a dubious translation:
+lean 3 declaration is
+  forall (ι : Type.{u1}) [_inst_1 : DecidableEq.{succ u1} ι] {R : Type.{u2}} [_inst_2 : AddMonoid.{u1} ι] [_inst_3 : Semiring.{u2} R], DirectSum.GSemiring.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => R) _inst_2 (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_3)))
+but is expected to have type
+  forall (ι : Type.{u1}) {_inst_1 : Type.{u2}} [R : AddMonoid.{u1} ι] [_inst_2 : Semiring.{u2} _inst_1], DirectSum.GSemiring.{u1, u2} ι (fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6437 : ι) => _inst_1) R (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6437 : ι) => _inst_1) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6437 : ι) => _inst_1) i) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6437 : ι) => _inst_1) i) _inst_2)))
+Case conversion may be inaccurate. Consider using '#align semiring.direct_sum_gsemiring Semiring.directSumGSemiringₓ'. -/
 /-- A direct sum of copies of a `semiring` inherits the multiplication structure. -/
-instance Semiring.directSumGsemiring {R : Type _} [AddMonoid ι] [Semiring R] :
-    DirectSum.Gsemiring fun i : ι => R :=
-  { NonUnitalNonAssocSemiring.directSumGnonUnitalNonAssocSemiring ι,
+instance Semiring.directSumGSemiring {R : Type _} [AddMonoid ι] [Semiring R] :
+    DirectSum.GSemiring fun i : ι => R :=
+  { NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring ι,
     Monoid.gMonoid ι with
     natCast := fun n => n
     natCast_zero := Nat.cast_zero
     natCast_succ := Nat.cast_succ }
-#align semiring.direct_sum_gsemiring Semiring.directSumGsemiring
+#align semiring.direct_sum_gsemiring Semiring.directSumGSemiring
 
 open DirectSum
 
@@ -683,12 +880,18 @@ example {R : Type _} [AddMonoid ι] [Semiring R] (i j : ι) (a b : R) :
     (DirectSum.of _ i a * DirectSum.of _ j b : ⨁ i, R) = DirectSum.of _ (i + j) (a * b) := by
   rw [DirectSum.of_mul_of, Mul.gMul_mul]
 
+/- warning: comm_semiring.direct_sum_gcomm_semiring -> CommSemiring.directSumGCommSemiring is a dubious translation:
+lean 3 declaration is
+  forall (ι : Type.{u1}) [_inst_1 : DecidableEq.{succ u1} ι] {R : Type.{u2}} [_inst_2 : AddCommMonoid.{u1} ι] [_inst_3 : CommSemiring.{u2} R], DirectSum.GCommSemiring.{u1, u2} ι (fun (a : ι) (b : ι) => _inst_1 a b) (fun (i : ι) => R) _inst_2 (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))
+but is expected to have type
+  forall (ι : Type.{u1}) {_inst_1 : Type.{u2}} [R : AddCommMonoid.{u1} ι] [_inst_2 : CommSemiring.{u2} _inst_1], DirectSum.GCommSemiring.{u1, u2} ι (fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6607 : ι) => _inst_1) R (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} ((fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6607 : ι) => _inst_1) i) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6607 : ι) => _inst_1) i) (Semiring.toNonAssocSemiring.{u2} ((fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6607 : ι) => _inst_1) i) (CommSemiring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.DirectSum.Ring._hyg.6607 : ι) => _inst_1) i) _inst_2))))
+Case conversion may be inaccurate. Consider using '#align comm_semiring.direct_sum_gcomm_semiring CommSemiring.directSumGCommSemiringₓ'. -/
 /-- A direct sum of copies of a `comm_semiring` inherits the commutative multiplication structure.
 -/
-instance CommSemiring.directSumGcommSemiring {R : Type _} [AddCommMonoid ι] [CommSemiring R] :
-    DirectSum.GcommSemiring fun i : ι => R :=
-  { CommMonoid.gCommMonoid ι, Semiring.directSumGsemiring ι with }
-#align comm_semiring.direct_sum_gcomm_semiring CommSemiring.directSumGcommSemiring
+instance CommSemiring.directSumGCommSemiring {R : Type _} [AddCommMonoid ι] [CommSemiring R] :
+    DirectSum.GCommSemiring fun i : ι => R :=
+  { CommMonoid.gCommMonoid ι, Semiring.directSumGSemiring ι with }
+#align comm_semiring.direct_sum_gcomm_semiring CommSemiring.directSumGCommSemiring
 
 end Uniform

70fd9563

bump to nightly-2023-03-11-16

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

cd44fb92

Diff

@@ -660,8 +660,8 @@ variable (ι)
 instance NonUnitalNonAssocSemiring.directSumGnonUnitalNonAssocSemiring {R : Type _} [AddMonoid ι]
     [NonUnitalNonAssocSemiring R] : DirectSum.GnonUnitalNonAssocSemiring fun i : ι => R :=
   { Mul.gMul ι with
-    mul_zero := fun i j => mul_zero
-    zero_mul := fun i j => zero_mul
+    mul_zero := fun i j => MulZeroClass.mul_zero
+    zero_mul := fun i j => MulZeroClass.zero_mul
     mul_add := fun i j => mul_add
     add_mul := fun i j => add_mul }
 #align non_unital_non_assoc_semiring.direct_sum_gnon_unital_non_assoc_semiring NonUnitalNonAssocSemiring.directSumGnonUnitalNonAssocSemiring

70fd9563

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

70fd9563

style: replace '.-/' by '. -/' (#11938)

Purely automatic replacement. If this is in any way controversial; I'm happy to just close this PR.

3556ded2

Diff

@@ -112,11 +112,11 @@ variable (A : ι → Type*)
 /-- A graded version of `Semiring`. -/
 class GSemiring [AddMonoid ι] [∀ i, AddCommMonoid (A i)] extends GNonUnitalNonAssocSemiring A,
   GradedMonoid.GMonoid A where
-  /-- The canonical map from ℕ to the zeroth component of a graded semiring.-/
+  /-- The canonical map from ℕ to the zeroth component of a graded semiring. -/
   natCast : ℕ → A 0
-  /-- The canonical map from ℕ to a graded semiring respects zero.-/
+  /-- The canonical map from ℕ to a graded semiring respects zero. -/
   natCast_zero : natCast 0 = 0
-  /-- The canonical map from ℕ to a graded semiring respects successors.-/
+  /-- The canonical map from ℕ to a graded semiring respects successors. -/
   natCast_succ : ∀ n : ℕ, natCast (n + 1) = natCast n + GradedMonoid.GOne.one
 #align direct_sum.gsemiring DirectSum.GSemiring
 
@@ -127,13 +127,13 @@ class GCommSemiring [AddCommMonoid ι] [∀ i, AddCommMonoid (A i)] extends GSem
 
 /-- A graded version of `Ring`. -/
 class GRing [AddMonoid ι] [∀ i, AddCommGroup (A i)] extends GSemiring A where
-  /-- The canonical map from ℤ to the zeroth component of a graded ring.-/
+  /-- The canonical map from ℤ to the zeroth component of a graded ring. -/
   intCast : ℤ → A 0
   /-- The canonical map from ℤ to a graded ring extends the canonical map from ℕ to the underlying
-  graded semiring.-/
+  graded semiring. -/
   intCast_ofNat : ∀ n : ℕ, intCast n = natCast n
   /-- On negative integers, the canonical map from ℤ to a graded ring is the negative extension of
-  the canonical map from ℕ to the underlying graded semiring.-/
+  the canonical map from ℕ to the underlying graded semiring. -/
   -- Porting note: -(n+1) -> Int.negSucc
   intCast_negSucc_ofNat : ∀ n : ℕ, intCast (Int.negSucc n) = -natCast (n + 1 : ℕ)
 #align direct_sum.gring DirectSum.GRing

70fd9563

chore(Field/InjSurj): Tidy (#11480)

Among other things, change the nsmul, zsmul, qsmul fields to have n/q come before x, because this matches the lemmas we want to write about them. It would be preferrable to perform the same changes to the AddMonoid/AddGroup-like typeclasses, but this is impossible with the current to_additive framework, so instead I have inserted some Function.swap at the interface between AddMonoid/AddGroup and Ring/Field.

Reduce the diff of #11203

64e5ddf0

Diff

@@ -432,7 +432,7 @@ theorem of_zero_mul (a b : A 0) : of _ 0 (a * b) = of _ 0 a * of _ 0 b :=
 
 instance GradeZero.nonUnitalNonAssocSemiring : NonUnitalNonAssocSemiring (A 0) :=
   Function.Injective.nonUnitalNonAssocSemiring (of A 0) DFinsupp.single_injective (of A 0).map_zero
-    (of A 0).map_add (of_zero_mul A) fun x n => DFinsupp.single_smul n x
+    (of A 0).map_add (of_zero_mul A) (map_nsmul _)
 #align direct_sum.grade_zero.non_unital_non_assoc_semiring DirectSum.GradeZero.nonUnitalNonAssocSemiring
 
 instance GradeZero.smulWithZero (i : ι) : SMulWithZero (A 0) (A i) := by
@@ -473,8 +473,8 @@ theorem of_zero_ofNat (n : ℕ) [n.AtLeastTwo] : of A 0 (no_index (OfNat.ofNat n
 /-- The `Semiring` structure derived from `GSemiring A`. -/
 instance GradeZero.semiring : Semiring (A 0) :=
   Function.Injective.semiring (of A 0) DFinsupp.single_injective (of A 0).map_zero (of_zero_one A)
-    (of A 0).map_add (of_zero_mul A) (of A 0).map_nsmul (fun _ _ => of_zero_pow _ _ _)
-    (of_natCast A)
+    (of A 0).map_add (of_zero_mul A) (fun _ _ ↦ (of A 0).map_nsmul _ _)
+    (fun _ _ => of_zero_pow _ _ _) (of_natCast A)
 #align direct_sum.grade_zero.semiring DirectSum.GradeZero.semiring
 
 /-- `of A 0` is a `RingHom`, using the `DirectSum.GradeZero.semiring` structure. -/
@@ -501,7 +501,7 @@ variable [∀ i, AddCommMonoid (A i)] [AddCommMonoid ι] [GCommSemiring A]
 /-- The `CommSemiring` structure derived from `GCommSemiring A`. -/
 instance GradeZero.commSemiring : CommSemiring (A 0) :=
   Function.Injective.commSemiring (of A 0) DFinsupp.single_injective (of A 0).map_zero
-    (of_zero_one A) (of A 0).map_add (of_zero_mul A) (fun x n => DFinsupp.single_smul n x)
+    (of_zero_one A) (of A 0).map_add (of_zero_mul A) (fun _ _ ↦ map_nsmul _ _ _)
     (fun _ _ => of_zero_pow _ _ _) (of_natCast A)
 #align direct_sum.grade_zero.comm_semiring DirectSum.GradeZero.commSemiring
 
@@ -514,13 +514,8 @@ variable [∀ i, AddCommGroup (A i)] [AddZeroClass ι] [GNonUnitalNonAssocSemiri
 /-- The `NonUnitalNonAssocRing` derived from `GNonUnitalNonAssocSemiring A`. -/
 instance GradeZero.nonUnitalNonAssocRing : NonUnitalNonAssocRing (A 0) :=
   Function.Injective.nonUnitalNonAssocRing (of A 0) DFinsupp.single_injective (of A 0).map_zero
-    (of A 0).map_add (of_zero_mul A) (of A 0).map_neg (of A 0).map_sub
-    (fun x n =>
-      letI : ∀ i, DistribMulAction ℕ (A i) := fun _ => inferInstance
-      DFinsupp.single_smul n x)
-    fun x n =>
-    letI : ∀ i, DistribMulAction ℤ (A i) := fun _ => inferInstance
-    DFinsupp.single_smul n x
+    (of A 0).map_add (of_zero_mul A) (of A 0).map_neg (of A 0).map_sub (fun _ _ ↦ map_nsmul _ _ _)
+    (fun _ _ ↦ map_zsmul _ _ _)
 #align direct_sum.grade_zero.non_unital_non_assoc_ring DirectSum.GradeZero.nonUnitalNonAssocRing
 
 end Ring
@@ -540,14 +535,8 @@ theorem of_intCast (n : ℤ) : of A 0 n = n := by
 /-- The `Ring` derived from `GSemiring A`. -/
 instance GradeZero.ring : Ring (A 0) :=
   Function.Injective.ring (of A 0) DFinsupp.single_injective (of A 0).map_zero (of_zero_one A)
-    (of A 0).map_add (of_zero_mul A) (of A 0).map_neg (of A 0).map_sub
-    (fun x n =>
-      letI : ∀ i, DistribMulAction ℕ (A i) := fun _ => inferInstance
-      DFinsupp.single_smul n x)
-    (fun x n =>
-      letI : ∀ i, DistribMulAction ℤ (A i) := fun _ => inferInstance
-      DFinsupp.single_smul n x)
-    (fun _ _ => of_zero_pow _ _ _) (of_natCast A) (of_intCast A)
+    (of A 0).map_add (of_zero_mul A) (of A 0).map_neg (of A 0).map_sub (fun _ _ ↦ map_nsmul _ _ _)
+    (fun _ _ ↦ map_zsmul _ _ _) (fun _ _ => of_zero_pow _ _ _) (of_natCast A) (of_intCast A)
 #align direct_sum.grade_zero.ring DirectSum.GradeZero.ring
 
 end Ring
@@ -559,14 +548,8 @@ variable [∀ i, AddCommGroup (A i)] [AddCommMonoid ι] [GCommRing A]
 /-- The `CommRing` derived from `GCommSemiring A`. -/
 instance GradeZero.commRing : CommRing (A 0) :=
   Function.Injective.commRing (of A 0) DFinsupp.single_injective (of A 0).map_zero (of_zero_one A)
-    (of A 0).map_add (of_zero_mul A) (of A 0).map_neg (of A 0).map_sub
-    (fun x n =>
-      letI : ∀ i, DistribMulAction ℕ (A i) := fun _ => inferInstance
-      DFinsupp.single_smul n x)
-    (fun x n =>
-      letI : ∀ i, DistribMulAction ℤ (A i) := fun _ => inferInstance
-      DFinsupp.single_smul n x)
-    (fun _ _ => of_zero_pow _ _ _) (of_natCast A) (of_intCast A)
+    (of A 0).map_add (of_zero_mul A) (of A 0).map_neg (of A 0).map_sub (fun _ _ ↦ map_nsmul _ _ _)
+    (fun _ _ ↦ map_zsmul _ _ _) (fun _ _ => of_zero_pow _ _ _) (of_natCast A) (of_intCast A)
 #align direct_sum.grade_zero.comm_ring DirectSum.GradeZero.commRing
 
 end CommRing

70fd9563

change the order of operation in zsmulRec and nsmulRec (#11451)

We change the following field in the definition of an additive commutative monoid:

 nsmul_succ : ∀ (n : ℕ) (x : G),
-  AddMonoid.nsmul (n + 1) x = x + AddMonoid.nsmul n x
+  AddMonoid.nsmul (n + 1) x = AddMonoid.nsmul n x + x

where the latter is more natural

We adjust the definitions of ^ in monoids, groups, etc. Originally there was a warning comment about why this natural order was preferred

use x * npowRec n x and not npowRec n x * x in the definition to make sure that definitional unfolding of npowRec is blocked, to avoid deep recursion issues.

but it seems to no longer apply.

Remarks on the PR :

pow_succ and pow_succ' have switched their meanings.
Most of the time, the proofs were adjusted by priming/unpriming one lemma, or exchanging left and right; a few proofs were more complicated to adjust.
In particular, [Mathlib/NumberTheory/RamificationInertia.lean] used Ideal.IsPrime.mul_mem_pow which is defined in [Mathlib/RingTheory/DedekindDomain/Ideal.lean]. Changing the order of operation forced me to add the symmetric lemma Ideal.IsPrime.mem_pow_mul.
the docstring for Cauchy condensation test in [Mathlib/Analysis/PSeries.lean] was mathematically incorrect, I added the mention that the function is antitone.

9a3feeae

Diff

@@ -284,7 +284,7 @@ theorem ofPow {i} (a : A i) (n : ℕ) :
     of _ i a ^ n = of _ (n • i) (GradedMonoid.GMonoid.gnpow _ a) := by
   induction' n with n n_ih
   · exact of_eq_of_gradedMonoid_eq (pow_zero <| GradedMonoid.mk _ a).symm
-  · rw [pow_succ, n_ih, of_mul_of a]
+  · rw [pow_succ, n_ih, of_mul_of]
     exact of_eq_of_gradedMonoid_eq (pow_succ (GradedMonoid.mk _ a) n).symm
 #align direct_sum.of_pow DirectSum.ofPow

70fd9563

chore(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)

75c86f04

Diff

@@ -576,7 +576,6 @@ end GradeZero
 section ToSemiring
 
 variable {R : Type*} [∀ i, AddCommMonoid (A i)] [AddMonoid ι] [GSemiring A] [Semiring R]
-
 variable {A}
 
 /-- If two ring homomorphisms from `⨁ i, A i` are equal on each `of A i y`,

70fd9563

doc: fix typos in tags header (#11088)

Fix 1 typo, 5 lowercase, 4 header depths

ab90a4e3

Diff

@@ -69,7 +69,7 @@ If `CompleteLattice.independent (Set.range A)`, these provide a gradation of `
 mapping `⨁ i, A i →+ ⨆ i, A i` can be obtained as
 `DirectSum.toMonoid (fun i ↦ AddSubmonoid.inclusion <| le_iSup A i)`.
 
-## tags
+## Tags
 
 graded ring, filtered ring, direct sum, add_submonoid
 -/

70fd9563

chore: classify slow / slower porting notes (#11084)

Classifies by adding issue number #11083 to porting notes claiming anything semantically equivalent to:

"very slow; improve performance?"
"quite slow; improve performance?"
"`tactic" was slow"
"removed attribute because it caused extremely slow tactic"
"proof was rewritten, because it was too slow"
"doing this make things very slow"
"slower implementation"

e6a09f7c

Diff

@@ -234,7 +234,7 @@ private nonrec theorem one_mul (x : ⨁ i, A i) : 1 * x = x := by
   exact of_eq_of_gradedMonoid_eq (one_mul <| GradedMonoid.mk i xi)
 #noalign direct_sum.one_mul
 
--- Porting note: `suffices` is very slow here.
+-- Porting note (#11083): `suffices` is very slow here.
 private nonrec theorem mul_one (x : ⨁ i, A i) : x * 1 = x := by
   suffices (mulHom A).flip One.one = AddMonoidHom.id (⨁ i, A i) from DFunLike.congr_fun this x
   apply addHom_ext; intro i xi

70fd9563

chore: add lemmas for nat literals corresponding to lemmas for nat casts (#8006)

I loogled for every occurrence of "cast", Nat and "natCast" and where the casted nat was n, and made sure there were corresponding @[simp] lemmas for 0, 1, and OfNat.ofNat n. This is necessary in general for simp confluence. Example:

import Mathlib

variable {α : Type*} [LinearOrderedRing α] (m n : ℕ) [m.AtLeastTwo] [n.AtLeastTwo]

example : ((OfNat.ofNat m : ℕ) : α) ≤ ((OfNat.ofNat n : ℕ) : α) ↔ (OfNat.ofNat m : ℕ) ≤ (OfNat.ofNat n : ℕ) := by
  simp only [Nat.cast_le] -- this `@[simp]` lemma can apply

example : ((OfNat.ofNat m : ℕ) : α) ≤ ((OfNat.ofNat n : ℕ) : α) ↔ (OfNat.ofNat m : α) ≤ (OfNat.ofNat n : α) := by
  simp only [Nat.cast_ofNat] -- and so can this one

example : (OfNat.ofNat m : α) ≤ (OfNat.ofNat n : α) ↔ (OfNat.ofNat m : ℕ) ≤ (OfNat.ofNat n : ℕ) := by
  simp -- fails! `simp` doesn't have a lemma to bridge their results. confluence issue.

As far as I know, the only file this PR leaves with ofNat gaps is PartENat.lean. #8002 is addressing that file in parallel.

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

bbe9baad

Diff

@@ -457,11 +457,19 @@ theorem of_zero_pow (a : A 0) : ∀ n : ℕ, of A 0 (a ^ n) = of A 0 a ^ n
 instance : NatCast (A 0) :=
   ⟨GSemiring.natCast⟩
 
+
+-- TODO: These could be replaced by the general lemmas for `AddMonoidHomClass` (`map_natCast'` and
+-- `map_ofNat'`) if those were marked `@[simp low]`.
 @[simp]
 theorem of_natCast (n : ℕ) : of A 0 n = n :=
   rfl
 #align direct_sum.of_nat_cast DirectSum.of_natCast
 
+-- See note [no_index around OfNat.ofNat]
+@[simp]
+theorem of_zero_ofNat (n : ℕ) [n.AtLeastTwo] : of A 0 (no_index (OfNat.ofNat n)) = OfNat.ofNat n :=
+  of_natCast A n
+
 /-- The `Semiring` structure derived from `GSemiring A`. -/
 instance GradeZero.semiring : Semiring (A 0) :=
   Function.Injective.semiring (of A 0) DFinsupp.single_injective (of A 0).map_zero (of_zero_one A)

70fd9563

fix(Algebra/DirectSum/Ring): correct mis-ported lemma names (#10953)

Co-authored-by: timotree3 <timorcb@gmail.com>

a3692d91

Diff

@@ -458,15 +458,15 @@ instance : NatCast (A 0) :=
   ⟨GSemiring.natCast⟩
 
 @[simp]
-theorem ofNatCast (n : ℕ) : of A 0 n = n :=
+theorem of_natCast (n : ℕ) : of A 0 n = n :=
   rfl
-#align direct_sum.of_nat_cast DirectSum.ofNatCast
+#align direct_sum.of_nat_cast DirectSum.of_natCast
 
 /-- The `Semiring` structure derived from `GSemiring A`. -/
 instance GradeZero.semiring : Semiring (A 0) :=
   Function.Injective.semiring (of A 0) DFinsupp.single_injective (of A 0).map_zero (of_zero_one A)
     (of A 0).map_add (of_zero_mul A) (of A 0).map_nsmul (fun _ _ => of_zero_pow _ _ _)
-    (ofNatCast A)
+    (of_natCast A)
 #align direct_sum.grade_zero.semiring DirectSum.GradeZero.semiring
 
 /-- `of A 0` is a `RingHom`, using the `DirectSum.GradeZero.semiring` structure. -/
@@ -494,7 +494,7 @@ variable [∀ i, AddCommMonoid (A i)] [AddCommMonoid ι] [GCommSemiring A]
 instance GradeZero.commSemiring : CommSemiring (A 0) :=
   Function.Injective.commSemiring (of A 0) DFinsupp.single_injective (of A 0).map_zero
     (of_zero_one A) (of A 0).map_add (of_zero_mul A) (fun x n => DFinsupp.single_smul n x)
-    (fun _ _ => of_zero_pow _ _ _) (ofNatCast A)
+    (fun _ _ => of_zero_pow _ _ _) (of_natCast A)
 #align direct_sum.grade_zero.comm_semiring DirectSum.GradeZero.commSemiring
 
 end CommSemiring
@@ -525,9 +525,9 @@ instance : IntCast (A 0) :=
   ⟨GRing.intCast⟩
 
 @[simp]
-theorem ofIntCast (n : ℤ) : of A 0 n = n := by
+theorem of_intCast (n : ℤ) : of A 0 n = n := by
   rfl
-#align direct_sum.of_int_cast DirectSum.ofIntCast
+#align direct_sum.of_int_cast DirectSum.of_intCast
 
 /-- The `Ring` derived from `GSemiring A`. -/
 instance GradeZero.ring : Ring (A 0) :=
@@ -539,7 +539,7 @@ instance GradeZero.ring : Ring (A 0) :=
     (fun x n =>
       letI : ∀ i, DistribMulAction ℤ (A i) := fun _ => inferInstance
       DFinsupp.single_smul n x)
-    (fun _ _ => of_zero_pow _ _ _) (ofNatCast A) (ofIntCast A)
+    (fun _ _ => of_zero_pow _ _ _) (of_natCast A) (of_intCast A)
 #align direct_sum.grade_zero.ring DirectSum.GradeZero.ring
 
 end Ring
@@ -558,7 +558,7 @@ instance GradeZero.commRing : CommRing (A 0) :=
     (fun x n =>
       letI : ∀ i, DistribMulAction ℤ (A i) := fun _ => inferInstance
       DFinsupp.single_smul n x)
-    (fun _ _ => of_zero_pow _ _ _) (ofNatCast A) (ofIntCast A)
+    (fun _ _ => of_zero_pow _ _ _) (of_natCast A) (of_intCast A)
 #align direct_sum.grade_zero.comm_ring DirectSum.GradeZero.commRing
 
 end CommRing

70fd9563

chore: classify simp can do this porting notes (#10619)

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

de765f60

Diff

@@ -614,7 +614,7 @@ def toSemiring (f : ∀ i, A i →+ R) (hone : f _ GradedMonoid.GOne.one = 1)
       exact hmul _ _ }
 #align direct_sum.to_semiring DirectSum.toSemiring
 
--- Porting note: removed @[simp] as simp can prove this
+-- Porting note (#10618): removed @[simp] as simp can prove this
 theorem toSemiring_of (f : ∀ i, A i →+ R) (hone hmul) (i : ι) (x : A i) :
     toSemiring f hone hmul (of _ i x) = f _ x :=
   toAddMonoid_of f i x

70fd9563

style(Algebra/DirectSum/Ring): add newline (#10737)

2b9e5ce4

Diff

@@ -99,7 +99,8 @@ class GNonUnitalNonAssocSemiring [Add ι] [∀ i, AddCommMonoid (A i)] extends
   addition. -/
   mul_add : ∀ {i j} (a : A i) (b c : A j), mul a (b + c) = mul a b + mul a c
   /-- Multiplication from the left between graded components distributes with respect to
-  addition. -/  add_mul : ∀ {i j} (a b : A i) (c : A j), mul (a + b) c = mul a c + mul b c
+  addition. -/
+  add_mul : ∀ {i j} (a b : A i) (c : A j), mul (a + b) c = mul a c + mul b c
 #align direct_sum.gnon_unital_non_assoc_semiring DirectSum.GNonUnitalNonAssocSemiring
 
 end Defs

70fd9563

chore(*): rename FunLike to DFunLike (#9785)

This prepares for the introduction of a non-dependent synonym of FunLike, which helps a lot with keeping #8386 readable.

This is entirely search-and-replace in 680197f combined with manual fixes in 4145626, e900597 and b8428f8. The commands that generated this change:

sed -i 's/\bFunLike\b/DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoFunLike\b/toDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/import Mathlib.Data.DFunLike/import Mathlib.Data.FunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bHom_FunLike\b/Hom_DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean     
sed -i 's/\binstFunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bfunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoo many metavariables to apply `fun_like.has_coe_to_fun`/too many metavariables to apply `DFunLike.hasCoeToFun`/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean

Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>

82656743

Diff

@@ -226,7 +226,7 @@ variable [∀ i, AddCommMonoid (A i)] [AddMonoid ι] [GSemiring A]
 open AddMonoidHom (flipHom coe_comp compHom flip_apply)
 
 private nonrec theorem one_mul (x : ⨁ i, A i) : 1 * x = x := by
-  suffices mulHom A One.one = AddMonoidHom.id (⨁ i, A i) from FunLike.congr_fun this x
+  suffices mulHom A One.one = AddMonoidHom.id (⨁ i, A i) from DFunLike.congr_fun this x
   apply addHom_ext; intro i xi
   simp only [One.one]
   rw [mulHom_of_of]
@@ -235,7 +235,7 @@ private nonrec theorem one_mul (x : ⨁ i, A i) : 1 * x = x := by
 
 -- Porting note: `suffices` is very slow here.
 private nonrec theorem mul_one (x : ⨁ i, A i) : x * 1 = x := by
-  suffices (mulHom A).flip One.one = AddMonoidHom.id (⨁ i, A i) from FunLike.congr_fun this x
+  suffices (mulHom A).flip One.one = AddMonoidHom.id (⨁ i, A i) from DFunLike.congr_fun this x
   apply addHom_ext; intro i xi
   simp only [One.one]
   rw [flip_apply, mulHom_of_of]
@@ -248,7 +248,7 @@ private theorem mul_assoc (a b c : ⨁ i, A i) : a * b * c = a * (b * c) := by
   -- (`fun a b c => a * b * c` as a bundled hom) = (`fun a b c => a * (b * c)` as a bundled hom)
   suffices (mulHom A).compHom.comp (mulHom A) =
       (AddMonoidHom.compHom flipHom <| (mulHom A).flip.compHom.comp (mulHom A)).flip by
-      have sol := FunLike.congr_fun (FunLike.congr_fun (FunLike.congr_fun this a) b) c
+      have sol := DFunLike.congr_fun (DFunLike.congr_fun (DFunLike.congr_fun this a) b) c
       have aux : ∀ a b, (mulHom A) a b = a * b := fun _ _ ↦ rfl
       simp only [coe_comp, Function.comp_apply, AddMonoidHom.compHom_apply_apply, aux, flip_apply,
         AddMonoidHom.flipHom_apply] at sol

70fd9563

chore(*): replace $ with <| (#9319)

See Zulip thread for the discussion.

9f6d3388

Diff

@@ -67,7 +67,7 @@ instances for:
 
 If `CompleteLattice.independent (Set.range A)`, these provide a gradation of `⨆ i, A i`, and the
 mapping `⨁ i, A i →+ ⨆ i, A i` can be obtained as
-`DirectSum.toMonoid (fun i ↦ AddSubmonoid.inclusion $ le_iSup A i)`.
+`DirectSum.toMonoid (fun i ↦ AddSubmonoid.inclusion <| le_iSup A i)`.
 
 ## tags

70fd9563

chore: remove nonterminal simp (#7580)

Removes nonterminal simps on lines looking like simp [...]

6fc8e6ec

Diff

@@ -643,7 +643,7 @@ def liftRingHom :
       rfl,
       by
       intros i j ai aj
-      simp [AddMonoidHom.comp_apply]
+      simp only [AddMonoidHom.comp_apply, AddMonoidHom.coe_coe]
       rw [← F.map_mul (of A i ai), of_mul_of ai]⟩
   left_inv f := by
     ext xi xv

70fd9563

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

This reverts commit f3695eb2.

ab56fa28

Diff

@@ -312,8 +312,10 @@ theorem mul_eq_dfinsupp_sum [∀ (i : ι) (x : A i), Decidable (x ≠ 0)] (a a'
   -- Porting note: I have no idea how the proof from ml3 worked it used to be
   -- simpa only [mul_hom, to_add_monoid, dfinsupp.lift_add_hom_apply, dfinsupp.sum_add_hom_apply,
   -- add_monoid_hom.dfinsupp_sum_apply, flip_apply, add_monoid_hom.dfinsupp_sum_add_hom_apply],
-  rw [mulHom,toAddMonoid,DFinsupp.liftAddHom_apply,DFinsupp.sumAddHom_apply,
-    AddMonoidHom.dfinsupp_sum_apply]
+  rw [mulHom, toAddMonoid, DFinsupp.liftAddHom_apply]
+  -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
+  erw [DFinsupp.sumAddHom_apply]
+  rw [AddMonoidHom.dfinsupp_sum_apply]
   apply congrArg _
   funext x
   simp_rw [flip_apply]

70fd9563

chore: revert #7703 (#7710)

This reverts commit 26eb2b0a.

f3695eb2

Diff

@@ -312,10 +312,8 @@ theorem mul_eq_dfinsupp_sum [∀ (i : ι) (x : A i), Decidable (x ≠ 0)] (a a'
   -- Porting note: I have no idea how the proof from ml3 worked it used to be
   -- simpa only [mul_hom, to_add_monoid, dfinsupp.lift_add_hom_apply, dfinsupp.sum_add_hom_apply,
   -- add_monoid_hom.dfinsupp_sum_apply, flip_apply, add_monoid_hom.dfinsupp_sum_add_hom_apply],
-  rw [mulHom, toAddMonoid, DFinsupp.liftAddHom_apply]
-  -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
-  erw [DFinsupp.sumAddHom_apply]
-  rw [AddMonoidHom.dfinsupp_sum_apply]
+  rw [mulHom,toAddMonoid,DFinsupp.liftAddHom_apply,DFinsupp.sumAddHom_apply,
+    AddMonoidHom.dfinsupp_sum_apply]
   apply congrArg _
   funext x
   simp_rw [flip_apply]

70fd9563

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

@@ -312,8 +312,10 @@ theorem mul_eq_dfinsupp_sum [∀ (i : ι) (x : A i), Decidable (x ≠ 0)] (a a'
   -- Porting note: I have no idea how the proof from ml3 worked it used to be
   -- simpa only [mul_hom, to_add_monoid, dfinsupp.lift_add_hom_apply, dfinsupp.sum_add_hom_apply,
   -- add_monoid_hom.dfinsupp_sum_apply, flip_apply, add_monoid_hom.dfinsupp_sum_add_hom_apply],
-  rw [mulHom,toAddMonoid,DFinsupp.liftAddHom_apply,DFinsupp.sumAddHom_apply,
-    AddMonoidHom.dfinsupp_sum_apply]
+  rw [mulHom, toAddMonoid, DFinsupp.liftAddHom_apply]
+  -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
+  erw [DFinsupp.sumAddHom_apply]
+  rw [AddMonoidHom.dfinsupp_sum_apply]
   apply congrArg _
   funext x
   simp_rw [flip_apply]

70fd9563

chore(Algebra/DirectSum/Ring): add missing rfl lemma (#7575)

This isn't a simp lemma for the same reason that Algebra.TensorProduct.one_def isn't.

Also simplifies the term in the instance.

1d33c1b9

Diff

@@ -158,7 +158,9 @@ section One
 
 variable [Zero ι] [GradedMonoid.GOne A] [∀ i, AddCommMonoid (A i)]
 
-instance : One (⨁ i, A i) where one := DirectSum.of (fun i => A i) 0 GradedMonoid.GOne.one
+instance : One (⨁ i, A i) where one := DirectSum.of A 0 GradedMonoid.GOne.one
+
+theorem one_def : 1 = DirectSum.of A 0 GradedMonoid.GOne.one := rfl
 
 end One

70fd9563

perf: remove overspecified fields (#6965)

This removes redundant field values of the form add := add for smaller terms and less unfolding during unification.

A list of all files containing a structure instance of the form { a1, ... with x1 := val, ... } where some xi is a field of some aj was generated by modifying the structure instance elaboration algorithm to print such overlaps to stdout in a custom toolchain.

Using that toolchain, I went through each file on the list and attempted to remove algebraic fields that overlapped and were redundant, eg add := add and not toFun (though some other ones did creep in). If things broke (which was the case in a couple of cases), I did not push further and reverted.

It is possible that pushing harder and trying to remove all redundant overlaps will yield further improvements.

12150475

Diff

@@ -345,10 +345,6 @@ private theorem mul_comm (a b : ⨁ i, A i) : a * b = b * a := by
 /-- The `CommSemiring` structure derived from `GCommSemiring A`. -/
 instance commSemiring : CommSemiring (⨁ i, A i) :=
   { DirectSum.semiring A with
-    one := 1
-    mul := (· * ·)
-    zero := 0
-    add := (· + ·)
     mul_comm := mul_comm A }
 #align direct_sum.comm_semiring DirectSum.commSemiring
 
@@ -361,11 +357,7 @@ variable [∀ i, AddCommGroup (A i)] [Add ι] [GNonUnitalNonAssocSemiring A]
 /-- The `Ring` derived from `GSemiring A`. -/
 instance nonAssocRing : NonUnitalNonAssocRing (⨁ i, A i) :=
   { (inferInstance : NonUnitalNonAssocSemiring (⨁ i, A i)),
-    (inferInstance : AddCommGroup (⨁ i, A i)) with
-    mul := (· * ·)
-    zero := 0
-    add := (· + ·)
-    neg := Neg.neg }
+    (inferInstance : AddCommGroup (⨁ i, A i)) with }
 #align direct_sum.non_assoc_ring DirectSum.nonAssocRing
 
 end NonUnitalNonAssocRing
@@ -394,12 +386,7 @@ variable [∀ i, AddCommGroup (A i)] [AddCommMonoid ι] [GCommRing A]
 /-- The `CommRing` derived from `GCommSemiring A`. -/
 instance commRing : CommRing (⨁ i, A i) :=
   { DirectSum.ring A,
-    DirectSum.commSemiring A with
-    one := 1
-    mul := (· * ·)
-    zero := 0
-    add := (· + ·)
-    neg := Neg.neg }
+    DirectSum.commSemiring A with }
 #align direct_sum.comm_ring DirectSum.commRing
 
 end CommRing

70fd9563

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

@@ -75,7 +75,7 @@ graded ring, filtered ring, direct sum, add_submonoid
 -/
 
 
-variable {ι : Type _} [DecidableEq ι]
+variable {ι : Type*} [DecidableEq ι]
 
 namespace DirectSum
 
@@ -86,7 +86,7 @@ open DirectSum
 
 section Defs
 
-variable (A : ι → Type _)
+variable (A : ι → Type*)
 
 /-- A graded version of `NonUnitalNonAssocSemiring`. -/
 class GNonUnitalNonAssocSemiring [Add ι] [∀ i, AddCommMonoid (A i)] extends
@@ -106,7 +106,7 @@ end Defs
 
 section Defs
 
-variable (A : ι → Type _)
+variable (A : ι → Type*)
 
 /-- A graded version of `Semiring`. -/
 class GSemiring [AddMonoid ι] [∀ i, AddCommMonoid (A i)] extends GNonUnitalNonAssocSemiring A,
@@ -143,13 +143,13 @@ class GCommRing [AddCommMonoid ι] [∀ i, AddCommGroup (A i)] extends GRing A,
 
 end Defs
 
-theorem of_eq_of_gradedMonoid_eq {A : ι → Type _} [∀ i : ι, AddCommMonoid (A i)] {i j : ι} {a : A i}
+theorem of_eq_of_gradedMonoid_eq {A : ι → Type*} [∀ i : ι, AddCommMonoid (A i)] {i j : ι} {a : A i}
     {b : A j} (h : GradedMonoid.mk i a = GradedMonoid.mk j b) :
     DirectSum.of A i a = DirectSum.of A j b :=
   DFinsupp.single_eq_of_sigma_eq h
 #align direct_sum.of_eq_of_graded_monoid_eq DirectSum.of_eq_of_gradedMonoid_eq
 
-variable (A : ι → Type _)
+variable (A : ι → Type*)
 
 /-! ### Instances for `⨁ i, A i` -/
 
@@ -575,7 +575,7 @@ end GradeZero
 
 section ToSemiring
 
-variable {R : Type _} [∀ i, AddCommMonoid (A i)] [AddMonoid ι] [GSemiring A] [Semiring R]
+variable {R : Type*} [∀ i, AddCommMonoid (A i)] [AddMonoid ι] [GSemiring A] [Semiring R]
 
 variable {A}
 
@@ -676,7 +676,7 @@ section Uniform
 variable (ι)
 
 /-- A direct sum of copies of a `Semiring` inherits the multiplication structure. -/
-instance NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring {R : Type _} [AddMonoid ι]
+instance NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring {R : Type*} [AddMonoid ι]
     [NonUnitalNonAssocSemiring R] : DirectSum.GNonUnitalNonAssocSemiring fun _ : ι => R :=
   { -- Porting note: removed Mul.gMul ι with and we seem ok
     mul_zero := mul_zero
@@ -686,7 +686,7 @@ instance NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring {R : Type
 #align non_unital_non_assoc_semiring.direct_sum_gnon_unital_non_assoc_semiring NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring
 
 /-- A direct sum of copies of a `Semiring` inherits the multiplication structure. -/
-instance Semiring.directSumGSemiring {R : Type _} [AddMonoid ι] [Semiring R] :
+instance Semiring.directSumGSemiring {R : Type*} [AddMonoid ι] [Semiring R] :
     DirectSum.GSemiring fun _ : ι => R :=
   { NonUnitalNonAssocSemiring.directSumGNonUnitalNonAssocSemiring ι,
     Monoid.gMonoid ι with
@@ -698,13 +698,13 @@ instance Semiring.directSumGSemiring {R : Type _} [AddMonoid ι] [Semiring R] :
 open DirectSum
 
 -- To check `Mul.gmul_mul` matches
-example {R : Type _} [AddMonoid ι] [Semiring R] (i j : ι) (a b : R) :
+example {R : Type*} [AddMonoid ι] [Semiring R] (i j : ι) (a b : R) :
     (DirectSum.of _ i a * DirectSum.of _ j b : ⨁ _, R) = DirectSum.of _ (i + j) (a * b) := by
   rw [DirectSum.of_mul_of, Mul.gMul_mul]
 
 /-- A direct sum of copies of a `CommSemiring` inherits the commutative multiplication structure.
 -/
-instance CommSemiring.directSumGCommSemiring {R : Type _} [AddCommMonoid ι] [CommSemiring R] :
+instance CommSemiring.directSumGCommSemiring {R : Type*} [AddCommMonoid ι] [CommSemiring R] :
     DirectSum.GCommSemiring fun _ : ι => R :=
   { CommMonoid.gCommMonoid ι, Semiring.directSumGSemiring ι with }
 #align comm_semiring.direct_sum_gcomm_semiring CommSemiring.directSumGCommSemiring

70fd9563

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

@@ -2,15 +2,12 @@
 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.direct_sum.ring
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.GradedMonoid
 import Mathlib.Algebra.DirectSum.Basic
 
+#align_import algebra.direct_sum.ring from "leanprover-community/mathlib"@"70fd9563a21e7b963887c9360bd29b2393e6225a"
+
 /-!
 # Additively-graded multiplicative structures on `⨁ i, A i`

70fd9563

chore: rename Dfinsupp to DFinsupp (#5822)

See #4354

268b7d43

Diff

@@ -149,7 +149,7 @@ end Defs
 theorem of_eq_of_gradedMonoid_eq {A : ι → Type _} [∀ i : ι, AddCommMonoid (A i)] {i j : ι} {a : A i}
     {b : A j} (h : GradedMonoid.mk i a = GradedMonoid.mk j b) :
     DirectSum.of A i a = DirectSum.of A j b :=
-  Dfinsupp.single_eq_of_sigma_eq h
+  DFinsupp.single_eq_of_sigma_eq h
 #align direct_sum.of_eq_of_graded_monoid_eq DirectSum.of_eq_of_gradedMonoid_eq
 
 variable (A : ι → Type _)
@@ -313,12 +313,12 @@ theorem mul_eq_dfinsupp_sum [∀ (i : ι) (x : A i), Decidable (x ≠ 0)] (a a'
   -- Porting note: I have no idea how the proof from ml3 worked it used to be
   -- simpa only [mul_hom, to_add_monoid, dfinsupp.lift_add_hom_apply, dfinsupp.sum_add_hom_apply,
   -- add_monoid_hom.dfinsupp_sum_apply, flip_apply, add_monoid_hom.dfinsupp_sum_add_hom_apply],
-  rw [mulHom,toAddMonoid,Dfinsupp.liftAddHom_apply,Dfinsupp.sumAddHom_apply,
+  rw [mulHom,toAddMonoid,DFinsupp.liftAddHom_apply,DFinsupp.sumAddHom_apply,
     AddMonoidHom.dfinsupp_sum_apply]
   apply congrArg _
   funext x
   simp_rw [flip_apply]
-  erw [Dfinsupp.sumAddHom_apply]
+  erw [DFinsupp.sumAddHom_apply]
   simp only [gMulHom, AddMonoidHom.dfinsupp_sum_apply, flip_apply, coe_comp, AddMonoidHom.coe_mk,
   ZeroHom.coe_mk, Function.comp_apply, AddMonoidHom.compHom_apply_apply]
 #align direct_sum.mul_eq_dfinsupp_sum DirectSum.mul_eq_dfinsupp_sum
@@ -326,9 +326,9 @@ theorem mul_eq_dfinsupp_sum [∀ (i : ι) (x : A i), Decidable (x ≠ 0)] (a a'
 /-- A heavily unfolded version of the definition of multiplication -/
 theorem mul_eq_sum_support_ghas_mul [∀ (i : ι) (x : A i), Decidable (x ≠ 0)] (a a' : ⨁ i, A i) :
     a * a' =
-      ∑ ij in Dfinsupp.support a ×ˢ Dfinsupp.support a',
+      ∑ ij in DFinsupp.support a ×ˢ DFinsupp.support a',
         DirectSum.of _ _ (GradedMonoid.GMul.mul (a ij.fst) (a' ij.snd)) :=
-  by simp only [mul_eq_dfinsupp_sum, Dfinsupp.sum, Finset.sum_product]
+  by simp only [mul_eq_dfinsupp_sum, DFinsupp.sum, Finset.sum_product]
 #align direct_sum.mul_eq_sum_support_ghas_mul DirectSum.mul_eq_sum_support_ghas_mul
 
 end Semiring
@@ -442,13 +442,13 @@ theorem of_zero_mul (a b : A 0) : of _ 0 (a * b) = of _ 0 a * of _ 0 b :=
 #align direct_sum.of_zero_mul DirectSum.of_zero_mul
 
 instance GradeZero.nonUnitalNonAssocSemiring : NonUnitalNonAssocSemiring (A 0) :=
-  Function.Injective.nonUnitalNonAssocSemiring (of A 0) Dfinsupp.single_injective (of A 0).map_zero
-    (of A 0).map_add (of_zero_mul A) fun x n => Dfinsupp.single_smul n x
+  Function.Injective.nonUnitalNonAssocSemiring (of A 0) DFinsupp.single_injective (of A 0).map_zero
+    (of A 0).map_add (of_zero_mul A) fun x n => DFinsupp.single_smul n x
 #align direct_sum.grade_zero.non_unital_non_assoc_semiring DirectSum.GradeZero.nonUnitalNonAssocSemiring
 
 instance GradeZero.smulWithZero (i : ι) : SMulWithZero (A 0) (A i) := by
   letI := SMulWithZero.compHom (⨁ i, A i) (of A 0).toZeroHom
-  exact Function.Injective.smulWithZero (of A i).toZeroHom Dfinsupp.single_injective
+  exact Function.Injective.smulWithZero (of A i).toZeroHom DFinsupp.single_injective
     (of_zero_smul A)
 #align direct_sum.grade_zero.smul_with_zero DirectSum.GradeZero.smulWithZero
 
@@ -475,7 +475,7 @@ theorem ofNatCast (n : ℕ) : of A 0 n = n :=
 
 /-- The `Semiring` structure derived from `GSemiring A`. -/
 instance GradeZero.semiring : Semiring (A 0) :=
-  Function.Injective.semiring (of A 0) Dfinsupp.single_injective (of A 0).map_zero (of_zero_one A)
+  Function.Injective.semiring (of A 0) DFinsupp.single_injective (of A 0).map_zero (of_zero_one A)
     (of A 0).map_add (of_zero_mul A) (of A 0).map_nsmul (fun _ _ => of_zero_pow _ _ _)
     (ofNatCast A)
 #align direct_sum.grade_zero.semiring DirectSum.GradeZero.semiring
@@ -492,7 +492,7 @@ in an overall `Module (A 0) (⨁ i, A i)` structure via `DirectSum.module`.
 -/
 instance GradeZero.module {i} : Module (A 0) (A i) :=
   letI := Module.compHom (⨁ i, A i) (ofZeroRingHom A)
-  Dfinsupp.single_injective.module (A 0) (of A i) fun a => of_zero_smul A a
+  DFinsupp.single_injective.module (A 0) (of A i) fun a => of_zero_smul A a
 #align direct_sum.grade_zero.module DirectSum.GradeZero.module
 
 end Semiring
@@ -503,8 +503,8 @@ variable [∀ i, AddCommMonoid (A i)] [AddCommMonoid ι] [GCommSemiring A]
 
 /-- The `CommSemiring` structure derived from `GCommSemiring A`. -/
 instance GradeZero.commSemiring : CommSemiring (A 0) :=
-  Function.Injective.commSemiring (of A 0) Dfinsupp.single_injective (of A 0).map_zero
-    (of_zero_one A) (of A 0).map_add (of_zero_mul A) (fun x n => Dfinsupp.single_smul n x)
+  Function.Injective.commSemiring (of A 0) DFinsupp.single_injective (of A 0).map_zero
+    (of_zero_one A) (of A 0).map_add (of_zero_mul A) (fun x n => DFinsupp.single_smul n x)
     (fun _ _ => of_zero_pow _ _ _) (ofNatCast A)
 #align direct_sum.grade_zero.comm_semiring DirectSum.GradeZero.commSemiring
 
@@ -516,14 +516,14 @@ variable [∀ i, AddCommGroup (A i)] [AddZeroClass ι] [GNonUnitalNonAssocSemiri
 
 /-- The `NonUnitalNonAssocRing` derived from `GNonUnitalNonAssocSemiring A`. -/
 instance GradeZero.nonUnitalNonAssocRing : NonUnitalNonAssocRing (A 0) :=
-  Function.Injective.nonUnitalNonAssocRing (of A 0) Dfinsupp.single_injective (of A 0).map_zero
+  Function.Injective.nonUnitalNonAssocRing (of A 0) DFinsupp.single_injective (of A 0).map_zero
     (of A 0).map_add (of_zero_mul A) (of A 0).map_neg (of A 0).map_sub
     (fun x n =>
       letI : ∀ i, DistribMulAction ℕ (A i) := fun _ => inferInstance
-      Dfinsupp.single_smul n x)
+      DFinsupp.single_smul n x)
     fun x n =>
     letI : ∀ i, DistribMulAction ℤ (A i) := fun _ => inferInstance
-    Dfinsupp.single_smul n x
+    DFinsupp.single_smul n x
 #align direct_sum.grade_zero.non_unital_non_assoc_ring DirectSum.GradeZero.nonUnitalNonAssocRing
 
 end Ring
@@ -542,14 +542,14 @@ theorem ofIntCast (n : ℤ) : of A 0 n = n := by
 
 /-- The `Ring` derived from `GSemiring A`. -/
 instance GradeZero.ring : Ring (A 0) :=
-  Function.Injective.ring (of A 0) Dfinsupp.single_injective (of A 0).map_zero (of_zero_one A)
+  Function.Injective.ring (of A 0) DFinsupp.single_injective (of A 0).map_zero (of_zero_one A)
     (of A 0).map_add (of_zero_mul A) (of A 0).map_neg (of A 0).map_sub
     (fun x n =>
       letI : ∀ i, DistribMulAction ℕ (A i) := fun _ => inferInstance
-      Dfinsupp.single_smul n x)
+      DFinsupp.single_smul n x)
     (fun x n =>
       letI : ∀ i, DistribMulAction ℤ (A i) := fun _ => inferInstance
-      Dfinsupp.single_smul n x)
+      DFinsupp.single_smul n x)
     (fun _ _ => of_zero_pow _ _ _) (ofNatCast A) (ofIntCast A)
 #align direct_sum.grade_zero.ring DirectSum.GradeZero.ring
 
@@ -561,14 +561,14 @@ variable [∀ i, AddCommGroup (A i)] [AddCommMonoid ι] [GCommRing A]
 
 /-- The `CommRing` derived from `GCommSemiring A`. -/
 instance GradeZero.commRing : CommRing (A 0) :=
-  Function.Injective.commRing (of A 0) Dfinsupp.single_injective (of A 0).map_zero (of_zero_one A)
+  Function.Injective.commRing (of A 0) DFinsupp.single_injective (of A 0).map_zero (of_zero_one A)
     (of A 0).map_add (of_zero_mul A) (of A 0).map_neg (of A 0).map_sub
     (fun x n =>
       letI : ∀ i, DistribMulAction ℕ (A i) := fun _ => inferInstance
-      Dfinsupp.single_smul n x)
+      DFinsupp.single_smul n x)
     (fun x n =>
       letI : ∀ i, DistribMulAction ℤ (A i) := fun _ => inferInstance
-      Dfinsupp.single_smul n x)
+      DFinsupp.single_smul n x)
     (fun _ _ => of_zero_pow _ _ _) (ofNatCast A) (ofIntCast A)
 #align direct_sum.grade_zero.comm_ring DirectSum.GradeZero.commRing
 
@@ -638,7 +638,7 @@ theorem toSemiring_coe_addMonoidHom (f : ∀ i, A i →+ R) (hone hmul) :
 #align direct_sum.to_semiring_coe_add_monoid_hom DirectSum.toSemiring_coe_addMonoidHom
 
 /-- Families of `AddMonoidHom`s preserving `DirectSum.One.one` and `DirectSum.Mul.mul`
-are isomorphic to `RingHom`s on `⨁ i, A i`. This is a stronger version of `Dfinsupp.liftAddHom`.
+are isomorphic to `RingHom`s on `⨁ i, A i`. This is a stronger version of `DFinsupp.liftAddHom`.
 -/
 @[simps]
 def liftRingHom :

70fd9563

chore: remove superfluous parentheses in calls to ext (#5258)

Co-authored-by: Xavier Roblot <46200072+xroblot@users.noreply.github.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr> Co-authored-by: Riccardo Brasca <riccardo.brasca@gmail.com> Co-authored-by: Yury G. Kudryashov <urkud@urkud.name> Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com> Co-authored-by: Pol'tta / Miyahara Kō <pol_tta@outlook.jp> Co-authored-by: Jason Yuen <jason_yuen2007@hotmail.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com> Co-authored-by: Jireh Loreaux <loreaujy@gmail.com> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Kyle Miller <kmill31415@gmail.com> Co-authored-by: Heather Macbeth <25316162+hrmacbeth@users.noreply.github.com> Co-authored-by: Jujian Zhang <jujian.zhang1998@outlook.com> Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>

3d6731dc

Diff

@@ -658,7 +658,7 @@ def liftRingHom :
       simp [AddMonoidHom.comp_apply]
       rw [← F.map_mul (of A i ai), of_mul_of ai]⟩
   left_inv f := by
-    ext (xi xv)
+    ext xi xv
     exact toAddMonoid_of (fun _ => f.1) xi xv
   right_inv F := by
     apply RingHom.coe_addMonoidHom_injective

70fd9563

chore: cleanup of some ext porting notes (#5176)

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

6ffd1a5d

Diff

@@ -254,10 +254,7 @@ private theorem mul_assoc (a b c : ⨁ i, A i) : a * b * c = a * (b * c) := by
       simp only [coe_comp, Function.comp_apply, AddMonoidHom.compHom_apply_apply, aux, flip_apply,
         AddMonoidHom.flipHom_apply] at sol
       exact sol
-  -- Porting note: Next three lines used to be a single `ext` which does not work anymore
-  refine DirectSum.addHom_ext' (fun ai ↦ AddMonoidHom.ext (fun ax ↦ ?_))
-  refine DirectSum.addHom_ext' (fun bi ↦ AddMonoidHom.ext (fun bx ↦ ?_))
-  refine DirectSum.addHom_ext' (fun ci ↦ AddMonoidHom.ext (fun cx ↦ ?_))
+  ext ai ax bi bx ci cx
   dsimp only [coe_comp, Function.comp_apply, AddMonoidHom.compHom_apply_apply, flip_apply,
     AddMonoidHom.flipHom_apply]
   simp_rw [mulHom_of_of]

70fd9563

chore: convert lambda in docs to fun (#5045)

Found with git grep -n "λ [a-zA-Z_ ]*,"

1164cf04

Diff

@@ -70,7 +70,7 @@ instances for:
 
 If `CompleteLattice.independent (Set.range A)`, these provide a gradation of `⨆ i, A i`, and the
 mapping `⨁ i, A i →+ ⨆ i, A i` can be obtained as
-`DirectSum.toMonoid (λ i, AddSubmonoid.inclusion $ le_iSup A i)`.
+`DirectSum.toMonoid (fun i ↦ AddSubmonoid.inclusion $ le_iSup A i)`.
 
 ## tags

70fd9563

chore: fix grammar 1/3 (#5001)

All of these are doc fixes

d8caa37d

Diff

@@ -490,7 +490,7 @@ def ofZeroRingHom : A 0 →+* ⨁ i, A i :=
     map_mul' := of_zero_mul A }
 #align direct_sum.of_zero_ring_hom DirectSum.ofZeroRingHom
 
-/-- Each grade `A i` derives a `A 0`-module structure from `GSemiring A`. Note that this results
+/-- Each grade `A i` derives an `A 0`-module structure from `GSemiring A`. Note that this results
 in an overall `Module (A 0) (⨁ i, A i)` structure via `DirectSum.module`.
 -/
 instance GradeZero.module {i} : Module (A 0) (A i) :=

70fd9563

chore: fix many typos (#4983)

These are all doc fixes

54b72114

Diff

@@ -66,7 +66,7 @@ instances for:
 * `A : ι → Subgroup S`:
   `DirectSum.GSemiring.ofAddSubgroups`, `DirectSum.GCommSemiring.ofAddSubgroups`.
 * `A : ι → Submodule S`:
-  `DirectSum.GSemiring.ofSubmodules`, `DirectSum.GcommSemiring.ofSubmodules`.
+  `DirectSum.GSemiring.ofSubmodules`, `DirectSum.GCommSemiring.ofSubmodules`.
 
 If `CompleteLattice.independent (Set.range A)`, these provide a gradation of `⨆ i, A i`, and the
 mapping `⨁ i, A i →+ ⨆ i, A i` can be obtained as

70fd9563

chore: fix many typos (#4967)

These are all doc fixes

6f9e51c3

Diff

@@ -19,7 +19,7 @@ over `⨁ i, A i` such that `(*) : A i → A j → A (i + j)`; that is to say, `
 additively-graded ring. The typeclasses are:
 
 * `DirectSum.GNonUnitalNonAssocSemiring A`
-* `DirectSsum.GSemiring A`
+* `DirectSum.GSemiring A`
 * `DirectSum.GRing A`
 * `DirectSum.GCommSemiring A`
 * `DirectSum.GCommRing A`
@@ -62,7 +62,7 @@ Additionally, this module provides helper functions to construct `GSemiring` and
 instances for:
 
 * `A : ι → Submonoid S`:
-  `DirectSum.GSemiring.ofAddAubmonoids`, `DirectSum.GCommSemiring.ofAddSubmonoids`.
+  `DirectSum.GSemiring.ofAddSubmonoids`, `DirectSum.GCommSemiring.ofAddSubmonoids`.
 * `A : ι → Subgroup S`:
   `DirectSum.GSemiring.ofAddSubgroups`, `DirectSum.GCommSemiring.ofAddSubgroups`.
 * `A : ι → Submodule S`:

70fd9563

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

e2b5ca37

Diff

@@ -705,7 +705,7 @@ open DirectSum
 
 -- To check `Mul.gmul_mul` matches
 example {R : Type _} [AddMonoid ι] [Semiring R] (i j : ι) (a b : R) :
-    (DirectSum.of _ i a * DirectSum.of _ j b : ⨁ _i, R) = DirectSum.of _ (i + j) (a * b) := by
+    (DirectSum.of _ i a * DirectSum.of _ j b : ⨁ _, R) = DirectSum.of _ (i + j) (a * b) := by
   rw [DirectSum.of_mul_of, Mul.gMul_mul]
 
 /-- A direct sum of copies of a `CommSemiring` inherits the commutative multiplication structure.

70fd9563

refactor: use the typeclass SProd to implement overloaded notation · ×ˢ · (#4200)

Currently, the following notations are changed from · ×ˢ · because Lean 4 can't deal with ambiguous notations. | Definition | Notation | | :

Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com> Co-authored-by: Kyle Miller <kmill31415@gmail.com> Co-authored-by: Chris Hughes <chrishughes24@gmail.com>

6c01dc6e

Diff

@@ -329,7 +329,7 @@ theorem mul_eq_dfinsupp_sum [∀ (i : ι) (x : A i), Decidable (x ≠ 0)] (a a'
 /-- A heavily unfolded version of the definition of multiplication -/
 theorem mul_eq_sum_support_ghas_mul [∀ (i : ι) (x : A i), Decidable (x ≠ 0)] (a a' : ⨁ i, A i) :
     a * a' =
-      ∑ ij in Dfinsupp.support a ×ᶠ Dfinsupp.support a',
+      ∑ ij in Dfinsupp.support a ×ˢ Dfinsupp.support a',
         DirectSum.of _ _ (GradedMonoid.GMul.mul (a ij.fst) (a' ij.snd)) :=
   by simp only [mul_eq_dfinsupp_sum, Dfinsupp.sum, Finset.sum_product]
 #align direct_sum.mul_eq_sum_support_ghas_mul DirectSum.mul_eq_sum_support_ghas_mul
@@ -716,4 +716,3 @@ instance CommSemiring.directSumGCommSemiring {R : Type _} [AddCommMonoid ι] [Co
 #align comm_semiring.direct_sum_gcomm_semiring CommSemiring.directSumGCommSemiring
 
 end Uniform
-

70fd9563

chore: fix upper/lowercase in comments (#4360)

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

27d257fc

Diff

@@ -70,7 +70,7 @@ instances for:
 
 If `CompleteLattice.independent (Set.range A)`, these provide a gradation of `⨆ i, A i`, and the
 mapping `⨁ i, A i →+ ⨆ i, A i` can be obtained as
-`DirectSum.toMonoid (λ i, AddSubmonoid.inclusion $ le_supr A i)`.
+`DirectSum.toMonoid (λ i, AddSubmonoid.inclusion $ le_iSup A i)`.
 
 ## tags
 
@@ -171,7 +171,7 @@ variable [Add ι] [∀ i, AddCommMonoid (A i)] [GNonUnitalNonAssocSemiring A]
 
 open AddMonoidHom (flip_apply coe_comp compHom)
 
-/-- The piecewise multiplication from the `has_mul` instance, as a bundled homomorphism. -/
+/-- The piecewise multiplication from the `Mul` instance, as a bundled homomorphism. -/
 @[simps]
 def gMulHom {i j} : A i →+ A j →+ A (i + j) where
   toFun a :=

70fd9563

feat: port Algebra.DirectSum.Ring (#1968)

Co-authored-by: int-y1 <jason_yuen2007@hotmail.com> Co-authored-by: Lukas Miaskiwskyi <lukas.mias@gmail.com> Co-authored-by: Oliver Nash <github@olivernash.org> Co-authored-by: Matthew Ballard <matt@mrb.email>

4e3c1517

`algebra.direct_sum.ring` ⟷ `Mathlib.Algebra.DirectSum.Ring`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 286

algebra.direct_sum.ring ⟷ Mathlib.Algebra.DirectSum.Ring

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 286

`algebra.direct_sum.ring` ⟷ `Mathlib.Algebra.DirectSum.Ring`