algebra.category.Group.filtered_colimits

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

c43486ec

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

a87d2257

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2021 Justus Springer. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Justus Springer
 -/
-import Algebra.Category.Group.Basic
-import Algebra.Category.Mon.FilteredColimits
+import Algebra.Category.GroupCat.Basic
+import Algebra.Category.MonCat.FilteredColimits
 
 #align_import algebra.category.Group.filtered_colimits from "leanprover-community/mathlib"@"a87d22575d946e1e156fc1edd1e1269600a8a282"

a87d2257

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 Justus Springer. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Justus Springer
 -/
-import Mathbin.Algebra.Category.Group.Basic
-import Mathbin.Algebra.Category.Mon.FilteredColimits
+import Algebra.Category.Group.Basic
+import Algebra.Category.Mon.FilteredColimits
 
 #align_import algebra.category.Group.filtered_colimits from "leanprover-community/mathlib"@"a87d22575d946e1e156fc1edd1e1269600a8a282"

a87d2257

bump to nightly-2023-08-17-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504

60285dcc

Diff

@@ -129,7 +129,7 @@ theorem colimit_inv_mk_eq (x : Σ j, F.obj j) : (G.mk x)⁻¹ = G.mk ⟨x.1, x.2
 @[to_additive]
 instance colimitGroup : Group G :=
   { G.Monoid, colimit_has_inv with
-    mul_left_inv := fun x => by
+    hMul_left_inv := fun x => by
       apply Quot.inductionOn x; clear x; intro x
       cases' x with j x
       erw [colimit_inv_mk_eq,

a87d2257

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 Justus Springer. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Justus Springer
-
-! This file was ported from Lean 3 source module algebra.category.Group.filtered_colimits
-! leanprover-community/mathlib commit a87d22575d946e1e156fc1edd1e1269600a8a282
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Category.Group.Basic
 import Mathbin.Algebra.Category.Mon.FilteredColimits
 
+#align_import algebra.category.Group.filtered_colimits from "leanprover-community/mathlib"@"a87d22575d946e1e156fc1edd1e1269600a8a282"
+
 /-!
 # The forgetful functor from (commutative) (additive) groups preserves filtered colimits.

a87d2257

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -64,27 +64,34 @@ abbrev G : MonCat :=
 #align AddGroup.filtered_colimits.G AddGroupCat.FilteredColimits.G
 -/
 
+#print GroupCat.FilteredColimits.G.mk /-
 /-- The canonical projection into the colimit, as a quotient type. -/
 @[to_additive "The canonical projection into the colimit, as a quotient type."]
 abbrev G.mk : (Σ j, F.obj j) → G :=
   Quot.mk (Types.Quot.Rel (F ⋙ forget GroupCat))
 #align Group.filtered_colimits.G.mk GroupCat.FilteredColimits.G.mk
 #align AddGroup.filtered_colimits.G.mk AddGroupCat.FilteredColimits.G.mk
+-/
 
+#print GroupCat.FilteredColimits.G.mk_eq /-
 @[to_additive]
 theorem G.mk_eq (x y : Σ j, F.obj j)
     (h : ∃ (k : J) (f : x.1 ⟶ k) (g : y.1 ⟶ k), F.map f x.2 = F.map g y.2) : G.mk x = G.mk y :=
   Quot.EqvGen_sound (Types.FilteredColimit.eqvGen_quot_rel_of_rel (F ⋙ forget GroupCat) x y h)
 #align Group.filtered_colimits.G.mk_eq GroupCat.FilteredColimits.G.mk_eq
 #align AddGroup.filtered_colimits.G.mk_eq AddGroupCat.FilteredColimits.G.mk_eq
+-/
 
+#print GroupCat.FilteredColimits.colimitInvAux /-
 /-- The "unlifted" version of taking inverses in the colimit. -/
 @[to_additive "The \"unlifted\" version of negation in the colimit."]
 def colimitInvAux (x : Σ j, F.obj j) : G :=
   G.mk ⟨x.1, x.2⁻¹⟩
 #align Group.filtered_colimits.colimit_inv_aux GroupCat.FilteredColimits.colimitInvAux
 #align AddGroup.filtered_colimits.colimit_neg_aux AddGroupCat.FilteredColimits.colimitNegAux
+-/
 
+#print GroupCat.FilteredColimits.colimitInvAux_eq_of_rel /-
 @[to_additive]
 theorem colimitInvAux_eq_of_rel (x y : Σ j, F.obj j)
     (h : Types.FilteredColimit.Rel (F ⋙ forget GroupCat) x y) :
@@ -97,6 +104,7 @@ theorem colimitInvAux_eq_of_rel (x y : Σ j, F.obj j)
   exact hfg
 #align Group.filtered_colimits.colimit_inv_aux_eq_of_rel GroupCat.FilteredColimits.colimitInvAux_eq_of_rel
 #align AddGroup.filtered_colimits.colimit_neg_aux_eq_of_rel AddGroupCat.FilteredColimits.colimitNegAux_eq_of_rel
+-/
 
 #print GroupCat.FilteredColimits.colimitInv /-
 /-- Taking inverses in the colimit. See also `colimit_inv_aux`. -/
@@ -112,11 +120,13 @@ instance colimitInv : Inv G
 #align AddGroup.filtered_colimits.colimit_has_neg AddGroupCat.FilteredColimits.colimitNeg
 -/
 
+#print GroupCat.FilteredColimits.colimit_inv_mk_eq /-
 @[simp, to_additive]
 theorem colimit_inv_mk_eq (x : Σ j, F.obj j) : (G.mk x)⁻¹ = G.mk ⟨x.1, x.2⁻¹⟩ :=
   rfl
 #align Group.filtered_colimits.colimit_inv_mk_eq GroupCat.FilteredColimits.colimit_inv_mk_eq
 #align AddGroup.filtered_colimits.colimit_neg_mk_eq AddGroupCat.FilteredColimits.colimit_neg_mk_eq
+-/
 
 #print GroupCat.FilteredColimits.colimitGroup /-
 @[to_additive]

a87d2257

bump to nightly-2023-06-04-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297

3fb4268b

Diff

@@ -50,7 +50,7 @@ open MonCat.FilteredColimits (colimit_one_eq colimit_mul_mk_eq)
 
 -- We use parameters here, mainly so we can have the abbreviations `G` and `G.mk` below, without
 -- passing around `F` all the time.
-parameter {J : Type v}[SmallCategory J][IsFiltered J](F : J ⥤ GroupCat.{max v u})
+parameter {J : Type v} [SmallCategory J] [IsFiltered J] (F : J ⥤ GroupCat.{max v u})
 
 #print GroupCat.FilteredColimits.G /-
 /-- The colimit of `F ⋙ forget₂ Group Mon` in the category `Mon`.
@@ -203,7 +203,7 @@ section
 
 -- We use parameters here, mainly so we can have the abbreviation `G` below, without
 -- passing around `F` all the time.
-parameter {J : Type v}[SmallCategory J][IsFiltered J](F : J ⥤ CommGroupCat.{max v u})
+parameter {J : Type v} [SmallCategory J] [IsFiltered J] (F : J ⥤ CommGroupCat.{max v u})
 
 #print CommGroupCat.FilteredColimits.G /-
 /-- The colimit of `F ⋙ forget₂ CommGroup Group` in the category `Group`.

a87d2257

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -66,27 +66,27 @@ abbrev G : MonCat :=
 
 /-- The canonical projection into the colimit, as a quotient type. -/
 @[to_additive "The canonical projection into the colimit, as a quotient type."]
-abbrev G.mk : (Σj, F.obj j) → G :=
+abbrev G.mk : (Σ j, F.obj j) → G :=
   Quot.mk (Types.Quot.Rel (F ⋙ forget GroupCat))
 #align Group.filtered_colimits.G.mk GroupCat.FilteredColimits.G.mk
 #align AddGroup.filtered_colimits.G.mk AddGroupCat.FilteredColimits.G.mk
 
 @[to_additive]
-theorem G.mk_eq (x y : Σj, F.obj j)
-    (h : ∃ (k : J)(f : x.1 ⟶ k)(g : y.1 ⟶ k), F.map f x.2 = F.map g y.2) : G.mk x = G.mk y :=
+theorem G.mk_eq (x y : Σ j, F.obj j)
+    (h : ∃ (k : J) (f : x.1 ⟶ k) (g : y.1 ⟶ k), F.map f x.2 = F.map g y.2) : G.mk x = G.mk y :=
   Quot.EqvGen_sound (Types.FilteredColimit.eqvGen_quot_rel_of_rel (F ⋙ forget GroupCat) x y h)
 #align Group.filtered_colimits.G.mk_eq GroupCat.FilteredColimits.G.mk_eq
 #align AddGroup.filtered_colimits.G.mk_eq AddGroupCat.FilteredColimits.G.mk_eq
 
 /-- The "unlifted" version of taking inverses in the colimit. -/
 @[to_additive "The \"unlifted\" version of negation in the colimit."]
-def colimitInvAux (x : Σj, F.obj j) : G :=
+def colimitInvAux (x : Σ j, F.obj j) : G :=
   G.mk ⟨x.1, x.2⁻¹⟩
 #align Group.filtered_colimits.colimit_inv_aux GroupCat.FilteredColimits.colimitInvAux
 #align AddGroup.filtered_colimits.colimit_neg_aux AddGroupCat.FilteredColimits.colimitNegAux
 
 @[to_additive]
-theorem colimitInvAux_eq_of_rel (x y : Σj, F.obj j)
+theorem colimitInvAux_eq_of_rel (x y : Σ j, F.obj j)
     (h : Types.FilteredColimit.Rel (F ⋙ forget GroupCat) x y) :
     colimit_inv_aux x = colimit_inv_aux y :=
   by
@@ -113,7 +113,7 @@ instance colimitInv : Inv G
 -/
 
 @[simp, to_additive]
-theorem colimit_inv_mk_eq (x : Σj, F.obj j) : (G.mk x)⁻¹ = G.mk ⟨x.1, x.2⁻¹⟩ :=
+theorem colimit_inv_mk_eq (x : Σ j, F.obj j) : (G.mk x)⁻¹ = G.mk ⟨x.1, x.2⁻¹⟩ :=
   rfl
 #align Group.filtered_colimits.colimit_inv_mk_eq GroupCat.FilteredColimits.colimit_inv_mk_eq
 #align AddGroup.filtered_colimits.colimit_neg_mk_eq AddGroupCat.FilteredColimits.colimit_neg_mk_eq

a87d2257

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -33,7 +33,7 @@ universe v u
 
 noncomputable section
 
-open Classical
+open scoped Classical
 
 open CategoryTheory

a87d2257

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -64,12 +64,6 @@ abbrev G : MonCat :=
 #align AddGroup.filtered_colimits.G AddGroupCat.FilteredColimits.G
 -/
 
-/- warning: Group.filtered_colimits.G.mk -> GroupCat.FilteredColimits.G.mk is a dubious translation:
-lean 3 declaration is
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] [_inst_2 : CategoryTheory.IsFiltered.{u1, u1} J _inst_1] (F : CategoryTheory.Functor.{u1, max u1 u2, u1, succ (max u1 u2)} J _inst_1 GroupCat.{max u1 u2} GroupCat.largeCategory.{max u1 u2}), (Sigma.{u1, max u1 u2} J (fun (j : J) => coeSort.{succ (succ (max u1 u2)), succ (succ (max u1 u2))} GroupCat.{max u1 u2} Type.{max u1 u2} GroupCat.hasCoeToSort.{max u1 u2} (CategoryTheory.Functor.obj.{u1, max u1 u2, u1, succ (max u1 u2)} J _inst_1 GroupCat.{max u1 u2} GroupCat.largeCategory.{max u1 u2} F j))) -> (coeSort.{succ (succ (max u1 u2)), succ (succ (max u1 u2))} MonCat.{max u1 u2} Type.{max u1 u2} MonCat.hasCoeToSort.{max u1 u2} (GroupCat.FilteredColimits.G.{u1, u2} J _inst_1 _inst_2 F))
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align Group.filtered_colimits.G.mk GroupCat.FilteredColimits.G.mkₓ'. -/
 /-- The canonical projection into the colimit, as a quotient type. -/
 @[to_additive "The canonical projection into the colimit, as a quotient type."]
 abbrev G.mk : (Σj, F.obj j) → G :=
@@ -77,9 +71,6 @@ abbrev G.mk : (Σj, F.obj j) → G :=
 #align Group.filtered_colimits.G.mk GroupCat.FilteredColimits.G.mk
 #align AddGroup.filtered_colimits.G.mk AddGroupCat.FilteredColimits.G.mk
 
-/- warning: Group.filtered_colimits.G.mk_eq -> GroupCat.FilteredColimits.G.mk_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Group.filtered_colimits.G.mk_eq GroupCat.FilteredColimits.G.mk_eqₓ'. -/
 @[to_additive]
 theorem G.mk_eq (x y : Σj, F.obj j)
     (h : ∃ (k : J)(f : x.1 ⟶ k)(g : y.1 ⟶ k), F.map f x.2 = F.map g y.2) : G.mk x = G.mk y :=
@@ -87,12 +78,6 @@ theorem G.mk_eq (x y : Σj, F.obj j)
 #align Group.filtered_colimits.G.mk_eq GroupCat.FilteredColimits.G.mk_eq
 #align AddGroup.filtered_colimits.G.mk_eq AddGroupCat.FilteredColimits.G.mk_eq
 
-/- warning: Group.filtered_colimits.colimit_inv_aux -> GroupCat.FilteredColimits.colimitInvAux is a dubious translation:
-lean 3 declaration is
-  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] [_inst_2 : CategoryTheory.IsFiltered.{u1, u1} J _inst_1] (F : CategoryTheory.Functor.{u1, max u1 u2, u1, succ (max u1 u2)} J _inst_1 GroupCat.{max u1 u2} GroupCat.largeCategory.{max u1 u2}), (Sigma.{u1, max u1 u2} J (fun (j : J) => coeSort.{succ (succ (max u1 u2)), succ (succ (max u1 u2))} GroupCat.{max u1 u2} Type.{max u1 u2} GroupCat.hasCoeToSort.{max u1 u2} (CategoryTheory.Functor.obj.{u1, max u1 u2, u1, succ (max u1 u2)} J _inst_1 GroupCat.{max u1 u2} GroupCat.largeCategory.{max u1 u2} F j))) -> (coeSort.{succ (succ (max u1 u2)), succ (succ (max u1 u2))} MonCat.{max u1 u2} Type.{max u1 u2} MonCat.hasCoeToSort.{max u1 u2} (GroupCat.FilteredColimits.G.{u1, u2} J _inst_1 _inst_2 F))
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align Group.filtered_colimits.colimit_inv_aux GroupCat.FilteredColimits.colimitInvAuxₓ'. -/
 /-- The "unlifted" version of taking inverses in the colimit. -/
 @[to_additive "The \"unlifted\" version of negation in the colimit."]
 def colimitInvAux (x : Σj, F.obj j) : G :=
@@ -100,12 +85,6 @@ def colimitInvAux (x : Σj, F.obj j) : G :=
 #align Group.filtered_colimits.colimit_inv_aux GroupCat.FilteredColimits.colimitInvAux
 #align AddGroup.filtered_colimits.colimit_neg_aux AddGroupCat.FilteredColimits.colimitNegAux
 
-/- warning: Group.filtered_colimits.colimit_inv_aux_eq_of_rel -> GroupCat.FilteredColimits.colimitInvAux_eq_of_rel is a dubious translation:
-lean 3 declaration is
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 @[to_additive]
 theorem colimitInvAux_eq_of_rel (x y : Σj, F.obj j)
     (h : Types.FilteredColimit.Rel (F ⋙ forget GroupCat) x y) :
@@ -133,9 +112,6 @@ instance colimitInv : Inv G
 #align AddGroup.filtered_colimits.colimit_has_neg AddGroupCat.FilteredColimits.colimitNeg
 -/
 
-/- warning: Group.filtered_colimits.colimit_inv_mk_eq -> GroupCat.FilteredColimits.colimit_inv_mk_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align Group.filtered_colimits.colimit_inv_mk_eq GroupCat.FilteredColimits.colimit_inv_mk_eqₓ'. -/
 @[simp, to_additive]
 theorem colimit_inv_mk_eq (x : Σj, F.obj j) : (G.mk x)⁻¹ = G.mk ⟨x.1, x.2⁻¹⟩ :=
   rfl

a87d2257

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -78,10 +78,7 @@ abbrev G.mk : (Σj, F.obj j) → G :=
 #align AddGroup.filtered_colimits.G.mk AddGroupCat.FilteredColimits.G.mk
 
 /- warning: Group.filtered_colimits.G.mk_eq -> GroupCat.FilteredColimits.G.mk_eq is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align Group.filtered_colimits.G.mk_eq GroupCat.FilteredColimits.G.mk_eqₓ'. -/
 @[to_additive]
 theorem G.mk_eq (x y : Σj, F.obj j)
@@ -137,10 +134,7 @@ instance colimitInv : Inv G
 -/
 
 /- warning: Group.filtered_colimits.colimit_inv_mk_eq -> GroupCat.FilteredColimits.colimit_inv_mk_eq is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align Group.filtered_colimits.colimit_inv_mk_eq GroupCat.FilteredColimits.colimit_inv_mk_eqₓ'. -/
 @[simp, to_additive]
 theorem colimit_inv_mk_eq (x : Σj, F.obj j) : (G.mk x)⁻¹ = G.mk ⟨x.1, x.2⁻¹⟩ :=

a87d2257

bump to nightly-2023-05-26-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/e1a18cad9cd462973d760af7de36b05776b8811c

d59ee359

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Justus Springer
 
 ! This file was ported from Lean 3 source module algebra.category.Group.filtered_colimits
-! leanprover-community/mathlib commit c43486ecf2a5a17479a32ce09e4818924145e90e
+! leanprover-community/mathlib commit a87d22575d946e1e156fc1edd1e1269600a8a282
 ! 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.Category.Mon.FilteredColimits
 /-!
 # The forgetful functor from (commutative) (additive) groups preserves filtered colimits.
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Forgetful functors from algebraic categories usually don't preserve colimits. However, they tend
 to preserve _filtered_ colimits.

c43486ec

bump to nightly-2023-05-24-12

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

2a3e3db2

Diff

@@ -49,30 +49,50 @@ open MonCat.FilteredColimits (colimit_one_eq colimit_mul_mk_eq)
 -- passing around `F` all the time.
 parameter {J : Type v}[SmallCategory J][IsFiltered J](F : J ⥤ GroupCat.{max v u})
 
+#print GroupCat.FilteredColimits.G /-
 /-- The colimit of `F ⋙ forget₂ Group Mon` in the category `Mon`.
 In the following, we will show that this has the structure of a group.
 -/
 @[to_additive
       "The colimit of `F ⋙ forget₂ AddGroup AddMon` in the category `AddMon`.\nIn the following, we will show that this has the structure of an additive group."]
-abbrev g : MonCat :=
+abbrev G : MonCat :=
   MonCat.FilteredColimits.colimit (F ⋙ forget₂ GroupCat MonCat.{max v u})
-#align Group.filtered_colimits.G GroupCat.FilteredColimits.g
-#align AddGroup.filtered_colimits.G AddGroupCat.FilteredColimits.g
+#align Group.filtered_colimits.G GroupCat.FilteredColimits.G
+#align AddGroup.filtered_colimits.G AddGroupCat.FilteredColimits.G
+-/
 
+/- warning: Group.filtered_colimits.G.mk -> GroupCat.FilteredColimits.G.mk is a dubious translation:
+lean 3 declaration is
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] [_inst_2 : CategoryTheory.IsFiltered.{u1, u1} J _inst_1] (F : CategoryTheory.Functor.{u1, max u1 u2, u1, succ (max u1 u2)} J _inst_1 GroupCat.{max u1 u2} GroupCat.largeCategory.{max u1 u2}), (Sigma.{u1, max u1 u2} J (fun (j : J) => coeSort.{succ (succ (max u1 u2)), succ (succ (max u1 u2))} GroupCat.{max u1 u2} Type.{max u1 u2} GroupCat.hasCoeToSort.{max u1 u2} (CategoryTheory.Functor.obj.{u1, max u1 u2, u1, succ (max u1 u2)} J _inst_1 GroupCat.{max u1 u2} GroupCat.largeCategory.{max u1 u2} F j))) -> (coeSort.{succ (succ (max u1 u2)), succ (succ (max u1 u2))} MonCat.{max u1 u2} Type.{max u1 u2} MonCat.hasCoeToSort.{max u1 u2} (GroupCat.FilteredColimits.G.{u1, u2} J _inst_1 _inst_2 F))
+but is expected to have type
+  forall {J : Type.{u1}} [_inst_1 : CategoryTheory.SmallCategory.{u1} J] [_inst_2 : CategoryTheory.IsFiltered.{u1, u1} J _inst_1] (F : CategoryTheory.Functor.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 GroupCat.{max u1 u2} instGroupCatLargeCategory.{max u2 u1}), (Sigma.{u1, max u2 u1} J (fun (j : J) => CategoryTheory.Bundled.α.{max u2 u1, max u2 u1} Group.{max u2 u1} (Prefunctor.obj.{succ u1, max (succ u2) (succ u1), u1, max (succ u2) (succ u1)} J (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} J (CategoryTheory.Category.toCategoryStruct.{u1, u1} J _inst_1)) GroupCat.{max u1 u2} (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max (succ u2) (succ u1)} GroupCat.{max u1 u2} (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max (succ u2) (succ u1)} GroupCat.{max u1 u2} instGroupCatLargeCategory.{max u2 u1})) (CategoryTheory.Functor.toPrefunctor.{u1, max u2 u1, u1, max (succ u2) (succ u1)} J _inst_1 GroupCat.{max u1 u2} instGroupCatLargeCategory.{max u2 u1} F) j))) -> (CategoryTheory.Bundled.α.{max u2 u1, max u2 u1} Monoid.{max u2 u1} (GroupCat.FilteredColimits.G.{u1, u2} J _inst_1 _inst_2 F))
+Case conversion may be inaccurate. Consider using '#align Group.filtered_colimits.G.mk GroupCat.FilteredColimits.G.mkₓ'. -/
 /-- The canonical projection into the colimit, as a quotient type. -/
 @[to_additive "The canonical projection into the colimit, as a quotient type."]
-abbrev g.mk : (Σj, F.obj j) → G :=
+abbrev G.mk : (Σj, F.obj j) → G :=
   Quot.mk (Types.Quot.Rel (F ⋙ forget GroupCat))
-#align Group.filtered_colimits.G.mk GroupCat.FilteredColimits.g.mk
-#align AddGroup.filtered_colimits.G.mk AddGroupCat.FilteredColimits.g.mk
-
+#align Group.filtered_colimits.G.mk GroupCat.FilteredColimits.G.mk
+#align AddGroup.filtered_colimits.G.mk AddGroupCat.FilteredColimits.G.mk
+
+/- warning: Group.filtered_colimits.G.mk_eq -> GroupCat.FilteredColimits.G.mk_eq is a dubious translation:
+lean 3 declaration is
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_inst_1 GroupCat.{max u1 u2} GroupCat.largeCategory.{max u1 u2} F k))))) (CategoryTheory.Functor.map.{u1, max u1 u2, u1, succ (max u1 u2)} J _inst_1 GroupCat.{max u1 u2} GroupCat.largeCategory.{max u1 u2} F (Sigma.fst.{u1, max u1 u2} J (fun (j : J) => coeSort.{succ (succ (max u1 u2)), succ (succ (max u1 u2))} GroupCat.{max u1 u2} Type.{max u1 u2} GroupCat.hasCoeToSort.{max u1 u2} (CategoryTheory.Functor.obj.{u1, max u1 u2, u1, succ (max u1 u2)} J _inst_1 GroupCat.{max u1 u2} GroupCat.largeCategory.{max u1 u2} F j)) y) k g) (Sigma.snd.{u1, max u1 u2} J (fun (j : J) => coeSort.{succ (succ (max u1 u2)), succ (succ (max u1 u2))} GroupCat.{max u1 u2} Type.{max u1 u2} GroupCat.hasCoeToSort.{max u1 u2} (CategoryTheory.Functor.obj.{u1, max u1 u2, u1, succ (max u1 u2)} J _inst_1 GroupCat.{max u1 u2} GroupCat.largeCategory.{max u1 u2} F j)) y)))))) -> (Eq.{succ (max u1 u2)} (coeSort.{succ (succ (max u1 u2)), succ (succ (max u1 u2))} MonCat.{max u1 u2} Type.{max u1 u2} MonCat.hasCoeToSort.{max u1 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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align Group.filtered_colimits.G.mk_eq GroupCat.FilteredColimits.G.mk_eqₓ'. -/
 @[to_additive]
-theorem g.mk_eq (x y : Σj, F.obj j)
+theorem G.mk_eq (x y : Σj, F.obj j)
     (h : ∃ (k : J)(f : x.1 ⟶ k)(g : y.1 ⟶ k), F.map f x.2 = F.map g y.2) : G.mk x = G.mk y :=
   Quot.EqvGen_sound (Types.FilteredColimit.eqvGen_quot_rel_of_rel (F ⋙ forget GroupCat) x y h)
-#align Group.filtered_colimits.G.mk_eq GroupCat.FilteredColimits.g.mk_eq
-#align AddGroup.filtered_colimits.G.mk_eq AddGroupCat.FilteredColimits.g.mk_eq
-
+#align Group.filtered_colimits.G.mk_eq GroupCat.FilteredColimits.G.mk_eq
+#align AddGroup.filtered_colimits.G.mk_eq AddGroupCat.FilteredColimits.G.mk_eq
+
+/- warning: Group.filtered_colimits.colimit_inv_aux -> GroupCat.FilteredColimits.colimitInvAux is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align Group.filtered_colimits.colimit_inv_aux GroupCat.FilteredColimits.colimitInvAuxₓ'. -/
 /-- The "unlifted" version of taking inverses in the colimit. -/
 @[to_additive "The \"unlifted\" version of negation in the colimit."]
 def colimitInvAux (x : Σj, F.obj j) : G :=
@@ -80,6 +100,12 @@ def colimitInvAux (x : Σj, F.obj j) : G :=
 #align Group.filtered_colimits.colimit_inv_aux GroupCat.FilteredColimits.colimitInvAux
 #align AddGroup.filtered_colimits.colimit_neg_aux AddGroupCat.FilteredColimits.colimitNegAux
 
+/- warning: Group.filtered_colimits.colimit_inv_aux_eq_of_rel -> GroupCat.FilteredColimits.colimitInvAux_eq_of_rel is a dubious translation:
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 @[to_additive]
 theorem colimitInvAux_eq_of_rel (x y : Σj, F.obj j)
     (h : Types.FilteredColimit.Rel (F ⋙ forget GroupCat) x y) :
@@ -91,26 +117,35 @@ theorem colimitInvAux_eq_of_rel (x y : Σj, F.obj j)
   rw [MonoidHom.map_inv, MonoidHom.map_inv, inv_inj]
   exact hfg
 #align Group.filtered_colimits.colimit_inv_aux_eq_of_rel GroupCat.FilteredColimits.colimitInvAux_eq_of_rel
-#align AddGroup.filtered_colimits.colimit_neg_aux_eq_of_rel AddGroupCat.FilteredColimits.colimit_neg_aux_eq_of_rel
+#align AddGroup.filtered_colimits.colimit_neg_aux_eq_of_rel AddGroupCat.FilteredColimits.colimitNegAux_eq_of_rel
 
+#print GroupCat.FilteredColimits.colimitInv /-
 /-- Taking inverses in the colimit. See also `colimit_inv_aux`. -/
 @[to_additive "Negation in the colimit. See also `colimit_neg_aux`."]
-instance colimitHasInv : Inv G
+instance colimitInv : Inv G
     where inv x := by
     refine' Quot.lift (colimit_inv_aux F) _ x
     intro x y h
     apply colimit_inv_aux_eq_of_rel
     apply types.filtered_colimit.rel_of_quot_rel
     exact h
-#align Group.filtered_colimits.colimit_has_inv GroupCat.FilteredColimits.colimitHasInv
-#align AddGroup.filtered_colimits.colimit_has_neg AddGroupCat.FilteredColimits.colimitHasNeg
+#align Group.filtered_colimits.colimit_has_inv GroupCat.FilteredColimits.colimitInv
+#align AddGroup.filtered_colimits.colimit_has_neg AddGroupCat.FilteredColimits.colimitNeg
+-/
 
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+Case conversion may be inaccurate. Consider using '#align Group.filtered_colimits.colimit_inv_mk_eq GroupCat.FilteredColimits.colimit_inv_mk_eqₓ'. -/
 @[simp, to_additive]
 theorem colimit_inv_mk_eq (x : Σj, F.obj j) : (G.mk x)⁻¹ = G.mk ⟨x.1, x.2⁻¹⟩ :=
   rfl
 #align Group.filtered_colimits.colimit_inv_mk_eq GroupCat.FilteredColimits.colimit_inv_mk_eq
 #align AddGroup.filtered_colimits.colimit_neg_mk_eq AddGroupCat.FilteredColimits.colimit_neg_mk_eq
 
+#print GroupCat.FilteredColimits.colimitGroup /-
 @[to_additive]
 instance colimitGroup : Group G :=
   { G.Monoid, colimit_has_inv with
@@ -124,14 +159,18 @@ instance colimitGroup : Group G :=
       simp only [CategoryTheory.Functor.map_id, id_apply, mul_left_inv] }
 #align Group.filtered_colimits.colimit_group GroupCat.FilteredColimits.colimitGroup
 #align AddGroup.filtered_colimits.colimit_add_group AddGroupCat.FilteredColimits.colimitAddGroup
+-/
 
+#print GroupCat.FilteredColimits.colimit /-
 /-- The bundled group giving the filtered colimit of a diagram. -/
 @[to_additive "The bundled additive group giving the filtered colimit of a diagram."]
 def colimit : GroupCat :=
   GroupCat.of G
 #align Group.filtered_colimits.colimit GroupCat.FilteredColimits.colimit
 #align AddGroup.filtered_colimits.colimit AddGroupCat.FilteredColimits.colimit
+-/
 
+#print GroupCat.FilteredColimits.colimitCocone /-
 /-- The cocone over the proposed colimit group. -/
 @[to_additive "The cocone over the proposed colimit additive group."]
 def colimitCocone : cocone F where
@@ -139,7 +178,9 @@ def colimitCocone : cocone F where
   ι := { (MonCat.FilteredColimits.colimitCocone (F ⋙ forget₂ GroupCat MonCat.{max v u})).ι with }
 #align Group.filtered_colimits.colimit_cocone GroupCat.FilteredColimits.colimitCocone
 #align AddGroup.filtered_colimits.colimit_cocone AddGroupCat.FilteredColimits.colimitCocone
+-/
 
+#print GroupCat.FilteredColimits.colimitCoconeIsColimit /-
 /-- The proposed colimit cocone is a colimit in `Group`. -/
 @[to_additive "The proposed colimit cocone is a colimit in `AddGroup`."]
 def colimitCoconeIsColimit : IsColimit colimit_cocone
@@ -156,7 +197,9 @@ def colimitCoconeIsColimit : IsColimit colimit_cocone
         fun j => funext fun x => MonoidHom.congr_fun (h j) x
 #align Group.filtered_colimits.colimit_cocone_is_colimit GroupCat.FilteredColimits.colimitCoconeIsColimit
 #align AddGroup.filtered_colimits.colimit_cocone_is_colimit AddGroupCat.FilteredColimits.colimitCoconeIsColimit
+-/
 
+#print GroupCat.FilteredColimits.forget₂MonPreservesFilteredColimits /-
 @[to_additive forget₂_AddMon_preserves_filtered_colimits]
 instance forget₂MonPreservesFilteredColimits :
     PreservesFilteredColimits (forget₂ GroupCat MonCat.{u})
@@ -167,12 +210,15 @@ instance forget₂MonPreservesFilteredColimits :
           (MonCat.FilteredColimits.colimitCoconeIsColimit (F ⋙ forget₂ GroupCat MonCat.{u})) }
 #align Group.filtered_colimits.forget₂_Mon_preserves_filtered_colimits GroupCat.FilteredColimits.forget₂MonPreservesFilteredColimits
 #align AddGroup.filtered_colimits.forget₂_AddMon_preserves_filtered_colimits AddGroupCat.FilteredColimits.forget₂AddMonPreservesFilteredColimits
+-/
 
+#print GroupCat.FilteredColimits.forgetPreservesFilteredColimits /-
 @[to_additive]
 instance forgetPreservesFilteredColimits : PreservesFilteredColimits (forget GroupCat.{u}) :=
   Limits.compPreservesFilteredColimits (forget₂ GroupCat MonCat) (forget MonCat.{u})
 #align Group.filtered_colimits.forget_preserves_filtered_colimits GroupCat.FilteredColimits.forgetPreservesFilteredColimits
 #align AddGroup.filtered_colimits.forget_preserves_filtered_colimits AddGroupCat.FilteredColimits.forgetPreservesFilteredColimits
+-/
 
 end
 
@@ -186,16 +232,19 @@ section
 -- passing around `F` all the time.
 parameter {J : Type v}[SmallCategory J][IsFiltered J](F : J ⥤ CommGroupCat.{max v u})
 
+#print CommGroupCat.FilteredColimits.G /-
 /-- The colimit of `F ⋙ forget₂ CommGroup Group` in the category `Group`.
 In the following, we will show that this has the structure of a _commutative_ group.
 -/
 @[to_additive
       "The colimit of `F ⋙ forget₂ AddCommGroup AddGroup` in the category `AddGroup`.\nIn the following, we will show that this has the structure of a _commutative_ additive group."]
-abbrev g : GroupCat :=
+abbrev G : GroupCat :=
   GroupCat.FilteredColimits.colimit (F ⋙ forget₂ CommGroupCat GroupCat.{max v u})
-#align CommGroup.filtered_colimits.G CommGroupCat.FilteredColimits.g
-#align AddCommGroup.filtered_colimits.G AddCommGroupCat.FilteredColimits.g
+#align CommGroup.filtered_colimits.G CommGroupCat.FilteredColimits.G
+#align AddCommGroup.filtered_colimits.G AddCommGroupCat.FilteredColimits.G
+-/
 
+#print CommGroupCat.FilteredColimits.colimitCommGroup /-
 @[to_additive]
 instance colimitCommGroup : CommGroup G :=
   { G.Group,
@@ -203,14 +252,18 @@ instance colimitCommGroup : CommGroup G :=
       (F ⋙ forget₂ CommGroupCat CommMonCat.{max v u}) with }
 #align CommGroup.filtered_colimits.colimit_comm_group CommGroupCat.FilteredColimits.colimitCommGroup
 #align AddCommGroup.filtered_colimits.colimit_add_comm_group AddCommGroupCat.FilteredColimits.colimitAddCommGroup
+-/
 
+#print CommGroupCat.FilteredColimits.colimit /-
 /-- The bundled commutative group giving the filtered colimit of a diagram. -/
 @[to_additive "The bundled additive commutative group giving the filtered colimit of a diagram."]
 def colimit : CommGroupCat :=
   CommGroupCat.of G
 #align CommGroup.filtered_colimits.colimit CommGroupCat.FilteredColimits.colimit
 #align AddCommGroup.filtered_colimits.colimit AddCommGroupCat.FilteredColimits.colimit
+-/
 
+#print CommGroupCat.FilteredColimits.colimitCocone /-
 /-- The cocone over the proposed colimit commutative group. -/
 @[to_additive "The cocone over the proposed colimit additive commutative group."]
 def colimitCocone : cocone F where
@@ -221,7 +274,9 @@ def colimitCocone : cocone F where
           (F ⋙ forget₂ CommGroupCat GroupCat.{max v u})).ι with }
 #align CommGroup.filtered_colimits.colimit_cocone CommGroupCat.FilteredColimits.colimitCocone
 #align AddCommGroup.filtered_colimits.colimit_cocone AddCommGroupCat.FilteredColimits.colimitCocone
+-/
 
+#print CommGroupCat.FilteredColimits.colimitCoconeIsColimit /-
 /-- The proposed colimit cocone is a colimit in `CommGroup`. -/
 @[to_additive "The proposed colimit cocone is a colimit in `AddCommGroup`."]
 def colimitCoconeIsColimit : IsColimit colimit_cocone
@@ -240,7 +295,9 @@ def colimitCoconeIsColimit : IsColimit colimit_cocone
         ((forget CommGroupCat).mapCocone t) m fun j => funext fun x => MonoidHom.congr_fun (h j) x
 #align CommGroup.filtered_colimits.colimit_cocone_is_colimit CommGroupCat.FilteredColimits.colimitCoconeIsColimit
 #align AddCommGroup.filtered_colimits.colimit_cocone_is_colimit AddCommGroupCat.FilteredColimits.colimitCoconeIsColimit
+-/
 
+#print CommGroupCat.FilteredColimits.forget₂GroupPreservesFilteredColimits /-
 @[to_additive forget₂_AddGroup_preserves_filtered_colimits]
 instance forget₂GroupPreservesFilteredColimits :
     PreservesFilteredColimits (forget₂ CommGroupCat GroupCat.{u})
@@ -252,12 +309,15 @@ instance forget₂GroupPreservesFilteredColimits :
             (F ⋙ forget₂ CommGroupCat GroupCat.{u})) }
 #align CommGroup.filtered_colimits.forget₂_Group_preserves_filtered_colimits CommGroupCat.FilteredColimits.forget₂GroupPreservesFilteredColimits
 #align AddCommGroup.filtered_colimits.forget₂_AddGroup_preserves_filtered_colimits AddCommGroupCat.FilteredColimits.forget₂AddGroupPreservesFilteredColimits
+-/
 
+#print CommGroupCat.FilteredColimits.forgetPreservesFilteredColimits /-
 @[to_additive]
 instance forgetPreservesFilteredColimits : PreservesFilteredColimits (forget CommGroupCat.{u}) :=
   Limits.compPreservesFilteredColimits (forget₂ CommGroupCat GroupCat) (forget GroupCat.{u})
 #align CommGroup.filtered_colimits.forget_preserves_filtered_colimits CommGroupCat.FilteredColimits.forgetPreservesFilteredColimits
 #align AddCommGroup.filtered_colimits.forget_preserves_filtered_colimits AddCommGroupCat.FilteredColimits.forgetPreservesFilteredColimits
+-/
 
 end

c43486ec

bump to nightly-2023-03-21-14

mathlib commit https://github.com/leanprover-community/mathlib/commit/290a7ba01fbcab1b64757bdaa270d28f4dcede35

4b782568

Diff

@@ -43,7 +43,7 @@ namespace GroupCat.FilteredColimits
 
 section
 
-open Mon.FilteredColimits (colimit_one_eq colimit_mul_mk_eq)
+open MonCat.FilteredColimits (colimit_one_eq colimit_mul_mk_eq)
 
 -- We use parameters here, mainly so we can have the abbreviations `G` and `G.mk` below, without
 -- passing around `F` all the time.
@@ -54,8 +54,8 @@ In the following, we will show that this has the structure of a group.
 -/
 @[to_additive
       "The colimit of `F ⋙ forget₂ AddGroup AddMon` in the category `AddMon`.\nIn the following, we will show that this has the structure of an additive group."]
-abbrev g : Mon :=
-  Mon.FilteredColimits.colimit (F ⋙ forget₂ GroupCat Mon.{max v u})
+abbrev g : MonCat :=
+  MonCat.FilteredColimits.colimit (F ⋙ forget₂ GroupCat MonCat.{max v u})
 #align Group.filtered_colimits.G GroupCat.FilteredColimits.g
 #align AddGroup.filtered_colimits.G AddGroupCat.FilteredColimits.g
 
@@ -118,8 +118,8 @@ instance colimitGroup : Group G :=
       apply Quot.inductionOn x; clear x; intro x
       cases' x with j x
       erw [colimit_inv_mk_eq,
-        colimit_mul_mk_eq (F ⋙ forget₂ GroupCat Mon.{max v u}) ⟨j, _⟩ ⟨j, _⟩ j (𝟙 j) (𝟙 j),
-        colimit_one_eq (F ⋙ forget₂ GroupCat Mon.{max v u}) j]
+        colimit_mul_mk_eq (F ⋙ forget₂ GroupCat MonCat.{max v u}) ⟨j, _⟩ ⟨j, _⟩ j (𝟙 j) (𝟙 j),
+        colimit_one_eq (F ⋙ forget₂ GroupCat MonCat.{max v u}) j]
       dsimp
       simp only [CategoryTheory.Functor.map_id, id_apply, mul_left_inv] }
 #align Group.filtered_colimits.colimit_group GroupCat.FilteredColimits.colimitGroup
@@ -136,7 +136,7 @@ def colimit : GroupCat :=
 @[to_additive "The cocone over the proposed colimit additive group."]
 def colimitCocone : cocone F where
   pt := colimit
-  ι := { (Mon.FilteredColimits.colimitCocone (F ⋙ forget₂ GroupCat Mon.{max v u})).ι with }
+  ι := { (MonCat.FilteredColimits.colimitCocone (F ⋙ forget₂ GroupCat MonCat.{max v u})).ι with }
 #align Group.filtered_colimits.colimit_cocone GroupCat.FilteredColimits.colimitCocone
 #align AddGroup.filtered_colimits.colimit_cocone AddGroupCat.FilteredColimits.colimitCocone
 
@@ -145,8 +145,8 @@ def colimitCocone : cocone F where
 def colimitCoconeIsColimit : IsColimit colimit_cocone
     where
   desc t :=
-    Mon.FilteredColimits.colimitDesc (F ⋙ forget₂ GroupCat Mon.{max v u})
-      ((forget₂ GroupCat Mon).mapCocone t)
+    MonCat.FilteredColimits.colimitDesc (F ⋙ forget₂ GroupCat MonCat.{max v u})
+      ((forget₂ GroupCat MonCat).mapCocone t)
   fac t j :=
     MonoidHom.coe_inj <|
       (Types.colimitCoconeIsColimit (F ⋙ forget GroupCat)).fac ((forget GroupCat).mapCocone t) j
@@ -158,18 +158,19 @@ def colimitCoconeIsColimit : IsColimit colimit_cocone
 #align AddGroup.filtered_colimits.colimit_cocone_is_colimit AddGroupCat.FilteredColimits.colimitCoconeIsColimit
 
 @[to_additive forget₂_AddMon_preserves_filtered_colimits]
-instance forget₂MonPreservesFilteredColimits : PreservesFilteredColimits (forget₂ GroupCat Mon.{u})
+instance forget₂MonPreservesFilteredColimits :
+    PreservesFilteredColimits (forget₂ GroupCat MonCat.{u})
     where PreservesFilteredColimits J _ _ :=
     {
       PreservesColimit := fun F =>
         preserves_colimit_of_preserves_colimit_cocone (colimitCoconeIsColimit.{u, u} F)
-          (Mon.FilteredColimits.colimitCoconeIsColimit (F ⋙ forget₂ GroupCat Mon.{u})) }
+          (MonCat.FilteredColimits.colimitCoconeIsColimit (F ⋙ forget₂ GroupCat MonCat.{u})) }
 #align Group.filtered_colimits.forget₂_Mon_preserves_filtered_colimits GroupCat.FilteredColimits.forget₂MonPreservesFilteredColimits
 #align AddGroup.filtered_colimits.forget₂_AddMon_preserves_filtered_colimits AddGroupCat.FilteredColimits.forget₂AddMonPreservesFilteredColimits
 
 @[to_additive]
 instance forgetPreservesFilteredColimits : PreservesFilteredColimits (forget GroupCat.{u}) :=
-  Limits.compPreservesFilteredColimits (forget₂ GroupCat Mon) (forget Mon.{u})
+  Limits.compPreservesFilteredColimits (forget₂ GroupCat MonCat) (forget MonCat.{u})
 #align Group.filtered_colimits.forget_preserves_filtered_colimits GroupCat.FilteredColimits.forgetPreservesFilteredColimits
 #align AddGroup.filtered_colimits.forget_preserves_filtered_colimits AddGroupCat.FilteredColimits.forgetPreservesFilteredColimits
 
@@ -198,7 +199,8 @@ abbrev g : GroupCat :=
 @[to_additive]
 instance colimitCommGroup : CommGroup G :=
   { G.Group,
-    CommMon.FilteredColimits.colimitCommMonoid (F ⋙ forget₂ CommGroupCat CommMon.{max v u}) with }
+    CommMonCat.FilteredColimits.colimitCommMonoid
+      (F ⋙ forget₂ CommGroupCat CommMonCat.{max v u}) with }
 #align CommGroup.filtered_colimits.colimit_comm_group CommGroupCat.FilteredColimits.colimitCommGroup
 #align AddCommGroup.filtered_colimits.colimit_add_comm_group AddCommGroupCat.FilteredColimits.colimitAddCommGroup

c43486ec

bump to nightly-2023-02-28-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211

1fb1623f

Diff

@@ -135,7 +135,7 @@ def colimit : GroupCat :=
 /-- The cocone over the proposed colimit group. -/
 @[to_additive "The cocone over the proposed colimit additive group."]
 def colimitCocone : cocone F where
-  x := colimit
+  pt := colimit
   ι := { (Mon.FilteredColimits.colimitCocone (F ⋙ forget₂ GroupCat Mon.{max v u})).ι with }
 #align Group.filtered_colimits.colimit_cocone GroupCat.FilteredColimits.colimitCocone
 #align AddGroup.filtered_colimits.colimit_cocone AddGroupCat.FilteredColimits.colimitCocone
@@ -212,7 +212,7 @@ def colimit : CommGroupCat :=
 /-- The cocone over the proposed colimit commutative group. -/
 @[to_additive "The cocone over the proposed colimit additive commutative group."]
 def colimitCocone : cocone F where
-  x := colimit
+  pt := colimit
   ι :=
     {
       (GroupCat.FilteredColimits.colimitCocone

c43486ec

bump to nightly-2023-02-27-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/eb0cb4511aaef0da2462207b67358a0e1fe1e2ee

91d8c210

Diff

@@ -147,15 +147,15 @@ def colimitCoconeIsColimit : IsColimit colimit_cocone
   desc t :=
     Mon.FilteredColimits.colimitDesc (F ⋙ forget₂ GroupCat Mon.{max v u})
       ((forget₂ GroupCat Mon).mapCocone t)
-  fac' t j :=
+  fac t j :=
     MonoidHom.coe_inj <|
       (Types.colimitCoconeIsColimit (F ⋙ forget GroupCat)).fac ((forget GroupCat).mapCocone t) j
-  uniq' t m h :=
+  uniq t m h :=
     MonoidHom.coe_inj <|
       (Types.colimitCoconeIsColimit (F ⋙ forget GroupCat)).uniq ((forget GroupCat).mapCocone t) m
         fun j => funext fun x => MonoidHom.congr_fun (h j) x
 #align Group.filtered_colimits.colimit_cocone_is_colimit GroupCat.FilteredColimits.colimitCoconeIsColimit
-#align AddGroup.filtered_colimits.colimit_cocone_is_colimit AddGroupCat.FilteredColimits.colimit_cocone_is_colimit
+#align AddGroup.filtered_colimits.colimit_cocone_is_colimit AddGroupCat.FilteredColimits.colimitCoconeIsColimit
 
 @[to_additive forget₂_AddMon_preserves_filtered_colimits]
 instance forget₂MonPreservesFilteredColimits : PreservesFilteredColimits (forget₂ GroupCat Mon.{u})
@@ -165,13 +165,13 @@ instance forget₂MonPreservesFilteredColimits : PreservesFilteredColimits (forg
         preserves_colimit_of_preserves_colimit_cocone (colimitCoconeIsColimit.{u, u} F)
           (Mon.FilteredColimits.colimitCoconeIsColimit (F ⋙ forget₂ GroupCat Mon.{u})) }
 #align Group.filtered_colimits.forget₂_Mon_preserves_filtered_colimits GroupCat.FilteredColimits.forget₂MonPreservesFilteredColimits
-#align AddGroup.filtered_colimits.forget₂_AddMon_preserves_filtered_colimits AddGroupCat.FilteredColimits.forget₂_AddMon_preserves_filtered_colimits
+#align AddGroup.filtered_colimits.forget₂_AddMon_preserves_filtered_colimits AddGroupCat.FilteredColimits.forget₂AddMonPreservesFilteredColimits
 
 @[to_additive]
 instance forgetPreservesFilteredColimits : PreservesFilteredColimits (forget GroupCat.{u}) :=
   Limits.compPreservesFilteredColimits (forget₂ GroupCat Mon) (forget Mon.{u})
 #align Group.filtered_colimits.forget_preserves_filtered_colimits GroupCat.FilteredColimits.forgetPreservesFilteredColimits
-#align AddGroup.filtered_colimits.forget_preserves_filtered_colimits AddGroupCat.FilteredColimits.forget_preserves_filtered_colimits
+#align AddGroup.filtered_colimits.forget_preserves_filtered_colimits AddGroupCat.FilteredColimits.forgetPreservesFilteredColimits
 
 end
 
@@ -228,16 +228,16 @@ def colimitCoconeIsColimit : IsColimit colimit_cocone
     (GroupCat.FilteredColimits.colimitCoconeIsColimit
           (F ⋙ forget₂ CommGroupCat GroupCat.{max v u})).desc
       ((forget₂ CommGroupCat GroupCat.{max v u}).mapCocone t)
-  fac' t j :=
+  fac t j :=
     MonoidHom.coe_inj <|
       (Types.colimitCoconeIsColimit (F ⋙ forget CommGroupCat)).fac
         ((forget CommGroupCat).mapCocone t) j
-  uniq' t m h :=
+  uniq t m h :=
     MonoidHom.coe_inj <|
       (Types.colimitCoconeIsColimit (F ⋙ forget CommGroupCat)).uniq
         ((forget CommGroupCat).mapCocone t) m fun j => funext fun x => MonoidHom.congr_fun (h j) x
 #align CommGroup.filtered_colimits.colimit_cocone_is_colimit CommGroupCat.FilteredColimits.colimitCoconeIsColimit
-#align AddCommGroup.filtered_colimits.colimit_cocone_is_colimit AddCommGroupCat.FilteredColimits.colimit_cocone_is_colimit
+#align AddCommGroup.filtered_colimits.colimit_cocone_is_colimit AddCommGroupCat.FilteredColimits.colimitCoconeIsColimit
 
 @[to_additive forget₂_AddGroup_preserves_filtered_colimits]
 instance forget₂GroupPreservesFilteredColimits :
@@ -249,13 +249,13 @@ instance forget₂GroupPreservesFilteredColimits :
           (GroupCat.FilteredColimits.colimitCoconeIsColimit
             (F ⋙ forget₂ CommGroupCat GroupCat.{u})) }
 #align CommGroup.filtered_colimits.forget₂_Group_preserves_filtered_colimits CommGroupCat.FilteredColimits.forget₂GroupPreservesFilteredColimits
-#align AddCommGroup.filtered_colimits.forget₂_AddGroup_preserves_filtered_colimits AddCommGroupCat.FilteredColimits.forget₂_AddGroup_preserves_filtered_colimits
+#align AddCommGroup.filtered_colimits.forget₂_AddGroup_preserves_filtered_colimits AddCommGroupCat.FilteredColimits.forget₂AddGroupPreservesFilteredColimits
 
 @[to_additive]
 instance forgetPreservesFilteredColimits : PreservesFilteredColimits (forget CommGroupCat.{u}) :=
   Limits.compPreservesFilteredColimits (forget₂ CommGroupCat GroupCat) (forget GroupCat.{u})
 #align CommGroup.filtered_colimits.forget_preserves_filtered_colimits CommGroupCat.FilteredColimits.forgetPreservesFilteredColimits
-#align AddCommGroup.filtered_colimits.forget_preserves_filtered_colimits AddCommGroupCat.FilteredColimits.forget_preserves_filtered_colimits
+#align AddCommGroup.filtered_colimits.forget_preserves_filtered_colimits AddCommGroupCat.FilteredColimits.forgetPreservesFilteredColimits
 
 end

c43486ec

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

c43486ec

refactor: generalize universes for colimits in Type (#11148)

This is a smaller version of #7020. Before this PR, for limits, we gave instances for small indexing categories, but for colimits, we gave instances for TypeMax. This PR changes so that we give instances for small indexing categories in both cases. This is more general and also more uniform.

Co-authored-by: Joël Riou <rioujoel@gmail.com>

d73713b9

Diff

@@ -61,7 +61,7 @@ noncomputable abbrev G : MonCat :=
 /-- The canonical projection into the colimit, as a quotient type. -/
 @[to_additive "The canonical projection into the colimit, as a quotient type."]
 abbrev G.mk : (Σ j, F.obj j) → G.{v, u} F :=
-  Quot.mk (Types.Quot.Rel.{v, u} (F ⋙ forget GroupCat.{max v u}))
+  Quot.mk (Types.Quot.Rel (F ⋙ forget GroupCat.{max v u}))
 #align Group.filtered_colimits.G.mk GroupCat.FilteredColimits.G.mk
 #align AddGroup.filtered_colimits.G.mk AddGroupCat.FilteredColimits.G.mk
 
@@ -82,7 +82,7 @@ def colimitInvAux (x : Σ j, F.obj j) : G.{v, u} F :=
 
 @[to_additive]
 theorem colimitInvAux_eq_of_rel (x y : Σ j, F.obj j)
-    (h : Types.FilteredColimit.Rel.{v, u} (F ⋙ forget GroupCat) x y) :
+    (h : Types.FilteredColimit.Rel (F ⋙ forget GroupCat) x y) :
     colimitInvAux.{v, u} F x = colimitInvAux F y := by
   apply G.mk_eq
   obtain ⟨k, f, g, hfg⟩ := h
@@ -147,11 +147,11 @@ def colimitCoconeIsColimit : IsColimit (colimitCocone.{v, u} F) where
       ((forget₂ GroupCat MonCat).mapCocone t)
   fac t j :=
     DFunLike.coe_injective <|
-      (Types.colimitCoconeIsColimit.{v, u} (F ⋙ forget GroupCat)).fac
+      (Types.TypeMax.colimitCoconeIsColimit.{v, u} (F ⋙ forget GroupCat)).fac
       ((forget GroupCat).mapCocone t) j
   uniq t _ h :=
     DFunLike.coe_injective' <|
-      (Types.colimitCoconeIsColimit.{v, u} (F ⋙ forget GroupCat)).uniq
+      (Types.TypeMax.colimitCoconeIsColimit.{v, u} (F ⋙ forget GroupCat)).uniq
       ((forget GroupCat).mapCocone t) _
         fun j => funext fun x => DFunLike.congr_fun (h j) x
 #align Group.filtered_colimits.colimit_cocone_is_colimit GroupCat.FilteredColimits.colimitCoconeIsColimit
@@ -231,11 +231,11 @@ def colimitCoconeIsColimit : IsColimit (colimitCocone.{v, u} F) where
       ((forget₂ CommGroupCat GroupCat.{max v u}).mapCocone t)
   fac t j :=
     DFunLike.coe_injective <|
-      (Types.colimitCoconeIsColimit.{v, u} (F ⋙ forget CommGroupCat)).fac
+      (Types.TypeMax.colimitCoconeIsColimit.{v, u} (F ⋙ forget CommGroupCat)).fac
         ((forget CommGroupCat).mapCocone t) j
   uniq t _ h :=
     DFunLike.coe_injective <|
-      (Types.colimitCoconeIsColimit.{v, u} (F ⋙ forget CommGroupCat)).uniq
+      (Types.TypeMax.colimitCoconeIsColimit.{v, u} (F ⋙ forget CommGroupCat)).uniq
         ((forget CommGroupCat).mapCocone t) _ fun j => funext fun x => DFunLike.congr_fun (h j) x
 #align CommGroup.filtered_colimits.colimit_cocone_is_colimit CommGroupCat.FilteredColimits.colimitCoconeIsColimit
 #align AddCommGroup.filtered_colimits.colimit_cocone_is_colimit AddCommGroupCat.FilteredColimits.colimitCoconeIsColimit

c43486ec

chore: scope open Classical (#11199)

We remove all but one open Classicals, instead preferring to use open scoped Classical. The only real side-effect this led to is moving a couple declarations to use Exists.choose instead of Classical.choose.

The first few commits are explicitly labelled regex replaces for ease of review.

c747be0a

Diff

@@ -29,7 +29,7 @@ universe v u
 
 noncomputable section
 
-open Classical
+open scoped Classical
 
 open CategoryTheory

c43486ec

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

@@ -146,14 +146,14 @@ def colimitCoconeIsColimit : IsColimit (colimitCocone.{v, u} F) where
     MonCat.FilteredColimits.colimitDesc.{v, u} (F ⋙ forget₂ GroupCat MonCat.{max v u})
       ((forget₂ GroupCat MonCat).mapCocone t)
   fac t j :=
-    FunLike.coe_injective <|
+    DFunLike.coe_injective <|
       (Types.colimitCoconeIsColimit.{v, u} (F ⋙ forget GroupCat)).fac
       ((forget GroupCat).mapCocone t) j
   uniq t _ h :=
-    FunLike.coe_injective' <|
+    DFunLike.coe_injective' <|
       (Types.colimitCoconeIsColimit.{v, u} (F ⋙ forget GroupCat)).uniq
       ((forget GroupCat).mapCocone t) _
-        fun j => funext fun x => FunLike.congr_fun (h j) x
+        fun j => funext fun x => DFunLike.congr_fun (h j) x
 #align Group.filtered_colimits.colimit_cocone_is_colimit GroupCat.FilteredColimits.colimitCoconeIsColimit
 #align AddGroup.filtered_colimits.colimit_cocone_is_colimit AddGroupCat.FilteredColimits.colimitCoconeIsColimit
 
@@ -230,13 +230,13 @@ def colimitCoconeIsColimit : IsColimit (colimitCocone.{v, u} F) where
           (F ⋙ forget₂ CommGroupCat GroupCat.{max v u})).desc
       ((forget₂ CommGroupCat GroupCat.{max v u}).mapCocone t)
   fac t j :=
-    FunLike.coe_injective <|
+    DFunLike.coe_injective <|
       (Types.colimitCoconeIsColimit.{v, u} (F ⋙ forget CommGroupCat)).fac
         ((forget CommGroupCat).mapCocone t) j
   uniq t _ h :=
-    FunLike.coe_injective <|
+    DFunLike.coe_injective <|
       (Types.colimitCoconeIsColimit.{v, u} (F ⋙ forget CommGroupCat)).uniq
-        ((forget CommGroupCat).mapCocone t) _ fun j => funext fun x => FunLike.congr_fun (h j) x
+        ((forget CommGroupCat).mapCocone t) _ fun j => funext fun x => DFunLike.congr_fun (h j) x
 #align CommGroup.filtered_colimits.colimit_cocone_is_colimit CommGroupCat.FilteredColimits.colimitCoconeIsColimit
 #align AddCommGroup.filtered_colimits.colimit_cocone_is_colimit AddCommGroupCat.FilteredColimits.colimitCoconeIsColimit

c43486ec

chore: tidy various files (#6382)

54997305

Diff

@@ -14,14 +14,16 @@ import Mathlib.Algebra.Category.MonCat.FilteredColimits
 Forgetful functors from algebraic categories usually don't preserve colimits. However, they tend
 to preserve _filtered_ colimits.
 
-In this file, we start with a small filtered category `J` and a functor `F : J ⥤ Group`.
-We show that the colimit of `F ⋙ forget₂ Group Mon` (in `Mon`) carries the structure of a group,
-thereby showing that the forgetful functor `forget₂ Group Mon` preserves filtered colimits. In
-particular, this implies that `forget Group` preserves filtered colimits. Similarly for `AddGroup`,
-`CommGroup` and `AddCommGroup`.
+In this file, we start with a small filtered category `J` and a functor `F : J ⥤ GroupCat`.
+We show that the colimit of `F ⋙ forget₂ GroupCat MonCat` (in `MonCat`) carries the structure of a
+group,
+thereby showing that the forgetful functor `forget₂ GroupCat MonCat` preserves filtered colimits.
+In particular, this implies that `forget GroupCat` preserves filtered colimits.
+Similarly for `AddGroupCat`, `CommGroupCat` and `AddCommGroupCat`.
 
 -/
 
+set_option linter.uppercaseLean3 false
 
 universe v u
 
@@ -41,30 +43,26 @@ section
 
 open MonCat.FilteredColimits (colimit_one_eq colimit_mul_mk_eq)
 
--- We use parameters here, mainly so we can have the abbreviations `G` and `G.mk` below, without
--- passing around `F` all the time.
+-- Mathlib3 used parameters here, mainly so we could have the abbreviations `G` and `G.mk` below,
+-- without passing around `F` all the time.
 variable {J : Type v} [SmallCategory J] [IsFiltered J] (F : J ⥤ GroupCat.{max v u})
 
-/-- The colimit of `F ⋙ forget₂ Group Mon` in the category `Mon`.
+/-- The colimit of `F ⋙ forget₂ GroupCat MonCat` in the category `MonCat`.
 In the following, we will show that this has the structure of a group.
 -/
 @[to_additive
-  "The colimit of `F ⋙ forget₂ AddGroup AddMon` in the category `AddMon`.
+  "The colimit of `F ⋙ forget₂ AddGroupCat AddMonCat` in the category `AddMonCat`.
   In the following, we will show that this has the structure of an additive group."]
 noncomputable abbrev G : MonCat :=
   MonCat.FilteredColimits.colimit.{v, u} (F ⋙ forget₂ GroupCat MonCat.{max v u})
-set_option linter.uppercaseLean3 false in
 #align Group.filtered_colimits.G GroupCat.FilteredColimits.G
-set_option linter.uppercaseLean3 false in
 #align AddGroup.filtered_colimits.G AddGroupCat.FilteredColimits.G
 
 /-- The canonical projection into the colimit, as a quotient type. -/
 @[to_additive "The canonical projection into the colimit, as a quotient type."]
 abbrev G.mk : (Σ j, F.obj j) → G.{v, u} F :=
   Quot.mk (Types.Quot.Rel.{v, u} (F ⋙ forget GroupCat.{max v u}))
-set_option linter.uppercaseLean3 false in
 #align Group.filtered_colimits.G.mk GroupCat.FilteredColimits.G.mk
-set_option linter.uppercaseLean3 false in
 #align AddGroup.filtered_colimits.G.mk AddGroupCat.FilteredColimits.G.mk
 
 @[to_additive]
@@ -72,18 +70,14 @@ theorem G.mk_eq (x y : Σ j, F.obj j)
     (h : ∃ (k : J) (f : x.1 ⟶ k) (g : y.1 ⟶ k), F.map f x.2 = F.map g y.2) :
     G.mk.{v, u} F x = G.mk F y :=
   Quot.EqvGen_sound (Types.FilteredColimit.eqvGen_quot_rel_of_rel (F ⋙ forget GroupCat) x y h)
-set_option linter.uppercaseLean3 false in
 #align Group.filtered_colimits.G.mk_eq GroupCat.FilteredColimits.G.mk_eq
-set_option linter.uppercaseLean3 false in
 #align AddGroup.filtered_colimits.G.mk_eq AddGroupCat.FilteredColimits.G.mk_eq
 
 /-- The "unlifted" version of taking inverses in the colimit. -/
 @[to_additive "The \"unlifted\" version of negation in the colimit."]
 def colimitInvAux (x : Σ j, F.obj j) : G.{v, u} F :=
   G.mk F ⟨x.1, x.2⁻¹⟩
-set_option linter.uppercaseLean3 false in
 #align Group.filtered_colimits.colimit_inv_aux GroupCat.FilteredColimits.colimitInvAux
-set_option linter.uppercaseLean3 false in
 #align AddGroup.filtered_colimits.colimit_neg_aux AddGroupCat.FilteredColimits.colimitNegAux
 
 @[to_additive]
@@ -95,13 +89,11 @@ theorem colimitInvAux_eq_of_rel (x y : Σ j, F.obj j)
   use k, f, g
   rw [MonoidHom.map_inv, MonoidHom.map_inv, inv_inj]
   exact hfg
-set_option linter.uppercaseLean3 false in
 #align Group.filtered_colimits.colimit_inv_aux_eq_of_rel GroupCat.FilteredColimits.colimitInvAux_eq_of_rel
-set_option linter.uppercaseLean3 false in
 #align AddGroup.filtered_colimits.colimit_neg_aux_eq_of_rel AddGroupCat.FilteredColimits.colimitNegAux_eq_of_rel
 
-/-- Taking inverses in the colimit. See also `colimit_inv_aux`. -/
-@[to_additive "Negation in the colimit. See also `colimit_neg_aux`."]
+/-- Taking inverses in the colimit. See also `colimitInvAux`. -/
+@[to_additive "Negation in the colimit. See also `colimitNegAux`."]
 instance colimitInv : Inv (G.{v, u} F) where
   inv x := by
     refine' Quot.lift (colimitInvAux.{v, u} F) _ x
@@ -109,17 +101,13 @@ instance colimitInv : Inv (G.{v, u} F) where
     apply colimitInvAux_eq_of_rel
     apply Types.FilteredColimit.rel_of_quot_rel
     exact h
-set_option linter.uppercaseLean3 false in
 #align Group.filtered_colimits.colimit_has_inv GroupCat.FilteredColimits.colimitInv
-set_option linter.uppercaseLean3 false in
 #align AddGroup.filtered_colimits.colimit_has_neg AddGroupCat.FilteredColimits.colimitNeg
 
 @[to_additive (attr := simp)]
 theorem colimit_inv_mk_eq (x : Σ j, F.obj j) : (G.mk.{v, u} F x)⁻¹ = G.mk F ⟨x.1, x.2⁻¹⟩ :=
   rfl
-set_option linter.uppercaseLean3 false in
 #align Group.filtered_colimits.colimit_inv_mk_eq GroupCat.FilteredColimits.colimit_inv_mk_eq
-set_option linter.uppercaseLean3 false in
 #align AddGroup.filtered_colimits.colimit_neg_mk_eq AddGroupCat.FilteredColimits.colimit_neg_mk_eq
 
 @[to_additive]
@@ -133,18 +121,14 @@ noncomputable instance colimitGroup : Group (G.{v, u} F) :=
         colimit_one_eq (F ⋙ forget₂ GroupCat MonCat.{max v u}) j]
       dsimp
       erw [CategoryTheory.Functor.map_id, mul_left_inv] }
-set_option linter.uppercaseLean3 false in
 #align Group.filtered_colimits.colimit_group GroupCat.FilteredColimits.colimitGroup
-set_option linter.uppercaseLean3 false in
 #align AddGroup.filtered_colimits.colimit_add_group AddGroupCat.FilteredColimits.colimitAddGroup
 
 /-- The bundled group giving the filtered colimit of a diagram. -/
 @[to_additive "The bundled additive group giving the filtered colimit of a diagram."]
 noncomputable def colimit : GroupCat.{max v u} :=
   GroupCat.of (G.{v, u} F)
-set_option linter.uppercaseLean3 false in
 #align Group.filtered_colimits.colimit GroupCat.FilteredColimits.colimit
-set_option linter.uppercaseLean3 false in
 #align AddGroup.filtered_colimits.colimit AddGroupCat.FilteredColimits.colimit
 
 /-- The cocone over the proposed colimit group. -/
@@ -152,12 +136,10 @@ set_option linter.uppercaseLean3 false in
 noncomputable def colimitCocone : Cocone F where
   pt := colimit.{v, u} F
   ι := { (MonCat.FilteredColimits.colimitCocone (F ⋙ forget₂ GroupCat MonCat.{max v u})).ι with }
-set_option linter.uppercaseLean3 false in
 #align Group.filtered_colimits.colimit_cocone GroupCat.FilteredColimits.colimitCocone
-set_option linter.uppercaseLean3 false in
 #align AddGroup.filtered_colimits.colimit_cocone AddGroupCat.FilteredColimits.colimitCocone
 
-/-- The proposed colimit cocone is a colimit in `Group`. -/
+/-- The proposed colimit cocone is a colimit in `GroupCat`. -/
 @[to_additive "The proposed colimit cocone is a colimit in `AddGroup`."]
 def colimitCoconeIsColimit : IsColimit (colimitCocone.{v, u} F) where
   desc t :=
@@ -172,9 +154,7 @@ def colimitCoconeIsColimit : IsColimit (colimitCocone.{v, u} F) where
       (Types.colimitCoconeIsColimit.{v, u} (F ⋙ forget GroupCat)).uniq
       ((forget GroupCat).mapCocone t) _
         fun j => funext fun x => FunLike.congr_fun (h j) x
-set_option linter.uppercaseLean3 false in
 #align Group.filtered_colimits.colimit_cocone_is_colimit GroupCat.FilteredColimits.colimitCoconeIsColimit
-set_option linter.uppercaseLean3 false in
 #align AddGroup.filtered_colimits.colimit_cocone_is_colimit AddGroupCat.FilteredColimits.colimitCoconeIsColimit
 
 @[to_additive forget₂AddMonPreservesFilteredColimits]
@@ -184,18 +164,14 @@ noncomputable instance forget₂MonPreservesFilteredColimits :
       letI : Category.{u, u} x := hx1
       ⟨fun {F} => preservesColimitOfPreservesColimitCocone (colimitCoconeIsColimit.{u, u} F)
           (MonCat.FilteredColimits.colimitCoconeIsColimit.{u, u} _)⟩
-set_option linter.uppercaseLean3 false in
 #align Group.filtered_colimits.forget₂_Mon_preserves_filtered_colimits GroupCat.FilteredColimits.forget₂MonPreservesFilteredColimits
-set_option linter.uppercaseLean3 false in
 #align AddGroup.filtered_colimits.forget₂_AddMon_preserves_filtered_colimits AddGroupCat.FilteredColimits.forget₂AddMonPreservesFilteredColimits
 
 @[to_additive]
 noncomputable instance forgetPreservesFilteredColimits :
     PreservesFilteredColimits (forget GroupCat.{u}) :=
   Limits.compPreservesFilteredColimits (forget₂ GroupCat MonCat) (forget MonCat.{u})
-set_option linter.uppercaseLean3 false in
 #align Group.filtered_colimits.forget_preserves_filtered_colimits GroupCat.FilteredColimits.forgetPreservesFilteredColimits
-set_option linter.uppercaseLean3 false in
 #align AddGroup.filtered_colimits.forget_preserves_filtered_colimits AddGroupCat.FilteredColimits.forgetPreservesFilteredColimits
 
 end
@@ -210,17 +186,15 @@ section
 -- passing around `F` all the time.
 variable {J : Type v} [SmallCategory J] [IsFiltered J] (F : J ⥤ CommGroupCat.{max v u})
 
-/-- The colimit of `F ⋙ forget₂ CommGroup Group` in the category `Group`.
+/-- The colimit of `F ⋙ forget₂ CommGroupCat GroupCat` in the category `GroupCat`.
 In the following, we will show that this has the structure of a _commutative_ group.
 -/
 @[to_additive
-  "The colimit of `F ⋙ forget₂ AddCommGroup AddGroup` in the category `AddGroup`.
+  "The colimit of `F ⋙ forget₂ AddCommGroupCat AddGroupCat` in the category `AddGroupCat`.
   In the following, we will show that this has the structure of a _commutative_ additive group."]
 noncomputable abbrev G : GroupCat.{max v u} :=
   GroupCat.FilteredColimits.colimit.{v, u} (F ⋙ forget₂ CommGroupCat.{max v u} GroupCat.{max v u})
-set_option linter.uppercaseLean3 false in
 #align CommGroup.filtered_colimits.G CommGroupCat.FilteredColimits.G
-set_option linter.uppercaseLean3 false in
 #align AddCommGroup.filtered_colimits.G AddCommGroupCat.FilteredColimits.G
 
 @[to_additive]
@@ -228,18 +202,14 @@ noncomputable instance colimitCommGroup : CommGroup.{max v u} (G.{v, u} F) :=
   { (G F).str,
     CommMonCat.FilteredColimits.colimitCommMonoid
       (F ⋙ forget₂ CommGroupCat CommMonCat.{max v u}) with }
-set_option linter.uppercaseLean3 false in
 #align CommGroup.filtered_colimits.colimit_comm_group CommGroupCat.FilteredColimits.colimitCommGroup
-set_option linter.uppercaseLean3 false in
 #align AddCommGroup.filtered_colimits.colimit_add_comm_group AddCommGroupCat.FilteredColimits.colimitAddCommGroup
 
 /-- The bundled commutative group giving the filtered colimit of a diagram. -/
 @[to_additive "The bundled additive commutative group giving the filtered colimit of a diagram."]
 noncomputable def colimit : CommGroupCat :=
   CommGroupCat.of (G.{v, u} F)
-set_option linter.uppercaseLean3 false in
 #align CommGroup.filtered_colimits.colimit CommGroupCat.FilteredColimits.colimit
-set_option linter.uppercaseLean3 false in
 #align AddCommGroup.filtered_colimits.colimit AddCommGroupCat.FilteredColimits.colimit
 
 /-- The cocone over the proposed colimit commutative group. -/
@@ -249,12 +219,10 @@ noncomputable def colimitCocone : Cocone F where
   ι :=
     { (GroupCat.FilteredColimits.colimitCocone
           (F ⋙ forget₂ CommGroupCat GroupCat.{max v u})).ι with }
-set_option linter.uppercaseLean3 false in
 #align CommGroup.filtered_colimits.colimit_cocone CommGroupCat.FilteredColimits.colimitCocone
-set_option linter.uppercaseLean3 false in
 #align AddCommGroup.filtered_colimits.colimit_cocone AddCommGroupCat.FilteredColimits.colimitCocone
 
-/-- The proposed colimit cocone is a colimit in `CommGroup`. -/
+/-- The proposed colimit cocone is a colimit in `CommGroupCat`. -/
 @[to_additive "The proposed colimit cocone is a colimit in `AddCommGroup`."]
 def colimitCoconeIsColimit : IsColimit (colimitCocone.{v, u} F) where
   desc t :=
@@ -269,9 +237,7 @@ def colimitCoconeIsColimit : IsColimit (colimitCocone.{v, u} F) where
     FunLike.coe_injective <|
       (Types.colimitCoconeIsColimit.{v, u} (F ⋙ forget CommGroupCat)).uniq
         ((forget CommGroupCat).mapCocone t) _ fun j => funext fun x => FunLike.congr_fun (h j) x
-set_option linter.uppercaseLean3 false in
 #align CommGroup.filtered_colimits.colimit_cocone_is_colimit CommGroupCat.FilteredColimits.colimitCoconeIsColimit
-set_option linter.uppercaseLean3 false in
 #align AddCommGroup.filtered_colimits.colimit_cocone_is_colimit AddCommGroupCat.FilteredColimits.colimitCoconeIsColimit
 
 @[to_additive]
@@ -283,18 +249,14 @@ noncomputable instance forget₂GroupPreservesFilteredColimits :
         preservesColimitOfPreservesColimitCocone (colimitCoconeIsColimit.{u, u} F)
           (GroupCat.FilteredColimits.colimitCoconeIsColimit.{u, u}
             (F ⋙ forget₂ CommGroupCat GroupCat.{u})) }
-set_option linter.uppercaseLean3 false in
 #align CommGroup.filtered_colimits.forget₂_Group_preserves_filtered_colimits CommGroupCat.FilteredColimits.forget₂GroupPreservesFilteredColimits
-set_option linter.uppercaseLean3 false in
 #align AddCommGroup.filtered_colimits.forget₂_AddGroup_preserves_filtered_colimits AddCommGroupCat.FilteredColimits.forget₂AddGroupPreservesFilteredColimits
 
 @[to_additive]
 noncomputable instance forgetPreservesFilteredColimits :
     PreservesFilteredColimits (forget CommGroupCat.{u}) :=
   Limits.compPreservesFilteredColimits (forget₂ CommGroupCat GroupCat) (forget GroupCat.{u})
-set_option linter.uppercaseLean3 false in
 #align CommGroup.filtered_colimits.forget_preserves_filtered_colimits CommGroupCat.FilteredColimits.forgetPreservesFilteredColimits
-set_option linter.uppercaseLean3 false in
 #align AddCommGroup.filtered_colimits.forget_preserves_filtered_colimits AddCommGroupCat.FilteredColimits.forgetPreservesFilteredColimits
 
 end

c43486ec

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 Justus Springer. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Justus Springer
-
-! This file was ported from Lean 3 source module algebra.category.Group.filtered_colimits
-! leanprover-community/mathlib commit c43486ecf2a5a17479a32ce09e4818924145e90e
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Category.GroupCat.Basic
 import Mathlib.Algebra.Category.MonCat.FilteredColimits
 
+#align_import algebra.category.Group.filtered_colimits from "leanprover-community/mathlib"@"c43486ecf2a5a17479a32ce09e4818924145e90e"
+
 /-!
 # The forgetful functor from (commutative) (additive) groups preserves filtered colimits.

c43486ec

feat: port Algebra.Category.Mon.Colimits (#5466)

d93a0a4d

Diff

@@ -9,7 +9,7 @@ Authors: Justus Springer
 ! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Category.GroupCat.Basic
-import Mathlib.Algebra.Category.Mon.FilteredColimits
+import Mathlib.Algebra.Category.MonCat.FilteredColimits
 
 /-!
 # The forgetful functor from (commutative) (additive) groups preserves filtered colimits.

c43486ec

chore: cleanup of filtered colimits in concrete categories (#5407)

Just formatting changes, except that I've split the colimitMonoid instances into two steps, as this was already close to the time limit, and timing out on another branch.

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

969f6135

Diff

@@ -36,9 +36,8 @@ open CategoryTheory
 
 open CategoryTheory.Limits
 
-open CategoryTheory.IsFiltered renaming max → max'
+open CategoryTheory.IsFiltered renaming max → max' -- avoid name collision with `_root_.max`.
 
--- avoid name collision with `_root_.max`.
 namespace GroupCat.FilteredColimits
 
 section
@@ -184,7 +183,8 @@ set_option linter.uppercaseLean3 false in
 @[to_additive forget₂AddMonPreservesFilteredColimits]
 noncomputable instance forget₂MonPreservesFilteredColimits :
     PreservesFilteredColimits.{u} (forget₂ GroupCat.{u} MonCat.{u}) where
-      preserves_filtered_colimits := fun x hx1 _ => letI : Category.{u, u} x := hx1
+      preserves_filtered_colimits x hx1 _ :=
+      letI : Category.{u, u} x := hx1
       ⟨fun {F} => preservesColimitOfPreservesColimitCocone (colimitCoconeIsColimit.{u, u} F)
           (MonCat.FilteredColimits.colimitCoconeIsColimit.{u, u} _)⟩
 set_option linter.uppercaseLean3 false in
@@ -250,8 +250,7 @@ set_option linter.uppercaseLean3 false in
 noncomputable def colimitCocone : Cocone F where
   pt := colimit.{v, u} F
   ι :=
-    {
-      (GroupCat.FilteredColimits.colimitCocone
+    { (GroupCat.FilteredColimits.colimitCocone
           (F ⋙ forget₂ CommGroupCat GroupCat.{max v u})).ι with }
 set_option linter.uppercaseLean3 false in
 #align CommGroup.filtered_colimits.colimit_cocone CommGroupCat.FilteredColimits.colimitCocone
@@ -280,12 +279,13 @@ set_option linter.uppercaseLean3 false in
 
 @[to_additive]
 noncomputable instance forget₂GroupPreservesFilteredColimits :
-    PreservesFilteredColimits (forget₂ CommGroupCat GroupCat.{u})
-    where preserves_filtered_colimits J hJ1 _ := letI : Category J := hJ1
-  { preservesColimit := fun {F} =>
-      preservesColimitOfPreservesColimitCocone (colimitCoconeIsColimit.{u, u} F)
-        (GroupCat.FilteredColimits.colimitCoconeIsColimit.{u, u}
-          (F ⋙ forget₂ CommGroupCat GroupCat.{u})) }
+    PreservesFilteredColimits (forget₂ CommGroupCat GroupCat.{u}) where
+  preserves_filtered_colimits J hJ1 _ :=
+    letI : Category J := hJ1
+    { preservesColimit := fun {F} =>
+        preservesColimitOfPreservesColimitCocone (colimitCoconeIsColimit.{u, u} F)
+          (GroupCat.FilteredColimits.colimitCoconeIsColimit.{u, u}
+            (F ⋙ forget₂ CommGroupCat GroupCat.{u})) }
 set_option linter.uppercaseLean3 false in
 #align CommGroup.filtered_colimits.forget₂_Group_preserves_filtered_colimits CommGroupCat.FilteredColimits.forget₂GroupPreservesFilteredColimits
 set_option linter.uppercaseLean3 false in

c43486ec

Port/Algebra.Category.Module.FilteredColimits (#4949)

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

45f44831

Diff

@@ -47,7 +47,7 @@ open MonCat.FilteredColimits (colimit_one_eq colimit_mul_mk_eq)
 
 -- We use parameters here, mainly so we can have the abbreviations `G` and `G.mk` below, without
 -- passing around `F` all the time.
-variable {J : Type v}[SmallCategory J] [IsFiltered J] (F : J ⥤ GroupCat.{max v u})
+variable {J : Type v} [SmallCategory J] [IsFiltered J] (F : J ⥤ GroupCat.{max v u})
 
 /-- The colimit of `F ⋙ forget₂ Group Mon` in the category `Mon`.
 In the following, we will show that this has the structure of a group.

c43486ec

feat: port Algebra.Category.Group.FilteredColimits (#4274)

ac81fdb4

`algebra.category.Group.filtered_colimits` ⟷ `Mathlib.Algebra.Category.GroupCat.FilteredColimits`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 3 + 286

algebra.category.Group.filtered_colimits ⟷ Mathlib.Algebra.Category.GroupCat.FilteredColimits

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 3 + 286

`algebra.category.Group.filtered_colimits` ⟷ `Mathlib.Algebra.Category.GroupCat.FilteredColimits`