algebra.homology.Module | 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

8af7091a

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -4,8 +4,8 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
 import Algebra.Homology.Homotopy
-import Algebra.Category.Module.Abelian
-import Algebra.Category.Module.Subobject
+import Algebra.Category.ModuleCat.Abelian
+import Algebra.Category.ModuleCat.Subobject
 import CategoryTheory.Limits.ConcreteCategory
 
 #align_import algebra.homology.Module from "leanprover-community/mathlib"@"8af7091a43227e179939ba132e54e54e9f3b089a"

8af7091a

bump to nightly-2024-03-17-08

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

22f01ce4

Diff

@@ -47,7 +47,7 @@ theorem homology'_ext {L M N K : ModuleCat R} {f : L ⟶ M} {g : M ⟶ N} (w : f
     h = k := by
   refine' cokernel_funext fun n => _
   -- Gosh it would be nice if `equiv_rw` could directly use an isomorphism, or an enriched `≃`.
-  equiv_rw (kernel_subobject_iso g ≪≫ ModuleCat.kernelIsoKer g).toLinearEquiv.toEquiv at n 
+  equiv_rw (kernel_subobject_iso g ≪≫ ModuleCat.kernelIsoKer g).toLinearEquiv.toEquiv at n
   convert w n <;> simp [to_kernel_subobject]
 #align Module.homology_ext ModuleCat.homology'_ext
 -/

8af7091a

bump to nightly-2023-10-29-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/3365b20c2ffa7c35e47e5209b89ba9abdddf3ffe

abdd1870

Diff

@@ -34,12 +34,12 @@ variable {ι : Type _} {c : ComplexShape ι} {C D : HomologicalComplex (ModuleCa
 
 namespace ModuleCat
 
-#print ModuleCat.homology_ext /-
+#print ModuleCat.homology'_ext /-
 /-- To prove that two maps out of a homology group are equal,
 it suffices to check they are equal on the images of cycles.
 -/
-theorem homology_ext {L M N K : ModuleCat R} {f : L ⟶ M} {g : M ⟶ N} (w : f ≫ g = 0)
-    {h k : homology f g w ⟶ K}
+theorem homology'_ext {L M N K : ModuleCat R} {f : L ⟶ M} {g : M ⟶ N} (w : f ≫ g = 0)
+    {h k : homology' f g w ⟶ K}
     (w :
       ∀ x : LinearMap.ker g,
         h (cokernel.π (imageToKernel _ _ w) (toKernelSubobject x)) =
@@ -49,61 +49,62 @@ theorem homology_ext {L M N K : ModuleCat R} {f : L ⟶ M} {g : M ⟶ N} (w : f
   -- Gosh it would be nice if `equiv_rw` could directly use an isomorphism, or an enriched `≃`.
   equiv_rw (kernel_subobject_iso g ≪≫ ModuleCat.kernelIsoKer g).toLinearEquiv.toEquiv at n 
   convert w n <;> simp [to_kernel_subobject]
-#align Module.homology_ext ModuleCat.homology_ext
+#align Module.homology_ext ModuleCat.homology'_ext
 -/
 
-#print ModuleCat.toCycles /-
+#print ModuleCat.toCycles' /-
 /-- Bundle an element `C.X i` such that `C.d_from i x = 0` as a term of `C.cycles i`. -/
-abbrev toCycles {C : HomologicalComplex (ModuleCat.{u} R) c} {i : ι}
-    (x : LinearMap.ker (C.dFrom i)) : C.cycles i :=
+abbrev toCycles' {C : HomologicalComplex (ModuleCat.{u} R) c} {i : ι}
+    (x : LinearMap.ker (C.dFrom i)) : C.cycles' i :=
   toKernelSubobject x
-#align Module.to_cycles ModuleCat.toCycles
+#align Module.to_cycles ModuleCat.toCycles'
 -/
 
-#print ModuleCat.cycles_ext /-
+#print ModuleCat.cycles'_ext /-
 @[ext]
-theorem cycles_ext {C : HomologicalComplex (ModuleCat.{u} R) c} {i : ι} {x y : C.cycles i}
-    (w : (C.cycles i).arrow x = (C.cycles i).arrow y) : x = y :=
+theorem cycles'_ext {C : HomologicalComplex (ModuleCat.{u} R) c} {i : ι} {x y : C.cycles' i}
+    (w : (C.cycles' i).arrow x = (C.cycles' i).arrow y) : x = y :=
   by
   apply_fun (C.cycles i).arrow using (ModuleCat.mono_iff_injective _).mp (cycles C i).arrow_mono
   exact w
-#align Module.cycles_ext ModuleCat.cycles_ext
+#align Module.cycles_ext ModuleCat.cycles'_ext
 -/
 
 attribute [local instance] concrete_category.has_coe_to_sort
 
-#print ModuleCat.cyclesMap_toCycles /-
+#print ModuleCat.cycles'Map_toCycles' /-
 @[simp]
-theorem cyclesMap_toCycles (f : C ⟶ D) {i : ι} (x : LinearMap.ker (C.dFrom i)) :
-    (cyclesMap f i) (toCycles x) = toCycles ⟨f.f i x.1, by simp [x.2]⟩ := by ext; simp
-#align Module.cycles_map_to_cycles ModuleCat.cyclesMap_toCycles
+theorem cycles'Map_toCycles' (f : C ⟶ D) {i : ι} (x : LinearMap.ker (C.dFrom i)) :
+    (cycles'Map f i) (toCycles' x) = toCycles' ⟨f.f i x.1, by simp [x.2]⟩ := by ext; simp
+#align Module.cycles_map_to_cycles ModuleCat.cycles'Map_toCycles'
 -/
 
-#print ModuleCat.toHomology /-
+#print ModuleCat.toHomology' /-
 /-- Build a term of `C.homology i` from an element `C.X i` such that `C.d_from i x = 0`. -/
-abbrev toHomology {C : HomologicalComplex (ModuleCat.{u} R) c} {i : ι}
-    (x : LinearMap.ker (C.dFrom i)) : C.homology i :=
-  homology.π (C.dTo i) (C.dFrom i) _ (toCycles x)
-#align Module.to_homology ModuleCat.toHomology
+abbrev toHomology' {C : HomologicalComplex (ModuleCat.{u} R) c} {i : ι}
+    (x : LinearMap.ker (C.dFrom i)) : C.homology' i :=
+  homology'.π (C.dTo i) (C.dFrom i) _ (toCycles' x)
+#align Module.to_homology ModuleCat.toHomology'
 -/
 
-#print ModuleCat.homology_ext' /-
+#print ModuleCat.homology'_ext' /-
 @[ext]
-theorem homology_ext' {M : ModuleCat R} (i : ι) {h k : C.homology i ⟶ M}
-    (w : ∀ x : LinearMap.ker (C.dFrom i), h (toHomology x) = k (toHomology x)) : h = k :=
-  homology_ext _ w
-#align Module.homology_ext' ModuleCat.homology_ext'
+theorem homology'_ext' {M : ModuleCat R} (i : ι) {h k : C.homology' i ⟶ M}
+    (w : ∀ x : LinearMap.ker (C.dFrom i), h (toHomology' x) = k (toHomology' x)) : h = k :=
+  homology'_ext _ w
+#align Module.homology_ext' ModuleCat.homology'_ext'
 -/
 
 /-- We give an alternative proof of `homology_map_eq_of_homotopy`,
 specialized to the setting of `V = Module R`,
 to demonstrate the use of extensionality lemmas for homology in `Module R`. -/
 example (f g : C ⟶ D) (h : Homotopy f g) (i : ι) :
-    (homologyFunctor (ModuleCat.{u} R) c i).map f = (homologyFunctor (ModuleCat.{u} R) c i).map g :=
+    (homology'Functor (ModuleCat.{u} R) c i).map f =
+      (homology'Functor (ModuleCat.{u} R) c i).map g :=
   by
   -- To check that two morphisms out of a homology group agree, it suffices to check on cycles:
   ext
-  simp only [homologyFunctor_map, homology.π_map_apply]
+  simp only [homology'Functor_map, homology'.π_map_apply]
   -- To check that two elements are equal mod boundaries, it suffices to exhibit a boundary:
   ext1
   swap; exact (toPrev i h.hom) x.1

8af7091a

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,10 +3,10 @@ Copyright (c) 2021 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.Algebra.Homology.Homotopy
-import Mathbin.Algebra.Category.Module.Abelian
-import Mathbin.Algebra.Category.Module.Subobject
-import Mathbin.CategoryTheory.Limits.ConcreteCategory
+import Algebra.Homology.Homotopy
+import Algebra.Category.Module.Abelian
+import Algebra.Category.Module.Subobject
+import CategoryTheory.Limits.ConcreteCategory
 
 #align_import algebra.homology.Module from "leanprover-community/mathlib"@"8af7091a43227e179939ba132e54e54e9f3b089a"

8af7091a

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,17 +2,14 @@
 Copyright (c) 2021 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module algebra.homology.Module
-! leanprover-community/mathlib commit 8af7091a43227e179939ba132e54e54e9f3b089a
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Homology.Homotopy
 import Mathbin.Algebra.Category.Module.Abelian
 import Mathbin.Algebra.Category.Module.Subobject
 import Mathbin.CategoryTheory.Limits.ConcreteCategory
 
+#align_import algebra.homology.Module from "leanprover-community/mathlib"@"8af7091a43227e179939ba132e54e54e9f3b089a"
+
 /-!
 # Complexes of modules

8af7091a

bump to nightly-2023-06-18-23

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

3b5e23dc

Diff

@@ -37,6 +37,7 @@ variable {ι : Type _} {c : ComplexShape ι} {C D : HomologicalComplex (ModuleCa
 
 namespace ModuleCat
 
+#print ModuleCat.homology_ext /-
 /-- To prove that two maps out of a homology group are equal,
 it suffices to check they are equal on the images of cycles.
 -/
@@ -52,13 +53,17 @@ theorem homology_ext {L M N K : ModuleCat R} {f : L ⟶ M} {g : M ⟶ N} (w : f
   equiv_rw (kernel_subobject_iso g ≪≫ ModuleCat.kernelIsoKer g).toLinearEquiv.toEquiv at n 
   convert w n <;> simp [to_kernel_subobject]
 #align Module.homology_ext ModuleCat.homology_ext
+-/
 
+#print ModuleCat.toCycles /-
 /-- Bundle an element `C.X i` such that `C.d_from i x = 0` as a term of `C.cycles i`. -/
 abbrev toCycles {C : HomologicalComplex (ModuleCat.{u} R) c} {i : ι}
     (x : LinearMap.ker (C.dFrom i)) : C.cycles i :=
   toKernelSubobject x
 #align Module.to_cycles ModuleCat.toCycles
+-/
 
+#print ModuleCat.cycles_ext /-
 @[ext]
 theorem cycles_ext {C : HomologicalComplex (ModuleCat.{u} R) c} {i : ι} {x y : C.cycles i}
     (w : (C.cycles i).arrow x = (C.cycles i).arrow y) : x = y :=
@@ -66,25 +71,32 @@ theorem cycles_ext {C : HomologicalComplex (ModuleCat.{u} R) c} {i : ι} {x y :
   apply_fun (C.cycles i).arrow using (ModuleCat.mono_iff_injective _).mp (cycles C i).arrow_mono
   exact w
 #align Module.cycles_ext ModuleCat.cycles_ext
+-/
 
 attribute [local instance] concrete_category.has_coe_to_sort
 
+#print ModuleCat.cyclesMap_toCycles /-
 @[simp]
 theorem cyclesMap_toCycles (f : C ⟶ D) {i : ι} (x : LinearMap.ker (C.dFrom i)) :
     (cyclesMap f i) (toCycles x) = toCycles ⟨f.f i x.1, by simp [x.2]⟩ := by ext; simp
 #align Module.cycles_map_to_cycles ModuleCat.cyclesMap_toCycles
+-/
 
+#print ModuleCat.toHomology /-
 /-- Build a term of `C.homology i` from an element `C.X i` such that `C.d_from i x = 0`. -/
 abbrev toHomology {C : HomologicalComplex (ModuleCat.{u} R) c} {i : ι}
     (x : LinearMap.ker (C.dFrom i)) : C.homology i :=
   homology.π (C.dTo i) (C.dFrom i) _ (toCycles x)
 #align Module.to_homology ModuleCat.toHomology
+-/
 
+#print ModuleCat.homology_ext' /-
 @[ext]
 theorem homology_ext' {M : ModuleCat R} (i : ι) {h k : C.homology i ⟶ M}
     (w : ∀ x : LinearMap.ker (C.dFrom i), h (toHomology x) = k (toHomology x)) : h = k :=
   homology_ext _ w
 #align Module.homology_ext' ModuleCat.homology_ext'
+-/
 
 /-- We give an alternative proof of `homology_map_eq_of_homotopy`,
 specialized to the setting of `V = Module R`,

8af7091a

bump to nightly-2023-06-16-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/bf9bbbcf0c1c1ead18280b0d010e417b10abb1b6

39cf1563

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 
 ! This file was ported from Lean 3 source module algebra.homology.Module
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
+! leanprover-community/mathlib commit 8af7091a43227e179939ba132e54e54e9f3b089a
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.CategoryTheory.Limits.ConcreteCategory
 /-!
 # Complexes of modules
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We provide some additional API to work with homological complexes in `Module R`.
 -/

70fd9563

bump to nightly-2023-06-04-18

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

3fb4268b

Diff

@@ -46,7 +46,7 @@ theorem homology_ext {L M N K : ModuleCat R} {f : L ⟶ M} {g : M ⟶ N} (w : f
     h = k := by
   refine' cokernel_funext fun n => _
   -- Gosh it would be nice if `equiv_rw` could directly use an isomorphism, or an enriched `≃`.
-  equiv_rw(kernel_subobject_iso g ≪≫ ModuleCat.kernelIsoKer g).toLinearEquiv.toEquiv  at n 
+  equiv_rw (kernel_subobject_iso g ≪≫ ModuleCat.kernelIsoKer g).toLinearEquiv.toEquiv at n 
   convert w n <;> simp [to_kernel_subobject]
 #align Module.homology_ext ModuleCat.homology_ext

70fd9563

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -46,7 +46,7 @@ theorem homology_ext {L M N K : ModuleCat R} {f : L ⟶ M} {g : M ⟶ N} (w : f
     h = k := by
   refine' cokernel_funext fun n => _
   -- Gosh it would be nice if `equiv_rw` could directly use an isomorphism, or an enriched `≃`.
-  equiv_rw(kernel_subobject_iso g ≪≫ ModuleCat.kernelIsoKer g).toLinearEquiv.toEquiv  at n
+  equiv_rw(kernel_subobject_iso g ≪≫ ModuleCat.kernelIsoKer g).toLinearEquiv.toEquiv  at n 
   convert w n <;> simp [to_kernel_subobject]
 #align Module.homology_ext ModuleCat.homology_ext

70fd9563

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -22,7 +22,7 @@ We provide some additional API to work with homological complexes in `Module R`.
 
 universe v u
 
-open Classical
+open scoped Classical
 
 noncomputable section

70fd9563

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -68,10 +68,7 @@ attribute [local instance] concrete_category.has_coe_to_sort
 
 @[simp]
 theorem cyclesMap_toCycles (f : C ⟶ D) {i : ι} (x : LinearMap.ker (C.dFrom i)) :
-    (cyclesMap f i) (toCycles x) = toCycles ⟨f.f i x.1, by simp [x.2]⟩ :=
-  by
-  ext
-  simp
+    (cyclesMap f i) (toCycles x) = toCycles ⟨f.f i x.1, by simp [x.2]⟩ := by ext; simp
 #align Module.cycles_map_to_cycles ModuleCat.cyclesMap_toCycles
 
 /-- Build a term of `C.homology i` from an element `C.X i` such that `C.d_from i x = 0`. -/

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

feat(Algebra/Category/ModuleCat): the category of presheaves of modules has limits (#12264)

Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com> Co-authored-by: Christian Merten <christian@merten.dev>

5d9cf93c

Diff

@@ -34,7 +34,7 @@ namespace ModuleCat
 /-- To prove that two maps out of a homology group are equal,
 it suffices to check they are equal on the images of cycles.
 -/
-theorem homology'_ext {L M N K : ModuleCat R} {f : L ⟶ M} {g : M ⟶ N} (w : f ≫ g = 0)
+theorem homology'_ext {L M N K : ModuleCat.{u} R} {f : L ⟶ M} {g : M ⟶ N} (w : f ≫ g = 0)
     {h k : homology' f g w ⟶ K}
     (w :
       ∀ x : LinearMap.ker g,
@@ -89,8 +89,8 @@ set_option linter.uppercaseLean3 false in
 
 @[ext]
 theorem homology'_ext' {M : ModuleCat R} (i : ι) {h k : C.homology' i ⟶ M}
-    (w : ∀ x : LinearMap.ker (C.dFrom i), h (toHomology' x) = k (toHomology' x)) : h = k :=
-  homology'_ext _ w
+    (w : ∀ x : LinearMap.ker (C.dFrom i), h (toHomology' x) = k (toHomology' x)) : h = k := by
+  apply homology'_ext _ w
 set_option linter.uppercaseLean3 false in
 #align Module.homology_ext' ModuleCat.homology'_ext'

70fd9563

doc(Algebra,AlgebraicGeometry): remove mathlib3 names in doc comments (#11955)

Mostly automatic, with a few manual corrections.

11516514

Diff

@@ -96,7 +96,7 @@ set_option linter.uppercaseLean3 false in
 
 -- Porting note: `erw` had to be used instead of `simp`
 -- see https://github.com/leanprover-community/mathlib4/issues/5026
-/-- We give an alternative proof of `homology_map_eq_of_homotopy`,
+/-- We give an alternative proof of `homology'_map_eq_of_homotopy`,
 specialized to the setting of `V = Module R`,
 to demonstrate the use of extensionality lemmas for homology in `Module R`. -/
 example (f g : C ⟶ D) (h : Homotopy f g) (i : ι) :

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

@@ -27,7 +27,6 @@ noncomputable section
 open CategoryTheory Limits HomologicalComplex
 
 variable {R : Type v} [Ring R]
-
 variable {ι : Type*} {c : ComplexShape ι} {C D : HomologicalComplex (ModuleCat.{u} R) c}
 
 namespace ModuleCat

70fd9563

style: homogenise porting notes (#11145)

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

converts "--porting note" into "-- Porting note";
converts "porting note" into "Porting note".

8be0b69c

Diff

@@ -43,7 +43,7 @@ theorem homology'_ext {L M N K : ModuleCat R} {f : L ⟶ M} {g : M ⟶ N} (w : f
           k (cokernel.π (imageToKernel _ _ w) (toKernelSubobject x))) :
     h = k := by
   refine' Concrete.cokernel_funext fun n => _
-  -- porting note: as `equiv_rw` was not ported, it was replaced by `Equiv.surjective`
+  -- Porting note: as `equiv_rw` was not ported, it was replaced by `Equiv.surjective`
   -- Gosh it would be nice if `equiv_rw` could directly use an isomorphism, or an enriched `≃`.
   obtain ⟨n, rfl⟩ := (kernelSubobjectIso g ≪≫
     ModuleCat.kernelIsoKer g).toLinearEquiv.toEquiv.symm.surjective n
@@ -67,7 +67,7 @@ theorem cycles'_ext {C : HomologicalComplex (ModuleCat.{u} R) c} {i : ι}
 set_option linter.uppercaseLean3 false in
 #align Module.cycles_ext ModuleCat.cycles'_ext
 
--- porting note: both proofs by `rw` were proofs by `simp` which no longer worked
+-- Porting note: both proofs by `rw` were proofs by `simp` which no longer worked
 -- see https://github.com/leanprover-community/mathlib4/issues/5026
 @[simp]
 theorem cycles'Map_toCycles' (f : C ⟶ D) {i : ι} (x : LinearMap.ker (C.dFrom i)) :
@@ -95,7 +95,7 @@ theorem homology'_ext' {M : ModuleCat R} (i : ι) {h k : C.homology' i ⟶ M}
 set_option linter.uppercaseLean3 false in
 #align Module.homology_ext' ModuleCat.homology'_ext'
 
--- porting note: `erw` had to be used instead of `simp`
+-- Porting note: `erw` had to be used instead of `simp`
 -- see https://github.com/leanprover-community/mathlib4/issues/5026
 /-- We give an alternative proof of `homology_map_eq_of_homotopy`,
 specialized to the setting of `V = Module R`,

70fd9563

feat(CategoryTheory): description of products and pullbacks in concrete categories (#8507)

Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>

e9d46c6c

Diff

@@ -6,7 +6,7 @@ Authors: Scott Morrison
 import Mathlib.Algebra.Homology.Homotopy
 import Mathlib.Algebra.Category.ModuleCat.Abelian
 import Mathlib.Algebra.Category.ModuleCat.Subobject
-import Mathlib.CategoryTheory.Limits.ConcreteCategory
+import Mathlib.CategoryTheory.Limits.Shapes.ConcreteCategory
 
 #align_import algebra.homology.Module from "leanprover-community/mathlib"@"70fd9563a21e7b963887c9360bd29b2393e6225a"
 
@@ -42,7 +42,7 @@ theorem homology'_ext {L M N K : ModuleCat R} {f : L ⟶ M} {g : M ⟶ N} (w : f
         h (cokernel.π (imageToKernel _ _ w) (toKernelSubobject x)) =
           k (cokernel.π (imageToKernel _ _ w) (toKernelSubobject x))) :
     h = k := by
-  refine' cokernel_funext fun n => _
+  refine' Concrete.cokernel_funext fun n => _
   -- porting note: as `equiv_rw` was not ported, it was replaced by `Equiv.surjective`
   -- Gosh it would be nice if `equiv_rw` could directly use an isomorphism, or an enriched `≃`.
   obtain ⟨n, rfl⟩ := (kernelSubobjectIso g ≪≫

70fd9563

perf(FunLike.Basic): beta reduce CoeFun.coe (#7905)

This eliminates (fun a ↦ β) α in the type when applying a FunLike.

Co-authored-by: Matthew Ballard <matt@mrb.email> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

e194c756

Diff

@@ -120,9 +120,8 @@ example (f g : C ⟶ D) (h : Homotopy f g) (i : ι) :
   erw [LinearMap.add_apply]
   rw [LinearMap.add_apply, prevD_eq_toPrev_dTo, dNext_eq_dFrom_fromNext]
   -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
-  erw [comp_apply, comp_apply, comp_apply]
+  erw [comp_apply, comp_apply]
   erw [x.2, map_zero]
-  dsimp
   abel
 
 end ModuleCat

70fd9563

refactor: introduce the new homology API for homological complex and rename the old one (#7954)

This PR renames definitions of the current homology API (adding a ' to homology, cycles, QuasiIso) so as to create space for the development of the new homology API of homological complexes: this PR also contains the new definition of HomologicalComplex.homology which involves the homology theory of short complexes.

Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>

c5fe4511

Diff

@@ -35,8 +35,8 @@ namespace ModuleCat
 /-- To prove that two maps out of a homology group are equal,
 it suffices to check they are equal on the images of cycles.
 -/
-theorem homology_ext {L M N K : ModuleCat R} {f : L ⟶ M} {g : M ⟶ N} (w : f ≫ g = 0)
-    {h k : homology f g w ⟶ K}
+theorem homology'_ext {L M N K : ModuleCat R} {f : L ⟶ M} {g : M ⟶ N} (w : f ≫ g = 0)
+    {h k : homology' f g w ⟶ K}
     (w :
       ∀ x : LinearMap.ker g,
         h (cokernel.π (imageToKernel _ _ w) (toKernelSubobject x)) =
@@ -49,51 +49,51 @@ theorem homology_ext {L M N K : ModuleCat R} {f : L ⟶ M} {g : M ⟶ N} (w : f
     ModuleCat.kernelIsoKer g).toLinearEquiv.toEquiv.symm.surjective n
   exact w n
 set_option linter.uppercaseLean3 false in
-#align Module.homology_ext ModuleCat.homology_ext
+#align Module.homology_ext ModuleCat.homology'_ext
 
 /-- Bundle an element `C.X i` such that `C.dFrom i x = 0` as a term of `C.cycles i`. -/
-abbrev toCycles {C : HomologicalComplex (ModuleCat.{u} R) c} {i : ι}
-    (x : LinearMap.ker (C.dFrom i)) : (C.cycles i : Type u) :=
+abbrev toCycles' {C : HomologicalComplex (ModuleCat.{u} R) c} {i : ι}
+    (x : LinearMap.ker (C.dFrom i)) : (C.cycles' i : Type u) :=
   toKernelSubobject x
 set_option linter.uppercaseLean3 false in
-#align Module.to_cycles ModuleCat.toCycles
+#align Module.to_cycles ModuleCat.toCycles'
 
 @[ext]
-theorem cycles_ext {C : HomologicalComplex (ModuleCat.{u} R) c} {i : ι}
-    {x y : (C.cycles i : Type u)}
-    (w : (C.cycles i).arrow x = (C.cycles i).arrow y) : x = y := by
-  apply_fun (C.cycles i).arrow using (ModuleCat.mono_iff_injective _).mp (cycles C i).arrow_mono
+theorem cycles'_ext {C : HomologicalComplex (ModuleCat.{u} R) c} {i : ι}
+    {x y : (C.cycles' i : Type u)}
+    (w : (C.cycles' i).arrow x = (C.cycles' i).arrow y) : x = y := by
+  apply_fun (C.cycles' i).arrow using (ModuleCat.mono_iff_injective _).mp (cycles' C i).arrow_mono
   exact w
 set_option linter.uppercaseLean3 false in
-#align Module.cycles_ext ModuleCat.cycles_ext
+#align Module.cycles_ext ModuleCat.cycles'_ext
 
 -- porting note: both proofs by `rw` were proofs by `simp` which no longer worked
 -- see https://github.com/leanprover-community/mathlib4/issues/5026
 @[simp]
-theorem cyclesMap_toCycles (f : C ⟶ D) {i : ι} (x : LinearMap.ker (C.dFrom i)) :
-    (cyclesMap f i) (toCycles x) = toCycles ⟨f.f i x.1, by
+theorem cycles'Map_toCycles' (f : C ⟶ D) {i : ι} (x : LinearMap.ker (C.dFrom i)) :
+    (cycles'Map f i) (toCycles' x) = toCycles' ⟨f.f i x.1, by
       -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
       rw [LinearMap.mem_ker]; erw [Hom.comm_from_apply, x.2, map_zero]⟩ := by
   ext
   -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
-  erw [cyclesMap_arrow_apply, toKernelSubobject_arrow, toKernelSubobject_arrow]
+  erw [cycles'Map_arrow_apply, toKernelSubobject_arrow, toKernelSubobject_arrow]
   rfl
 set_option linter.uppercaseLean3 false in
-#align Module.cycles_map_to_cycles ModuleCat.cyclesMap_toCycles
+#align Module.cycles_map_to_cycles ModuleCat.cycles'Map_toCycles'
 
 /-- Build a term of `C.homology i` from an element `C.X i` such that `C.d_from i x = 0`. -/
-abbrev toHomology {C : HomologicalComplex (ModuleCat.{u} R) c} {i : ι}
-    (x : LinearMap.ker (C.dFrom i)) : C.homology i :=
-  homology.π (C.dTo i) (C.dFrom i) _ (toCycles x)
+abbrev toHomology' {C : HomologicalComplex (ModuleCat.{u} R) c} {i : ι}
+    (x : LinearMap.ker (C.dFrom i)) : C.homology' i :=
+  homology'.π (C.dTo i) (C.dFrom i) _ (toCycles' x)
 set_option linter.uppercaseLean3 false in
-#align Module.to_homology ModuleCat.toHomology
+#align Module.to_homology ModuleCat.toHomology'
 
 @[ext]
-theorem homology_ext' {M : ModuleCat R} (i : ι) {h k : C.homology i ⟶ M}
-    (w : ∀ x : LinearMap.ker (C.dFrom i), h (toHomology x) = k (toHomology x)) : h = k :=
-  homology_ext _ w
+theorem homology'_ext' {M : ModuleCat R} (i : ι) {h k : C.homology' i ⟶ M}
+    (w : ∀ x : LinearMap.ker (C.dFrom i), h (toHomology' x) = k (toHomology' x)) : h = k :=
+  homology'_ext _ w
 set_option linter.uppercaseLean3 false in
-#align Module.homology_ext' ModuleCat.homology_ext'
+#align Module.homology_ext' ModuleCat.homology'_ext'
 
 -- porting note: `erw` had to be used instead of `simp`
 -- see https://github.com/leanprover-community/mathlib4/issues/5026
@@ -101,13 +101,13 @@ set_option linter.uppercaseLean3 false in
 specialized to the setting of `V = Module R`,
 to demonstrate the use of extensionality lemmas for homology in `Module R`. -/
 example (f g : C ⟶ D) (h : Homotopy f g) (i : ι) :
-    (homologyFunctor (ModuleCat.{u} R) c i).map f =
-      (homologyFunctor (ModuleCat.{u} R) c i).map g := by
+    (homology'Functor (ModuleCat.{u} R) c i).map f =
+      (homology'Functor (ModuleCat.{u} R) c i).map g := by
   -- To check that two morphisms out of a homology group agree, it suffices to check on cycles:
-  apply homology_ext
+  apply homology'_ext
   intro x
-  simp only [homologyFunctor_map]
-  erw [homology.π_map_apply, homology.π_map_apply]
+  simp only [homology'Functor_map]
+  erw [homology'.π_map_apply, homology'.π_map_apply]
   -- To check that two elements are equal mod boundaries, it suffices to exhibit a boundary:
   refine' cokernel_π_imageSubobject_ext _ _ ((toPrev i h.hom) x.1) _
   -- Moreover, to check that two cycles are equal, it suffices to check their underlying elements:

70fd9563

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

This reverts commit f3695eb2.

ab56fa28

Diff

@@ -72,9 +72,12 @@ set_option linter.uppercaseLean3 false in
 @[simp]
 theorem cyclesMap_toCycles (f : C ⟶ D) {i : ι} (x : LinearMap.ker (C.dFrom i)) :
     (cyclesMap f i) (toCycles x) = toCycles ⟨f.f i x.1, by
-      rw [LinearMap.mem_ker, Hom.comm_from_apply, x.2, map_zero]⟩ := by
+      -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
+      rw [LinearMap.mem_ker]; erw [Hom.comm_from_apply, x.2, map_zero]⟩ := by
   ext
-  rw [cyclesMap_arrow_apply, toKernelSubobject_arrow, toKernelSubobject_arrow]
+  -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
+  erw [cyclesMap_arrow_apply, toKernelSubobject_arrow, toKernelSubobject_arrow]
+  rfl
 set_option linter.uppercaseLean3 false in
 #align Module.cycles_map_to_cycles ModuleCat.cyclesMap_toCycles
 
@@ -112,9 +115,13 @@ example (f g : C ⟶ D) (h : Homotopy f g) (i : ι) :
   erw [map_add, CategoryTheory.Limits.kernelSubobjectMap_arrow_apply,
     CategoryTheory.Limits.kernelSubobjectMap_arrow_apply,
     ModuleCat.toKernelSubobject_arrow, imageToKernel_arrow_apply, imageSubobject_arrow_comp_apply]
-  rw [Hom.sqFrom_left, Hom.sqFrom_left, h.comm i, LinearMap.add_apply,
-    LinearMap.add_apply, prevD_eq_toPrev_dTo, dNext_eq_dFrom_fromNext, comp_apply, comp_apply,
-    x.2, map_zero]
+  rw [Hom.sqFrom_left, Hom.sqFrom_left, h.comm i]
+  -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
+  erw [LinearMap.add_apply]
+  rw [LinearMap.add_apply, prevD_eq_toPrev_dTo, dNext_eq_dFrom_fromNext]
+  -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
+  erw [comp_apply, comp_apply, comp_apply]
+  erw [x.2, map_zero]
   dsimp
   abel

70fd9563

chore: revert #7703 (#7710)

This reverts commit 26eb2b0a.

f3695eb2

Diff

@@ -72,12 +72,9 @@ set_option linter.uppercaseLean3 false in
 @[simp]
 theorem cyclesMap_toCycles (f : C ⟶ D) {i : ι} (x : LinearMap.ker (C.dFrom i)) :
     (cyclesMap f i) (toCycles x) = toCycles ⟨f.f i x.1, by
-      -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
-      rw [LinearMap.mem_ker]; erw [Hom.comm_from_apply, x.2, map_zero]⟩ := by
+      rw [LinearMap.mem_ker, Hom.comm_from_apply, x.2, map_zero]⟩ := by
   ext
-  -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
-  erw [cyclesMap_arrow_apply, toKernelSubobject_arrow, toKernelSubobject_arrow]
-  rfl
+  rw [cyclesMap_arrow_apply, toKernelSubobject_arrow, toKernelSubobject_arrow]
 set_option linter.uppercaseLean3 false in
 #align Module.cycles_map_to_cycles ModuleCat.cyclesMap_toCycles
 
@@ -115,13 +112,9 @@ example (f g : C ⟶ D) (h : Homotopy f g) (i : ι) :
   erw [map_add, CategoryTheory.Limits.kernelSubobjectMap_arrow_apply,
     CategoryTheory.Limits.kernelSubobjectMap_arrow_apply,
     ModuleCat.toKernelSubobject_arrow, imageToKernel_arrow_apply, imageSubobject_arrow_comp_apply]
-  rw [Hom.sqFrom_left, Hom.sqFrom_left, h.comm i]
-  -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
-  erw [LinearMap.add_apply]
-  rw [LinearMap.add_apply, prevD_eq_toPrev_dTo, dNext_eq_dFrom_fromNext]
-  -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
-  erw [comp_apply, comp_apply, comp_apply]
-  erw [x.2, map_zero]
+  rw [Hom.sqFrom_left, Hom.sqFrom_left, h.comm i, LinearMap.add_apply,
+    LinearMap.add_apply, prevD_eq_toPrev_dTo, dNext_eq_dFrom_fromNext, comp_apply, comp_apply,
+    x.2, map_zero]
   dsimp
   abel

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

@@ -72,9 +72,12 @@ set_option linter.uppercaseLean3 false in
 @[simp]
 theorem cyclesMap_toCycles (f : C ⟶ D) {i : ι} (x : LinearMap.ker (C.dFrom i)) :
     (cyclesMap f i) (toCycles x) = toCycles ⟨f.f i x.1, by
-      rw [LinearMap.mem_ker, Hom.comm_from_apply, x.2, map_zero]⟩ := by
+      -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
+      rw [LinearMap.mem_ker]; erw [Hom.comm_from_apply, x.2, map_zero]⟩ := by
   ext
-  rw [cyclesMap_arrow_apply, toKernelSubobject_arrow, toKernelSubobject_arrow]
+  -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
+  erw [cyclesMap_arrow_apply, toKernelSubobject_arrow, toKernelSubobject_arrow]
+  rfl
 set_option linter.uppercaseLean3 false in
 #align Module.cycles_map_to_cycles ModuleCat.cyclesMap_toCycles
 
@@ -112,9 +115,13 @@ example (f g : C ⟶ D) (h : Homotopy f g) (i : ι) :
   erw [map_add, CategoryTheory.Limits.kernelSubobjectMap_arrow_apply,
     CategoryTheory.Limits.kernelSubobjectMap_arrow_apply,
     ModuleCat.toKernelSubobject_arrow, imageToKernel_arrow_apply, imageSubobject_arrow_comp_apply]
-  rw [Hom.sqFrom_left, Hom.sqFrom_left, h.comm i, LinearMap.add_apply,
-    LinearMap.add_apply, prevD_eq_toPrev_dTo, dNext_eq_dFrom_fromNext, comp_apply, comp_apply,
-    x.2, map_zero]
+  rw [Hom.sqFrom_left, Hom.sqFrom_left, h.comm i]
+  -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
+  erw [LinearMap.add_apply]
+  rw [LinearMap.add_apply, prevD_eq_toPrev_dTo, dNext_eq_dFrom_fromNext]
+  -- This used to be `rw`, but we need `erw` after leanprover/lean4#2644
+  erw [comp_apply, comp_apply, comp_apply]
+  erw [x.2, map_zero]
   dsimp
   abel

70fd9563

chore: update/remove heart beat bumps (#6860)

We clean up heart beat bumps after #6474.

c95f05bd

Diff

@@ -92,7 +92,6 @@ theorem homology_ext' {M : ModuleCat R} (i : ι) {h k : C.homology i ⟶ M}
 set_option linter.uppercaseLean3 false in
 #align Module.homology_ext' ModuleCat.homology_ext'
 
-set_option maxHeartbeats 400000 in
 -- porting note: `erw` had to be used instead of `simp`
 -- see https://github.com/leanprover-community/mathlib4/issues/5026
 /-- We give an alternative proof of `homology_map_eq_of_homotopy`,

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

@@ -28,7 +28,7 @@ open CategoryTheory Limits HomologicalComplex
 
 variable {R : Type v} [Ring R]
 
-variable {ι : Type _} {c : ComplexShape ι} {C D : HomologicalComplex (ModuleCat.{u} R) c}
+variable {ι : Type*} {c : ComplexShape ι} {C D : HomologicalComplex (ModuleCat.{u} R) c}
 
 namespace ModuleCat

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

@@ -2,17 +2,14 @@
 Copyright (c) 2021 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module algebra.homology.Module
-! 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.Homology.Homotopy
 import Mathlib.Algebra.Category.ModuleCat.Abelian
 import Mathlib.Algebra.Category.ModuleCat.Subobject
 import Mathlib.CategoryTheory.Limits.ConcreteCategory
 
+#align_import algebra.homology.Module from "leanprover-community/mathlib"@"70fd9563a21e7b963887c9360bd29b2393e6225a"
+
 /-!
 # Complexes of modules

70fd9563

feat: CompletelyDistribLattice (#5238)

Adds new CompletelyDistribLattice/CompleteAtomicBooleanAlgebra classes for complete lattices / complete atomic Boolean algebras that are also completely distributive, and removes the misleading claim that CompleteDistribLattice/CompleteBooleanAlgebra are completely distributive.

Product/pi/order dual instances for completely distributive lattices, etc.
Every complete linear order is a completely distributive lattice.
Every atomic complete Boolean algebra is a complete atomic Boolean algebra.
Every complete atomic Boolean algebra is indeed (co)atom(ist)ic.
Atom(ist)ic orders are closed under pis.
All existing types with CompleteDistribLattice instances are upgraded to CompletelyDistribLattice.
All existing types with CompleteBooleanAlgebra instances are upgraded to CompleteAtomicBooleanAlgebra.

See related discussion on Zulip.

6dfe3d46

Diff

@@ -95,6 +95,7 @@ theorem homology_ext' {M : ModuleCat R} (i : ι) {h k : C.homology i ⟶ M}
 set_option linter.uppercaseLean3 false in
 #align Module.homology_ext' ModuleCat.homology_ext'
 
+set_option maxHeartbeats 400000 in
 -- porting note: `erw` had to be used instead of `simp`
 -- see https://github.com/leanprover-community/mathlib4/issues/5026
 /-- We give an alternative proof of `homology_map_eq_of_homotopy`,

70fd9563

feat: port Algebra.Category.FGModule.basic (#4878)

Sets new records for set_option maxHeartbeats. :-( I spent too long struggling with this one; if anyone would like to take another look please do.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

37805e22

Diff

@@ -117,7 +117,8 @@ example (f g : C ⟶ D) (h : Homotopy f g) (i : ι) :
     ModuleCat.toKernelSubobject_arrow, imageToKernel_arrow_apply, imageSubobject_arrow_comp_apply]
   rw [Hom.sqFrom_left, Hom.sqFrom_left, h.comm i, LinearMap.add_apply,
     LinearMap.add_apply, prevD_eq_toPrev_dTo, dNext_eq_dFrom_fromNext, comp_apply, comp_apply,
-    x.2, map_zero, zero_add]
+    x.2, map_zero]
+  dsimp
   abel
 
 end ModuleCat

70fd9563

feat: port Algebra.Homology.Module (#5000)

Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>

d8c9d310

`algebra.homology.Module` ⟷ `Mathlib.Algebra.Homology.ModuleCat`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 662

algebra.homology.Module ⟷ Mathlib.Algebra.Homology.ModuleCat

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 662

`algebra.homology.Module` ⟷ `Mathlib.Algebra.Homology.ModuleCat`