category_theory.abelian.imagesMathlib.CategoryTheory.Abelian.Images

This file has been ported!

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

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -3,7 +3,7 @@ Copyright (c) 2020 Markus Himmel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Markus Himmel, Scott Morrison
 -/
-import Mathbin.CategoryTheory.Limits.Shapes.Kernels
+import CategoryTheory.Limits.Shapes.Kernels
 
 #align_import category_theory.abelian.images from "leanprover-community/mathlib"@"69c6a5a12d8a2b159f20933e60115a4f2de62b58"
 
Diff
@@ -2,14 +2,11 @@
 Copyright (c) 2020 Markus Himmel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Markus Himmel, Scott Morrison
-
-! This file was ported from Lean 3 source module category_theory.abelian.images
-! leanprover-community/mathlib commit 69c6a5a12d8a2b159f20933e60115a4f2de62b58
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Limits.Shapes.Kernels
 
+#align_import category_theory.abelian.images from "leanprover-community/mathlib"@"69c6a5a12d8a2b159f20933e60115a4f2de62b58"
+
 /-!
 # The abelian image and coimage.
 
Diff
@@ -131,10 +131,7 @@ in which this is always an isomorphism, is abelian.
 See <https://stacks.math.columbia.edu/tag/0107>
 -/
 def coimageImageComparison : Abelian.coimage f ⟶ Abelian.image f :=
-  cokernel.desc (kernel.ι f) (kernel.lift (cokernel.π f) f (by simp)) <|
-    by
-    ext
-    simp
+  cokernel.desc (kernel.ι f) (kernel.lift (cokernel.π f) f (by simp)) <| by ext; simp
 #align category_theory.abelian.coimage_image_comparison CategoryTheory.Abelian.coimageImageComparison
 -/
 
@@ -142,18 +139,13 @@ def coimageImageComparison : Abelian.coimage f ⟶ Abelian.image f :=
 /-- An alternative formulation of the canonical map from the abelian coimage to the abelian image.
 -/
 def coimageImageComparison' : Abelian.coimage f ⟶ Abelian.image f :=
-  kernel.lift (cokernel.π f) (cokernel.desc (kernel.ι f) f (by simp))
-    (by
-      ext
-      simp)
+  kernel.lift (cokernel.π f) (cokernel.desc (kernel.ι f) f (by simp)) (by ext; simp)
 #align category_theory.abelian.coimage_image_comparison' CategoryTheory.Abelian.coimageImageComparison'
 -/
 
 #print CategoryTheory.Abelian.coimageImageComparison_eq_coimageImageComparison' /-
 theorem coimageImageComparison_eq_coimageImageComparison' :
-    coimageImageComparison f = coimageImageComparison' f :=
-  by
-  ext
+    coimageImageComparison f = coimageImageComparison' f := by ext;
   simp [coimage_image_comparison, coimage_image_comparison']
 #align category_theory.abelian.coimage_image_comparison_eq_coimage_image_comparison' CategoryTheory.Abelian.coimageImageComparison_eq_coimageImageComparison'
 -/
Diff
@@ -69,7 +69,7 @@ protected abbrev factorThruImage : P ⟶ Abelian.image f :=
 
 #print CategoryTheory.Abelian.image.fac /-
 /-- `f` factors through its image via the canonical morphism `p`. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 protected theorem image.fac : Abelian.factorThruImage f ≫ image.ι f = f :=
   kernel.lift_ι _ _ _
 #align category_theory.abelian.image.fac CategoryTheory.Abelian.image.fac
@@ -159,7 +159,7 @@ theorem coimageImageComparison_eq_coimageImageComparison' :
 -/
 
 #print CategoryTheory.Abelian.coimage_image_factorisation /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem coimage_image_factorisation : coimage.π f ≫ coimageImageComparison f ≫ image.ι f = f := by
   simp [coimage_image_comparison]
 #align category_theory.abelian.coimage_image_factorisation CategoryTheory.Abelian.coimage_image_factorisation
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Markus Himmel, Scott Morrison
 
 ! This file was ported from Lean 3 source module category_theory.abelian.images
-! leanprover-community/mathlib commit 9e7c80f638149bfb3504ba8ff48dfdbfc949fb1a
+! leanprover-community/mathlib commit 69c6a5a12d8a2b159f20933e60115a4f2de62b58
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.CategoryTheory.Limits.Shapes.Kernels
 /-!
 # The abelian image and coimage.
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In an abelian category we usually want the image of a morphism `f` to be defined as
 `kernel (cokernel.π f)`, and the coimage to be defined as `cokernel (kernel.ι f)`.
 
Diff
@@ -43,61 +43,82 @@ variable {P Q : C} (f : P ⟶ Q)
 
 section Image
 
+#print CategoryTheory.Abelian.image /-
 /-- The kernel of the cokernel of `f` is called the (abelian) image of `f`. -/
 protected abbrev image : C :=
   kernel (cokernel.π f)
 #align category_theory.abelian.image CategoryTheory.Abelian.image
+-/
 
+#print CategoryTheory.Abelian.image.ι /-
 /-- The inclusion of the image into the codomain. -/
 protected abbrev image.ι : Abelian.image f ⟶ Q :=
   kernel.ι (cokernel.π f)
 #align category_theory.abelian.image.ι CategoryTheory.Abelian.image.ι
+-/
 
+#print CategoryTheory.Abelian.factorThruImage /-
 /-- There is a canonical epimorphism `p : P ⟶ image f` for every `f`. -/
 protected abbrev factorThruImage : P ⟶ Abelian.image f :=
   kernel.lift (cokernel.π f) f <| cokernel.condition f
 #align category_theory.abelian.factor_thru_image CategoryTheory.Abelian.factorThruImage
+-/
 
+#print CategoryTheory.Abelian.image.fac /-
 /-- `f` factors through its image via the canonical morphism `p`. -/
 @[simp, reassoc.1]
 protected theorem image.fac : Abelian.factorThruImage f ≫ image.ι f = f :=
   kernel.lift_ι _ _ _
 #align category_theory.abelian.image.fac CategoryTheory.Abelian.image.fac
+-/
 
+#print CategoryTheory.Abelian.mono_factorThruImage /-
 instance mono_factorThruImage [Mono f] : Mono (Abelian.factorThruImage f) :=
   mono_of_mono_fac <| image.fac f
 #align category_theory.abelian.mono_factor_thru_image CategoryTheory.Abelian.mono_factorThruImage
+-/
 
 end Image
 
 section Coimage
 
+#print CategoryTheory.Abelian.coimage /-
 /-- The cokernel of the kernel of `f` is called the (abelian) coimage of `f`. -/
 protected abbrev coimage : C :=
   cokernel (kernel.ι f)
 #align category_theory.abelian.coimage CategoryTheory.Abelian.coimage
+-/
 
+#print CategoryTheory.Abelian.coimage.π /-
 /-- The projection onto the coimage. -/
 protected abbrev coimage.π : P ⟶ Abelian.coimage f :=
   cokernel.π (kernel.ι f)
 #align category_theory.abelian.coimage.π CategoryTheory.Abelian.coimage.π
+-/
 
+#print CategoryTheory.Abelian.factorThruCoimage /-
 /-- There is a canonical monomorphism `i : coimage f ⟶ Q`. -/
 protected abbrev factorThruCoimage : Abelian.coimage f ⟶ Q :=
   cokernel.desc (kernel.ι f) f <| kernel.condition f
 #align category_theory.abelian.factor_thru_coimage CategoryTheory.Abelian.factorThruCoimage
+-/
 
+#print CategoryTheory.Abelian.coimage.fac /-
 /-- `f` factors through its coimage via the canonical morphism `p`. -/
 protected theorem coimage.fac : coimage.π f ≫ Abelian.factorThruCoimage f = f :=
   cokernel.π_desc _ _ _
 #align category_theory.abelian.coimage.fac CategoryTheory.Abelian.coimage.fac
+-/
 
+#print CategoryTheory.Abelian.epi_factorThruCoimage /-
 instance epi_factorThruCoimage [Epi f] : Epi (Abelian.factorThruCoimage f) :=
   epi_of_epi_fac <| coimage.fac f
 #align category_theory.abelian.epi_factor_thru_coimage CategoryTheory.Abelian.epi_factorThruCoimage
+-/
 
 end Coimage
 
+#print CategoryTheory.Abelian.coimageImageComparison /-
 /-- The canonical map from the abelian coimage to the abelian image.
 In any abelian category this is an isomorphism.
 
@@ -112,7 +133,9 @@ def coimageImageComparison : Abelian.coimage f ⟶ Abelian.image f :=
     ext
     simp
 #align category_theory.abelian.coimage_image_comparison CategoryTheory.Abelian.coimageImageComparison
+-/
 
+#print CategoryTheory.Abelian.coimageImageComparison' /-
 /-- An alternative formulation of the canonical map from the abelian coimage to the abelian image.
 -/
 def coimageImageComparison' : Abelian.coimage f ⟶ Abelian.image f :=
@@ -121,18 +144,23 @@ def coimageImageComparison' : Abelian.coimage f ⟶ Abelian.image f :=
       ext
       simp)
 #align category_theory.abelian.coimage_image_comparison' CategoryTheory.Abelian.coimageImageComparison'
+-/
 
+#print CategoryTheory.Abelian.coimageImageComparison_eq_coimageImageComparison' /-
 theorem coimageImageComparison_eq_coimageImageComparison' :
     coimageImageComparison f = coimageImageComparison' f :=
   by
   ext
   simp [coimage_image_comparison, coimage_image_comparison']
 #align category_theory.abelian.coimage_image_comparison_eq_coimage_image_comparison' CategoryTheory.Abelian.coimageImageComparison_eq_coimageImageComparison'
+-/
 
+#print CategoryTheory.Abelian.coimage_image_factorisation /-
 @[simp, reassoc.1]
 theorem coimage_image_factorisation : coimage.π f ≫ coimageImageComparison f ≫ image.ι f = f := by
   simp [coimage_image_comparison]
 #align category_theory.abelian.coimage_image_factorisation CategoryTheory.Abelian.coimage_image_factorisation
+-/
 
 end CategoryTheory.Abelian
 

Changes in mathlib4

mathlib3
mathlib4
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)
Diff
@@ -35,7 +35,6 @@ open CategoryTheory.Limits
 namespace CategoryTheory.Abelian
 
 variable {C : Type u} [Category.{v} C] [HasZeroMorphisms C] [HasKernels C] [HasCokernels C]
-
 variable {P Q : C} (f : P ⟶ Q)
 
 section Image
chore: classify simp can do this porting notes (#10619)

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

Diff
@@ -55,7 +55,7 @@ protected abbrev factorThruImage : P ⟶ Abelian.image f :=
   kernel.lift (cokernel.π f) f <| cokernel.condition f
 #align category_theory.abelian.factor_thru_image CategoryTheory.Abelian.factorThruImage
 
--- Porting note: simp can prove this and reassoc version, removed tags
+-- Porting note (#10618): simp can prove this and reassoc version, removed tags
 /-- `f` factors through its image via the canonical morphism `p`. -/
 protected theorem image.fac : Abelian.factorThruImage f ≫ image.ι f = f :=
   kernel.lift_ι _ _ _
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

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

Diff
@@ -2,14 +2,11 @@
 Copyright (c) 2020 Markus Himmel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Markus Himmel, Scott Morrison
-
-! This file was ported from Lean 3 source module category_theory.abelian.images
-! leanprover-community/mathlib commit 9e7c80f638149bfb3504ba8ff48dfdbfc949fb1a
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Limits.Shapes.Kernels
 
+#align_import category_theory.abelian.images from "leanprover-community/mathlib"@"9e7c80f638149bfb3504ba8ff48dfdbfc949fb1a"
+
 /-!
 # The abelian image and coimage.
 
feat: more consistent use of ext, and updating porting notes. (#5242)

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

Diff
@@ -107,20 +107,18 @@ in which this is always an isomorphism, is abelian.
 See <https://stacks.math.columbia.edu/tag/0107>
 -/
 def coimageImageComparison : Abelian.coimage f ⟶ Abelian.image f :=
-  cokernel.desc (kernel.ι f) (kernel.lift (cokernel.π f) f (by simp)) <|
-    by apply equalizer.hom_ext; simp
+  cokernel.desc (kernel.ι f) (kernel.lift (cokernel.π f) f (by simp)) (by ext; simp)
 #align category_theory.abelian.coimage_image_comparison CategoryTheory.Abelian.coimageImageComparison
 
 /-- An alternative formulation of the canonical map from the abelian coimage to the abelian image.
 -/
 def coimageImageComparison' : Abelian.coimage f ⟶ Abelian.image f :=
-  kernel.lift (cokernel.π f) (cokernel.desc (kernel.ι f) f (by simp))
-    (by apply coequalizer.hom_ext; simp)
+  kernel.lift (cokernel.π f) (cokernel.desc (kernel.ι f) f (by simp)) (by ext; simp)
 #align category_theory.abelian.coimage_image_comparison' CategoryTheory.Abelian.coimageImageComparison'
 
 theorem coimageImageComparison_eq_coimageImageComparison' :
     coimageImageComparison f = coimageImageComparison' f := by
-  apply coequalizer.hom_ext; apply equalizer.hom_ext
+  ext
   simp [coimageImageComparison, coimageImageComparison']
 #align category_theory.abelian.coimage_image_comparison_eq_coimage_image_comparison' CategoryTheory.Abelian.coimageImageComparison_eq_coimageImageComparison'
 
@@ -130,4 +128,3 @@ theorem coimage_image_factorisation : coimage.π f ≫ coimageImageComparison f
 #align category_theory.abelian.coimage_image_factorisation CategoryTheory.Abelian.coimage_image_factorisation
 
 end CategoryTheory.Abelian
-
feat: port CategoryTheory.Abelian.Images (#2676)

Dependencies 121

122 files ported (100.0%)
50871 lines ported (100.0%)

All dependencies are ported!