category_theory.limits.preserves.shapes.images

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

fc78e3c1

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

10bf4f82

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) 2022 Jujian Zhang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jujian Zhang
 -/
-import Mathbin.CategoryTheory.Limits.Shapes.Images
-import Mathbin.CategoryTheory.Limits.Constructions.EpiMono
+import CategoryTheory.Limits.Shapes.Images
+import CategoryTheory.Limits.Constructions.EpiMono
 
 #align_import category_theory.limits.preserves.shapes.images from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"

10bf4f82

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) 2022 Jujian Zhang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jujian Zhang
-
-! This file was ported from Lean 3 source module category_theory.limits.preserves.shapes.images
-! leanprover-community/mathlib commit 10bf4f825ad729c5653adc039dafa3622e7f93c9
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Limits.Shapes.Images
 import Mathbin.CategoryTheory.Limits.Constructions.EpiMono
 
+#align_import category_theory.limits.preserves.shapes.images from "leanprover-community/mathlib"@"10bf4f825ad729c5653adc039dafa3622e7f93c9"
+
 /-!
 # Preserving images

10bf4f82

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -45,6 +45,7 @@ variable [∀ {X Y Z : A} (f : X ⟶ Z) (g : Y ⟶ Z), PreservesLimit (cospan f
 
 variable [∀ {X Y Z : A} (f : X ⟶ Y) (g : X ⟶ Z), PreservesColimit (span f g) L]
 
+#print CategoryTheory.PreservesImage.iso /-
 /-- If a functor preserves span and cospan, then it preserves images.
 -/
 @[simps]
@@ -58,21 +59,28 @@ def iso {X Y : A} (f : X ⟶ Y) : image (L.map f) ≅ L.obj (image f) :=
       fac := by rw [← L.map_comp, limits.image.fac] }
   IsImage.isoExt (Image.isImage (L.map f)) aux1.toMonoIsImage
 #align category_theory.preserves_image.iso CategoryTheory.PreservesImage.iso
+-/
 
+#print CategoryTheory.PreservesImage.factorThruImage_comp_hom /-
 @[reassoc]
 theorem factorThruImage_comp_hom {X Y : A} (f : X ⟶ Y) :
     factorThruImage (L.map f) ≫ (iso L f).Hom = L.map (factorThruImage f) := by simp
 #align category_theory.preserves_image.factor_thru_image_comp_hom CategoryTheory.PreservesImage.factorThruImage_comp_hom
+-/
 
+#print CategoryTheory.PreservesImage.hom_comp_map_image_ι /-
 @[reassoc]
 theorem hom_comp_map_image_ι {X Y : A} (f : X ⟶ Y) :
     (iso L f).Hom ≫ L.map (image.ι f) = image.ι (L.map f) := by simp
 #align category_theory.preserves_image.hom_comp_map_image_ι CategoryTheory.PreservesImage.hom_comp_map_image_ι
+-/
 
+#print CategoryTheory.PreservesImage.inv_comp_image_ι_map /-
 @[reassoc]
 theorem inv_comp_image_ι_map {X Y : A} (f : X ⟶ Y) :
     (iso L f).inv ≫ image.ι (L.map f) = L.map (image.ι f) := by simp
 #align category_theory.preserves_image.inv_comp_image_ι_map CategoryTheory.PreservesImage.inv_comp_image_ι_map
+-/
 
 end PreservesImage

10bf4f82

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -45,12 +45,6 @@ variable [∀ {X Y Z : A} (f : X ⟶ Z) (g : Y ⟶ Z), PreservesLimit (cospan f
 
 variable [∀ {X Y Z : A} (f : X ⟶ Y) (g : X ⟶ Z), PreservesColimit (span f g) L]
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.preserves_image.iso CategoryTheory.PreservesImage.isoₓ'. -/
 /-- If a functor preserves span and cospan, then it preserves images.
 -/
 @[simps]
@@ -65,25 +59,16 @@ def iso {X Y : A} (f : X ⟶ Y) : image (L.map f) ≅ L.obj (image f) :=
   IsImage.isoExt (Image.isImage (L.map f)) aux1.toMonoIsImage
 #align category_theory.preserves_image.iso CategoryTheory.PreservesImage.iso
 
-/- warning: category_theory.preserves_image.factor_thru_image_comp_hom -> CategoryTheory.PreservesImage.factorThruImage_comp_hom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.preserves_image.factor_thru_image_comp_hom CategoryTheory.PreservesImage.factorThruImage_comp_homₓ'. -/
 @[reassoc]
 theorem factorThruImage_comp_hom {X Y : A} (f : X ⟶ Y) :
     factorThruImage (L.map f) ≫ (iso L f).Hom = L.map (factorThruImage f) := by simp
 #align category_theory.preserves_image.factor_thru_image_comp_hom CategoryTheory.PreservesImage.factorThruImage_comp_hom
 
-/- warning: category_theory.preserves_image.hom_comp_map_image_ι -> CategoryTheory.PreservesImage.hom_comp_map_image_ι is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.preserves_image.hom_comp_map_image_ι CategoryTheory.PreservesImage.hom_comp_map_image_ιₓ'. -/
 @[reassoc]
 theorem hom_comp_map_image_ι {X Y : A} (f : X ⟶ Y) :
     (iso L f).Hom ≫ L.map (image.ι f) = image.ι (L.map f) := by simp
 #align category_theory.preserves_image.hom_comp_map_image_ι CategoryTheory.PreservesImage.hom_comp_map_image_ι
 
-/- warning: category_theory.preserves_image.inv_comp_image_ι_map -> CategoryTheory.PreservesImage.inv_comp_image_ι_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.preserves_image.inv_comp_image_ι_map CategoryTheory.PreservesImage.inv_comp_image_ι_mapₓ'. -/
 @[reassoc]
 theorem inv_comp_image_ι_map {X Y : A} (f : X ⟶ Y) :
     (iso L f).inv ≫ image.ι (L.map f) = L.map (image.ι f) := by simp

10bf4f82

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -66,10 +66,7 @@ def iso {X Y : A} (f : X ⟶ Y) : image (L.map f) ≅ L.obj (image f) :=
 #align category_theory.preserves_image.iso CategoryTheory.PreservesImage.iso
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.preserves_image.factor_thru_image_comp_hom CategoryTheory.PreservesImage.factorThruImage_comp_homₓ'. -/
 @[reassoc]
 theorem factorThruImage_comp_hom {X Y : A} (f : X ⟶ Y) :
@@ -77,10 +74,7 @@ theorem factorThruImage_comp_hom {X Y : A} (f : X ⟶ Y) :
 #align category_theory.preserves_image.factor_thru_image_comp_hom CategoryTheory.PreservesImage.factorThruImage_comp_hom
 
 /- warning: category_theory.preserves_image.hom_comp_map_image_ι -> CategoryTheory.PreservesImage.hom_comp_map_image_ι is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.preserves_image.hom_comp_map_image_ι CategoryTheory.PreservesImage.hom_comp_map_image_ιₓ'. -/
 @[reassoc]
 theorem hom_comp_map_image_ι {X Y : A} (f : X ⟶ Y) :
@@ -88,10 +82,7 @@ theorem hom_comp_map_image_ι {X Y : A} (f : X ⟶ Y) :
 #align category_theory.preserves_image.hom_comp_map_image_ι CategoryTheory.PreservesImage.hom_comp_map_image_ι
 
 /- warning: category_theory.preserves_image.inv_comp_image_ι_map -> CategoryTheory.PreservesImage.inv_comp_image_ι_map is a dubious translation:
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(CategoryTheory.PreservesImage.iso.{u1, u2, u3, u4} A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 L (fun {X : A} {Y : A} {Z : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Z) (g : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) Y Z) => _inst_7 X Y Z f g) (fun {X : A} {Y : A} {Z : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Y) (g : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Z) => _inst_8 X Y Z f g) X Y f)) (CategoryTheory.Limits.image.ι.{u4, u2} B _inst_2 (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) Y) (Prefunctor.map.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X Y f) (CategoryTheory.Limits.HasImages.has_image.{u4, u2} B _inst_2 _inst_6 (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) Y) (Prefunctor.map.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X Y f)))) (Prefunctor.map.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) (CategoryTheory.Limits.image.{u3, u1} A _inst_1 X Y f (CategoryTheory.Limits.HasImages.has_image.{u3, u1} A _inst_1 _inst_4 X Y f)) Y (CategoryTheory.Limits.image.ι.{u3, u1} A _inst_1 X Y f (CategoryTheory.Limits.HasImages.has_image.{u3, u1} A _inst_1 _inst_4 X Y f)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.preserves_image.inv_comp_image_ι_map CategoryTheory.PreservesImage.inv_comp_image_ι_mapₓ'. -/
 @[reassoc]
 theorem inv_comp_image_ι_map {X Y : A} (f : X ⟶ Y) :

10bf4f82

bump to nightly-2023-05-23-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/75e7fca56381d056096ce5d05e938f63a6567828

ed98987c

Diff

@@ -71,7 +71,7 @@ lean 3 declaration is
 but is expected to have type
   forall {A : Type.{u1}} {B : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u3, u1} A] [_inst_2 : CategoryTheory.Category.{u4, u2} B] [_inst_3 : CategoryTheory.Limits.HasEqualizers.{u3, u1} A _inst_1] [_inst_4 : CategoryTheory.Limits.HasImages.{u3, u1} A _inst_1] [_inst_5 : CategoryTheory.StrongEpiCategory.{u4, u2} B _inst_2] [_inst_6 : CategoryTheory.Limits.HasImages.{u4, u2} B _inst_2] (L : CategoryTheory.Functor.{u3, u4, u1, u2} A _inst_1 B _inst_2) [_inst_7 : forall {X : A} {Y : A} {Z : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Z) (g : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) Y Z), CategoryTheory.Limits.PreservesLimit.{0, 0, u3, u4, u1, u2} A _inst_1 B _inst_2 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.cospan.{u3, u1} A _inst_1 X Y Z f g) L] [_inst_8 : forall {X : A} {Y : A} {Z : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Y) (g : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Z), CategoryTheory.Limits.PreservesColimit.{0, 0, u3, u4, u1, u2} A _inst_1 B _inst_2 CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.span.{u3, u1} A _inst_1 X Y Z f g) L] {X : A} {Y : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Y), Eq.{succ u4} (Quiver.Hom.{succ u4, u2} B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) (CategoryTheory.Limits.image.{u3, u1} A _inst_1 X Y f (CategoryTheory.Limits.HasImages.has_image.{u3, u1} A _inst_1 _inst_4 X Y f)))) (CategoryTheory.CategoryStruct.comp.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X) (CategoryTheory.Limits.image.{u4, u2} B _inst_2 (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) Y) (Prefunctor.map.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X Y f) (CategoryTheory.Limits.HasImages.has_image.{u4, u2} B _inst_2 _inst_6 (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A 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A _inst_1 B _inst_2 L) (CategoryTheory.Limits.image.{u3, u1} A _inst_1 X Y f (CategoryTheory.Limits.HasImages.has_image.{u3, u1} A _inst_1 _inst_4 X Y f))) (CategoryTheory.Limits.factorThruImage.{u4, u2} B _inst_2 (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) Y) (Prefunctor.map.{succ u3, succ u4, u1, u2} A 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u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) Y) (Prefunctor.map.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X Y f))) (CategoryTheory.Iso.hom.{u4, u2} B _inst_2 (CategoryTheory.Limits.image.{u4, u2} B _inst_2 (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) Y) (Prefunctor.map.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X Y f) (CategoryTheory.Limits.HasImages.has_image.{u4, u2} B _inst_2 _inst_6 (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) Y) (Prefunctor.map.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X Y f))) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) (CategoryTheory.Limits.image.{u3, u1} A _inst_1 X Y f (CategoryTheory.Limits.HasImages.has_image.{u3, u1} A _inst_1 _inst_4 X Y f))) (CategoryTheory.PreservesImage.iso.{u1, u2, u3, u4} A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 L (fun {X : A} {Y : A} {Z : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Z) (g : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) Y Z) => _inst_7 X Y Z f g) (fun {X : A} {Y : A} {Z : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Y) (g : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Z) => _inst_8 X Y Z f g) X Y f))) (Prefunctor.map.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X (CategoryTheory.Limits.image.{u3, u1} A _inst_1 X Y f (CategoryTheory.Limits.HasImages.has_image.{u3, u1} A _inst_1 _inst_4 X Y f)) (CategoryTheory.Limits.factorThruImage.{u3, u1} A _inst_1 X Y f (CategoryTheory.Limits.HasImages.has_image.{u3, u1} A _inst_1 _inst_4 X Y f)))
 Case conversion may be inaccurate. Consider using '#align category_theory.preserves_image.factor_thru_image_comp_hom CategoryTheory.PreservesImage.factorThruImage_comp_homₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem factorThruImage_comp_hom {X Y : A} (f : X ⟶ Y) :
     factorThruImage (L.map f) ≫ (iso L f).Hom = L.map (factorThruImage f) := by simp
 #align category_theory.preserves_image.factor_thru_image_comp_hom CategoryTheory.PreservesImage.factorThruImage_comp_hom
@@ -82,7 +82,7 @@ lean 3 declaration is
 but is expected to have type
   forall {A : Type.{u1}} {B : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u3, u1} A] [_inst_2 : CategoryTheory.Category.{u4, u2} B] [_inst_3 : CategoryTheory.Limits.HasEqualizers.{u3, u1} A _inst_1] [_inst_4 : CategoryTheory.Limits.HasImages.{u3, u1} A _inst_1] [_inst_5 : CategoryTheory.StrongEpiCategory.{u4, u2} B _inst_2] [_inst_6 : CategoryTheory.Limits.HasImages.{u4, u2} B _inst_2] (L : CategoryTheory.Functor.{u3, u4, u1, u2} A _inst_1 B _inst_2) [_inst_7 : forall {X : A} {Y : A} {Z : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Z) (g : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) Y Z), CategoryTheory.Limits.PreservesLimit.{0, 0, u3, u4, u1, u2} A _inst_1 B _inst_2 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.cospan.{u3, u1} A _inst_1 X Y Z f g) L] [_inst_8 : forall {X : A} {Y : A} {Z : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Y) (g : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Z), CategoryTheory.Limits.PreservesColimit.{0, 0, u3, u4, u1, u2} A _inst_1 B _inst_2 CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.span.{u3, u1} A _inst_1 X Y Z f g) L] {X : A} {Y : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Y), Eq.{succ u4} (Quiver.Hom.{succ u4, u2} B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Limits.image.{u4, u2} B _inst_2 (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) Y) (Prefunctor.map.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X Y f) (CategoryTheory.Limits.HasImages.has_image.{u4, u2} B _inst_2 _inst_6 (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) Y) (Prefunctor.map.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X Y f))) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) Y)) (CategoryTheory.CategoryStruct.comp.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2) (CategoryTheory.Limits.image.{u4, u2} B _inst_2 (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) Y) (Prefunctor.map.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X Y f) (CategoryTheory.Limits.HasImages.has_image.{u4, u2} B _inst_2 _inst_6 (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) Y) (Prefunctor.map.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X Y f))) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) (CategoryTheory.Limits.image.{u3, u1} A _inst_1 X Y f (CategoryTheory.Limits.HasImages.has_image.{u3, u1} A _inst_1 _inst_4 X Y f))) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) Y) (CategoryTheory.Iso.hom.{u4, u2} B _inst_2 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(CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X Y f) (CategoryTheory.Limits.HasImages.has_image.{u4, u2} B _inst_2 _inst_6 (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) Y) (Prefunctor.map.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X Y f))) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) (CategoryTheory.Limits.image.{u3, u1} A _inst_1 X Y f (CategoryTheory.Limits.HasImages.has_image.{u3, u1} A _inst_1 _inst_4 X Y f))) (CategoryTheory.PreservesImage.iso.{u1, u2, u3, u4} A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 L (fun {X : A} {Y : A} {Z : A} (f : Quiver.Hom.{succ u3, u1} A 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_inst_2 L) (CategoryTheory.Limits.image.{u3, u1} A _inst_1 X Y f (CategoryTheory.Limits.HasImages.has_image.{u3, u1} A _inst_1 _inst_4 X Y f)) Y (CategoryTheory.Limits.image.ι.{u3, u1} A _inst_1 X Y f (CategoryTheory.Limits.HasImages.has_image.{u3, u1} A _inst_1 _inst_4 X Y f)))) (CategoryTheory.Limits.image.ι.{u4, u2} B _inst_2 (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) Y) (Prefunctor.map.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X Y f) (CategoryTheory.Limits.HasImages.has_image.{u4, u2} B _inst_2 _inst_6 (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) Y) (Prefunctor.map.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X Y f)))
 Case conversion may be inaccurate. Consider using '#align category_theory.preserves_image.hom_comp_map_image_ι CategoryTheory.PreservesImage.hom_comp_map_image_ιₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem hom_comp_map_image_ι {X Y : A} (f : X ⟶ Y) :
     (iso L f).Hom ≫ L.map (image.ι f) = image.ι (L.map f) := by simp
 #align category_theory.preserves_image.hom_comp_map_image_ι CategoryTheory.PreservesImage.hom_comp_map_image_ι
@@ -93,7 +93,7 @@ lean 3 declaration is
 but is expected to have type
   forall {A : Type.{u1}} {B : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u3, u1} A] [_inst_2 : CategoryTheory.Category.{u4, u2} B] [_inst_3 : CategoryTheory.Limits.HasEqualizers.{u3, u1} A _inst_1] [_inst_4 : CategoryTheory.Limits.HasImages.{u3, u1} A _inst_1] [_inst_5 : CategoryTheory.StrongEpiCategory.{u4, u2} B _inst_2] [_inst_6 : CategoryTheory.Limits.HasImages.{u4, u2} B _inst_2] (L : CategoryTheory.Functor.{u3, u4, u1, u2} A _inst_1 B _inst_2) [_inst_7 : forall {X : A} {Y : A} {Z : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Z) (g : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) Y Z), CategoryTheory.Limits.PreservesLimit.{0, 0, u3, u4, u1, u2} A _inst_1 B _inst_2 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.cospan.{u3, u1} A _inst_1 X Y Z f g) L] [_inst_8 : forall {X : A} {Y : A} {Z : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Y) (g : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Z), CategoryTheory.Limits.PreservesColimit.{0, 0, u3, u4, u1, u2} A _inst_1 B _inst_2 CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.span.{u3, u1} A _inst_1 X Y Z f g) L] {X : A} {Y : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Y), Eq.{succ u4} (Quiver.Hom.{succ u4, u2} B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B 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 Case conversion may be inaccurate. Consider using '#align category_theory.preserves_image.inv_comp_image_ι_map CategoryTheory.PreservesImage.inv_comp_image_ι_mapₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem inv_comp_image_ι_map {X Y : A} (f : X ⟶ Y) :
     (iso L f).inv ≫ image.ι (L.map f) = L.map (image.ι f) := by simp
 #align category_theory.preserves_image.inv_comp_image_ι_map CategoryTheory.PreservesImage.inv_comp_image_ι_map

10bf4f82

bump to nightly-2023-03-16-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce7e9d53d4bbc38065db3b595cd5bd73c323bc1d

8ae28b0b

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jujian Zhang
 
 ! This file was ported from Lean 3 source module category_theory.limits.preserves.shapes.images
-! leanprover-community/mathlib commit fc78e3c190c72a109699385da6be2725e88df841
+! leanprover-community/mathlib commit 10bf4f825ad729c5653adc039dafa3622e7f93c9
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.CategoryTheory.Limits.Constructions.EpiMono
 /-!
 # Preserving images
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file, we show that if a functor preserves span and cospan, then it preserves images.
 -/

fc78e3c1

bump to nightly-2023-03-13-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/2af0836443b4cfb5feda0df0051acdb398304931

66e1e587

Diff

@@ -42,6 +42,12 @@ variable [∀ {X Y Z : A} (f : X ⟶ Z) (g : Y ⟶ Z), PreservesLimit (cospan f
 
 variable [∀ {X Y Z : A} (f : X ⟶ Y) (g : X ⟶ Z), PreservesColimit (span f g) L]
 
+/- warning: category_theory.preserves_image.iso -> CategoryTheory.PreservesImage.iso is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} {B : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u3, u1} A] [_inst_2 : CategoryTheory.Category.{u4, u2} B] [_inst_3 : CategoryTheory.Limits.HasEqualizers.{u3, u1} A _inst_1] [_inst_4 : CategoryTheory.Limits.HasImages.{u3, u1} A _inst_1] [_inst_5 : CategoryTheory.StrongEpiCategory.{u4, u2} B _inst_2] [_inst_6 : CategoryTheory.Limits.HasImages.{u4, u2} B _inst_2] (L : CategoryTheory.Functor.{u3, u4, u1, u2} A _inst_1 B _inst_2) [_inst_7 : forall {X : A} {Y : A} {Z : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Z) (g : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) Y Z), CategoryTheory.Limits.PreservesLimit.{0, 0, u3, u4, u1, u2} A _inst_1 B _inst_2 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.cospan.{u3, u1} A _inst_1 X Y Z f g) L] [_inst_8 : forall {X : A} {Y : A} {Z : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Y) (g : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Z), CategoryTheory.Limits.PreservesColimit.{0, 0, u3, u4, u1, u2} A _inst_1 B _inst_2 CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.span.{u3, u1} A _inst_1 X Y Z f g) L] {X : A} {Y : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Y), CategoryTheory.Iso.{u4, u2} B _inst_2 (CategoryTheory.Limits.image.{u4, u2} B _inst_2 (CategoryTheory.Functor.obj.{u3, u4, u1, u2} A _inst_1 B _inst_2 L X) (CategoryTheory.Functor.obj.{u3, u4, u1, u2} A _inst_1 B _inst_2 L Y) (CategoryTheory.Functor.map.{u3, u4, u1, u2} A _inst_1 B _inst_2 L X Y f) (CategoryTheory.PreservesImage.iso._proof_1.{u1, u2, u3, u4} A B _inst_1 _inst_2 _inst_6 L X Y f)) (CategoryTheory.Functor.obj.{u3, u4, u1, u2} A _inst_1 B _inst_2 L (CategoryTheory.Limits.image.{u3, u1} A _inst_1 X Y f (CategoryTheory.Limits.HasImages.hasImage.{u3, u1} A _inst_1 _inst_4 X Y f)))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.preserves_image.iso CategoryTheory.PreservesImage.isoₓ'. -/
 /-- If a functor preserves span and cospan, then it preserves images.
 -/
 @[simps]
@@ -56,16 +62,34 @@ def iso {X Y : A} (f : X ⟶ Y) : image (L.map f) ≅ L.obj (image f) :=
   IsImage.isoExt (Image.isImage (L.map f)) aux1.toMonoIsImage
 #align category_theory.preserves_image.iso CategoryTheory.PreservesImage.iso
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.preserves_image.factor_thru_image_comp_hom CategoryTheory.PreservesImage.factorThruImage_comp_homₓ'. -/
 @[reassoc.1]
 theorem factorThruImage_comp_hom {X Y : A} (f : X ⟶ Y) :
     factorThruImage (L.map f) ≫ (iso L f).Hom = L.map (factorThruImage f) := by simp
 #align category_theory.preserves_image.factor_thru_image_comp_hom CategoryTheory.PreservesImage.factorThruImage_comp_hom
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.preserves_image.hom_comp_map_image_ι CategoryTheory.PreservesImage.hom_comp_map_image_ιₓ'. -/
 @[reassoc.1]
 theorem hom_comp_map_image_ι {X Y : A} (f : X ⟶ Y) :
     (iso L f).Hom ≫ L.map (image.ι f) = image.ι (L.map f) := by simp
 #align category_theory.preserves_image.hom_comp_map_image_ι CategoryTheory.PreservesImage.hom_comp_map_image_ι
 
+/- warning: category_theory.preserves_image.inv_comp_image_ι_map -> CategoryTheory.PreservesImage.inv_comp_image_ι_map is a dubious translation:
+lean 3 declaration is
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(CategoryTheory.Limits.HasImages.hasImage.{u3, u1} A _inst_1 _inst_4 X Y f)) Y (CategoryTheory.Limits.image.ι.{u3, u1} A _inst_1 X Y f (CategoryTheory.Limits.HasImages.hasImage.{u3, u1} A _inst_1 _inst_4 X Y f)))
+but is expected to have type
+  forall {A : Type.{u1}} {B : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u3, u1} A] [_inst_2 : CategoryTheory.Category.{u4, u2} B] [_inst_3 : CategoryTheory.Limits.HasEqualizers.{u3, u1} A _inst_1] [_inst_4 : CategoryTheory.Limits.HasImages.{u3, u1} A _inst_1] [_inst_5 : CategoryTheory.StrongEpiCategory.{u4, u2} B _inst_2] [_inst_6 : CategoryTheory.Limits.HasImages.{u4, u2} B _inst_2] (L : CategoryTheory.Functor.{u3, u4, u1, u2} A _inst_1 B _inst_2) [_inst_7 : forall {X : A} {Y : A} {Z : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Z) (g : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) Y Z), CategoryTheory.Limits.PreservesLimit.{0, 0, u3, u4, u1, u2} A _inst_1 B _inst_2 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.cospan.{u3, u1} A _inst_1 X Y Z f g) L] [_inst_8 : forall {X : A} {Y : A} {Z : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Y) (g : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Z), CategoryTheory.Limits.PreservesColimit.{0, 0, u3, u4, u1, u2} A _inst_1 B _inst_2 CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.span.{u3, u1} A _inst_1 X Y Z f g) L] {X : A} {Y : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Y), Eq.{succ u4} (Quiver.Hom.{succ u4, u2} B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B 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u2} B _inst_2) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) (CategoryTheory.Limits.image.{u3, u1} A _inst_1 X Y f (CategoryTheory.Limits.HasImages.has_image.{u3, u1} A _inst_1 _inst_4 X Y f))) (CategoryTheory.Limits.image.{u4, u2} B _inst_2 (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A 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(CategoryTheory.PreservesImage.iso.{u1, u2, u3, u4} A B _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 L (fun {X : A} {Y : A} {Z : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Z) (g : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) Y Z) => _inst_7 X Y Z f g) (fun {X : A} {Y : A} {Z : A} (f : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Y) (g : Quiver.Hom.{succ u3, u1} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) X Z) => _inst_8 X Y Z f g) X Y f)) (CategoryTheory.Limits.image.ι.{u4, u2} B _inst_2 (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X) (Prefunctor.obj.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) Y) (Prefunctor.map.{succ u3, succ u4, u1, u2} A (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} A (CategoryTheory.Category.toCategoryStruct.{u3, u1} A _inst_1)) B (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} B (CategoryTheory.Category.toCategoryStruct.{u4, u2} B _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u4, u1, u2} A _inst_1 B _inst_2 L) X Y f) 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+Case conversion may be inaccurate. Consider using '#align category_theory.preserves_image.inv_comp_image_ι_map CategoryTheory.PreservesImage.inv_comp_image_ι_mapₓ'. -/
 @[reassoc.1]
 theorem inv_comp_image_ι_map {X Y : A} (f : X ⟶ Y) :
     (iso L f).inv ≫ image.ι (L.map f) = L.map (image.ι f) := by simp

fc78e3c1

bump to nightly-2023-02-27-08

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

91d8c210

Diff

@@ -52,7 +52,7 @@ def iso {X Y : A} (f : X ⟶ Y) : image (L.map f) ≅ L.obj (image f) :=
       m_mono := preserves_mono_of_preservesLimit _ _
       e := L.map <| factorThruImage _
       e_strongEpi := @strongEpi_of_epi _ _ _ <| preserves_epi_of_preservesColimit L _
-      fac' := by rw [← L.map_comp, limits.image.fac] }
+      fac := by rw [← L.map_comp, limits.image.fac] }
   IsImage.isoExt (Image.isImage (L.map f)) aux1.toMonoIsImage
 #align category_theory.preserves_image.iso CategoryTheory.PreservesImage.iso

fc78e3c1

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

fc78e3c1

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

@@ -28,15 +28,10 @@ open CategoryTheory.Limits
 universe u₁ u₂ v₁ v₂
 
 variable {A : Type u₁} {B : Type u₂} [Category.{v₁} A] [Category.{v₂} B]
-
 variable [HasEqualizers A] [HasImages A]
-
 variable [StrongEpiCategory B] [HasImages B]
-
 variable (L : A ⥤ B)
-
 variable [∀ {X Y Z : A} (f : X ⟶ Z) (g : Y ⟶ Z), PreservesLimit (cospan f g) L]
-
 variable [∀ {X Y Z : A} (f : X ⟶ Y) (g : X ⟶ Z), PreservesColimit (span f g) L]
 
 /-- If a functor preserves span and cospan, then it preserves images.

fc78e3c1

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) 2022 Jujian Zhang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jujian Zhang
-
-! This file was ported from Lean 3 source module category_theory.limits.preserves.shapes.images
-! leanprover-community/mathlib commit fc78e3c190c72a109699385da6be2725e88df841
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Limits.Shapes.Images
 import Mathlib.CategoryTheory.Limits.Constructions.EpiMono
 
+#align_import category_theory.limits.preserves.shapes.images from "leanprover-community/mathlib"@"fc78e3c190c72a109699385da6be2725e88df841"
+
 /-!
 # Preserving images

fc78e3c1

feat: port CategoryTheory.Limits.Preserves.Shapes.Images (#2824)

93960c6f

`category_theory.limits.preserves.shapes.images` ⟷ `Mathlib.CategoryTheory.Limits.Preserves.Shapes.Images`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 115

category_theory.limits.preserves.shapes.images ⟷ Mathlib.CategoryTheory.Limits.Preserves.Shapes.Images

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 115

`category_theory.limits.preserves.shapes.images` ⟷ `Mathlib.CategoryTheory.Limits.Preserves.Shapes.Images`