category_theory.subobject.limits | 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

956af7c7

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

ce38d86c

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta, Scott Morrison
 -/
-import Mathbin.CategoryTheory.Subobject.Lattice
+import CategoryTheory.Subobject.Lattice
 
 #align_import category_theory.subobject.limits from "leanprover-community/mathlib"@"ce38d86c0b2d427ce208c3cee3159cb421d2b3c4"

ce38d86c

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta, Scott Morrison
-
-! This file was ported from Lean 3 source module category_theory.subobject.limits
-! leanprover-community/mathlib commit ce38d86c0b2d427ce208c3cee3159cb421d2b3c4
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Subobject.Lattice
 
+#align_import category_theory.subobject.limits from "leanprover-community/mathlib"@"ce38d86c0b2d427ce208c3cee3159cb421d2b3c4"
+
 /-!
 # Specific subobjects

ce38d86c

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -49,29 +49,37 @@ abbrev equalizerSubobject : Subobject X :=
 #align category_theory.limits.equalizer_subobject CategoryTheory.Limits.equalizerSubobject
 -/
 
+#print CategoryTheory.Limits.equalizerSubobjectIso /-
 /-- The underlying object of `equalizer_subobject f g` is (up to isomorphism!)
 the same as the chosen object `equalizer f g`. -/
 def equalizerSubobjectIso : (equalizerSubobject f g : C) ≅ equalizer f g :=
   Subobject.underlyingIso (equalizer.ι f g)
 #align category_theory.limits.equalizer_subobject_iso CategoryTheory.Limits.equalizerSubobjectIso
+-/
 
+#print CategoryTheory.Limits.equalizerSubobject_arrow /-
 @[simp, reassoc]
 theorem equalizerSubobject_arrow :
     (equalizerSubobjectIso f g).Hom ≫ equalizer.ι f g = (equalizerSubobject f g).arrow := by
   simp [equalizer_subobject_iso]
 #align category_theory.limits.equalizer_subobject_arrow CategoryTheory.Limits.equalizerSubobject_arrow
+-/
 
+#print CategoryTheory.Limits.equalizerSubobject_arrow' /-
 @[simp, reassoc]
 theorem equalizerSubobject_arrow' :
     (equalizerSubobjectIso f g).inv ≫ (equalizerSubobject f g).arrow = equalizer.ι f g := by
   simp [equalizer_subobject_iso]
 #align category_theory.limits.equalizer_subobject_arrow' CategoryTheory.Limits.equalizerSubobject_arrow'
+-/
 
+#print CategoryTheory.Limits.equalizerSubobject_arrow_comp /-
 @[reassoc]
 theorem equalizerSubobject_arrow_comp :
     (equalizerSubobject f g).arrow ≫ f = (equalizerSubobject f g).arrow ≫ g := by
   rw [← equalizer_subobject_arrow, category.assoc, category.assoc, equalizer.condition]
 #align category_theory.limits.equalizer_subobject_arrow_comp CategoryTheory.Limits.equalizerSubobject_arrow_comp
+-/
 
 #print CategoryTheory.Limits.equalizerSubobject_factors /-
 theorem equalizerSubobject_factors {W : C} (h : W ⟶ X) (w : h ≫ f = h ≫ g) :
@@ -103,28 +111,36 @@ abbrev kernelSubobject : Subobject X :=
 #align category_theory.limits.kernel_subobject CategoryTheory.Limits.kernelSubobject
 -/
 
+#print CategoryTheory.Limits.kernelSubobjectIso /-
 /-- The underlying object of `kernel_subobject f` is (up to isomorphism!)
 the same as the chosen object `kernel f`. -/
 def kernelSubobjectIso : (kernelSubobject f : C) ≅ kernel f :=
   Subobject.underlyingIso (kernel.ι f)
 #align category_theory.limits.kernel_subobject_iso CategoryTheory.Limits.kernelSubobjectIso
+-/
 
+#print CategoryTheory.Limits.kernelSubobject_arrow /-
 @[simp, reassoc, elementwise]
 theorem kernelSubobject_arrow :
     (kernelSubobjectIso f).Hom ≫ kernel.ι f = (kernelSubobject f).arrow := by
   simp [kernel_subobject_iso]
 #align category_theory.limits.kernel_subobject_arrow CategoryTheory.Limits.kernelSubobject_arrow
+-/
 
+#print CategoryTheory.Limits.kernelSubobject_arrow' /-
 @[simp, reassoc, elementwise]
 theorem kernelSubobject_arrow' :
     (kernelSubobjectIso f).inv ≫ (kernelSubobject f).arrow = kernel.ι f := by
   simp [kernel_subobject_iso]
 #align category_theory.limits.kernel_subobject_arrow' CategoryTheory.Limits.kernelSubobject_arrow'
+-/
 
+#print CategoryTheory.Limits.kernelSubobject_arrow_comp /-
 @[simp, reassoc, elementwise]
 theorem kernelSubobject_arrow_comp : (kernelSubobject f).arrow ≫ f = 0 := by
   rw [← kernel_subobject_arrow]; simp only [category.assoc, kernel.condition, comp_zero]
 #align category_theory.limits.kernel_subobject_arrow_comp CategoryTheory.Limits.kernelSubobject_arrow_comp
+-/
 
 #print CategoryTheory.Limits.kernelSubobject_factors /-
 theorem kernelSubobject_factors {W : C} (h : W ⟶ X) (w : h ≫ f = 0) :
@@ -143,81 +159,106 @@ theorem kernelSubobject_factors_iff {W : C} (h : W ⟶ X) :
 #align category_theory.limits.kernel_subobject_factors_iff CategoryTheory.Limits.kernelSubobject_factors_iff
 -/
 
+#print CategoryTheory.Limits.factorThruKernelSubobject /-
 /-- A factorisation of `h : W ⟶ X` through `kernel_subobject f`, assuming `h ≫ f = 0`. -/
 def factorThruKernelSubobject {W : C} (h : W ⟶ X) (w : h ≫ f = 0) : W ⟶ kernelSubobject f :=
   (kernelSubobject f).factorThru h (kernelSubobject_factors f h w)
 #align category_theory.limits.factor_thru_kernel_subobject CategoryTheory.Limits.factorThruKernelSubobject
+-/
 
+#print CategoryTheory.Limits.factorThruKernelSubobject_comp_arrow /-
 @[simp]
 theorem factorThruKernelSubobject_comp_arrow {W : C} (h : W ⟶ X) (w : h ≫ f = 0) :
     factorThruKernelSubobject f h w ≫ (kernelSubobject f).arrow = h := by
   dsimp [factor_thru_kernel_subobject]; simp
 #align category_theory.limits.factor_thru_kernel_subobject_comp_arrow CategoryTheory.Limits.factorThruKernelSubobject_comp_arrow
+-/
 
+#print CategoryTheory.Limits.factorThruKernelSubobject_comp_kernelSubobjectIso /-
 @[simp]
 theorem factorThruKernelSubobject_comp_kernelSubobjectIso {W : C} (h : W ⟶ X) (w : h ≫ f = 0) :
     factorThruKernelSubobject f h w ≫ (kernelSubobjectIso f).Hom = kernel.lift f h w :=
   (cancel_mono (kernel.ι f)).1 <| by simp
 #align category_theory.limits.factor_thru_kernel_subobject_comp_kernel_subobject_iso CategoryTheory.Limits.factorThruKernelSubobject_comp_kernelSubobjectIso
+-/
 
 section
 
 variable {f} {X' Y' : C} {f' : X' ⟶ Y'} [HasKernel f']
 
+#print CategoryTheory.Limits.kernelSubobjectMap /-
 /-- A commuting square induces a morphism between the kernel subobjects. -/
 def kernelSubobjectMap (sq : Arrow.mk f ⟶ Arrow.mk f') :
     (kernelSubobject f : C) ⟶ (kernelSubobject f' : C) :=
   Subobject.factorThru _ ((kernelSubobject f).arrow ≫ sq.left)
     (kernelSubobject_factors _ _ (by simp [sq.w]))
 #align category_theory.limits.kernel_subobject_map CategoryTheory.Limits.kernelSubobjectMap
+-/
 
+#print CategoryTheory.Limits.kernelSubobjectMap_arrow /-
 @[simp, reassoc, elementwise]
 theorem kernelSubobjectMap_arrow (sq : Arrow.mk f ⟶ Arrow.mk f') :
     kernelSubobjectMap sq ≫ (kernelSubobject f').arrow = (kernelSubobject f).arrow ≫ sq.left := by
   simp [kernel_subobject_map]
 #align category_theory.limits.kernel_subobject_map_arrow CategoryTheory.Limits.kernelSubobjectMap_arrow
+-/
 
+#print CategoryTheory.Limits.kernelSubobjectMap_id /-
 @[simp]
 theorem kernelSubobjectMap_id : kernelSubobjectMap (𝟙 (Arrow.mk f)) = 𝟙 _ := by ext; simp; dsimp;
   simp
 #align category_theory.limits.kernel_subobject_map_id CategoryTheory.Limits.kernelSubobjectMap_id
+-/
 
+#print CategoryTheory.Limits.kernelSubobjectMap_comp /-
 -- See library note [dsimp, simp].
 @[simp]
 theorem kernelSubobjectMap_comp {X'' Y'' : C} {f'' : X'' ⟶ Y''} [HasKernel f'']
     (sq : Arrow.mk f ⟶ Arrow.mk f') (sq' : Arrow.mk f' ⟶ Arrow.mk f'') :
     kernelSubobjectMap (sq ≫ sq') = kernelSubobjectMap sq ≫ kernelSubobjectMap sq' := by ext; simp
 #align category_theory.limits.kernel_subobject_map_comp CategoryTheory.Limits.kernelSubobjectMap_comp
+-/
 
+#print CategoryTheory.Limits.kernel_map_comp_kernelSubobjectIso_inv /-
 @[reassoc]
 theorem kernel_map_comp_kernelSubobjectIso_inv (sq : Arrow.mk f ⟶ Arrow.mk f') :
     kernel.map f f' sq.1 sq.2 sq.3.symm ≫ (kernelSubobjectIso _).inv =
       (kernelSubobjectIso _).inv ≫ kernelSubobjectMap sq :=
   by ext <;> simp
 #align category_theory.limits.kernel_map_comp_kernel_subobject_iso_inv CategoryTheory.Limits.kernel_map_comp_kernelSubobjectIso_inv
+-/
 
+#print CategoryTheory.Limits.kernelSubobjectIso_comp_kernel_map /-
 @[reassoc]
 theorem kernelSubobjectIso_comp_kernel_map (sq : Arrow.mk f ⟶ Arrow.mk f') :
     (kernelSubobjectIso _).Hom ≫ kernel.map f f' sq.1 sq.2 sq.3.symm =
       kernelSubobjectMap sq ≫ (kernelSubobjectIso _).Hom :=
   by simp [← iso.comp_inv_eq, kernel_map_comp_kernel_subobject_iso_inv]
 #align category_theory.limits.kernel_subobject_iso_comp_kernel_map CategoryTheory.Limits.kernelSubobjectIso_comp_kernel_map
+-/
 
 end
 
+#print CategoryTheory.Limits.kernelSubobject_zero /-
 @[simp]
 theorem kernelSubobject_zero {A B : C} : kernelSubobject (0 : A ⟶ B) = ⊤ :=
   (isIso_iff_mk_eq_top _).mp (by infer_instance)
 #align category_theory.limits.kernel_subobject_zero CategoryTheory.Limits.kernelSubobject_zero
+-/
 
+#print CategoryTheory.Limits.isIso_kernelSubobject_zero_arrow /-
 instance isIso_kernelSubobject_zero_arrow : IsIso (kernelSubobject (0 : X ⟶ Y)).arrow :=
   (isIso_arrow_iff_eq_top _).mpr kernelSubobject_zero
 #align category_theory.limits.is_iso_kernel_subobject_zero_arrow CategoryTheory.Limits.isIso_kernelSubobject_zero_arrow
+-/
 
+#print CategoryTheory.Limits.le_kernelSubobject /-
 theorem le_kernelSubobject (A : Subobject X) (h : A.arrow ≫ f = 0) : A ≤ kernelSubobject f :=
   Subobject.le_mk_of_comm (kernel.lift f A.arrow h) (by simp)
 #align category_theory.limits.le_kernel_subobject CategoryTheory.Limits.le_kernelSubobject
+-/
 
+#print CategoryTheory.Limits.kernelSubobjectIsoComp /-
 /-- The isomorphism between the kernel of `f ≫ g` and the kernel of `g`,
 when `f` is an isomorphism.
 -/
@@ -225,20 +266,25 @@ def kernelSubobjectIsoComp {X' : C} (f : X' ⟶ X) [IsIso f] (g : X ⟶ Y) [HasK
     (kernelSubobject (f ≫ g) : C) ≅ (kernelSubobject g : C) :=
   kernelSubobjectIso _ ≪≫ kernelIsIsoComp f g ≪≫ (kernelSubobjectIso _).symm
 #align category_theory.limits.kernel_subobject_iso_comp CategoryTheory.Limits.kernelSubobjectIsoComp
+-/
 
+#print CategoryTheory.Limits.kernelSubobjectIsoComp_hom_arrow /-
 @[simp]
 theorem kernelSubobjectIsoComp_hom_arrow {X' : C} (f : X' ⟶ X) [IsIso f] (g : X ⟶ Y) [HasKernel g] :
     (kernelSubobjectIsoComp f g).Hom ≫ (kernelSubobject g).arrow =
       (kernelSubobject (f ≫ g)).arrow ≫ f :=
   by simp [kernel_subobject_iso_comp]
 #align category_theory.limits.kernel_subobject_iso_comp_hom_arrow CategoryTheory.Limits.kernelSubobjectIsoComp_hom_arrow
+-/
 
+#print CategoryTheory.Limits.kernelSubobjectIsoComp_inv_arrow /-
 @[simp]
 theorem kernelSubobjectIsoComp_inv_arrow {X' : C} (f : X' ⟶ X) [IsIso f] (g : X ⟶ Y) [HasKernel g] :
     (kernelSubobjectIsoComp f g).inv ≫ (kernelSubobject (f ≫ g)).arrow =
       (kernelSubobject g).arrow ≫ inv f :=
   by simp [kernel_subobject_iso_comp]
 #align category_theory.limits.kernel_subobject_iso_comp_inv_arrow CategoryTheory.Limits.kernelSubobjectIsoComp_inv_arrow
+-/
 
 #print CategoryTheory.Limits.kernelSubobject_comp_le /-
 /-- The kernel of `f` is always a smaller subobject than the kernel of `f ≫ h`. -/
@@ -257,6 +303,7 @@ theorem kernelSubobject_comp_mono (f : X ⟶ Y) [HasKernel f] {Z : C} (h : Y ⟶
 #align category_theory.limits.kernel_subobject_comp_mono CategoryTheory.Limits.kernelSubobject_comp_mono
 -/
 
+#print CategoryTheory.Limits.kernelSubobject_comp_mono_isIso /-
 instance kernelSubobject_comp_mono_isIso (f : X ⟶ Y) [HasKernel f] {Z : C} (h : Y ⟶ Z) [Mono h] :
     IsIso (Subobject.ofLE _ _ (kernelSubobject_comp_le f h)) :=
   by
@@ -264,6 +311,7 @@ instance kernelSubobject_comp_mono_isIso (f : X ⟶ Y) [HasKernel f] {Z : C} (h
   · infer_instance
   · simp
 #align category_theory.limits.kernel_subobject_comp_mono_is_iso CategoryTheory.Limits.kernelSubobject_comp_mono_isIso
+-/
 
 #print CategoryTheory.Limits.cokernelOrderHom /-
 /-- Taking cokernels is an order-reversing map from the subobjects of `X` to the quotient objects
@@ -335,40 +383,52 @@ abbrev imageSubobject : Subobject Y :=
 #align category_theory.limits.image_subobject CategoryTheory.Limits.imageSubobject
 -/
 
+#print CategoryTheory.Limits.imageSubobjectIso /-
 /-- The underlying object of `image_subobject f` is (up to isomorphism!)
 the same as the chosen object `image f`. -/
 def imageSubobjectIso : (imageSubobject f : C) ≅ image f :=
   Subobject.underlyingIso (image.ι f)
 #align category_theory.limits.image_subobject_iso CategoryTheory.Limits.imageSubobjectIso
+-/
 
+#print CategoryTheory.Limits.imageSubobject_arrow /-
 @[simp, reassoc]
 theorem imageSubobject_arrow : (imageSubobjectIso f).Hom ≫ image.ι f = (imageSubobject f).arrow :=
   by simp [image_subobject_iso]
 #align category_theory.limits.image_subobject_arrow CategoryTheory.Limits.imageSubobject_arrow
+-/
 
+#print CategoryTheory.Limits.imageSubobject_arrow' /-
 @[simp, reassoc]
 theorem imageSubobject_arrow' : (imageSubobjectIso f).inv ≫ (imageSubobject f).arrow = image.ι f :=
   by simp [image_subobject_iso]
 #align category_theory.limits.image_subobject_arrow' CategoryTheory.Limits.imageSubobject_arrow'
+-/
 
+#print CategoryTheory.Limits.factorThruImageSubobject /-
 /-- A factorisation of `f : X ⟶ Y` through `image_subobject f`. -/
 def factorThruImageSubobject : X ⟶ imageSubobject f :=
   factorThruImage f ≫ (imageSubobjectIso f).inv
 #align category_theory.limits.factor_thru_image_subobject CategoryTheory.Limits.factorThruImageSubobject
+-/
 
 instance [HasEqualizers C] : Epi (factorThruImageSubobject f) := by
   dsimp [factor_thru_image_subobject]; apply epi_comp
 
+#print CategoryTheory.Limits.imageSubobject_arrow_comp /-
 @[simp, reassoc, elementwise]
 theorem imageSubobject_arrow_comp : factorThruImageSubobject f ≫ (imageSubobject f).arrow = f := by
   simp [factor_thru_image_subobject, image_subobject_arrow]
 #align category_theory.limits.image_subobject_arrow_comp CategoryTheory.Limits.imageSubobject_arrow_comp
+-/
 
+#print CategoryTheory.Limits.imageSubobject_arrow_comp_eq_zero /-
 theorem imageSubobject_arrow_comp_eq_zero [HasZeroMorphisms C] {X Y Z : C} {f : X ⟶ Y} {g : Y ⟶ Z}
     [HasImage f] [Epi (factorThruImageSubobject f)] (h : f ≫ g = 0) :
     (imageSubobject f).arrow ≫ g = 0 :=
   zero_of_epi_comp (factorThruImageSubobject f) <| by simp [h]
 #align category_theory.limits.image_subobject_arrow_comp_eq_zero CategoryTheory.Limits.imageSubobject_arrow_comp_eq_zero
+-/
 
 #print CategoryTheory.Limits.imageSubobject_factors_comp_self /-
 theorem imageSubobject_factors_comp_self {W : C} (k : W ⟶ X) : (imageSubobject f).Factors (k ≫ f) :=
@@ -376,16 +436,20 @@ theorem imageSubobject_factors_comp_self {W : C} (k : W ⟶ X) : (imageSubobject
 #align category_theory.limits.image_subobject_factors_comp_self CategoryTheory.Limits.imageSubobject_factors_comp_self
 -/
 
+#print CategoryTheory.Limits.factorThruImageSubobject_comp_self /-
 @[simp]
 theorem factorThruImageSubobject_comp_self {W : C} (k : W ⟶ X) (h) :
     (imageSubobject f).factorThru (k ≫ f) h = k ≫ factorThruImageSubobject f := by ext; simp
 #align category_theory.limits.factor_thru_image_subobject_comp_self CategoryTheory.Limits.factorThruImageSubobject_comp_self
+-/
 
+#print CategoryTheory.Limits.factorThruImageSubobject_comp_self_assoc /-
 @[simp]
 theorem factorThruImageSubobject_comp_self_assoc {W W' : C} (k : W ⟶ W') (k' : W' ⟶ X) (h) :
     (imageSubobject f).factorThru (k ≫ k' ≫ f) h = k ≫ k' ≫ factorThruImageSubobject f := by ext;
   simp
 #align category_theory.limits.factor_thru_image_subobject_comp_self_assoc CategoryTheory.Limits.factorThruImageSubobject_comp_self_assoc
+-/
 
 #print CategoryTheory.Limits.imageSubobject_comp_le /-
 /-- The image of `h ≫ f` is always a smaller subobject than the image of `f`. -/
@@ -401,15 +465,19 @@ open scoped ZeroObject
 
 variable [HasZeroMorphisms C] [HasZeroObject C]
 
+#print CategoryTheory.Limits.imageSubobject_zero_arrow /-
 @[simp]
 theorem imageSubobject_zero_arrow : (imageSubobject (0 : X ⟶ Y)).arrow = 0 := by
   rw [← image_subobject_arrow]; simp
 #align category_theory.limits.image_subobject_zero_arrow CategoryTheory.Limits.imageSubobject_zero_arrow
+-/
 
+#print CategoryTheory.Limits.imageSubobject_zero /-
 @[simp]
 theorem imageSubobject_zero {A B : C} : imageSubobject (0 : A ⟶ B) = ⊥ :=
   Subobject.eq_of_comm (imageSubobjectIso _ ≪≫ imageZero ≪≫ Subobject.botCoeIsoZero.symm) (by simp)
 #align category_theory.limits.image_subobject_zero CategoryTheory.Limits.imageSubobject_zero
+-/
 
 end
 
@@ -419,6 +487,7 @@ variable [HasEqualizers C]
 
 attribute [local instance] epi_comp
 
+#print CategoryTheory.Limits.imageSubobject_comp_le_epi_of_epi /-
 /-- The morphism `image_subobject (h ≫ f) ⟶ image_subobject f`
 is an epimorphism when `h` is an epimorphism.
 In general this does not imply that `image_subobject (h ≫ f) = image_subobject f`,
@@ -431,6 +500,7 @@ instance imageSubobject_comp_le_epi_of_epi {X' : C} (h : X' ⟶ X) [Epi h] (f :
   · infer_instance
   · simp
 #align category_theory.limits.image_subobject_comp_le_epi_of_epi CategoryTheory.Limits.imageSubobject_comp_le_epi_of_epi
+-/
 
 end
 
@@ -438,25 +508,31 @@ section
 
 variable [HasEqualizers C]
 
+#print CategoryTheory.Limits.imageSubobjectCompIso /-
 /-- Postcomposing by an isomorphism gives an isomorphism between image subobjects. -/
 def imageSubobjectCompIso (f : X ⟶ Y) [HasImage f] {Y' : C} (h : Y ⟶ Y') [IsIso h] :
     (imageSubobject (f ≫ h) : C) ≅ (imageSubobject f : C) :=
   imageSubobjectIso _ ≪≫ (image.compIso _ _).symm ≪≫ (imageSubobjectIso _).symm
 #align category_theory.limits.image_subobject_comp_iso CategoryTheory.Limits.imageSubobjectCompIso
+-/
 
+#print CategoryTheory.Limits.imageSubobjectCompIso_hom_arrow /-
 @[simp, reassoc]
 theorem imageSubobjectCompIso_hom_arrow (f : X ⟶ Y) [HasImage f] {Y' : C} (h : Y ⟶ Y') [IsIso h] :
     (imageSubobjectCompIso f h).Hom ≫ (imageSubobject f).arrow =
       (imageSubobject (f ≫ h)).arrow ≫ inv h :=
   by simp [image_subobject_comp_iso]
 #align category_theory.limits.image_subobject_comp_iso_hom_arrow CategoryTheory.Limits.imageSubobjectCompIso_hom_arrow
+-/
 
+#print CategoryTheory.Limits.imageSubobjectCompIso_inv_arrow /-
 @[simp, reassoc]
 theorem imageSubobjectCompIso_inv_arrow (f : X ⟶ Y) [HasImage f] {Y' : C} (h : Y ⟶ Y') [IsIso h] :
     (imageSubobjectCompIso f h).inv ≫ (imageSubobject (f ≫ h)).arrow =
       (imageSubobject f).arrow ≫ h :=
   by simp [image_subobject_comp_iso]
 #align category_theory.limits.image_subobject_comp_iso_inv_arrow CategoryTheory.Limits.imageSubobjectCompIso_inv_arrow
+-/
 
 end
 
@@ -475,6 +551,7 @@ theorem imageSubobject_iso_comp [HasEqualizers C] {X' : C} (h : X' ⟶ X) [IsIso
 #align category_theory.limits.image_subobject_iso_comp CategoryTheory.Limits.imageSubobject_iso_comp
 -/
 
+#print CategoryTheory.Limits.imageSubobject_le /-
 theorem imageSubobject_le {A B : C} {X : Subobject B} (f : A ⟶ B) [HasImage f] (h : A ⟶ X)
     (w : h ≫ X.arrow = f) : imageSubobject f ≤ X :=
   Subobject.le_of_comm
@@ -485,6 +562,7 @@ theorem imageSubobject_le {A B : C} {X : Subobject B} (f : A ⟶ B) [HasImage f]
           m := X.arrow })
     (by simp)
 #align category_theory.limits.image_subobject_le CategoryTheory.Limits.imageSubobject_le
+-/
 
 #print CategoryTheory.Limits.imageSubobject_le_mk /-
 theorem imageSubobject_le_mk {A B : C} {X : C} (g : X ⟶ B) [Mono g] (f : A ⟶ B) [HasImage f]

ce38d86c

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -240,11 +240,13 @@ theorem kernelSubobjectIsoComp_inv_arrow {X' : C} (f : X' ⟶ X) [IsIso f] (g :
   by simp [kernel_subobject_iso_comp]
 #align category_theory.limits.kernel_subobject_iso_comp_inv_arrow CategoryTheory.Limits.kernelSubobjectIsoComp_inv_arrow
 
+#print CategoryTheory.Limits.kernelSubobject_comp_le /-
 /-- The kernel of `f` is always a smaller subobject than the kernel of `f ≫ h`. -/
 theorem kernelSubobject_comp_le (f : X ⟶ Y) [HasKernel f] {Z : C} (h : Y ⟶ Z) [HasKernel (f ≫ h)] :
     kernelSubobject f ≤ kernelSubobject (f ≫ h) :=
   le_kernelSubobject _ _ (by simp)
 #align category_theory.limits.kernel_subobject_comp_le CategoryTheory.Limits.kernelSubobject_comp_le
+-/
 
 #print CategoryTheory.Limits.kernelSubobject_comp_mono /-
 /-- Postcomposing by an monomorphism does not change the kernel subobject. -/
@@ -385,15 +387,17 @@ theorem factorThruImageSubobject_comp_self_assoc {W W' : C} (k : W ⟶ W') (k' :
   simp
 #align category_theory.limits.factor_thru_image_subobject_comp_self_assoc CategoryTheory.Limits.factorThruImageSubobject_comp_self_assoc
 
+#print CategoryTheory.Limits.imageSubobject_comp_le /-
 /-- The image of `h ≫ f` is always a smaller subobject than the image of `f`. -/
 theorem imageSubobject_comp_le {X' : C} (h : X' ⟶ X) (f : X ⟶ Y) [HasImage f] [HasImage (h ≫ f)] :
     imageSubobject (h ≫ f) ≤ imageSubobject f :=
   Subobject.mk_le_mk_of_comm (image.preComp h f) (by simp)
 #align category_theory.limits.image_subobject_comp_le CategoryTheory.Limits.imageSubobject_comp_le
+-/
 
 section
 
-open ZeroObject
+open scoped ZeroObject
 
 variable [HasZeroMorphisms C] [HasZeroObject C]
 
@@ -482,10 +486,12 @@ theorem imageSubobject_le {A B : C} {X : Subobject B} (f : A ⟶ B) [HasImage f]
     (by simp)
 #align category_theory.limits.image_subobject_le CategoryTheory.Limits.imageSubobject_le
 
+#print CategoryTheory.Limits.imageSubobject_le_mk /-
 theorem imageSubobject_le_mk {A B : C} {X : C} (g : X ⟶ B) [Mono g] (f : A ⟶ B) [HasImage f]
     (h : A ⟶ X) (w : h ≫ g = f) : imageSubobject f ≤ Subobject.mk g :=
   imageSubobject_le f (h ≫ (Subobject.underlyingIso g).inv) (by simp [w])
 #align category_theory.limits.image_subobject_le_mk CategoryTheory.Limits.imageSubobject_le_mk
+-/
 
 #print CategoryTheory.Limits.imageSubobjectMap /-
 /-- Given a commutative square between morphisms `f` and `g`,

ce38d86c

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -49,48 +49,24 @@ abbrev equalizerSubobject : Subobject X :=
 #align category_theory.limits.equalizer_subobject CategoryTheory.Limits.equalizerSubobject
 -/
 
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 /-- The underlying object of `equalizer_subobject f g` is (up to isomorphism!)
 the same as the chosen object `equalizer f g`. -/
 def equalizerSubobjectIso : (equalizerSubobject f g : C) ≅ equalizer f g :=
   Subobject.underlyingIso (equalizer.ι f g)
 #align category_theory.limits.equalizer_subobject_iso CategoryTheory.Limits.equalizerSubobjectIso
 
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 @[simp, reassoc]
 theorem equalizerSubobject_arrow :
     (equalizerSubobjectIso f g).Hom ≫ equalizer.ι f g = (equalizerSubobject f g).arrow := by
   simp [equalizer_subobject_iso]
 #align category_theory.limits.equalizer_subobject_arrow CategoryTheory.Limits.equalizerSubobject_arrow
 
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 @[simp, reassoc]
 theorem equalizerSubobject_arrow' :
     (equalizerSubobjectIso f g).inv ≫ (equalizerSubobject f g).arrow = equalizer.ι f g := by
   simp [equalizer_subobject_iso]
 #align category_theory.limits.equalizer_subobject_arrow' CategoryTheory.Limits.equalizerSubobject_arrow'
 
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 @[reassoc]
 theorem equalizerSubobject_arrow_comp :
     (equalizerSubobject f g).arrow ≫ f = (equalizerSubobject f g).arrow ≫ g := by
@@ -127,45 +103,24 @@ abbrev kernelSubobject : Subobject X :=
 #align category_theory.limits.kernel_subobject CategoryTheory.Limits.kernelSubobject
 -/
 
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 /-- The underlying object of `kernel_subobject f` is (up to isomorphism!)
 the same as the chosen object `kernel f`. -/
 def kernelSubobjectIso : (kernelSubobject f : C) ≅ kernel f :=
   Subobject.underlyingIso (kernel.ι f)
 #align category_theory.limits.kernel_subobject_iso CategoryTheory.Limits.kernelSubobjectIso
 
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 @[simp, reassoc, elementwise]
 theorem kernelSubobject_arrow :
     (kernelSubobjectIso f).Hom ≫ kernel.ι f = (kernelSubobject f).arrow := by
   simp [kernel_subobject_iso]
 #align category_theory.limits.kernel_subobject_arrow CategoryTheory.Limits.kernelSubobject_arrow
 
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 @[simp, reassoc, elementwise]
 theorem kernelSubobject_arrow' :
     (kernelSubobjectIso f).inv ≫ (kernelSubobject f).arrow = kernel.ι f := by
   simp [kernel_subobject_iso]
 #align category_theory.limits.kernel_subobject_arrow' CategoryTheory.Limits.kernelSubobject_arrow'
 
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 @[simp, reassoc, elementwise]
 theorem kernelSubobject_arrow_comp : (kernelSubobject f).arrow ≫ f = 0 := by
   rw [← kernel_subobject_arrow]; simp only [category.assoc, kernel.condition, comp_zero]
@@ -188,35 +143,17 @@ theorem kernelSubobject_factors_iff {W : C} (h : W ⟶ X) :
 #align category_theory.limits.kernel_subobject_factors_iff CategoryTheory.Limits.kernelSubobject_factors_iff
 -/
 
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 /-- A factorisation of `h : W ⟶ X` through `kernel_subobject f`, assuming `h ≫ f = 0`. -/
 def factorThruKernelSubobject {W : C} (h : W ⟶ X) (w : h ≫ f = 0) : W ⟶ kernelSubobject f :=
   (kernelSubobject f).factorThru h (kernelSubobject_factors f h w)
 #align category_theory.limits.factor_thru_kernel_subobject CategoryTheory.Limits.factorThruKernelSubobject
 
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 @[simp]
 theorem factorThruKernelSubobject_comp_arrow {W : C} (h : W ⟶ X) (w : h ≫ f = 0) :
     factorThruKernelSubobject f h w ≫ (kernelSubobject f).arrow = h := by
   dsimp [factor_thru_kernel_subobject]; simp
 #align category_theory.limits.factor_thru_kernel_subobject_comp_arrow CategoryTheory.Limits.factorThruKernelSubobject_comp_arrow
 
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 @[simp]
 theorem factorThruKernelSubobject_comp_kernelSubobjectIso {W : C} (h : W ⟶ X) (w : h ≫ f = 0) :
     factorThruKernelSubobject f h w ≫ (kernelSubobjectIso f).Hom = kernel.lift f h w :=
@@ -227,12 +164,6 @@ section
 
 variable {f} {X' Y' : C} {f' : X' ⟶ Y'} [HasKernel f']
 
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 /-- A commuting square induces a morphism between the kernel subobjects. -/
 def kernelSubobjectMap (sq : Arrow.mk f ⟶ Arrow.mk f') :
     (kernelSubobject f : C) ⟶ (kernelSubobject f' : C) :=
@@ -240,29 +171,17 @@ def kernelSubobjectMap (sq : Arrow.mk f ⟶ Arrow.mk f') :
     (kernelSubobject_factors _ _ (by simp [sq.w]))
 #align category_theory.limits.kernel_subobject_map CategoryTheory.Limits.kernelSubobjectMap
 
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 @[simp, reassoc, elementwise]
 theorem kernelSubobjectMap_arrow (sq : Arrow.mk f ⟶ Arrow.mk f') :
     kernelSubobjectMap sq ≫ (kernelSubobject f').arrow = (kernelSubobject f).arrow ≫ sq.left := by
   simp [kernel_subobject_map]
 #align category_theory.limits.kernel_subobject_map_arrow CategoryTheory.Limits.kernelSubobjectMap_arrow
 
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 @[simp]
 theorem kernelSubobjectMap_id : kernelSubobjectMap (𝟙 (Arrow.mk f)) = 𝟙 _ := by ext; simp; dsimp;
   simp
 #align category_theory.limits.kernel_subobject_map_id CategoryTheory.Limits.kernelSubobjectMap_id
 
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 -- See library note [dsimp, simp].
 @[simp]
 theorem kernelSubobjectMap_comp {X'' Y'' : C} {f'' : X'' ⟶ Y''} [HasKernel f'']
@@ -270,9 +189,6 @@ theorem kernelSubobjectMap_comp {X'' Y'' : C} {f'' : X'' ⟶ Y''} [HasKernel f''
     kernelSubobjectMap (sq ≫ sq') = kernelSubobjectMap sq ≫ kernelSubobjectMap sq' := by ext; simp
 #align category_theory.limits.kernel_subobject_map_comp CategoryTheory.Limits.kernelSubobjectMap_comp
 
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 @[reassoc]
 theorem kernel_map_comp_kernelSubobjectIso_inv (sq : Arrow.mk f ⟶ Arrow.mk f') :
     kernel.map f f' sq.1 sq.2 sq.3.symm ≫ (kernelSubobjectIso _).inv =
@@ -280,9 +196,6 @@ theorem kernel_map_comp_kernelSubobjectIso_inv (sq : Arrow.mk f ⟶ Arrow.mk f')
   by ext <;> simp
 #align category_theory.limits.kernel_map_comp_kernel_subobject_iso_inv CategoryTheory.Limits.kernel_map_comp_kernelSubobjectIso_inv
 
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 @[reassoc]
 theorem kernelSubobjectIso_comp_kernel_map (sq : Arrow.mk f ⟶ Arrow.mk f') :
     (kernelSubobjectIso _).Hom ≫ kernel.map f f' sq.1 sq.2 sq.3.symm =
@@ -292,40 +205,19 @@ theorem kernelSubobjectIso_comp_kernel_map (sq : Arrow.mk f ⟶ Arrow.mk f') :
 
 end
 
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 @[simp]
 theorem kernelSubobject_zero {A B : C} : kernelSubobject (0 : A ⟶ B) = ⊤ :=
   (isIso_iff_mk_eq_top _).mp (by infer_instance)
 #align category_theory.limits.kernel_subobject_zero CategoryTheory.Limits.kernelSubobject_zero
 
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 instance isIso_kernelSubobject_zero_arrow : IsIso (kernelSubobject (0 : X ⟶ Y)).arrow :=
   (isIso_arrow_iff_eq_top _).mpr kernelSubobject_zero
 #align category_theory.limits.is_iso_kernel_subobject_zero_arrow CategoryTheory.Limits.isIso_kernelSubobject_zero_arrow
 
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 theorem le_kernelSubobject (A : Subobject X) (h : A.arrow ≫ f = 0) : A ≤ kernelSubobject f :=
   Subobject.le_mk_of_comm (kernel.lift f A.arrow h) (by simp)
 #align category_theory.limits.le_kernel_subobject CategoryTheory.Limits.le_kernelSubobject
 
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 /-- The isomorphism between the kernel of `f ≫ g` and the kernel of `g`,
 when `f` is an isomorphism.
 -/
@@ -334,9 +226,6 @@ def kernelSubobjectIsoComp {X' : C} (f : X' ⟶ X) [IsIso f] (g : X ⟶ Y) [HasK
   kernelSubobjectIso _ ≪≫ kernelIsIsoComp f g ≪≫ (kernelSubobjectIso _).symm
 #align category_theory.limits.kernel_subobject_iso_comp CategoryTheory.Limits.kernelSubobjectIsoComp
 
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 @[simp]
 theorem kernelSubobjectIsoComp_hom_arrow {X' : C} (f : X' ⟶ X) [IsIso f] (g : X ⟶ Y) [HasKernel g] :
     (kernelSubobjectIsoComp f g).Hom ≫ (kernelSubobject g).arrow =
@@ -344,9 +233,6 @@ theorem kernelSubobjectIsoComp_hom_arrow {X' : C} (f : X' ⟶ X) [IsIso f] (g :
   by simp [kernel_subobject_iso_comp]
 #align category_theory.limits.kernel_subobject_iso_comp_hom_arrow CategoryTheory.Limits.kernelSubobjectIsoComp_hom_arrow
 
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 @[simp]
 theorem kernelSubobjectIsoComp_inv_arrow {X' : C} (f : X' ⟶ X) [IsIso f] (g : X ⟶ Y) [HasKernel g] :
     (kernelSubobjectIsoComp f g).inv ≫ (kernelSubobject (f ≫ g)).arrow =
@@ -354,12 +240,6 @@ theorem kernelSubobjectIsoComp_inv_arrow {X' : C} (f : X' ⟶ X) [IsIso f] (g :
   by simp [kernel_subobject_iso_comp]
 #align category_theory.limits.kernel_subobject_iso_comp_inv_arrow CategoryTheory.Limits.kernelSubobjectIsoComp_inv_arrow
 
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 /-- The kernel of `f` is always a smaller subobject than the kernel of `f ≫ h`. -/
 theorem kernelSubobject_comp_le (f : X ⟶ Y) [HasKernel f] {Z : C} (h : Y ⟶ Z) [HasKernel (f ≫ h)] :
     kernelSubobject f ≤ kernelSubobject (f ≫ h) :=
@@ -375,12 +255,6 @@ theorem kernelSubobject_comp_mono (f : X ⟶ Y) [HasKernel f] {Z : C} (h : Y ⟶
 #align category_theory.limits.kernel_subobject_comp_mono CategoryTheory.Limits.kernelSubobject_comp_mono
 -/
 
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 instance kernelSubobject_comp_mono_isIso (f : X ⟶ Y) [HasKernel f] {Z : C} (h : Y ⟶ Z) [Mono h] :
     IsIso (Subobject.ofLE _ _ (kernelSubobject_comp_le f h)) :=
   by
@@ -459,46 +333,22 @@ abbrev imageSubobject : Subobject Y :=
 #align category_theory.limits.image_subobject CategoryTheory.Limits.imageSubobject
 -/
 
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 /-- The underlying object of `image_subobject f` is (up to isomorphism!)
 the same as the chosen object `image f`. -/
 def imageSubobjectIso : (imageSubobject f : C) ≅ image f :=
   Subobject.underlyingIso (image.ι f)
 #align category_theory.limits.image_subobject_iso CategoryTheory.Limits.imageSubobjectIso
 
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 @[simp, reassoc]
 theorem imageSubobject_arrow : (imageSubobjectIso f).Hom ≫ image.ι f = (imageSubobject f).arrow :=
   by simp [image_subobject_iso]
 #align category_theory.limits.image_subobject_arrow CategoryTheory.Limits.imageSubobject_arrow
 
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 @[simp, reassoc]
 theorem imageSubobject_arrow' : (imageSubobjectIso f).inv ≫ (imageSubobject f).arrow = image.ι f :=
   by simp [image_subobject_iso]
 #align category_theory.limits.image_subobject_arrow' CategoryTheory.Limits.imageSubobject_arrow'
 
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 /-- A factorisation of `f : X ⟶ Y` through `image_subobject f`. -/
 def factorThruImageSubobject : X ⟶ imageSubobject f :=
   factorThruImage f ≫ (imageSubobjectIso f).inv
@@ -507,20 +357,11 @@ def factorThruImageSubobject : X ⟶ imageSubobject f :=
 instance [HasEqualizers C] : Epi (factorThruImageSubobject f) := by
   dsimp [factor_thru_image_subobject]; apply epi_comp
 
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 @[simp, reassoc, elementwise]
 theorem imageSubobject_arrow_comp : factorThruImageSubobject f ≫ (imageSubobject f).arrow = f := by
   simp [factor_thru_image_subobject, image_subobject_arrow]
 #align category_theory.limits.image_subobject_arrow_comp CategoryTheory.Limits.imageSubobject_arrow_comp
 
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 theorem imageSubobject_arrow_comp_eq_zero [HasZeroMorphisms C] {X Y Z : C} {f : X ⟶ Y} {g : Y ⟶ Z}
     [HasImage f] [Epi (factorThruImageSubobject f)] (h : f ≫ g = 0) :
     (imageSubobject f).arrow ≫ g = 0 :=
@@ -533,35 +374,17 @@ theorem imageSubobject_factors_comp_self {W : C} (k : W ⟶ X) : (imageSubobject
 #align category_theory.limits.image_subobject_factors_comp_self CategoryTheory.Limits.imageSubobject_factors_comp_self
 -/
 
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 @[simp]
 theorem factorThruImageSubobject_comp_self {W : C} (k : W ⟶ X) (h) :
     (imageSubobject f).factorThru (k ≫ f) h = k ≫ factorThruImageSubobject f := by ext; simp
 #align category_theory.limits.factor_thru_image_subobject_comp_self CategoryTheory.Limits.factorThruImageSubobject_comp_self
 
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 @[simp]
 theorem factorThruImageSubobject_comp_self_assoc {W W' : C} (k : W ⟶ W') (k' : W' ⟶ X) (h) :
     (imageSubobject f).factorThru (k ≫ k' ≫ f) h = k ≫ k' ≫ factorThruImageSubobject f := by ext;
   simp
 #align category_theory.limits.factor_thru_image_subobject_comp_self_assoc CategoryTheory.Limits.factorThruImageSubobject_comp_self_assoc
 
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 /-- The image of `h ≫ f` is always a smaller subobject than the image of `f`. -/
 theorem imageSubobject_comp_le {X' : C} (h : X' ⟶ X) (f : X ⟶ Y) [HasImage f] [HasImage (h ≫ f)] :
     imageSubobject (h ≫ f) ≤ imageSubobject f :=
@@ -574,20 +397,11 @@ open ZeroObject
 
 variable [HasZeroMorphisms C] [HasZeroObject C]
 
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-<too large>
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 @[simp]
 theorem imageSubobject_zero_arrow : (imageSubobject (0 : X ⟶ Y)).arrow = 0 := by
   rw [← image_subobject_arrow]; simp
 #align category_theory.limits.image_subobject_zero_arrow CategoryTheory.Limits.imageSubobject_zero_arrow
 
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 @[simp]
 theorem imageSubobject_zero {A B : C} : imageSubobject (0 : A ⟶ B) = ⊥ :=
   Subobject.eq_of_comm (imageSubobjectIso _ ≪≫ imageZero ≪≫ Subobject.botCoeIsoZero.symm) (by simp)
@@ -601,12 +415,6 @@ variable [HasEqualizers C]
 
 attribute [local instance] epi_comp
 
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 /-- The morphism `image_subobject (h ≫ f) ⟶ image_subobject f`
 is an epimorphism when `h` is an epimorphism.
 In general this does not imply that `image_subobject (h ≫ f) = image_subobject f`,
@@ -626,21 +434,12 @@ section
 
 variable [HasEqualizers C]
 
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 /-- Postcomposing by an isomorphism gives an isomorphism between image subobjects. -/
 def imageSubobjectCompIso (f : X ⟶ Y) [HasImage f] {Y' : C} (h : Y ⟶ Y') [IsIso h] :
     (imageSubobject (f ≫ h) : C) ≅ (imageSubobject f : C) :=
   imageSubobjectIso _ ≪≫ (image.compIso _ _).symm ≪≫ (imageSubobjectIso _).symm
 #align category_theory.limits.image_subobject_comp_iso CategoryTheory.Limits.imageSubobjectCompIso
 
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-<too large>
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 @[simp, reassoc]
 theorem imageSubobjectCompIso_hom_arrow (f : X ⟶ Y) [HasImage f] {Y' : C} (h : Y ⟶ Y') [IsIso h] :
     (imageSubobjectCompIso f h).Hom ≫ (imageSubobject f).arrow =
@@ -648,9 +447,6 @@ theorem imageSubobjectCompIso_hom_arrow (f : X ⟶ Y) [HasImage f] {Y' : C} (h :
   by simp [image_subobject_comp_iso]
 #align category_theory.limits.image_subobject_comp_iso_hom_arrow CategoryTheory.Limits.imageSubobjectCompIso_hom_arrow
 
-/- warning: category_theory.limits.image_subobject_comp_iso_inv_arrow -> CategoryTheory.Limits.imageSubobjectCompIso_inv_arrow is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_comp_iso_inv_arrow CategoryTheory.Limits.imageSubobjectCompIso_inv_arrowₓ'. -/
 @[simp, reassoc]
 theorem imageSubobjectCompIso_inv_arrow (f : X ⟶ Y) [HasImage f] {Y' : C} (h : Y ⟶ Y') [IsIso h] :
     (imageSubobjectCompIso f h).inv ≫ (imageSubobject (f ≫ h)).arrow =
@@ -675,12 +471,6 @@ theorem imageSubobject_iso_comp [HasEqualizers C] {X' : C} (h : X' ⟶ X) [IsIso
 #align category_theory.limits.image_subobject_iso_comp CategoryTheory.Limits.imageSubobject_iso_comp
 -/
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_le CategoryTheory.Limits.imageSubobject_leₓ'. -/
 theorem imageSubobject_le {A B : C} {X : Subobject B} (f : A ⟶ B) [HasImage f] (h : A ⟶ X)
     (w : h ≫ X.arrow = f) : imageSubobject f ≤ X :=
   Subobject.le_of_comm
@@ -692,12 +482,6 @@ theorem imageSubobject_le {A B : C} {X : Subobject B} (f : A ⟶ B) [HasImage f]
     (by simp)
 #align category_theory.limits.image_subobject_le CategoryTheory.Limits.imageSubobject_le
 
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 theorem imageSubobject_le_mk {A B : C} {X : C} (g : X ⟶ B) [Mono g] (f : A ⟶ B) [HasImage f]
     (h : A ⟶ X) (w : h ≫ g = f) : imageSubobject f ≤ Subobject.mk g :=
   imageSubobject_le f (h ≫ (Subobject.underlyingIso g).inv) (by simp [w])

ce38d86c

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -167,10 +167,8 @@ theorem kernelSubobject_arrow' :
 <too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_arrow_comp CategoryTheory.Limits.kernelSubobject_arrow_compₓ'. -/
 @[simp, reassoc, elementwise]
-theorem kernelSubobject_arrow_comp : (kernelSubobject f).arrow ≫ f = 0 :=
-  by
-  rw [← kernel_subobject_arrow]
-  simp only [category.assoc, kernel.condition, comp_zero]
+theorem kernelSubobject_arrow_comp : (kernelSubobject f).arrow ≫ f = 0 := by
+  rw [← kernel_subobject_arrow]; simp only [category.assoc, kernel.condition, comp_zero]
 #align category_theory.limits.kernel_subobject_arrow_comp CategoryTheory.Limits.kernelSubobject_arrow_comp
 
 #print CategoryTheory.Limits.kernelSubobject_factors /-
@@ -209,10 +207,8 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.factor_thru_kernel_subobject_comp_arrow CategoryTheory.Limits.factorThruKernelSubobject_comp_arrowₓ'. -/
 @[simp]
 theorem factorThruKernelSubobject_comp_arrow {W : C} (h : W ⟶ X) (w : h ≫ f = 0) :
-    factorThruKernelSubobject f h w ≫ (kernelSubobject f).arrow = h :=
-  by
-  dsimp [factor_thru_kernel_subobject]
-  simp
+    factorThruKernelSubobject f h w ≫ (kernelSubobject f).arrow = h := by
+  dsimp [factor_thru_kernel_subobject]; simp
 #align category_theory.limits.factor_thru_kernel_subobject_comp_arrow CategoryTheory.Limits.factorThruKernelSubobject_comp_arrow
 
 /- warning: category_theory.limits.factor_thru_kernel_subobject_comp_kernel_subobject_iso -> CategoryTheory.Limits.factorThruKernelSubobject_comp_kernelSubobjectIso is a dubious translation:
@@ -260,11 +256,7 @@ but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y} [_inst_3 : CategoryTheory.Limits.HasKernel.{u1, u2} C _inst_1 _inst_2 X Y f], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3))) (CategoryTheory.Limits.kernelSubobjectMap.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3 X Y f _inst_3 (CategoryTheory.CategoryStruct.id.{u1, max u2 u1} (CategoryTheory.Arrow.{u1, u2} C _inst_1) (CategoryTheory.Category.toCategoryStruct.{u1, max u2 u1} (CategoryTheory.Arrow.{u1, u2} C _inst_1) (CategoryTheory.instCategoryArrow.{u1, u2} C _inst_1)) (CategoryTheory.Arrow.mk.{u1, u2} C _inst_1 X Y f))) (CategoryTheory.CategoryStruct.id.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_map_id CategoryTheory.Limits.kernelSubobjectMap_idₓ'. -/
 @[simp]
-theorem kernelSubobjectMap_id : kernelSubobjectMap (𝟙 (Arrow.mk f)) = 𝟙 _ :=
-  by
-  ext
-  simp
-  dsimp
+theorem kernelSubobjectMap_id : kernelSubobjectMap (𝟙 (Arrow.mk f)) = 𝟙 _ := by ext; simp; dsimp;
   simp
 #align category_theory.limits.kernel_subobject_map_id CategoryTheory.Limits.kernelSubobjectMap_id
 
@@ -275,10 +267,7 @@ Case conversion may be inaccurate. Consider using '#align category_theory.limits
 @[simp]
 theorem kernelSubobjectMap_comp {X'' Y'' : C} {f'' : X'' ⟶ Y''} [HasKernel f'']
     (sq : Arrow.mk f ⟶ Arrow.mk f') (sq' : Arrow.mk f' ⟶ Arrow.mk f'') :
-    kernelSubobjectMap (sq ≫ sq') = kernelSubobjectMap sq ≫ kernelSubobjectMap sq' :=
-  by
-  ext
-  simp
+    kernelSubobjectMap (sq ≫ sq') = kernelSubobjectMap sq ≫ kernelSubobjectMap sq' := by ext; simp
 #align category_theory.limits.kernel_subobject_map_comp CategoryTheory.Limits.kernelSubobjectMap_comp
 
 /- warning: category_theory.limits.kernel_map_comp_kernel_subobject_iso_inv -> CategoryTheory.Limits.kernel_map_comp_kernelSubobjectIso_inv is a dubious translation:
@@ -515,10 +504,8 @@ def factorThruImageSubobject : X ⟶ imageSubobject f :=
   factorThruImage f ≫ (imageSubobjectIso f).inv
 #align category_theory.limits.factor_thru_image_subobject CategoryTheory.Limits.factorThruImageSubobject
 
-instance [HasEqualizers C] : Epi (factorThruImageSubobject f) :=
-  by
-  dsimp [factor_thru_image_subobject]
-  apply epi_comp
+instance [HasEqualizers C] : Epi (factorThruImageSubobject f) := by
+  dsimp [factor_thru_image_subobject]; apply epi_comp
 
 /- warning: category_theory.limits.image_subobject_arrow_comp -> CategoryTheory.Limits.imageSubobject_arrow_comp is a dubious translation:
 lean 3 declaration is
@@ -554,10 +541,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.factor_thru_image_subobject_comp_self CategoryTheory.Limits.factorThruImageSubobject_comp_selfₓ'. -/
 @[simp]
 theorem factorThruImageSubobject_comp_self {W : C} (k : W ⟶ X) (h) :
-    (imageSubobject f).factorThru (k ≫ f) h = k ≫ factorThruImageSubobject f :=
-  by
-  ext
-  simp
+    (imageSubobject f).factorThru (k ≫ f) h = k ≫ factorThruImageSubobject f := by ext; simp
 #align category_theory.limits.factor_thru_image_subobject_comp_self CategoryTheory.Limits.factorThruImageSubobject_comp_self
 
 /- warning: category_theory.limits.factor_thru_image_subobject_comp_self_assoc -> CategoryTheory.Limits.factorThruImageSubobject_comp_self_assoc is a dubious translation:
@@ -568,9 +552,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.factor_thru_image_subobject_comp_self_assoc CategoryTheory.Limits.factorThruImageSubobject_comp_self_assocₓ'. -/
 @[simp]
 theorem factorThruImageSubobject_comp_self_assoc {W W' : C} (k : W ⟶ W') (k' : W' ⟶ X) (h) :
-    (imageSubobject f).factorThru (k ≫ k' ≫ f) h = k ≫ k' ≫ factorThruImageSubobject f :=
-  by
-  ext
+    (imageSubobject f).factorThru (k ≫ k' ≫ f) h = k ≫ k' ≫ factorThruImageSubobject f := by ext;
   simp
 #align category_theory.limits.factor_thru_image_subobject_comp_self_assoc CategoryTheory.Limits.factorThruImageSubobject_comp_self_assoc
 
@@ -596,10 +578,8 @@ variable [HasZeroMorphisms C] [HasZeroObject C]
 <too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_zero_arrow CategoryTheory.Limits.imageSubobject_zero_arrowₓ'. -/
 @[simp]
-theorem imageSubobject_zero_arrow : (imageSubobject (0 : X ⟶ Y)).arrow = 0 :=
-  by
-  rw [← image_subobject_arrow]
-  simp
+theorem imageSubobject_zero_arrow : (imageSubobject (0 : X ⟶ Y)).arrow = 0 := by
+  rw [← image_subobject_arrow]; simp
 #align category_theory.limits.image_subobject_zero_arrow CategoryTheory.Limits.imageSubobject_zero_arrow
 
 /- warning: category_theory.limits.image_subobject_zero -> CategoryTheory.Limits.imageSubobject_zero is a dubious translation:

ce38d86c

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -164,10 +164,7 @@ theorem kernelSubobject_arrow' :
 #align category_theory.limits.kernel_subobject_arrow' CategoryTheory.Limits.kernelSubobject_arrow'
 
 /- warning: category_theory.limits.kernel_subobject_arrow_comp -> CategoryTheory.Limits.kernelSubobject_arrow_comp is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_arrow_comp CategoryTheory.Limits.kernelSubobject_arrow_compₓ'. -/
 @[simp, reassoc, elementwise]
 theorem kernelSubobject_arrow_comp : (kernelSubobject f).arrow ≫ f = 0 :=
@@ -248,10 +245,7 @@ def kernelSubobjectMap (sq : Arrow.mk f ⟶ Arrow.mk f') :
 #align category_theory.limits.kernel_subobject_map CategoryTheory.Limits.kernelSubobjectMap
 
 /- warning: category_theory.limits.kernel_subobject_map_arrow -> CategoryTheory.Limits.kernelSubobjectMap_arrow is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_map_arrow CategoryTheory.Limits.kernelSubobjectMap_arrowₓ'. -/
 @[simp, reassoc, elementwise]
 theorem kernelSubobjectMap_arrow (sq : Arrow.mk f ⟶ Arrow.mk f') :
@@ -275,10 +269,7 @@ theorem kernelSubobjectMap_id : kernelSubobjectMap (𝟙 (Arrow.mk f)) = 𝟙 _
 #align category_theory.limits.kernel_subobject_map_id CategoryTheory.Limits.kernelSubobjectMap_id
 
 /- warning: category_theory.limits.kernel_subobject_map_comp -> CategoryTheory.Limits.kernelSubobjectMap_comp is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_map_comp CategoryTheory.Limits.kernelSubobjectMap_compₓ'. -/
 -- See library note [dsimp, simp].
 @[simp]
@@ -291,10 +282,7 @@ theorem kernelSubobjectMap_comp {X'' Y'' : C} {f'' : X'' ⟶ Y''} [HasKernel f''
 #align category_theory.limits.kernel_subobject_map_comp CategoryTheory.Limits.kernelSubobjectMap_comp
 
 /- warning: category_theory.limits.kernel_map_comp_kernel_subobject_iso_inv -> CategoryTheory.Limits.kernel_map_comp_kernelSubobjectIso_inv is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_map_comp_kernel_subobject_iso_inv CategoryTheory.Limits.kernel_map_comp_kernelSubobjectIso_invₓ'. -/
 @[reassoc]
 theorem kernel_map_comp_kernelSubobjectIso_inv (sq : Arrow.mk f ⟶ Arrow.mk f') :
@@ -304,10 +292,7 @@ theorem kernel_map_comp_kernelSubobjectIso_inv (sq : Arrow.mk f ⟶ Arrow.mk f')
 #align category_theory.limits.kernel_map_comp_kernel_subobject_iso_inv CategoryTheory.Limits.kernel_map_comp_kernelSubobjectIso_inv
 
 /- warning: category_theory.limits.kernel_subobject_iso_comp_kernel_map -> CategoryTheory.Limits.kernelSubobjectIso_comp_kernel_map is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_iso_comp_kernel_map CategoryTheory.Limits.kernelSubobjectIso_comp_kernel_mapₓ'. -/
 @[reassoc]
 theorem kernelSubobjectIso_comp_kernel_map (sq : Arrow.mk f ⟶ Arrow.mk f') :
@@ -340,10 +325,7 @@ instance isIso_kernelSubobject_zero_arrow : IsIso (kernelSubobject (0 : X ⟶ Y)
 #align category_theory.limits.is_iso_kernel_subobject_zero_arrow CategoryTheory.Limits.isIso_kernelSubobject_zero_arrow
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.le_kernel_subobject CategoryTheory.Limits.le_kernelSubobjectₓ'. -/
 theorem le_kernelSubobject (A : Subobject X) (h : A.arrow ≫ f = 0) : A ≤ kernelSubobject f :=
   Subobject.le_mk_of_comm (kernel.lift f A.arrow h) (by simp)
@@ -364,10 +346,7 @@ def kernelSubobjectIsoComp {X' : C} (f : X' ⟶ X) [IsIso f] (g : X ⟶ Y) [HasK
 #align category_theory.limits.kernel_subobject_iso_comp CategoryTheory.Limits.kernelSubobjectIsoComp
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_iso_comp_hom_arrow CategoryTheory.Limits.kernelSubobjectIsoComp_hom_arrowₓ'. -/
 @[simp]
 theorem kernelSubobjectIsoComp_hom_arrow {X' : C} (f : X' ⟶ X) [IsIso f] (g : X ⟶ Y) [HasKernel g] :
@@ -377,10 +356,7 @@ theorem kernelSubobjectIsoComp_hom_arrow {X' : C} (f : X' ⟶ X) [IsIso f] (g :
 #align category_theory.limits.kernel_subobject_iso_comp_hom_arrow CategoryTheory.Limits.kernelSubobjectIsoComp_hom_arrow
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_iso_comp_inv_arrow CategoryTheory.Limits.kernelSubobjectIsoComp_inv_arrowₓ'. -/
 @[simp]
 theorem kernelSubobjectIsoComp_inv_arrow {X' : C} (f : X' ⟶ X) [IsIso f] (g : X ⟶ Y) [HasKernel g] :
@@ -556,10 +532,7 @@ theorem imageSubobject_arrow_comp : factorThruImageSubobject f ≫ (imageSubobje
 #align category_theory.limits.image_subobject_arrow_comp CategoryTheory.Limits.imageSubobject_arrow_comp
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_arrow_comp_eq_zero CategoryTheory.Limits.imageSubobject_arrow_comp_eq_zeroₓ'. -/
 theorem imageSubobject_arrow_comp_eq_zero [HasZeroMorphisms C] {X Y Z : C} {f : X ⟶ Y} {g : Y ⟶ Z}
     [HasImage f] [Epi (factorThruImageSubobject f)] (h : f ≫ g = 0) :
@@ -620,10 +593,7 @@ open ZeroObject
 variable [HasZeroMorphisms C] [HasZeroObject C]
 
 /- warning: category_theory.limits.image_subobject_zero_arrow -> CategoryTheory.Limits.imageSubobject_zero_arrow is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_zero_arrow CategoryTheory.Limits.imageSubobject_zero_arrowₓ'. -/
 @[simp]
 theorem imageSubobject_zero_arrow : (imageSubobject (0 : X ⟶ Y)).arrow = 0 :=
@@ -689,10 +659,7 @@ def imageSubobjectCompIso (f : X ⟶ Y) [HasImage f] {Y' : C} (h : Y ⟶ Y') [Is
 #align category_theory.limits.image_subobject_comp_iso CategoryTheory.Limits.imageSubobjectCompIso
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_comp_iso_hom_arrow CategoryTheory.Limits.imageSubobjectCompIso_hom_arrowₓ'. -/
 @[simp, reassoc]
 theorem imageSubobjectCompIso_hom_arrow (f : X ⟶ Y) [HasImage f] {Y' : C} (h : Y ⟶ Y') [IsIso h] :
@@ -702,10 +669,7 @@ theorem imageSubobjectCompIso_hom_arrow (f : X ⟶ Y) [HasImage f] {Y' : C} (h :
 #align category_theory.limits.image_subobject_comp_iso_hom_arrow CategoryTheory.Limits.imageSubobjectCompIso_hom_arrow
 
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(CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_4)) Y Y' (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 Y (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_4)) h)
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_comp_iso_inv_arrow CategoryTheory.Limits.imageSubobjectCompIso_inv_arrowₓ'. -/
 @[simp, reassoc]
 theorem imageSubobjectCompIso_inv_arrow (f : X ⟶ Y) [HasImage f] {Y' : C} (h : Y ⟶ Y') [IsIso h] :

ce38d86c

bump to nightly-2023-05-23-03

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

ed98987c

Diff

@@ -67,7 +67,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_2 : CategoryTheory.Limits.HasEqualizer.{u1, u2} C _inst_1 X Y f g], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.equalizerSubobject.{u1, u2} C _inst_1 X Y f g _inst_2)) X) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.equalizerSubobject.{u1, u2} C _inst_1 X Y f g _inst_2)) (CategoryTheory.Limits.equalizer.{u1, u2} C _inst_1 X Y f g _inst_2) X (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.equalizerSubobject.{u1, u2} C _inst_1 X Y f g _inst_2)) (CategoryTheory.Limits.equalizer.{u1, u2} C _inst_1 X Y f g _inst_2) (CategoryTheory.Limits.equalizerSubobjectIso.{u1, u2} C _inst_1 X Y f g _inst_2)) (CategoryTheory.Limits.equalizer.ι.{u1, u2} C _inst_1 X Y f g _inst_2)) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 X (CategoryTheory.Limits.equalizerSubobject.{u1, u2} C _inst_1 X Y f g _inst_2))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.equalizer_subobject_arrow CategoryTheory.Limits.equalizerSubobject_arrowₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem equalizerSubobject_arrow :
     (equalizerSubobjectIso f g).Hom ≫ equalizer.ι f g = (equalizerSubobject f g).arrow := by
   simp [equalizer_subobject_iso]
@@ -79,7 +79,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_2 : CategoryTheory.Limits.HasEqualizer.{u1, u2} C _inst_1 X Y f g], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Limits.equalizer.{u1, u2} C _inst_1 X Y f g _inst_2) X) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.Limits.equalizer.{u1, u2} C _inst_1 X Y f g _inst_2) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.equalizerSubobject.{u1, u2} C _inst_1 X Y f g _inst_2)) X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.equalizerSubobject.{u1, u2} C _inst_1 X Y f g _inst_2)) (CategoryTheory.Limits.equalizer.{u1, u2} C _inst_1 X Y f g _inst_2) (CategoryTheory.Limits.equalizerSubobjectIso.{u1, u2} C _inst_1 X Y f g _inst_2)) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 X (CategoryTheory.Limits.equalizerSubobject.{u1, u2} C _inst_1 X Y f g _inst_2))) (CategoryTheory.Limits.equalizer.ι.{u1, u2} C _inst_1 X Y f g _inst_2)
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.equalizer_subobject_arrow' CategoryTheory.Limits.equalizerSubobject_arrow'ₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem equalizerSubobject_arrow' :
     (equalizerSubobjectIso f g).inv ≫ (equalizerSubobject f g).arrow = equalizer.ι f g := by
   simp [equalizer_subobject_iso]
@@ -91,7 +91,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_2 : CategoryTheory.Limits.HasEqualizer.{u1, u2} C _inst_1 X Y f g], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.equalizerSubobject.{u1, u2} C _inst_1 X Y f g _inst_2)) Y) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.equalizerSubobject.{u1, u2} C _inst_1 X Y f g _inst_2)) X Y (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 X (CategoryTheory.Limits.equalizerSubobject.{u1, u2} C _inst_1 X Y f g _inst_2)) f) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.equalizerSubobject.{u1, u2} C _inst_1 X Y f g _inst_2)) X Y (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 X (CategoryTheory.Limits.equalizerSubobject.{u1, u2} C _inst_1 X Y f g _inst_2)) g)
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.equalizer_subobject_arrow_comp CategoryTheory.Limits.equalizerSubobject_arrow_compₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem equalizerSubobject_arrow_comp :
     (equalizerSubobject f g).arrow ≫ f = (equalizerSubobject f g).arrow ≫ g := by
   rw [← equalizer_subobject_arrow, category.assoc, category.assoc, equalizer.condition]
@@ -145,7 +145,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_3 : CategoryTheory.Limits.HasKernel.{u1, u2} C _inst_1 _inst_2 X Y f], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) X) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) (CategoryTheory.Limits.kernel.{u1, u2} C _inst_1 _inst_2 X Y f _inst_3) X (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) (CategoryTheory.Limits.kernel.{u1, u2} C _inst_1 _inst_2 X Y f _inst_3) (CategoryTheory.Limits.kernelSubobjectIso.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) (CategoryTheory.Limits.kernel.ι.{u1, u2} C _inst_1 _inst_2 X Y f _inst_3)) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 X (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_arrow CategoryTheory.Limits.kernelSubobject_arrowₓ'. -/
-@[simp, reassoc.1, elementwise]
+@[simp, reassoc, elementwise]
 theorem kernelSubobject_arrow :
     (kernelSubobjectIso f).Hom ≫ kernel.ι f = (kernelSubobject f).arrow := by
   simp [kernel_subobject_iso]
@@ -157,7 +157,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_3 : CategoryTheory.Limits.HasKernel.{u1, u2} C _inst_1 _inst_2 X Y f], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Limits.kernel.{u1, u2} C _inst_1 _inst_2 X Y f _inst_3) X) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.Limits.kernel.{u1, u2} C _inst_1 _inst_2 X Y f _inst_3) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) X (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) (CategoryTheory.Limits.kernel.{u1, u2} C _inst_1 _inst_2 X Y f _inst_3) (CategoryTheory.Limits.kernelSubobjectIso.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 X (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3))) (CategoryTheory.Limits.kernel.ι.{u1, u2} C _inst_1 _inst_2 X Y f _inst_3)
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_arrow' CategoryTheory.Limits.kernelSubobject_arrow'ₓ'. -/
-@[simp, reassoc.1, elementwise]
+@[simp, reassoc, elementwise]
 theorem kernelSubobject_arrow' :
     (kernelSubobjectIso f).inv ≫ (kernelSubobject f).arrow = kernel.ι f := by
   simp [kernel_subobject_iso]
@@ -169,7 +169,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_3 : CategoryTheory.Limits.HasKernel.{u1, u2} C _inst_1 _inst_2 X Y f], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) Y) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) X Y (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 X (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) f) (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) Y) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) Y) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) Y)))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_arrow_comp CategoryTheory.Limits.kernelSubobject_arrow_compₓ'. -/
-@[simp, reassoc.1, elementwise]
+@[simp, reassoc, elementwise]
 theorem kernelSubobject_arrow_comp : (kernelSubobject f).arrow ≫ f = 0 :=
   by
   rw [← kernel_subobject_arrow]
@@ -253,7 +253,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y} [_inst_3 : CategoryTheory.Limits.HasKernel.{u1, u2} C _inst_1 _inst_2 X Y f] {X' : C} {Y' : C} {f' : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X' Y'} [_inst_4 : CategoryTheory.Limits.HasKernel.{u1, u2} C _inst_1 _inst_2 X' Y' f'] (sq : Quiver.Hom.{succ u1, max u2 u1} (CategoryTheory.Arrow.{u1, u2} C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u2 u1} (CategoryTheory.Arrow.{u1, u2} C _inst_1) (CategoryTheory.Category.toCategoryStruct.{u1, max u2 u1} (CategoryTheory.Arrow.{u1, u2} C _inst_1) (CategoryTheory.instCategoryArrow.{u1, u2} C _inst_1))) (CategoryTheory.Arrow.mk.{u1, u2} C _inst_1 X Y f) (CategoryTheory.Arrow.mk.{u1, u2} C _inst_1 X' Y' f')), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 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(PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X') (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X') 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(CategoryTheory.Limits.kernelSubobjectMap.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3 X' Y' f' _inst_4 sq) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 X' (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X' Y' _inst_2 f' _inst_4))) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) X (CategoryTheory.Comma.left.{u1, u1, u1, u2, u2, u2} C _inst_1 C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1) (CategoryTheory.Functor.id.{u1, u2} C _inst_1) (CategoryTheory.Arrow.mk.{u1, u2} C _inst_1 X' Y' f')) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 X (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) (CategoryTheory.CommaMorphism.left.{u1, u1, u1, u2, u2, u2} C _inst_1 C _inst_1 C _inst_1 (CategoryTheory.Functor.id.{u1, u2} C _inst_1) (CategoryTheory.Functor.id.{u1, u2} C _inst_1) (CategoryTheory.Arrow.mk.{u1, u2} C _inst_1 X Y f) (CategoryTheory.Arrow.mk.{u1, u2} C _inst_1 X' Y' f') sq))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_map_arrow CategoryTheory.Limits.kernelSubobjectMap_arrowₓ'. -/
-@[simp, reassoc.1, elementwise]
+@[simp, reassoc, elementwise]
 theorem kernelSubobjectMap_arrow (sq : Arrow.mk f ⟶ Arrow.mk f') :
     kernelSubobjectMap sq ≫ (kernelSubobject f').arrow = (kernelSubobject f).arrow ≫ sq.left := by
   simp [kernel_subobject_map]
@@ -296,7 +296,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y} [_inst_3 : CategoryTheory.Limits.HasKernel.{u1, u2} C _inst_1 _inst_2 X Y f] {X' : C} {Y' : C} {f' : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X' Y'} [_inst_4 : CategoryTheory.Limits.HasKernel.{u1, u2} C _inst_1 _inst_2 X' Y' f'] (sq : Quiver.Hom.{succ u1, max u2 u1} (CategoryTheory.Arrow.{u1, u2} C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u2 u1} (CategoryTheory.Arrow.{u1, u2} C _inst_1) (CategoryTheory.Category.toCategoryStruct.{u1, max u2 u1} (CategoryTheory.Arrow.{u1, u2} C _inst_1) (CategoryTheory.instCategoryArrow.{u1, u2} C _inst_1))) 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) (CategoryTheory.Limits.kernel.{u1, u2} C _inst_1 _inst_2 X Y f _inst_3) (CategoryTheory.Limits.kernelSubobjectIso.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3)) (CategoryTheory.Limits.kernelSubobjectMap.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3 X' Y' f' _inst_4 sq))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_map_comp_kernel_subobject_iso_inv CategoryTheory.Limits.kernel_map_comp_kernelSubobjectIso_invₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem kernel_map_comp_kernelSubobjectIso_inv (sq : Arrow.mk f ⟶ Arrow.mk f') :
     kernel.map f f' sq.1 sq.2 sq.3.symm ≫ (kernelSubobjectIso _).inv =
       (kernelSubobjectIso _).inv ≫ kernelSubobjectMap sq :=
@@ -309,7 +309,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y} [_inst_3 : CategoryTheory.Limits.HasKernel.{u1, u2} C _inst_1 _inst_2 X Y f] {X' : C} {Y' : C} {f' : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X' Y'} [_inst_4 : CategoryTheory.Limits.HasKernel.{u1, u2} C _inst_1 _inst_2 X' Y' f'] (sq : Quiver.Hom.{succ u1, max u2 u1} (CategoryTheory.Arrow.{u1, u2} C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u2 u1} (CategoryTheory.Arrow.{u1, u2} C _inst_1) (CategoryTheory.Category.toCategoryStruct.{u1, max u2 u1} (CategoryTheory.Arrow.{u1, u2} C _inst_1) (CategoryTheory.instCategoryArrow.{u1, u2} C _inst_1))) 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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_iso_comp_kernel_map CategoryTheory.Limits.kernelSubobjectIso_comp_kernel_mapₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem kernelSubobjectIso_comp_kernel_map (sq : Arrow.mk f ⟶ Arrow.mk f') :
     (kernelSubobjectIso _).Hom ≫ kernel.map f f' sq.1 sq.2 sq.3.symm =
       kernelSubobjectMap sq ≫ (kernelSubobjectIso _).Hom :=
@@ -512,7 +512,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_2 : CategoryTheory.Limits.HasImage.{u1, u2} C _inst_1 X Y f], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_2)) Y) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_2)) (CategoryTheory.Limits.image.{u1, u2} C _inst_1 X Y f _inst_2) Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_2)) (CategoryTheory.Limits.image.{u1, u2} C _inst_1 X Y f _inst_2) (CategoryTheory.Limits.imageSubobjectIso.{u1, u2} C _inst_1 X Y f _inst_2)) (CategoryTheory.Limits.image.ι.{u1, u2} C _inst_1 X Y f _inst_2)) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 Y (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_2))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_arrow CategoryTheory.Limits.imageSubobject_arrowₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem imageSubobject_arrow : (imageSubobjectIso f).Hom ≫ image.ι f = (imageSubobject f).arrow :=
   by simp [image_subobject_iso]
 #align category_theory.limits.image_subobject_arrow CategoryTheory.Limits.imageSubobject_arrow
@@ -523,7 +523,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_2 : CategoryTheory.Limits.HasImage.{u1, u2} C _inst_1 X Y f], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Limits.image.{u1, u2} C _inst_1 X Y f _inst_2) Y) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (CategoryTheory.Limits.image.{u1, u2} C _inst_1 X Y f _inst_2) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_2)) Y (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_2)) (CategoryTheory.Limits.image.{u1, u2} C _inst_1 X Y f _inst_2) (CategoryTheory.Limits.imageSubobjectIso.{u1, u2} C _inst_1 X Y f _inst_2)) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 Y (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_2))) (CategoryTheory.Limits.image.ι.{u1, u2} C _inst_1 X Y f _inst_2)
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_arrow' CategoryTheory.Limits.imageSubobject_arrow'ₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem imageSubobject_arrow' : (imageSubobjectIso f).inv ≫ (imageSubobject f).arrow = image.ι f :=
   by simp [image_subobject_iso]
 #align category_theory.limits.image_subobject_arrow' CategoryTheory.Limits.imageSubobject_arrow'
@@ -550,7 +550,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_2 : CategoryTheory.Limits.HasImage.{u1, u2} C _inst_1 X Y f], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_2)) Y (CategoryTheory.Limits.factorThruImageSubobject.{u1, u2} C _inst_1 X Y f _inst_2) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 Y (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_2))) f
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_arrow_comp CategoryTheory.Limits.imageSubobject_arrow_compₓ'. -/
-@[simp, reassoc.1, elementwise]
+@[simp, reassoc, elementwise]
 theorem imageSubobject_arrow_comp : factorThruImageSubobject f ≫ (imageSubobject f).arrow = f := by
   simp [factor_thru_image_subobject, image_subobject_arrow]
 #align category_theory.limits.image_subobject_arrow_comp CategoryTheory.Limits.imageSubobject_arrow_comp
@@ -694,7 +694,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} [_inst_3 : CategoryTheory.Limits.HasEqualizers.{u1, u2} C _inst_1] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_4 : CategoryTheory.Limits.HasImage.{u1, u2} C _inst_1 X Y f] {Y' : C} (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Y') [_inst_5 : CategoryTheory.IsIso.{u1, u2} C _inst_1 Y Y' h], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y'))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y'))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y')) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y' (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Y' f h) (CategoryTheory.Limits.hasImage_comp_iso.{u1, u2} C _inst_1 X Y f Y' h _inst_4 _inst_5))) Y) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y'))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y'))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y')) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y' (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Y' f h) (CategoryTheory.Limits.hasImage_comp_iso.{u1, u2} C _inst_1 X Y f Y' h _inst_4 _inst_5))) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_4)) Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y'))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y'))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y')) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y' (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Y' f h) (CategoryTheory.Limits.hasImage_comp_iso.{u1, u2} C _inst_1 X Y f Y' h _inst_4 _inst_5))) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_4)) (CategoryTheory.Limits.imageSubobjectCompIso.{u1, u2} C _inst_1 X Y _inst_3 f _inst_4 Y' h _inst_5)) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 Y (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_4))) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y'))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y'))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y')) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y' (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Y' f h) (CategoryTheory.Limits.hasImage_comp_iso.{u1, u2} C _inst_1 X Y f Y' h _inst_4 _inst_5))) Y' Y (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 Y' (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y' (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Y' f h) (CategoryTheory.Limits.hasImage_comp_iso.{u1, u2} C _inst_1 X Y f Y' h _inst_4 _inst_5))) (CategoryTheory.inv.{u1, u2} C _inst_1 Y Y' h _inst_5))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_comp_iso_hom_arrow CategoryTheory.Limits.imageSubobjectCompIso_hom_arrowₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem imageSubobjectCompIso_hom_arrow (f : X ⟶ Y) [HasImage f] {Y' : C} (h : Y ⟶ Y') [IsIso h] :
     (imageSubobjectCompIso f h).Hom ≫ (imageSubobject f).arrow =
       (imageSubobject (f ≫ h)).arrow ≫ inv h :=
@@ -707,7 +707,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} [_inst_3 : CategoryTheory.Limits.HasEqualizers.{u1, u2} C _inst_1] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_4 : CategoryTheory.Limits.HasImage.{u1, u2} C _inst_1 X Y f] {Y' : C} (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Y') [_inst_5 : CategoryTheory.IsIso.{u1, u2} C _inst_1 Y Y' h], Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_4)) Y') (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_4)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y'))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y'))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y')) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y' (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Y' f h) (CategoryTheory.Limits.hasImage_comp_iso.{u1, u2} C _inst_1 X Y f Y' h _inst_4 _inst_5))) Y' (CategoryTheory.Iso.inv.{u1, u2} C _inst_1 (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y') 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u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Y' f h) (CategoryTheory.Limits.hasImage_comp_iso.{u1, u2} C _inst_1 X Y f Y' h _inst_4 _inst_5))) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_4)) (CategoryTheory.Limits.imageSubobjectCompIso.{u1, u2} C _inst_1 X Y _inst_3 f _inst_4 Y' h _inst_5)) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 Y' (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y' (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Y' f h) (CategoryTheory.Limits.hasImage_comp_iso.{u1, u2} C _inst_1 X Y f Y' h _inst_4 _inst_5)))) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} 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(CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_4)) Y Y' (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 Y (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_4)) h)
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_comp_iso_inv_arrow CategoryTheory.Limits.imageSubobjectCompIso_inv_arrowₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem imageSubobjectCompIso_inv_arrow (f : X ⟶ Y) [HasImage f] {Y' : C} (h : Y ⟶ Y') [IsIso h] :
     (imageSubobjectCompIso f h).inv ≫ (imageSubobject (f ≫ h)).arrow =
       (imageSubobject f).arrow ≫ h :=
@@ -770,7 +770,7 @@ def imageSubobjectMap {W X Y Z : C} {f : W ⟶ X} [HasImage f] {g : Y ⟶ Z} [Ha
 -/
 
 #print CategoryTheory.Limits.imageSubobjectMap_arrow /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem imageSubobjectMap_arrow {W X Y Z : C} {f : W ⟶ X} [HasImage f] {g : Y ⟶ Z} [HasImage g]
     (sq : Arrow.mk f ⟶ Arrow.mk g) [HasImageMap sq] :
     imageSubobjectMap sq ≫ (imageSubobject g).arrow = (imageSubobject f).arrow ≫ sq.right :=

ce38d86c

bump to nightly-2023-05-16-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8

9cb92e8c

Diff

@@ -320,7 +320,7 @@ end
 
 /- warning: category_theory.limits.kernel_subobject_zero -> CategoryTheory.Limits.kernelSubobject_zero is a dubious translation:
 lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] {A : C} {B : C}, Eq.{succ (max u2 u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 A B _inst_2 (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) 0 (OfNat.mk.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) 0 (Zero.zero.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.Limits.HasZeroMorphisms.hasZero.{u1, u2} C _inst_1 _inst_2 A B)))) (CategoryTheory.Limits.hasEqualizer_of_self.{u1, u2} C _inst_1 A B (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) 0 (OfNat.mk.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) 0 (Zero.zero.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.Limits.HasZeroMorphisms.hasZero.{u1, u2} C _inst_1 _inst_2 A B)))))) (Top.top.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (OrderTop.toHasTop.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 A))) (CategoryTheory.Subobject.orderTop.{u1, u2} C _inst_1 A)))
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] {A : C} {B : C}, Eq.{succ (max u2 u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 A B _inst_2 (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) 0 (OfNat.mk.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) 0 (Zero.zero.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.Limits.HasZeroMorphisms.hasZero.{u1, u2} C _inst_1 _inst_2 A B)))) (CategoryTheory.Limits.hasEqualizer_of_self.{u1, u2} C _inst_1 A B (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) 0 (OfNat.mk.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) 0 (Zero.zero.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.Limits.HasZeroMorphisms.hasZero.{u1, u2} C _inst_1 _inst_2 A B)))))) (Top.top.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (OrderTop.toHasTop.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 A))) (CategoryTheory.Subobject.orderTop.{u1, u2} C _inst_1 A)))
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] {A : C} {B : C}, Eq.{max (succ u2) (succ u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 A B _inst_2 (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 A B))) (CategoryTheory.Limits.hasEqualizer_of_self.{u1, u2} C _inst_1 A B (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 A B))))) (Top.top.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (OrderTop.toTop.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 A) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 A))) (CategoryTheory.Subobject.orderTop.{u1, u2} C _inst_1 A)))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_zero CategoryTheory.Limits.kernelSubobject_zeroₓ'. -/
@@ -341,7 +341,7 @@ instance isIso_kernelSubobject_zero_arrow : IsIso (kernelSubobject (0 : X ⟶ Y)
 
 /- warning: category_theory.limits.le_kernel_subobject -> CategoryTheory.Limits.le_kernelSubobject is a dubious translation:
 lean 3 declaration is
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+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_3 : CategoryTheory.Limits.HasKernel.{u1, u2} C _inst_1 _inst_2 X Y f] (A : CategoryTheory.Subobject.{u1, u2} C _inst_1 X), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 X)))) A) Y) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 X)))) A) X Y (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 X A) f) (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 X)))) A) Y) 0 (OfNat.mk.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 X)))) A) Y) 0 (Zero.zero.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 X)))) A) Y) (CategoryTheory.Limits.HasZeroMorphisms.hasZero.{u1, u2} C _inst_1 _inst_2 ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 X)))) A) Y))))) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X))) A (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3))
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_3 : CategoryTheory.Limits.HasKernel.{u1, u2} C _inst_1 _inst_2 X Y f] (A : CategoryTheory.Subobject.{u1, u2} C _inst_1 X), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) A) Y) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} 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C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) A) Y) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) A) Y)))) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) A (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_3))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.le_kernel_subobject CategoryTheory.Limits.le_kernelSubobjectₓ'. -/
@@ -389,13 +389,17 @@ theorem kernelSubobjectIsoComp_inv_arrow {X' : C} (f : X' ⟶ X) [IsIso f] (g :
   by simp [kernel_subobject_iso_comp]
 #align category_theory.limits.kernel_subobject_iso_comp_inv_arrow CategoryTheory.Limits.kernelSubobjectIsoComp_inv_arrow
 
-#print CategoryTheory.Limits.kernelSubobject_comp_le /-
+/- warning: category_theory.limits.kernel_subobject_comp_le -> CategoryTheory.Limits.kernelSubobject_comp_le is a dubious translation:
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+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_4 : CategoryTheory.Limits.HasKernel.{u1, u2} C _inst_1 _inst_2 X Y f] {Z : C} (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) [_inst_5 : CategoryTheory.Limits.HasKernel.{u1, u2} C _inst_1 _inst_2 X Z (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z f h)], LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 X))) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_4) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Z _inst_2 (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z f h) _inst_5)
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_4 : CategoryTheory.Limits.HasKernel.{u1, u2} C _inst_1 _inst_2 X Y f] {Z : C} (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) [_inst_5 : CategoryTheory.Limits.HasKernel.{u1, u2} C _inst_1 _inst_2 X Z (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z f h)], LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Y _inst_2 f _inst_4) (CategoryTheory.Limits.kernelSubobject.{u1, u2} C _inst_1 X Z _inst_2 (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z f h) _inst_5)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_comp_le CategoryTheory.Limits.kernelSubobject_comp_leₓ'. -/
 /-- The kernel of `f` is always a smaller subobject than the kernel of `f ≫ h`. -/
 theorem kernelSubobject_comp_le (f : X ⟶ Y) [HasKernel f] {Z : C} (h : Y ⟶ Z) [HasKernel (f ≫ h)] :
     kernelSubobject f ≤ kernelSubobject (f ≫ h) :=
   le_kernelSubobject _ _ (by simp)
 #align category_theory.limits.kernel_subobject_comp_le CategoryTheory.Limits.kernelSubobject_comp_le
--/
 
 #print CategoryTheory.Limits.kernelSubobject_comp_mono /-
 /-- Postcomposing by an monomorphism does not change the kernel subobject. -/
@@ -597,13 +601,17 @@ theorem factorThruImageSubobject_comp_self_assoc {W W' : C} (k : W ⟶ W') (k' :
   simp
 #align category_theory.limits.factor_thru_image_subobject_comp_self_assoc CategoryTheory.Limits.factorThruImageSubobject_comp_self_assoc
 
-#print CategoryTheory.Limits.imageSubobject_comp_le /-
+/- warning: category_theory.limits.image_subobject_comp_le -> CategoryTheory.Limits.imageSubobject_comp_le is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {X : C} {Y : C} {X' : C} (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X' X) (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) [_inst_3 : CategoryTheory.Limits.HasImage.{u1, u2} C _inst_1 X Y f] [_inst_4 : CategoryTheory.Limits.HasImage.{u1, u2} C _inst_1 X' Y (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X' X Y h f)], LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X' Y (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X' X Y h f) _inst_4) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_3)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_comp_le CategoryTheory.Limits.imageSubobject_comp_leₓ'. -/
 /-- The image of `h ≫ f` is always a smaller subobject than the image of `f`. -/
 theorem imageSubobject_comp_le {X' : C} (h : X' ⟶ X) (f : X ⟶ Y) [HasImage f] [HasImage (h ≫ f)] :
     imageSubobject (h ≫ f) ≤ imageSubobject f :=
   Subobject.mk_le_mk_of_comm (image.preComp h f) (by simp)
 #align category_theory.limits.image_subobject_comp_le CategoryTheory.Limits.imageSubobject_comp_le
--/
 
 section
 
@@ -626,7 +634,7 @@ theorem imageSubobject_zero_arrow : (imageSubobject (0 : X ⟶ Y)).arrow = 0 :=
 
 /- warning: category_theory.limits.image_subobject_zero -> CategoryTheory.Limits.imageSubobject_zero is a dubious translation:
 lean 3 declaration is
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+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_3 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] [_inst_4 : CategoryTheory.Limits.HasZeroObject.{u1, u2} C _inst_1] {A : C} {B : C}, Eq.{succ (max u2 u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 A B (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) 0 (OfNat.mk.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) 0 (Zero.zero.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.Limits.HasZeroMorphisms.hasZero.{u1, u2} C _inst_1 _inst_3 A B)))) (CategoryTheory.Limits.hasImage_zero.{u1, u2} C _inst_1 _inst_3 _inst_4 A B)) (Bot.bot.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (OrderBot.toHasBot.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Subobject.orderBot.{u1, u2} C _inst_1 (CategoryTheory.Limits.HasZeroObject.hasInitial.{u1, u2} C _inst_1 _inst_4) (CategoryTheory.Limits.HasZeroObject.initialMonoClass.{u1, u2} C _inst_1 _inst_4) B)))
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_3 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] [_inst_4 : CategoryTheory.Limits.HasZeroObject.{u1, u2} C _inst_1] {A : C} {B : C}, Eq.{max (succ u2) (succ u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 A B (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_3 A B))) (CategoryTheory.Limits.hasImage_zero.{u1, u2} C _inst_1 _inst_3 _inst_4 A B)) (Bot.bot.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (OrderBot.toBot.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Subobject.orderBot.{u1, u2} C _inst_1 (CategoryTheory.Limits.HasZeroObject.hasInitial.{u1, u2} C _inst_1 _inst_4) (CategoryTheory.Limits.HasZeroObject.initialMonoClass.{u1, u2} C _inst_1 _inst_4) B)))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_zero CategoryTheory.Limits.imageSubobject_zeroₓ'. -/
@@ -725,7 +733,7 @@ theorem imageSubobject_iso_comp [HasEqualizers C] {X' : C} (h : X' ⟶ X) [IsIso
 
 /- warning: category_theory.limits.image_subobject_le -> CategoryTheory.Limits.imageSubobject_le is a dubious translation:
 lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {A : C} {B : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Limits.HasImage.{u1, u2} C _inst_1 A B f] (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X)), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) B h (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)) f) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 A B f _inst_3) X)
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {A : C} {B : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Limits.HasImage.{u1, u2} C _inst_1 A B f] (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X)), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) B h (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)) f) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 A B f _inst_3) X)
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {A : C} {B : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Limits.HasImage.{u1, u2} C _inst_1 A B f] (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X)), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) B h (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)) f) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 A B f _inst_3) X)
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_le CategoryTheory.Limits.imageSubobject_leₓ'. -/
@@ -740,12 +748,16 @@ theorem imageSubobject_le {A B : C} {X : Subobject B} (f : A ⟶ B) [HasImage f]
     (by simp)
 #align category_theory.limits.image_subobject_le CategoryTheory.Limits.imageSubobject_le
 
-#print CategoryTheory.Limits.imageSubobject_le_mk /-
+/- warning: category_theory.limits.image_subobject_le_mk -> CategoryTheory.Limits.imageSubobject_le_mk is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {A : C} {B : C} {X : C} (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 X B g] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_4 : CategoryTheory.Limits.HasImage.{u1, u2} C _inst_1 A B f] (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A X), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A X B h g) f) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toHasLe.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 A B f _inst_4) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B X g _inst_3))
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {A : C} {B : C} {X : C} (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X B) [_inst_3 : CategoryTheory.Mono.{u1, u2} C _inst_1 X B g] (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_4 : CategoryTheory.Limits.HasImage.{u1, u2} C _inst_1 A B f] (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A X), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A X B h g) f) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 A B f _inst_4) (CategoryTheory.Subobject.mk.{u1, u2} C _inst_1 B X g _inst_3))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_le_mk CategoryTheory.Limits.imageSubobject_le_mkₓ'. -/
 theorem imageSubobject_le_mk {A B : C} {X : C} (g : X ⟶ B) [Mono g] (f : A ⟶ B) [HasImage f]
     (h : A ⟶ X) (w : h ≫ g = f) : imageSubobject f ≤ Subobject.mk g :=
   imageSubobject_le f (h ≫ (Subobject.underlyingIso g).inv) (by simp [w])
 #align category_theory.limits.image_subobject_le_mk CategoryTheory.Limits.imageSubobject_le_mk
--/
 
 #print CategoryTheory.Limits.imageSubobjectMap /-
 /-- Given a commutative square between morphisms `f` and `g`,

ce38d86c

bump to nightly-2023-04-20-00

mathlib commit https://github.com/leanprover-community/mathlib/commit/cd8fafa2fac98e1a67097e8a91ad9901cfde48af

d6678ca6

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta, Scott Morrison
 
 ! This file was ported from Lean 3 source module category_theory.subobject.limits
-! leanprover-community/mathlib commit 956af7c76589f444f2e1313911bad16366ea476d
+! leanprover-community/mathlib commit ce38d86c0b2d427ce208c3cee3159cb421d2b3c4
 ! 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.Subobject.Lattice
 /-!
 # Specific subobjects
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We define `equalizer_subobject`, `kernel_subobject` and `image_subobject`, which are the subobjects
 represented by the equalizer, kernel and image of (a pair of) morphism(s) and provide conditions
 for `P.factors f`, where `P` is one of these special subobjects.

956af7c7

bump to nightly-2023-04-17-20

mathlib commit https://github.com/leanprover-community/mathlib/commit/17ad94b4953419f3e3ce3e77da3239c62d1d09f0

5f30f546

Diff

@@ -39,40 +39,69 @@ section Equalizer
 
 variable (f g : X ⟶ Y) [HasEqualizer f g]
 
+#print CategoryTheory.Limits.equalizerSubobject /-
 /-- The equalizer of morphisms `f g : X ⟶ Y` as a `subobject X`. -/
 abbrev equalizerSubobject : Subobject X :=
   Subobject.mk (equalizer.ι f g)
 #align category_theory.limits.equalizer_subobject CategoryTheory.Limits.equalizerSubobject
+-/
 
+/- warning: category_theory.limits.equalizer_subobject_iso -> CategoryTheory.Limits.equalizerSubobjectIso is a dubious translation:
+lean 3 declaration is
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 /-- The underlying object of `equalizer_subobject f g` is (up to isomorphism!)
 the same as the chosen object `equalizer f g`. -/
 def equalizerSubobjectIso : (equalizerSubobject f g : C) ≅ equalizer f g :=
   Subobject.underlyingIso (equalizer.ι f g)
 #align category_theory.limits.equalizer_subobject_iso CategoryTheory.Limits.equalizerSubobjectIso
 
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 @[simp, reassoc.1]
 theorem equalizerSubobject_arrow :
     (equalizerSubobjectIso f g).Hom ≫ equalizer.ι f g = (equalizerSubobject f g).arrow := by
   simp [equalizer_subobject_iso]
 #align category_theory.limits.equalizer_subobject_arrow CategoryTheory.Limits.equalizerSubobject_arrow
 
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 @[simp, reassoc.1]
 theorem equalizerSubobject_arrow' :
     (equalizerSubobjectIso f g).inv ≫ (equalizerSubobject f g).arrow = equalizer.ι f g := by
   simp [equalizer_subobject_iso]
 #align category_theory.limits.equalizer_subobject_arrow' CategoryTheory.Limits.equalizerSubobject_arrow'
 
+/- warning: category_theory.limits.equalizer_subobject_arrow_comp -> CategoryTheory.Limits.equalizerSubobject_arrow_comp is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.equalizer_subobject_arrow_comp CategoryTheory.Limits.equalizerSubobject_arrow_compₓ'. -/
 @[reassoc.1]
 theorem equalizerSubobject_arrow_comp :
     (equalizerSubobject f g).arrow ≫ f = (equalizerSubobject f g).arrow ≫ g := by
   rw [← equalizer_subobject_arrow, category.assoc, category.assoc, equalizer.condition]
 #align category_theory.limits.equalizer_subobject_arrow_comp CategoryTheory.Limits.equalizerSubobject_arrow_comp
 
+#print CategoryTheory.Limits.equalizerSubobject_factors /-
 theorem equalizerSubobject_factors {W : C} (h : W ⟶ X) (w : h ≫ f = h ≫ g) :
     (equalizerSubobject f g).Factors h :=
   ⟨equalizer.lift h w, by simp⟩
 #align category_theory.limits.equalizer_subobject_factors CategoryTheory.Limits.equalizerSubobject_factors
+-/
 
+#print CategoryTheory.Limits.equalizerSubobject_factors_iff /-
 theorem equalizerSubobject_factors_iff {W : C} (h : W ⟶ X) :
     (equalizerSubobject f g).Factors h ↔ h ≫ f = h ≫ g :=
   ⟨fun w => by
@@ -80,6 +109,7 @@ theorem equalizerSubobject_factors_iff {W : C} (h : W ⟶ X) :
       category.assoc],
     equalizerSubobject_factors f g h⟩
 #align category_theory.limits.equalizer_subobject_factors_iff CategoryTheory.Limits.equalizerSubobject_factors_iff
+-/
 
 end Equalizer
 
@@ -87,29 +117,55 @@ section Kernel
 
 variable [HasZeroMorphisms C] (f : X ⟶ Y) [HasKernel f]
 
+#print CategoryTheory.Limits.kernelSubobject /-
 /-- The kernel of a morphism `f : X ⟶ Y` as a `subobject X`. -/
 abbrev kernelSubobject : Subobject X :=
   Subobject.mk (kernel.ι f)
 #align category_theory.limits.kernel_subobject CategoryTheory.Limits.kernelSubobject
+-/
 
+/- warning: category_theory.limits.kernel_subobject_iso -> CategoryTheory.Limits.kernelSubobjectIso is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_iso CategoryTheory.Limits.kernelSubobjectIsoₓ'. -/
 /-- The underlying object of `kernel_subobject f` is (up to isomorphism!)
 the same as the chosen object `kernel f`. -/
 def kernelSubobjectIso : (kernelSubobject f : C) ≅ kernel f :=
   Subobject.underlyingIso (kernel.ι f)
 #align category_theory.limits.kernel_subobject_iso CategoryTheory.Limits.kernelSubobjectIso
 
+/- warning: category_theory.limits.kernel_subobject_arrow -> CategoryTheory.Limits.kernelSubobject_arrow is a dubious translation:
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 @[simp, reassoc.1, elementwise]
 theorem kernelSubobject_arrow :
     (kernelSubobjectIso f).Hom ≫ kernel.ι f = (kernelSubobject f).arrow := by
   simp [kernel_subobject_iso]
 #align category_theory.limits.kernel_subobject_arrow CategoryTheory.Limits.kernelSubobject_arrow
 
+/- warning: category_theory.limits.kernel_subobject_arrow' -> CategoryTheory.Limits.kernelSubobject_arrow' is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_arrow' CategoryTheory.Limits.kernelSubobject_arrow'ₓ'. -/
 @[simp, reassoc.1, elementwise]
 theorem kernelSubobject_arrow' :
     (kernelSubobjectIso f).inv ≫ (kernelSubobject f).arrow = kernel.ι f := by
   simp [kernel_subobject_iso]
 #align category_theory.limits.kernel_subobject_arrow' CategoryTheory.Limits.kernelSubobject_arrow'
 
+/- warning: category_theory.limits.kernel_subobject_arrow_comp -> CategoryTheory.Limits.kernelSubobject_arrow_comp is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_arrow_comp CategoryTheory.Limits.kernelSubobject_arrow_compₓ'. -/
 @[simp, reassoc.1, elementwise]
 theorem kernelSubobject_arrow_comp : (kernelSubobject f).arrow ≫ f = 0 :=
   by
@@ -117,11 +173,14 @@ theorem kernelSubobject_arrow_comp : (kernelSubobject f).arrow ≫ f = 0 :=
   simp only [category.assoc, kernel.condition, comp_zero]
 #align category_theory.limits.kernel_subobject_arrow_comp CategoryTheory.Limits.kernelSubobject_arrow_comp
 
+#print CategoryTheory.Limits.kernelSubobject_factors /-
 theorem kernelSubobject_factors {W : C} (h : W ⟶ X) (w : h ≫ f = 0) :
     (kernelSubobject f).Factors h :=
   ⟨kernel.lift _ h w, by simp⟩
 #align category_theory.limits.kernel_subobject_factors CategoryTheory.Limits.kernelSubobject_factors
+-/
 
+#print CategoryTheory.Limits.kernelSubobject_factors_iff /-
 theorem kernelSubobject_factors_iff {W : C} (h : W ⟶ X) :
     (kernelSubobject f).Factors h ↔ h ≫ f = 0 :=
   ⟨fun w => by
@@ -129,12 +188,25 @@ theorem kernelSubobject_factors_iff {W : C} (h : W ⟶ X) :
       comp_zero],
     kernelSubobject_factors f h⟩
 #align category_theory.limits.kernel_subobject_factors_iff CategoryTheory.Limits.kernelSubobject_factors_iff
+-/
 
+/- warning: category_theory.limits.factor_thru_kernel_subobject -> CategoryTheory.Limits.factorThruKernelSubobject is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.factor_thru_kernel_subobject CategoryTheory.Limits.factorThruKernelSubobjectₓ'. -/
 /-- A factorisation of `h : W ⟶ X` through `kernel_subobject f`, assuming `h ≫ f = 0`. -/
 def factorThruKernelSubobject {W : C} (h : W ⟶ X) (w : h ≫ f = 0) : W ⟶ kernelSubobject f :=
   (kernelSubobject f).factorThru h (kernelSubobject_factors f h w)
 #align category_theory.limits.factor_thru_kernel_subobject CategoryTheory.Limits.factorThruKernelSubobject
 
+/- warning: category_theory.limits.factor_thru_kernel_subobject_comp_arrow -> CategoryTheory.Limits.factorThruKernelSubobject_comp_arrow is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.factor_thru_kernel_subobject_comp_arrow CategoryTheory.Limits.factorThruKernelSubobject_comp_arrowₓ'. -/
 @[simp]
 theorem factorThruKernelSubobject_comp_arrow {W : C} (h : W ⟶ X) (w : h ≫ f = 0) :
     factorThruKernelSubobject f h w ≫ (kernelSubobject f).arrow = h :=
@@ -143,6 +215,12 @@ theorem factorThruKernelSubobject_comp_arrow {W : C} (h : W ⟶ X) (w : h ≫ f
   simp
 #align category_theory.limits.factor_thru_kernel_subobject_comp_arrow CategoryTheory.Limits.factorThruKernelSubobject_comp_arrow
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.factor_thru_kernel_subobject_comp_kernel_subobject_iso CategoryTheory.Limits.factorThruKernelSubobject_comp_kernelSubobjectIsoₓ'. -/
 @[simp]
 theorem factorThruKernelSubobject_comp_kernelSubobjectIso {W : C} (h : W ⟶ X) (w : h ≫ f = 0) :
     factorThruKernelSubobject f h w ≫ (kernelSubobjectIso f).Hom = kernel.lift f h w :=
@@ -153,6 +231,12 @@ section
 
 variable {f} {X' Y' : C} {f' : X' ⟶ Y'} [HasKernel f']
 
+/- warning: category_theory.limits.kernel_subobject_map -> CategoryTheory.Limits.kernelSubobjectMap is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_map CategoryTheory.Limits.kernelSubobjectMapₓ'. -/
 /-- A commuting square induces a morphism between the kernel subobjects. -/
 def kernelSubobjectMap (sq : Arrow.mk f ⟶ Arrow.mk f') :
     (kernelSubobject f : C) ⟶ (kernelSubobject f' : C) :=
@@ -160,12 +244,24 @@ def kernelSubobjectMap (sq : Arrow.mk f ⟶ Arrow.mk f') :
     (kernelSubobject_factors _ _ (by simp [sq.w]))
 #align category_theory.limits.kernel_subobject_map CategoryTheory.Limits.kernelSubobjectMap
 
+/- warning: category_theory.limits.kernel_subobject_map_arrow -> CategoryTheory.Limits.kernelSubobjectMap_arrow is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_map_arrow CategoryTheory.Limits.kernelSubobjectMap_arrowₓ'. -/
 @[simp, reassoc.1, elementwise]
 theorem kernelSubobjectMap_arrow (sq : Arrow.mk f ⟶ Arrow.mk f') :
     kernelSubobjectMap sq ≫ (kernelSubobject f').arrow = (kernelSubobject f).arrow ≫ sq.left := by
   simp [kernel_subobject_map]
 #align category_theory.limits.kernel_subobject_map_arrow CategoryTheory.Limits.kernelSubobjectMap_arrow
 
+/- warning: category_theory.limits.kernel_subobject_map_id -> CategoryTheory.Limits.kernelSubobjectMap_id is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_map_id CategoryTheory.Limits.kernelSubobjectMap_idₓ'. -/
 @[simp]
 theorem kernelSubobjectMap_id : kernelSubobjectMap (𝟙 (Arrow.mk f)) = 𝟙 _ :=
   by
@@ -175,6 +271,12 @@ theorem kernelSubobjectMap_id : kernelSubobjectMap (𝟙 (Arrow.mk f)) = 𝟙 _
   simp
 #align category_theory.limits.kernel_subobject_map_id CategoryTheory.Limits.kernelSubobjectMap_id
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_map_comp CategoryTheory.Limits.kernelSubobjectMap_compₓ'. -/
 -- See library note [dsimp, simp].
 @[simp]
 theorem kernelSubobjectMap_comp {X'' Y'' : C} {f'' : X'' ⟶ Y''} [HasKernel f'']
@@ -185,6 +287,12 @@ theorem kernelSubobjectMap_comp {X'' Y'' : C} {f'' : X'' ⟶ Y''} [HasKernel f''
   simp
 #align category_theory.limits.kernel_subobject_map_comp CategoryTheory.Limits.kernelSubobjectMap_comp
 
+/- warning: category_theory.limits.kernel_map_comp_kernel_subobject_iso_inv -> CategoryTheory.Limits.kernel_map_comp_kernelSubobjectIso_inv is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_map_comp_kernel_subobject_iso_inv CategoryTheory.Limits.kernel_map_comp_kernelSubobjectIso_invₓ'. -/
 @[reassoc.1]
 theorem kernel_map_comp_kernelSubobjectIso_inv (sq : Arrow.mk f ⟶ Arrow.mk f') :
     kernel.map f f' sq.1 sq.2 sq.3.symm ≫ (kernelSubobjectIso _).inv =
@@ -192,6 +300,12 @@ theorem kernel_map_comp_kernelSubobjectIso_inv (sq : Arrow.mk f ⟶ Arrow.mk f')
   by ext <;> simp
 #align category_theory.limits.kernel_map_comp_kernel_subobject_iso_inv CategoryTheory.Limits.kernel_map_comp_kernelSubobjectIso_inv
 
+/- warning: category_theory.limits.kernel_subobject_iso_comp_kernel_map -> CategoryTheory.Limits.kernelSubobjectIso_comp_kernel_map is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_iso_comp_kernel_map CategoryTheory.Limits.kernelSubobjectIso_comp_kernel_mapₓ'. -/
 @[reassoc.1]
 theorem kernelSubobjectIso_comp_kernel_map (sq : Arrow.mk f ⟶ Arrow.mk f') :
     (kernelSubobjectIso _).Hom ≫ kernel.map f f' sq.1 sq.2 sq.3.symm =
@@ -201,19 +315,43 @@ theorem kernelSubobjectIso_comp_kernel_map (sq : Arrow.mk f ⟶ Arrow.mk f') :
 
 end
 
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 @[simp]
 theorem kernelSubobject_zero {A B : C} : kernelSubobject (0 : A ⟶ B) = ⊤ :=
   (isIso_iff_mk_eq_top _).mp (by infer_instance)
 #align category_theory.limits.kernel_subobject_zero CategoryTheory.Limits.kernelSubobject_zero
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_iso_kernel_subobject_zero_arrow CategoryTheory.Limits.isIso_kernelSubobject_zero_arrowₓ'. -/
 instance isIso_kernelSubobject_zero_arrow : IsIso (kernelSubobject (0 : X ⟶ Y)).arrow :=
   (isIso_arrow_iff_eq_top _).mpr kernelSubobject_zero
 #align category_theory.limits.is_iso_kernel_subobject_zero_arrow CategoryTheory.Limits.isIso_kernelSubobject_zero_arrow
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.le_kernel_subobject CategoryTheory.Limits.le_kernelSubobjectₓ'. -/
 theorem le_kernelSubobject (A : Subobject X) (h : A.arrow ≫ f = 0) : A ≤ kernelSubobject f :=
   Subobject.le_mk_of_comm (kernel.lift f A.arrow h) (by simp)
 #align category_theory.limits.le_kernel_subobject CategoryTheory.Limits.le_kernelSubobject
 
+/- warning: category_theory.limits.kernel_subobject_iso_comp -> CategoryTheory.Limits.kernelSubobjectIsoComp is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_iso_comp CategoryTheory.Limits.kernelSubobjectIsoCompₓ'. -/
 /-- The isomorphism between the kernel of `f ≫ g` and the kernel of `g`,
 when `f` is an isomorphism.
 -/
@@ -222,6 +360,12 @@ def kernelSubobjectIsoComp {X' : C} (f : X' ⟶ X) [IsIso f] (g : X ⟶ Y) [HasK
   kernelSubobjectIso _ ≪≫ kernelIsIsoComp f g ≪≫ (kernelSubobjectIso _).symm
 #align category_theory.limits.kernel_subobject_iso_comp CategoryTheory.Limits.kernelSubobjectIsoComp
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_iso_comp_hom_arrow CategoryTheory.Limits.kernelSubobjectIsoComp_hom_arrowₓ'. -/
 @[simp]
 theorem kernelSubobjectIsoComp_hom_arrow {X' : C} (f : X' ⟶ X) [IsIso f] (g : X ⟶ Y) [HasKernel g] :
     (kernelSubobjectIsoComp f g).Hom ≫ (kernelSubobject g).arrow =
@@ -229,6 +373,12 @@ theorem kernelSubobjectIsoComp_hom_arrow {X' : C} (f : X' ⟶ X) [IsIso f] (g :
   by simp [kernel_subobject_iso_comp]
 #align category_theory.limits.kernel_subobject_iso_comp_hom_arrow CategoryTheory.Limits.kernelSubobjectIsoComp_hom_arrow
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_iso_comp_inv_arrow CategoryTheory.Limits.kernelSubobjectIsoComp_inv_arrowₓ'. -/
 @[simp]
 theorem kernelSubobjectIsoComp_inv_arrow {X' : C} (f : X' ⟶ X) [IsIso f] (g : X ⟶ Y) [HasKernel g] :
     (kernelSubobjectIsoComp f g).inv ≫ (kernelSubobject (f ≫ g)).arrow =
@@ -236,19 +386,29 @@ theorem kernelSubobjectIsoComp_inv_arrow {X' : C} (f : X' ⟶ X) [IsIso f] (g :
   by simp [kernel_subobject_iso_comp]
 #align category_theory.limits.kernel_subobject_iso_comp_inv_arrow CategoryTheory.Limits.kernelSubobjectIsoComp_inv_arrow
 
+#print CategoryTheory.Limits.kernelSubobject_comp_le /-
 /-- The kernel of `f` is always a smaller subobject than the kernel of `f ≫ h`. -/
 theorem kernelSubobject_comp_le (f : X ⟶ Y) [HasKernel f] {Z : C} (h : Y ⟶ Z) [HasKernel (f ≫ h)] :
     kernelSubobject f ≤ kernelSubobject (f ≫ h) :=
   le_kernelSubobject _ _ (by simp)
 #align category_theory.limits.kernel_subobject_comp_le CategoryTheory.Limits.kernelSubobject_comp_le
+-/
 
+#print CategoryTheory.Limits.kernelSubobject_comp_mono /-
 /-- Postcomposing by an monomorphism does not change the kernel subobject. -/
 @[simp]
 theorem kernelSubobject_comp_mono (f : X ⟶ Y) [HasKernel f] {Z : C} (h : Y ⟶ Z) [Mono h] :
     kernelSubobject (f ≫ h) = kernelSubobject f :=
   le_antisymm (le_kernelSubobject _ _ ((cancel_mono h).mp (by simp))) (kernelSubobject_comp_le f h)
 #align category_theory.limits.kernel_subobject_comp_mono CategoryTheory.Limits.kernelSubobject_comp_mono
+-/
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_subobject_comp_mono_is_iso CategoryTheory.Limits.kernelSubobject_comp_mono_isIsoₓ'. -/
 instance kernelSubobject_comp_mono_isIso (f : X ⟶ Y) [HasKernel f] {Z : C} (h : Y ⟶ Z) [Mono h] :
     IsIso (Subobject.ofLE _ _ (kernelSubobject_comp_le f h)) :=
   by
@@ -257,6 +417,7 @@ instance kernelSubobject_comp_mono_isIso (f : X ⟶ Y) [HasKernel f] {Z : C} (h
   · simp
 #align category_theory.limits.kernel_subobject_comp_mono_is_iso CategoryTheory.Limits.kernelSubobject_comp_mono_isIso
 
+#print CategoryTheory.Limits.cokernelOrderHom /-
 /-- Taking cokernels is an order-reversing map from the subobjects of `X` to the quotient objects
     of `X`. -/
 @[simps]
@@ -283,7 +444,9 @@ def cokernelOrderHom [HasCokernels C] (X : C) : Subobject X →o (Subobject (op
       · rw [← subobject.of_mk_le_mk_comp h, category.assoc, cokernel.condition, comp_zero]
       · exact Quiver.Hom.unop_inj (cokernel.π_desc _ _ _)
 #align category_theory.limits.cokernel_order_hom CategoryTheory.Limits.cokernelOrderHom
+-/
 
+#print CategoryTheory.Limits.kernelOrderHom /-
 /-- Taking kernels is an order-reversing map from the quotient objects of `X` to the subobjects of
     `X`. -/
 @[simps]
@@ -309,6 +472,7 @@ def kernelOrderHom [HasKernels C] (X : C) : (Subobject (op X))ᵒᵈ →o Subobj
       · rw [← subobject.of_mk_le_mk_comp h, unop_comp, kernel.condition_assoc, zero_comp]
       · exact Quiver.Hom.op_inj (by simp)
 #align category_theory.limits.kernel_order_hom CategoryTheory.Limits.kernelOrderHom
+-/
 
 end Kernel
 
@@ -316,27 +480,53 @@ section Image
 
 variable (f : X ⟶ Y) [HasImage f]
 
+#print CategoryTheory.Limits.imageSubobject /-
 /-- The image of a morphism `f g : X ⟶ Y` as a `subobject Y`. -/
 abbrev imageSubobject : Subobject Y :=
   Subobject.mk (image.ι f)
 #align category_theory.limits.image_subobject CategoryTheory.Limits.imageSubobject
+-/
 
+/- warning: category_theory.limits.image_subobject_iso -> CategoryTheory.Limits.imageSubobjectIso is a dubious translation:
+lean 3 declaration is
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 /-- The underlying object of `image_subobject f` is (up to isomorphism!)
 the same as the chosen object `image f`. -/
 def imageSubobjectIso : (imageSubobject f : C) ≅ image f :=
   Subobject.underlyingIso (image.ι f)
 #align category_theory.limits.image_subobject_iso CategoryTheory.Limits.imageSubobjectIso
 
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 @[simp, reassoc.1]
 theorem imageSubobject_arrow : (imageSubobjectIso f).Hom ≫ image.ι f = (imageSubobject f).arrow :=
   by simp [image_subobject_iso]
 #align category_theory.limits.image_subobject_arrow CategoryTheory.Limits.imageSubobject_arrow
 
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 @[simp, reassoc.1]
 theorem imageSubobject_arrow' : (imageSubobjectIso f).inv ≫ (imageSubobject f).arrow = image.ι f :=
   by simp [image_subobject_iso]
 #align category_theory.limits.image_subobject_arrow' CategoryTheory.Limits.imageSubobject_arrow'
 
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 /-- A factorisation of `f : X ⟶ Y` through `image_subobject f`. -/
 def factorThruImageSubobject : X ⟶ imageSubobject f :=
   factorThruImage f ≫ (imageSubobjectIso f).inv
@@ -347,21 +537,41 @@ instance [HasEqualizers C] : Epi (factorThruImageSubobject f) :=
   dsimp [factor_thru_image_subobject]
   apply epi_comp
 
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 @[simp, reassoc.1, elementwise]
 theorem imageSubobject_arrow_comp : factorThruImageSubobject f ≫ (imageSubobject f).arrow = f := by
   simp [factor_thru_image_subobject, image_subobject_arrow]
 #align category_theory.limits.image_subobject_arrow_comp CategoryTheory.Limits.imageSubobject_arrow_comp
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_arrow_comp_eq_zero CategoryTheory.Limits.imageSubobject_arrow_comp_eq_zeroₓ'. -/
 theorem imageSubobject_arrow_comp_eq_zero [HasZeroMorphisms C] {X Y Z : C} {f : X ⟶ Y} {g : Y ⟶ Z}
     [HasImage f] [Epi (factorThruImageSubobject f)] (h : f ≫ g = 0) :
     (imageSubobject f).arrow ≫ g = 0 :=
   zero_of_epi_comp (factorThruImageSubobject f) <| by simp [h]
 #align category_theory.limits.image_subobject_arrow_comp_eq_zero CategoryTheory.Limits.imageSubobject_arrow_comp_eq_zero
 
+#print CategoryTheory.Limits.imageSubobject_factors_comp_self /-
 theorem imageSubobject_factors_comp_self {W : C} (k : W ⟶ X) : (imageSubobject f).Factors (k ≫ f) :=
   ⟨k ≫ factorThruImage f, by simp⟩
 #align category_theory.limits.image_subobject_factors_comp_self CategoryTheory.Limits.imageSubobject_factors_comp_self
+-/
 
+/- warning: category_theory.limits.factor_thru_image_subobject_comp_self -> CategoryTheory.Limits.factorThruImageSubobject_comp_self is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.factor_thru_image_subobject_comp_self CategoryTheory.Limits.factorThruImageSubobject_comp_selfₓ'. -/
 @[simp]
 theorem factorThruImageSubobject_comp_self {W : C} (k : W ⟶ X) (h) :
     (imageSubobject f).factorThru (k ≫ f) h = k ≫ factorThruImageSubobject f :=
@@ -370,6 +580,12 @@ theorem factorThruImageSubobject_comp_self {W : C} (k : W ⟶ X) (h) :
   simp
 #align category_theory.limits.factor_thru_image_subobject_comp_self CategoryTheory.Limits.factorThruImageSubobject_comp_self
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.factor_thru_image_subobject_comp_self_assoc CategoryTheory.Limits.factorThruImageSubobject_comp_self_assocₓ'. -/
 @[simp]
 theorem factorThruImageSubobject_comp_self_assoc {W W' : C} (k : W ⟶ W') (k' : W' ⟶ X) (h) :
     (imageSubobject f).factorThru (k ≫ k' ≫ f) h = k ≫ k' ≫ factorThruImageSubobject f :=
@@ -378,11 +594,13 @@ theorem factorThruImageSubobject_comp_self_assoc {W W' : C} (k : W ⟶ W') (k' :
   simp
 #align category_theory.limits.factor_thru_image_subobject_comp_self_assoc CategoryTheory.Limits.factorThruImageSubobject_comp_self_assoc
 
+#print CategoryTheory.Limits.imageSubobject_comp_le /-
 /-- The image of `h ≫ f` is always a smaller subobject than the image of `f`. -/
 theorem imageSubobject_comp_le {X' : C} (h : X' ⟶ X) (f : X ⟶ Y) [HasImage f] [HasImage (h ≫ f)] :
     imageSubobject (h ≫ f) ≤ imageSubobject f :=
   Subobject.mk_le_mk_of_comm (image.preComp h f) (by simp)
 #align category_theory.limits.image_subobject_comp_le CategoryTheory.Limits.imageSubobject_comp_le
+-/
 
 section
 
@@ -390,6 +608,12 @@ open ZeroObject
 
 variable [HasZeroMorphisms C] [HasZeroObject C]
 
+/- warning: category_theory.limits.image_subobject_zero_arrow -> CategoryTheory.Limits.imageSubobject_zero_arrow is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_zero_arrow CategoryTheory.Limits.imageSubobject_zero_arrowₓ'. -/
 @[simp]
 theorem imageSubobject_zero_arrow : (imageSubobject (0 : X ⟶ Y)).arrow = 0 :=
   by
@@ -397,6 +621,12 @@ theorem imageSubobject_zero_arrow : (imageSubobject (0 : X ⟶ Y)).arrow = 0 :=
   simp
 #align category_theory.limits.image_subobject_zero_arrow CategoryTheory.Limits.imageSubobject_zero_arrow
 
+/- warning: category_theory.limits.image_subobject_zero -> CategoryTheory.Limits.imageSubobject_zero is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_zero CategoryTheory.Limits.imageSubobject_zeroₓ'. -/
 @[simp]
 theorem imageSubobject_zero {A B : C} : imageSubobject (0 : A ⟶ B) = ⊥ :=
   Subobject.eq_of_comm (imageSubobjectIso _ ≪≫ imageZero ≪≫ Subobject.botCoeIsoZero.symm) (by simp)
@@ -410,6 +640,12 @@ variable [HasEqualizers C]
 
 attribute [local instance] epi_comp
 
+/- warning: category_theory.limits.image_subobject_comp_le_epi_of_epi -> CategoryTheory.Limits.imageSubobject_comp_le_epi_of_epi is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_comp_le_epi_of_epi CategoryTheory.Limits.imageSubobject_comp_le_epi_of_epiₓ'. -/
 /-- The morphism `image_subobject (h ≫ f) ⟶ image_subobject f`
 is an epimorphism when `h` is an epimorphism.
 In general this does not imply that `image_subobject (h ≫ f) = image_subobject f`,
@@ -429,12 +665,24 @@ section
 
 variable [HasEqualizers C]
 
+/- warning: category_theory.limits.image_subobject_comp_iso -> CategoryTheory.Limits.imageSubobjectCompIso is a dubious translation:
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 /-- Postcomposing by an isomorphism gives an isomorphism between image subobjects. -/
 def imageSubobjectCompIso (f : X ⟶ Y) [HasImage f] {Y' : C} (h : Y ⟶ Y') [IsIso h] :
     (imageSubobject (f ≫ h) : C) ≅ (imageSubobject f : C) :=
   imageSubobjectIso _ ≪≫ (image.compIso _ _).symm ≪≫ (imageSubobjectIso _).symm
 #align category_theory.limits.image_subobject_comp_iso CategoryTheory.Limits.imageSubobjectCompIso
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_comp_iso_hom_arrow CategoryTheory.Limits.imageSubobjectCompIso_hom_arrowₓ'. -/
 @[simp, reassoc.1]
 theorem imageSubobjectCompIso_hom_arrow (f : X ⟶ Y) [HasImage f] {Y' : C} (h : Y ⟶ Y') [IsIso h] :
     (imageSubobjectCompIso f h).Hom ≫ (imageSubobject f).arrow =
@@ -442,6 +690,12 @@ theorem imageSubobjectCompIso_hom_arrow (f : X ⟶ Y) [HasImage f] {Y' : C} (h :
   by simp [image_subobject_comp_iso]
 #align category_theory.limits.image_subobject_comp_iso_hom_arrow CategoryTheory.Limits.imageSubobjectCompIso_hom_arrow
 
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(Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_4)) (CategoryTheory.Limits.imageSubobjectCompIso.{u1, u2} C _inst_1 X Y _inst_3 f _inst_4 Y' h _inst_5)) (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 Y' (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y' (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Y' f h) (CategoryTheory.Limits.hasImage_comp_iso.{u1, u2} C _inst_1 X Y f Y' h _inst_4 _inst_5)))) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 Y) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 Y))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 Y)) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_4)) Y Y' (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 Y (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 X Y f _inst_4)) h)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_comp_iso_inv_arrow CategoryTheory.Limits.imageSubobjectCompIso_inv_arrowₓ'. -/
 @[simp, reassoc.1]
 theorem imageSubobjectCompIso_inv_arrow (f : X ⟶ Y) [HasImage f] {Y' : C} (h : Y ⟶ Y') [IsIso h] :
     (imageSubobjectCompIso f h).inv ≫ (imageSubobject (f ≫ h)).arrow =
@@ -451,17 +705,27 @@ theorem imageSubobjectCompIso_inv_arrow (f : X ⟶ Y) [HasImage f] {Y' : C} (h :
 
 end
 
+#print CategoryTheory.Limits.imageSubobject_mono /-
 theorem imageSubobject_mono (f : X ⟶ Y) [Mono f] : imageSubobject f = mk f :=
   eq_of_comm (imageSubobjectIso f ≪≫ imageMonoIsoSource f ≪≫ (underlyingIso f).symm) (by simp)
 #align category_theory.limits.image_subobject_mono CategoryTheory.Limits.imageSubobject_mono
+-/
 
+#print CategoryTheory.Limits.imageSubobject_iso_comp /-
 /-- Precomposing by an isomorphism does not change the image subobject. -/
 theorem imageSubobject_iso_comp [HasEqualizers C] {X' : C} (h : X' ⟶ X) [IsIso h] (f : X ⟶ Y)
     [HasImage f] : imageSubobject (h ≫ f) = imageSubobject f :=
   le_antisymm (imageSubobject_comp_le h f)
     (Subobject.mk_le_mk_of_comm (inv (image.preComp h f)) (by simp))
 #align category_theory.limits.image_subobject_iso_comp CategoryTheory.Limits.imageSubobject_iso_comp
+-/
 
+/- warning: category_theory.limits.image_subobject_le -> CategoryTheory.Limits.imageSubobject_le is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {A : C} {B : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Limits.HasImage.{u1, u2} C _inst_1 A B f] (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X)), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A ((fun (a : Type.{max u2 u1}) (b : Type.{u2}) [self : HasLiftT.{succ (max u2 u1), succ u2} a b] => self.0) (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (HasLiftT.mk.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CoeTCₓ.coe.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (coeBase.{succ (max u2 u1), succ u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) C (CategoryTheory.Subobject.hasCoe.{u1, u2} C _inst_1 B)))) X) B h (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)) f) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Subobject.partialOrder.{u2, u1} C _inst_1 B))) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 A B f _inst_3) X)
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {A : C} {B : C} {X : CategoryTheory.Subobject.{u1, u2} C _inst_1 B} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) [_inst_3 : CategoryTheory.Limits.HasImage.{u1, u2} C _inst_1 A B f] (h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X)), (Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) A B) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) A (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 B)) X) B h (CategoryTheory.Subobject.arrow.{u1, u2} C _inst_1 B X)) f) -> (LE.le.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (Preorder.toLE.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 B) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 B))) (CategoryTheory.Limits.imageSubobject.{u1, u2} C _inst_1 A B f _inst_3) X)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.image_subobject_le CategoryTheory.Limits.imageSubobject_leₓ'. -/
 theorem imageSubobject_le {A B : C} {X : Subobject B} (f : A ⟶ B) [HasImage f] (h : A ⟶ X)
     (w : h ≫ X.arrow = f) : imageSubobject f ≤ X :=
   Subobject.le_of_comm
@@ -473,11 +737,14 @@ theorem imageSubobject_le {A B : C} {X : Subobject B} (f : A ⟶ B) [HasImage f]
     (by simp)
 #align category_theory.limits.image_subobject_le CategoryTheory.Limits.imageSubobject_le
 
+#print CategoryTheory.Limits.imageSubobject_le_mk /-
 theorem imageSubobject_le_mk {A B : C} {X : C} (g : X ⟶ B) [Mono g] (f : A ⟶ B) [HasImage f]
     (h : A ⟶ X) (w : h ≫ g = f) : imageSubobject f ≤ Subobject.mk g :=
   imageSubobject_le f (h ≫ (Subobject.underlyingIso g).inv) (by simp [w])
 #align category_theory.limits.image_subobject_le_mk CategoryTheory.Limits.imageSubobject_le_mk
+-/
 
+#print CategoryTheory.Limits.imageSubobjectMap /-
 /-- Given a commutative square between morphisms `f` and `g`,
 we have a morphism in the category from `image_subobject f` to `image_subobject g`. -/
 def imageSubobjectMap {W X Y Z : C} {f : W ⟶ X} [HasImage f] {g : Y ⟶ Z} [HasImage g]
@@ -485,7 +752,9 @@ def imageSubobjectMap {W X Y Z : C} {f : W ⟶ X} [HasImage f] {g : Y ⟶ Z} [Ha
     (imageSubobject f : C) ⟶ (imageSubobject g : C) :=
   (imageSubobjectIso f).Hom ≫ image.map sq ≫ (imageSubobjectIso g).inv
 #align category_theory.limits.image_subobject_map CategoryTheory.Limits.imageSubobjectMap
+-/
 
+#print CategoryTheory.Limits.imageSubobjectMap_arrow /-
 @[simp, reassoc.1]
 theorem imageSubobjectMap_arrow {W X Y Z : C} {f : W ⟶ X} [HasImage f] {g : Y ⟶ Z} [HasImage g]
     (sq : Arrow.mk f ⟶ Arrow.mk g) [HasImageMap sq] :
@@ -494,13 +763,17 @@ theorem imageSubobjectMap_arrow {W X Y Z : C} {f : W ⟶ X} [HasImage f] {g : Y
   simp only [image_subobject_map, category.assoc, image_subobject_arrow']
   erw [image.map_ι, ← category.assoc, image_subobject_arrow]
 #align category_theory.limits.image_subobject_map_arrow CategoryTheory.Limits.imageSubobjectMap_arrow
+-/
 
+#print CategoryTheory.Limits.image_map_comp_imageSubobjectIso_inv /-
 theorem image_map_comp_imageSubobjectIso_inv {W X Y Z : C} {f : W ⟶ X} [HasImage f] {g : Y ⟶ Z}
     [HasImage g] (sq : Arrow.mk f ⟶ Arrow.mk g) [HasImageMap sq] :
     image.map sq ≫ (imageSubobjectIso _).inv = (imageSubobjectIso _).inv ≫ imageSubobjectMap sq :=
   by ext <;> simp
 #align category_theory.limits.image_map_comp_image_subobject_iso_inv CategoryTheory.Limits.image_map_comp_imageSubobjectIso_inv
+-/
 
+#print CategoryTheory.Limits.imageSubobjectIso_comp_image_map /-
 theorem imageSubobjectIso_comp_image_map {W X Y Z : C} {f : W ⟶ X} [HasImage f] {g : Y ⟶ Z}
     [HasImage g] (sq : Arrow.mk f ⟶ Arrow.mk g) [HasImageMap sq] :
     (imageSubobjectIso _).Hom ≫ image.map sq = imageSubobjectMap sq ≫ (imageSubobjectIso _).Hom :=
@@ -509,6 +782,7 @@ theorem imageSubobjectIso_comp_image_map {W X Y Z : C} {f : W ⟶ X} [HasImage f
       image_map_comp_image_subobject_iso_inv] <;>
     rfl
 #align category_theory.limits.image_subobject_iso_comp_image_map CategoryTheory.Limits.imageSubobjectIso_comp_image_map
+-/
 
 end Image

956af7c7

bump to nightly-2023-04-17-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/17ad94b4953419f3e3ce3e77da3239c62d1d09f0

9d4337e1

Diff

@@ -250,7 +250,7 @@ theorem kernelSubobject_comp_mono (f : X ⟶ Y) [HasKernel f] {Z : C} (h : Y ⟶
 #align category_theory.limits.kernel_subobject_comp_mono CategoryTheory.Limits.kernelSubobject_comp_mono
 
 instance kernelSubobject_comp_mono_isIso (f : X ⟶ Y) [HasKernel f] {Z : C} (h : Y ⟶ Z) [Mono h] :
-    IsIso (Subobject.ofLe _ _ (kernelSubobject_comp_le f h)) :=
+    IsIso (Subobject.ofLE _ _ (kernelSubobject_comp_le f h)) :=
   by
   rw [of_le_mk_le_mk_of_comm (kernel_comp_mono f h).inv]
   · infer_instance
@@ -416,7 +416,7 @@ In general this does not imply that `image_subobject (h ≫ f) = image_subobject
 although it will when the ambient category is abelian.
  -/
 instance imageSubobject_comp_le_epi_of_epi {X' : C} (h : X' ⟶ X) [Epi h] (f : X ⟶ Y) [HasImage f]
-    [HasImage (h ≫ f)] : Epi (Subobject.ofLe _ _ (imageSubobject_comp_le h f)) :=
+    [HasImage (h ≫ f)] : Epi (Subobject.ofLE _ _ (imageSubobject_comp_le h f)) :=
   by
   rw [of_le_mk_le_mk_of_comm (image.pre_comp h f)]
   · infer_instance

956af7c7

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

956af7c7

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

@@ -2,14 +2,11 @@
 Copyright (c) 2020 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta, Scott Morrison
-
-! This file was ported from Lean 3 source module category_theory.subobject.limits
-! leanprover-community/mathlib commit 956af7c76589f444f2e1313911bad16366ea476d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Subobject.Lattice
 
+#align_import category_theory.subobject.limits from "leanprover-community/mathlib"@"956af7c76589f444f2e1313911bad16366ea476d"
+
 /-!
 # Specific subobjects

956af7c7

chore: fix grammar 2/3 (#5002)

Part 2 of #5001

9e80ae3b

Diff

@@ -230,7 +230,7 @@ theorem kernelSubobject_comp_le (f : X ⟶ Y) [HasKernel f] {Z : C} (h : Y ⟶ Z
   le_kernelSubobject _ _ (by simp)
 #align category_theory.limits.kernel_subobject_comp_le CategoryTheory.Limits.kernelSubobject_comp_le
 
-/-- Postcomposing by an monomorphism does not change the kernel subobject. -/
+/-- Postcomposing by a monomorphism does not change the kernel subobject. -/
 @[simp]
 theorem kernelSubobject_comp_mono (f : X ⟶ Y) [HasKernel f] {Z : C} (h : Y ⟶ Z) [Mono h] :
     kernelSubobject (f ≫ h) = kernelSubobject f :=

956af7c7

chore: made Opposite a structure (#3193)

The opposite category is no longer a type synonym, but a structure.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com> Co-authored-by: Scott Morrison <scott@tqft.net>

d090d0a8

Diff

@@ -427,7 +427,7 @@ theorem imageSubobjectCompIso_inv_arrow (f : X ⟶ Y) [HasImage f] {Y' : C} (h :
 
 end
 
-theorem imageSubobject_mono (f : X ⟶ Y) [Mono f] : imageSubobject f = mk f :=
+theorem imageSubobject_mono (f : X ⟶ Y) [Mono f] : imageSubobject f = Subobject.mk f :=
   eq_of_comm (imageSubobjectIso f ≪≫ imageMonoIsoSource f ≪≫ (underlyingIso f).symm) (by simp)
 #align category_theory.limits.image_subobject_mono CategoryTheory.Limits.imageSubobject_mono

956af7c7

feat: port CategoryTheory.Subobject.Limits (#3450)

Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>

74a7c849

`category_theory.subobject.limits` ⟷ `Mathlib.CategoryTheory.Subobject.Limits`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 3 + 288

category_theory.subobject.limits ⟷ Mathlib.CategoryTheory.Subobject.Limits

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 3 + 288

`category_theory.subobject.limits` ⟷ `Mathlib.CategoryTheory.Subobject.Limits`