category_theory.abelian.functor_category

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

8abfb3ba

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

25a9423c

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,10 +3,10 @@ Copyright (c) 2022 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.CategoryTheory.Abelian.Basic
-import Mathbin.CategoryTheory.Preadditive.FunctorCategory
-import Mathbin.CategoryTheory.Limits.Shapes.FunctorCategory
-import Mathbin.CategoryTheory.Limits.Preserves.Shapes.Kernels
+import CategoryTheory.Abelian.Basic
+import CategoryTheory.Preadditive.FunctorCategory
+import CategoryTheory.Limits.Shapes.FunctorCategory
+import CategoryTheory.Limits.Preserves.Shapes.Kernels
 
 #align_import category_theory.abelian.functor_category from "leanprover-community/mathlib"@"25a9423c6b2c8626e91c688bfd6c1d0a986a3e6e"

25a9423c

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,17 +2,14 @@
 Copyright (c) 2022 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module category_theory.abelian.functor_category
-! leanprover-community/mathlib commit 25a9423c6b2c8626e91c688bfd6c1d0a986a3e6e
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Abelian.Basic
 import Mathbin.CategoryTheory.Preadditive.FunctorCategory
 import Mathbin.CategoryTheory.Limits.Shapes.FunctorCategory
 import Mathbin.CategoryTheory.Limits.Preserves.Shapes.Kernels
 
+#align_import category_theory.abelian.functor_category from "leanprover-community/mathlib"@"25a9423c6b2c8626e91c688bfd6c1d0a986a3e6e"
+
 /-!
 # If `D` is abelian, then the functor category `C ⥤ D` is also abelian.

25a9423c

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -42,6 +42,7 @@ namespace FunctorCategory
 
 variable {F G : C ⥤ D} (α : F ⟶ G) (X : C)
 
+#print CategoryTheory.Abelian.FunctorCategory.coimageObjIso /-
 /-- The abelian coimage in a functor category can be calculated componentwise. -/
 @[simps]
 def coimageObjIso : (Abelian.coimage α).obj X ≅ Abelian.coimage (α.app X) :=
@@ -52,7 +53,9 @@ def coimageObjIso : (Abelian.coimage α).obj X ≅ Abelian.coimage (α.app X) :=
         simp only [category.comp_id]
         exact (kernel_comparison_comp_ι _ ((evaluation C D).obj X)).symm)
 #align category_theory.abelian.functor_category.coimage_obj_iso CategoryTheory.Abelian.FunctorCategory.coimageObjIso
+-/
 
+#print CategoryTheory.Abelian.FunctorCategory.imageObjIso /-
 /-- The abelian image in a functor category can be calculated componentwise. -/
 @[simps]
 def imageObjIso : (Abelian.image α).obj X ≅ Abelian.image (α.app X) :=
@@ -65,7 +68,9 @@ def imageObjIso : (Abelian.image α).obj X ≅ Abelian.image (α.app X) :=
         simp only [category.id_comp, category.comp_id]
         exact (π_comp_cokernel_comparison _ ((evaluation C D).obj X)).symm)
 #align category_theory.abelian.functor_category.image_obj_iso CategoryTheory.Abelian.FunctorCategory.imageObjIso
+-/
 
+#print CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app /-
 theorem coimageImageComparison_app :
     coimageImageComparison (α.app X) =
       (coimage_obj_iso α X).inv ≫ (coimageImageComparison α).app X ≫ (image_obj_iso α X).Hom :=
@@ -80,7 +85,9 @@ theorem coimageImageComparison_app :
   simp only [← functor.map_comp]
   simp only [coimage_image_factorisation, evaluation_obj_map]
 #align category_theory.abelian.functor_category.coimage_image_comparison_app CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app
+-/
 
+#print CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app' /-
 theorem coimageImageComparison_app' :
     (coimageImageComparison α).app X =
       (coimage_obj_iso α X).Hom ≫ coimageImageComparison (α.app X) ≫ (image_obj_iso α X).inv :=
@@ -88,19 +95,24 @@ theorem coimageImageComparison_app' :
   simp only [coimage_image_comparison_app, iso.hom_inv_id_assoc, iso.hom_inv_id, category.assoc,
     category.comp_id]
 #align category_theory.abelian.functor_category.coimage_image_comparison_app' CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app'
+-/
 
+#print CategoryTheory.Abelian.FunctorCategory.functor_category_isIso_coimageImageComparison /-
 instance functor_category_isIso_coimageImageComparison : IsIso (Abelian.coimageImageComparison α) :=
   by
   have : ∀ X : C, is_iso ((abelian.coimage_image_comparison α).app X) := by intros;
     rw [coimage_image_comparison_app']; infer_instance
   apply nat_iso.is_iso_of_is_iso_app
 #align category_theory.abelian.functor_category.functor_category_is_iso_coimage_image_comparison CategoryTheory.Abelian.FunctorCategory.functor_category_isIso_coimageImageComparison
+-/
 
 end FunctorCategory
 
+#print CategoryTheory.Abelian.functorCategoryAbelian /-
 noncomputable instance functorCategoryAbelian : Abelian (C ⥤ D) :=
   Abelian.ofCoimageImageComparisonIsIso
 #align category_theory.abelian.functor_category_abelian CategoryTheory.Abelian.functorCategoryAbelian
+-/
 
 end

25a9423c

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -91,7 +91,7 @@ theorem coimageImageComparison_app' :
 
 instance functor_category_isIso_coimageImageComparison : IsIso (Abelian.coimageImageComparison α) :=
   by
-  have : ∀ X : C, is_iso ((abelian.coimage_image_comparison α).app X) := by intros ;
+  have : ∀ X : C, is_iso ((abelian.coimage_image_comparison α).app X) := by intros;
     rw [coimage_image_comparison_app']; infer_instance
   apply nat_iso.is_iso_of_is_iso_app
 #align category_theory.abelian.functor_category.functor_category_is_iso_coimage_image_comparison CategoryTheory.Abelian.FunctorCategory.functor_category_isIso_coimageImageComparison

25a9423c

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -42,12 +42,6 @@ namespace FunctorCategory
 
 variable {F G : C ⥤ D} (α : F ⟶ G) (X : C)
 
-/- warning: category_theory.abelian.functor_category.coimage_obj_iso -> CategoryTheory.Abelian.FunctorCategory.coimageObjIso is a dubious translation:
-lean 3 declaration is
-  forall {C : Type.{max u3 u4}} [_inst_1 : CategoryTheory.Category.{u3, max u3 u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{max u1 u3 u4, u2} D] [_inst_3 : CategoryTheory.Abelian.{max u1 u3 u4, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{succ (max u1 u3 u4), max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2))) F G) (X : C), CategoryTheory.Iso.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X))
-but is expected to have type
-  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{max (succ u4) (succ u1), max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2))) F G) (X : C), CategoryTheory.Iso.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X))
-Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category.coimage_obj_iso CategoryTheory.Abelian.FunctorCategory.coimageObjIsoₓ'. -/
 /-- The abelian coimage in a functor category can be calculated componentwise. -/
 @[simps]
 def coimageObjIso : (Abelian.coimage α).obj X ≅ Abelian.coimage (α.app X) :=
@@ -59,12 +53,6 @@ def coimageObjIso : (Abelian.coimage α).obj X ≅ Abelian.coimage (α.app X) :=
         exact (kernel_comparison_comp_ι _ ((evaluation C D).obj X)).symm)
 #align category_theory.abelian.functor_category.coimage_obj_iso CategoryTheory.Abelian.FunctorCategory.coimageObjIso
 
-/- warning: category_theory.abelian.functor_category.image_obj_iso -> CategoryTheory.Abelian.FunctorCategory.imageObjIso is a dubious translation:
-lean 3 declaration is
-  forall {C : Type.{max u3 u4}} [_inst_1 : CategoryTheory.Category.{u3, max u3 u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{max u1 u3 u4, u2} D] [_inst_3 : CategoryTheory.Abelian.{max u1 u3 u4, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{succ (max u1 u3 u4), max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2))) F G) (X : C), CategoryTheory.Iso.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.imageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.imageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X))
-but is expected to have type
-  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{max (succ u4) (succ u1), max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2))) F G) (X : C), CategoryTheory.Iso.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X))
-Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category.image_obj_iso CategoryTheory.Abelian.FunctorCategory.imageObjIsoₓ'. -/
 /-- The abelian image in a functor category can be calculated componentwise. -/
 @[simps]
 def imageObjIso : (Abelian.image α).obj X ≅ Abelian.image (α.app X) :=
@@ -78,9 +66,6 @@ def imageObjIso : (Abelian.image α).obj X ≅ Abelian.image (α.app X) :=
         exact (π_comp_cokernel_comparison _ ((evaluation C D).obj X)).symm)
 #align category_theory.abelian.functor_category.image_obj_iso CategoryTheory.Abelian.FunctorCategory.imageObjIso
 
-/- warning: category_theory.abelian.functor_category.coimage_image_comparison_app -> CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category.coimage_image_comparison_app CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_appₓ'. -/
 theorem coimageImageComparison_app :
     coimageImageComparison (α.app X) =
       (coimage_obj_iso α X).inv ≫ (coimageImageComparison α).app X ≫ (image_obj_iso α X).Hom :=
@@ -96,9 +81,6 @@ theorem coimageImageComparison_app :
   simp only [coimage_image_factorisation, evaluation_obj_map]
 #align category_theory.abelian.functor_category.coimage_image_comparison_app CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app
 
-/- warning: category_theory.abelian.functor_category.coimage_image_comparison_app' -> CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category.coimage_image_comparison_app' CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app'ₓ'. -/
 theorem coimageImageComparison_app' :
     (coimageImageComparison α).app X =
       (coimage_obj_iso α X).Hom ≫ coimageImageComparison (α.app X) ≫ (image_obj_iso α X).inv :=
@@ -107,9 +89,6 @@ theorem coimageImageComparison_app' :
     category.comp_id]
 #align category_theory.abelian.functor_category.coimage_image_comparison_app' CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app'
 
-/- warning: category_theory.abelian.functor_category.functor_category_is_iso_coimage_image_comparison -> CategoryTheory.Abelian.FunctorCategory.functor_category_isIso_coimageImageComparison is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category.functor_category_is_iso_coimage_image_comparison CategoryTheory.Abelian.FunctorCategory.functor_category_isIso_coimageImageComparisonₓ'. -/
 instance functor_category_isIso_coimageImageComparison : IsIso (Abelian.coimageImageComparison α) :=
   by
   have : ∀ X : C, is_iso ((abelian.coimage_image_comparison α).app X) := by intros ;
@@ -119,12 +98,6 @@ instance functor_category_isIso_coimageImageComparison : IsIso (Abelian.coimageI
 
 end FunctorCategory
 
-/- warning: category_theory.abelian.functor_category_abelian -> CategoryTheory.Abelian.functorCategoryAbelian is a dubious translation:
-lean 3 declaration is
-  forall {C : Type.{max u3 u4}} [_inst_1 : CategoryTheory.Category.{u3, max u3 u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{max u1 u3 u4, u2} D] [_inst_3 : CategoryTheory.Abelian.{max u1 u3 u4, u2} D _inst_2], CategoryTheory.Abelian.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2)
-but is expected to have type
-  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2], CategoryTheory.Abelian.{max u4 u1, max (max (max u2 u4) u1) u3} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2)
-Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category_abelian CategoryTheory.Abelian.functorCategoryAbelianₓ'. -/
 noncomputable instance functorCategoryAbelian : Abelian (C ⥤ D) :=
   Abelian.ofCoimageImageComparisonIsIso
 #align category_theory.abelian.functor_category_abelian CategoryTheory.Abelian.functorCategoryAbelian

25a9423c

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -112,11 +112,8 @@ theorem coimageImageComparison_app' :
 Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category.functor_category_is_iso_coimage_image_comparison CategoryTheory.Abelian.FunctorCategory.functor_category_isIso_coimageImageComparisonₓ'. -/
 instance functor_category_isIso_coimageImageComparison : IsIso (Abelian.coimageImageComparison α) :=
   by
-  have : ∀ X : C, is_iso ((abelian.coimage_image_comparison α).app X) :=
-    by
-    intros
-    rw [coimage_image_comparison_app']
-    infer_instance
+  have : ∀ X : C, is_iso ((abelian.coimage_image_comparison α).app X) := by intros ;
+    rw [coimage_image_comparison_app']; infer_instance
   apply nat_iso.is_iso_of_is_iso_app
 #align category_theory.abelian.functor_category.functor_category_is_iso_coimage_image_comparison CategoryTheory.Abelian.FunctorCategory.functor_category_isIso_coimageImageComparison

25a9423c

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -79,10 +79,7 @@ def imageObjIso : (Abelian.image α).obj X ≅ Abelian.image (α.app X) :=
 #align category_theory.abelian.functor_category.image_obj_iso CategoryTheory.Abelian.FunctorCategory.imageObjIso
 
 /- warning: category_theory.abelian.functor_category.coimage_image_comparison_app -> CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app is a dubious translation:
-lean 3 declaration is
-  forall {C : Type.{max u3 u4}} [_inst_1 : CategoryTheory.Category.{u3, max u3 u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{max u1 u3 u4, u2} D] [_inst_3 : CategoryTheory.Abelian.{max u1 u3 u4, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{succ (max u1 u3 u4), max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2))) F G) (X : C), Eq.{succ (max u1 u3 u4)} (Quiver.Hom.{succ (max u1 u3 u4), u2} D (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, u2} D (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, u2} D _inst_2)) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X))) (CategoryTheory.Abelian.coimageImageComparison.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.CategoryStruct.comp.{max u1 u3 u4, u2} D (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, u2} D _inst_2) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Iso.inv.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X)) (CategoryTheory.CategoryStruct.comp.{max u1 u3 u4, u2} D (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, u2} D _inst_2) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) (CategoryTheory.Abelian.coimageImageComparison.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Iso.hom.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.imageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.imageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.imageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X))))
-but is expected to have type
-  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{max (succ u4) (succ u1), max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2))) F G) (X : C), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X))) (CategoryTheory.Abelian.coimageImageComparison.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.CategoryStruct.comp.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Iso.inv.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X)) (CategoryTheory.CategoryStruct.comp.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.coimageImageComparison.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) X) (CategoryTheory.Iso.hom.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.imageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category.coimage_image_comparison_app CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_appₓ'. -/
 theorem coimageImageComparison_app :
     coimageImageComparison (α.app X) =
@@ -100,10 +97,7 @@ theorem coimageImageComparison_app :
 #align category_theory.abelian.functor_category.coimage_image_comparison_app CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app
 
 /- warning: category_theory.abelian.functor_category.coimage_image_comparison_app' -> CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app' is a dubious translation:
-lean 3 declaration is
-  forall {C : Type.{max u3 u4}} [_inst_1 : CategoryTheory.Category.{u3, max u3 u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{max u1 u3 u4, u2} D] [_inst_3 : CategoryTheory.Abelian.{max u1 u3 u4, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{succ (max u1 u3 u4), max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2))) F G) (X : C), Eq.{succ (max u1 u3 u4)} (Quiver.Hom.{succ (max u1 u3 u4), u2} D (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, u2} D (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, u2} D _inst_2)) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X)) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) (CategoryTheory.Abelian.coimageImageComparison.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.CategoryStruct.comp.{max u1 u3 u4, u2} D (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, u2} D _inst_2) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Iso.hom.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X)) (CategoryTheory.CategoryStruct.comp.{max u1 u3 u4, u2} D (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, u2} D _inst_2) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.coimageImageComparison.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Iso.inv.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.imageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.imageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.imageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X))))
-but is expected to have type
-  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{max (succ u4) (succ u1), max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2))) F G) (X : C), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X)) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.coimageImageComparison.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) X) (CategoryTheory.CategoryStruct.comp.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Iso.hom.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X)) (CategoryTheory.CategoryStruct.comp.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimageImageComparison.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Iso.inv.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.imageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category.coimage_image_comparison_app' CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app'ₓ'. -/
 theorem coimageImageComparison_app' :
     (coimageImageComparison α).app X =
@@ -114,10 +108,7 @@ theorem coimageImageComparison_app' :
 #align category_theory.abelian.functor_category.coimage_image_comparison_app' CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app'
 
 /- warning: category_theory.abelian.functor_category.functor_category_is_iso_coimage_image_comparison -> CategoryTheory.Abelian.FunctorCategory.functor_category_isIso_coimageImageComparison is a dubious translation:
-lean 3 declaration is
-  forall {C : Type.{max u3 u4}} [_inst_1 : CategoryTheory.Category.{u3, max u3 u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{max u1 u3 u4, u2} D] [_inst_3 : CategoryTheory.Abelian.{max u1 u3 u4, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{succ (max u1 u3 u4), max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2))) F G), CategoryTheory.IsIso.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, max u3 u4, max u1 u3 u4, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, max u3 u4, max u1 u3 u4, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{max u1 u3 u4, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, max u3 u4, max u1 u3 u4, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, max u3 u4, max u1 u3 u4, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{max u1 u3 u4, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.coimageImageComparison.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, max u3 u4, max u1 u3 u4, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, max u3 u4, max u1 u3 u4, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{max u1 u3 u4, u2} D _inst_2 _inst_3))) F G α)
-but is expected to have type
-  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{max (succ u4) (succ u1), max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2))) F G), CategoryTheory.IsIso.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.coimageImageComparison.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category.functor_category_is_iso_coimage_image_comparison CategoryTheory.Abelian.FunctorCategory.functor_category_isIso_coimageImageComparisonₓ'. -/
 instance functor_category_isIso_coimageImageComparison : IsIso (Abelian.coimageImageComparison α) :=
   by

25a9423c

bump to nightly-2023-04-24-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/09079525fd01b3dda35e96adaa08d2f943e1648c

98373a37

Diff

@@ -46,7 +46,7 @@ variable {F G : C ⥤ D} (α : F ⟶ G) (X : C)
 lean 3 declaration is
   forall {C : Type.{max u3 u4}} [_inst_1 : CategoryTheory.Category.{u3, max u3 u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{max u1 u3 u4, u2} D] [_inst_3 : CategoryTheory.Abelian.{max u1 u3 u4, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{succ (max u1 u3 u4), max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2))) F G) (X : C), CategoryTheory.Iso.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X))
 but is expected to have type
-  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{max (succ u4) (succ u1), max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2))) F G) (X : C), CategoryTheory.Iso.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X))
+  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{max (succ u4) (succ u1), max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2))) F G) (X : C), CategoryTheory.Iso.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X))
 Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category.coimage_obj_iso CategoryTheory.Abelian.FunctorCategory.coimageObjIsoₓ'. -/
 /-- The abelian coimage in a functor category can be calculated componentwise. -/
 @[simps]
@@ -63,7 +63,7 @@ def coimageObjIso : (Abelian.coimage α).obj X ≅ Abelian.coimage (α.app X) :=
 lean 3 declaration is
   forall {C : Type.{max u3 u4}} [_inst_1 : CategoryTheory.Category.{u3, max u3 u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{max u1 u3 u4, u2} D] [_inst_3 : CategoryTheory.Abelian.{max u1 u3 u4, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{succ (max u1 u3 u4), max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2))) F G) (X : C), CategoryTheory.Iso.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.imageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.imageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X))
 but is expected to have type
-  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{max (succ u4) (succ u1), max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2))) F G) (X : C), CategoryTheory.Iso.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X))
+  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{max (succ u4) (succ u1), max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2))) F G) (X : C), CategoryTheory.Iso.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X))
 Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category.image_obj_iso CategoryTheory.Abelian.FunctorCategory.imageObjIsoₓ'. -/
 /-- The abelian image in a functor category can be calculated componentwise. -/
 @[simps]
@@ -82,7 +82,7 @@ def imageObjIso : (Abelian.image α).obj X ≅ Abelian.image (α.app X) :=
 lean 3 declaration is
   forall {C : Type.{max u3 u4}} [_inst_1 : CategoryTheory.Category.{u3, max u3 u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{max u1 u3 u4, u2} D] [_inst_3 : CategoryTheory.Abelian.{max u1 u3 u4, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{succ (max u1 u3 u4), max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2))) F G) (X : C), Eq.{succ (max u1 u3 u4)} (Quiver.Hom.{succ (max u1 u3 u4), u2} D (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, u2} D (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, u2} D _inst_2)) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X))) (CategoryTheory.Abelian.coimageImageComparison.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.CategoryStruct.comp.{max u1 u3 u4, u2} D (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, u2} D _inst_2) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Iso.inv.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X)) (CategoryTheory.CategoryStruct.comp.{max u1 u3 u4, u2} D (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, u2} D _inst_2) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) (CategoryTheory.Abelian.coimageImageComparison.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Iso.hom.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.imageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.imageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.imageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X))))
 but is expected to have type
-  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{max (succ u4) (succ u1), max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2))) F G) (X : C), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X))) (CategoryTheory.Abelian.coimageImageComparison.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.CategoryStruct.comp.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Iso.inv.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X)) (CategoryTheory.CategoryStruct.comp.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.coimageImageComparison.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) X) (CategoryTheory.Iso.hom.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.imageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X))))
+  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{max (succ u4) (succ u1), max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2))) F G) (X : C), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X))) (CategoryTheory.Abelian.coimageImageComparison.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.CategoryStruct.comp.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Iso.inv.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X)) (CategoryTheory.CategoryStruct.comp.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.coimageImageComparison.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) X) (CategoryTheory.Iso.hom.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.imageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X))))
 Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category.coimage_image_comparison_app CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_appₓ'. -/
 theorem coimageImageComparison_app :
     coimageImageComparison (α.app X) =
@@ -103,7 +103,7 @@ theorem coimageImageComparison_app :
 lean 3 declaration is
   forall {C : Type.{max u3 u4}} [_inst_1 : CategoryTheory.Category.{u3, max u3 u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{max u1 u3 u4, u2} D] [_inst_3 : CategoryTheory.Abelian.{max u1 u3 u4, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{succ (max u1 u3 u4), max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2))) F G) (X : C), Eq.{succ (max u1 u3 u4)} (Quiver.Hom.{succ (max u1 u3 u4), u2} D (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, u2} D (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, u2} D _inst_2)) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X)) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) (CategoryTheory.Abelian.coimageImageComparison.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.CategoryStruct.comp.{max u1 u3 u4, u2} D (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, u2} D _inst_2) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Iso.hom.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X)) (CategoryTheory.CategoryStruct.comp.{max u1 u3 u4, u2} D (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, u2} D _inst_2) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.coimageImageComparison.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Iso.inv.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.imageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.imageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.imageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X))))
 but is expected to have type
-  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{max (succ u4) (succ u1), max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2))) F G) (X : C), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X)) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.coimageImageComparison.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) X) (CategoryTheory.CategoryStruct.comp.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Iso.hom.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X)) (CategoryTheory.CategoryStruct.comp.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimageImageComparison.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Iso.inv.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.imageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X))))
+  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{max (succ u4) (succ u1), max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2))) F G) (X : C), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X)) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.coimageImageComparison.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) X) (CategoryTheory.CategoryStruct.comp.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Iso.hom.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X)) (CategoryTheory.CategoryStruct.comp.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimageImageComparison.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Iso.inv.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.imageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X))))
 Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category.coimage_image_comparison_app' CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app'ₓ'. -/
 theorem coimageImageComparison_app' :
     (coimageImageComparison α).app X =

25a9423c

bump to nightly-2023-04-12-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/039ef89bef6e58b32b62898dd48e9d1a4312bb65

d9bb8048

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 
 ! This file was ported from Lean 3 source module category_theory.abelian.functor_category
-! leanprover-community/mathlib commit 8abfb3ba5e211d8376b855dab5d67f9eba9e0774
+! leanprover-community/mathlib commit 25a9423c6b2c8626e91c688bfd6c1d0a986a3e6e
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.CategoryTheory.Limits.Preserves.Shapes.Kernels
 /-!
 # If `D` is abelian, then the functor category `C ⥤ D` is also abelian.
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 -/

8abfb3ba

bump to nightly-2023-04-08-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/dc65937e7a0fff4677f0f5a7086f42da70a69575

cd9aed2d

Diff

@@ -39,6 +39,12 @@ namespace FunctorCategory
 
 variable {F G : C ⥤ D} (α : F ⟶ G) (X : C)
 
+/- warning: category_theory.abelian.functor_category.coimage_obj_iso -> CategoryTheory.Abelian.FunctorCategory.coimageObjIso is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{max u3 u4}} [_inst_1 : CategoryTheory.Category.{u3, max u3 u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{max u1 u3 u4, u2} D] [_inst_3 : CategoryTheory.Abelian.{max u1 u3 u4, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{succ (max u1 u3 u4), max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2))) F G) (X : C), CategoryTheory.Iso.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X))
+but is expected to have type
+  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{max (succ u4) (succ u1), max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2))) F G) (X : C), CategoryTheory.Iso.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X))
+Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category.coimage_obj_iso CategoryTheory.Abelian.FunctorCategory.coimageObjIsoₓ'. -/
 /-- The abelian coimage in a functor category can be calculated componentwise. -/
 @[simps]
 def coimageObjIso : (Abelian.coimage α).obj X ≅ Abelian.coimage (α.app X) :=
@@ -50,6 +56,12 @@ def coimageObjIso : (Abelian.coimage α).obj X ≅ Abelian.coimage (α.app X) :=
         exact (kernel_comparison_comp_ι _ ((evaluation C D).obj X)).symm)
 #align category_theory.abelian.functor_category.coimage_obj_iso CategoryTheory.Abelian.FunctorCategory.coimageObjIso
 
+/- warning: category_theory.abelian.functor_category.image_obj_iso -> CategoryTheory.Abelian.FunctorCategory.imageObjIso is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{max u3 u4}} [_inst_1 : CategoryTheory.Category.{u3, max u3 u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{max u1 u3 u4, u2} D] [_inst_3 : CategoryTheory.Abelian.{max u1 u3 u4, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{succ (max u1 u3 u4), max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2))) F G) (X : C), CategoryTheory.Iso.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.imageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.imageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X))
+but is expected to have type
+  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{max (succ u4) (succ u1), max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2))) F G) (X : C), CategoryTheory.Iso.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X))
+Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category.image_obj_iso CategoryTheory.Abelian.FunctorCategory.imageObjIsoₓ'. -/
 /-- The abelian image in a functor category can be calculated componentwise. -/
 @[simps]
 def imageObjIso : (Abelian.image α).obj X ≅ Abelian.image (α.app X) :=
@@ -63,6 +75,12 @@ def imageObjIso : (Abelian.image α).obj X ≅ Abelian.image (α.app X) :=
         exact (π_comp_cokernel_comparison _ ((evaluation C D).obj X)).symm)
 #align category_theory.abelian.functor_category.image_obj_iso CategoryTheory.Abelian.FunctorCategory.imageObjIso
 
+/- warning: category_theory.abelian.functor_category.coimage_image_comparison_app -> CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{max u3 u4}} [_inst_1 : CategoryTheory.Category.{u3, max u3 u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{max u1 u3 u4, u2} D] [_inst_3 : CategoryTheory.Abelian.{max u1 u3 u4, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{succ (max u1 u3 u4), max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2))) F G) (X : C), Eq.{succ (max u1 u3 u4)} (Quiver.Hom.{succ (max u1 u3 u4), u2} D (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, u2} D (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, u2} D _inst_2)) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X))) (CategoryTheory.Abelian.coimageImageComparison.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.CategoryStruct.comp.{max u1 u3 u4, u2} D (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, u2} D _inst_2) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Iso.inv.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X)) (CategoryTheory.CategoryStruct.comp.{max u1 u3 u4, u2} D (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, u2} D _inst_2) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) (CategoryTheory.Abelian.coimageImageComparison.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Iso.hom.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.imageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.imageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.imageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X))))
+but is expected to have type
+  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{max (succ u4) (succ u1), max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2))) F G) (X : C), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X))) (CategoryTheory.Abelian.coimageImageComparison.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.CategoryStruct.comp.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Iso.inv.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X)) (CategoryTheory.CategoryStruct.comp.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.coimageImageComparison.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) X) (CategoryTheory.Iso.hom.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.imageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X))))
+Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category.coimage_image_comparison_app CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_appₓ'. -/
 theorem coimageImageComparison_app :
     coimageImageComparison (α.app X) =
       (coimage_obj_iso α X).inv ≫ (coimageImageComparison α).app X ≫ (image_obj_iso α X).Hom :=
@@ -78,6 +96,12 @@ theorem coimageImageComparison_app :
   simp only [coimage_image_factorisation, evaluation_obj_map]
 #align category_theory.abelian.functor_category.coimage_image_comparison_app CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app
 
+/- warning: category_theory.abelian.functor_category.coimage_image_comparison_app' -> CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app' is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{max u3 u4}} [_inst_1 : CategoryTheory.Category.{u3, max u3 u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{max u1 u3 u4, u2} D] [_inst_3 : CategoryTheory.Abelian.{max u1 u3 u4, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{succ (max u1 u3 u4), max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2))) F G) (X : C), Eq.{succ (max u1 u3 u4)} (Quiver.Hom.{succ (max u1 u3 u4), u2} D (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, u2} D (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, u2} D _inst_2)) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X)) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) (CategoryTheory.Abelian.coimageImageComparison.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.CategoryStruct.comp.{max u1 u3 u4, u2} D (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, u2} D _inst_2) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Iso.hom.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X)) (CategoryTheory.CategoryStruct.comp.{max u1 u3 u4, u2} D (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, u2} D _inst_2) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.coimageImageComparison.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Iso.inv.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Abelian.FunctorCategory.imageObjIso._proof_1.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) (CategoryTheory.Abelian.FunctorCategory.imageObjIso._proof_2.{u4, u3, u2, u1} C _inst_1 D _inst_2 _inst_3) F G α) X) (CategoryTheory.Abelian.image.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.hasKernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.hasCokernels.{max u1 u3 u4, u2} D _inst_2 _inst_3) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F X) (CategoryTheory.Functor.obj.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 G X) (CategoryTheory.NatTrans.app.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.imageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X))))
+but is expected to have type
+  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{max (succ u4) (succ u1), max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2))) F G) (X : C), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X)) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.coimageImageComparison.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) X) (CategoryTheory.CategoryStruct.comp.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Iso.hom.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.coimageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X)) (CategoryTheory.CategoryStruct.comp.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2) (CategoryTheory.Abelian.coimage.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.coimageImageComparison.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Iso.inv.{u1, u2} D _inst_2 (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)) X) (CategoryTheory.Abelian.image.{u1, u2} D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3)) (CategoryTheory.Abelian.has_kernels.{u1, u2} D _inst_2 _inst_3) (CategoryTheory.Abelian.has_cokernels.{u1, u2} D _inst_2 _inst_3) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 F) X) (Prefunctor.obj.{succ u3, succ u1, u4, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u3, u4} C (CategoryTheory.Category.toCategoryStruct.{u3, u4} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} D (CategoryTheory.Category.toCategoryStruct.{u1, u2} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u3, u1, u4, u2} C _inst_1 D _inst_2 G) X) (CategoryTheory.NatTrans.app.{u3, u1, u4, u2} C _inst_1 D _inst_2 F G α X)) (CategoryTheory.Abelian.FunctorCategory.imageObjIso.{u1, u2, u3, u4} C _inst_1 D _inst_2 _inst_3 F G α X))))
+Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category.coimage_image_comparison_app' CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app'ₓ'. -/
 theorem coimageImageComparison_app' :
     (coimageImageComparison α).app X =
       (coimage_obj_iso α X).Hom ≫ coimageImageComparison (α.app X) ≫ (image_obj_iso α X).inv :=
@@ -86,6 +110,12 @@ theorem coimageImageComparison_app' :
     category.comp_id]
 #align category_theory.abelian.functor_category.coimage_image_comparison_app' CategoryTheory.Abelian.FunctorCategory.coimageImageComparison_app'
 
+/- warning: category_theory.abelian.functor_category.functor_category_is_iso_coimage_image_comparison -> CategoryTheory.Abelian.FunctorCategory.functor_category_isIso_coimageImageComparison is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{max u3 u4}} [_inst_1 : CategoryTheory.Category.{u3, max u3 u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{max u1 u3 u4, u2} D] [_inst_3 : CategoryTheory.Abelian.{max u1 u3 u4, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{succ (max u1 u3 u4), max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2))) F G), CategoryTheory.IsIso.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Abelian.coimage.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, max u3 u4, max u1 u3 u4, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, max u3 u4, max u1 u3 u4, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{max u1 u3 u4, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.image.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, max u3 u4, max u1 u3 u4, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, max u3 u4, max u1 u3 u4, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{max u1 u3 u4, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.coimageImageComparison.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, max u3 u4, max u1 u3 u4, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.CategoryTheory.Functor.hasZeroMorphisms.{u3, max u3 u4, max u1 u3 u4, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{max u1 u3 u4, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{max u1 u3 u4, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, max u3 u4, max u1 u3 u4, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{max u1 u3 u4, u2} D _inst_2 _inst_3))) F G α)
+but is expected to have type
+  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2] {F : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} {G : CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2} (α : Quiver.Hom.{max (succ u4) (succ u1), max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.CategoryStruct.toQuiver.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2))) F G), CategoryTheory.IsIso.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Abelian.coimage.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.image.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α) (CategoryTheory.Abelian.coimageImageComparison.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasKernels_of_hasEqualizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasLimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasEqualizers.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.hasCokernels_of_hasCoequalizers.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Limits.instHasZeroMorphismsFunctorCategory.{u3, u4, u1, u2} C _inst_1 D _inst_2 (CategoryTheory.Preadditive.preadditiveHasZeroMorphisms.{u1, u2} D _inst_2 (CategoryTheory.Abelian.toPreadditive.{u1, u2} D _inst_2 _inst_3))) (CategoryTheory.Limits.functorCategoryHasColimitsOfShape.{0, u3, 0, u4, u1, u2} D _inst_2 CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Abelian.hasCoequalizers.{u1, u2} D _inst_2 _inst_3))) F G α)
+Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category.functor_category_is_iso_coimage_image_comparison CategoryTheory.Abelian.FunctorCategory.functor_category_isIso_coimageImageComparisonₓ'. -/
 instance functor_category_isIso_coimageImageComparison : IsIso (Abelian.coimageImageComparison α) :=
   by
   have : ∀ X : C, is_iso ((abelian.coimage_image_comparison α).app X) :=
@@ -98,6 +128,12 @@ instance functor_category_isIso_coimageImageComparison : IsIso (Abelian.coimageI
 
 end FunctorCategory
 
+/- warning: category_theory.abelian.functor_category_abelian -> CategoryTheory.Abelian.functorCategoryAbelian is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{max u3 u4}} [_inst_1 : CategoryTheory.Category.{u3, max u3 u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{max u1 u3 u4, u2} D] [_inst_3 : CategoryTheory.Abelian.{max u1 u3 u4, u2} D _inst_2], CategoryTheory.Abelian.{max u1 u3 u4, max u3 (max u1 u3 u4) (max u3 u4) u2} (CategoryTheory.Functor.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, max u1 u3 u4, max u3 u4, u2} C _inst_1 D _inst_2)
+but is expected to have type
+  forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u3, u4} C] {D : Type.{u2}} [_inst_2 : CategoryTheory.Category.{u1, u2} D] [_inst_3 : CategoryTheory.Abelian.{u1, u2} D _inst_2], CategoryTheory.Abelian.{max u4 u1, max (max (max u2 u4) u1) u3} (CategoryTheory.Functor.{u3, u1, u4, u2} C _inst_1 D _inst_2) (CategoryTheory.Functor.category.{u3, u1, u4, u2} C _inst_1 D _inst_2)
+Case conversion may be inaccurate. Consider using '#align category_theory.abelian.functor_category_abelian CategoryTheory.Abelian.functorCategoryAbelianₓ'. -/
 noncomputable instance functorCategoryAbelian : Abelian (C ⥤ D) :=
   Abelian.ofCoimageImageComparisonIsIso
 #align category_theory.abelian.functor_category_abelian CategoryTheory.Abelian.functorCategoryAbelian

8abfb3ba

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

8abfb3ba

chore(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)

75c86f04

Diff

@@ -31,7 +31,6 @@ universe z w v u
 -- Porting note: removed restrictions on universes
 
 variable {C : Type u} [Category.{v} C]
-
 variable {D : Type w} [Category.{z} D] [Abelian D]
 
 namespace FunctorCategory

8abfb3ba

style: homogenise porting notes (#11145)

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

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

8be0b69c

Diff

@@ -28,7 +28,7 @@ section
 
 universe z w v u
 
--- porting note: removed restrictions on universes
+-- Porting note: removed restrictions on universes
 
 variable {C : Type u} [Category.{v} C]
 
@@ -102,7 +102,7 @@ noncomputable instance functorCategoryAbelian : Abelian (C ⥤ D) :=
 
 end
 
---porting note: the following section should be unnecessary because there are no longer
+-- Porting note: the following section should be unnecessary because there are no longer
 --any universe restrictions for `functorCategoryAbelian`
 --
 --section

8abfb3ba

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

Diff

@@ -2,17 +2,14 @@
 Copyright (c) 2022 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module category_theory.abelian.functor_category
-! leanprover-community/mathlib commit 8abfb3ba5e211d8376b855dab5d67f9eba9e0774
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Abelian.Basic
 import Mathlib.CategoryTheory.Preadditive.FunctorCategory
 import Mathlib.CategoryTheory.Limits.Shapes.FunctorCategory
 import Mathlib.CategoryTheory.Limits.Preserves.Shapes.Kernels
 
+#align_import category_theory.abelian.functor_category from "leanprover-community/mathlib"@"8abfb3ba5e211d8376b855dab5d67f9eba9e0774"
+
 /-!
 # If `D` is abelian, then the functor category `C ⥤ D` is also abelian.

8abfb3ba

feat: more consistent use of ext, and updating porting notes. (#5242)

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

dbae2f17

Diff

@@ -68,8 +68,7 @@ def imageObjIso : (Abelian.image α).obj X ≅ Abelian.image (α.app X) :=
 theorem coimageImageComparison_app :
     coimageImageComparison (α.app X) =
       (coimageObjIso α X).inv ≫ (coimageImageComparison α).app X ≫ (imageObjIso α X).hom := by
-  apply coequalizer.hom_ext
-  apply equalizer.hom_ext
+  ext
   dsimp
   dsimp [imageObjIso, coimageObjIso, cokernel.map]
   simp only [coimage_image_factorisation, PreservesKernel.iso_hom, Category.assoc,

8abfb3ba

feat: port CategoryTheory.Abelian.FunctorCategory (#3327)

406233d3

`category_theory.abelian.functor_category` ⟷ `Mathlib.CategoryTheory.Abelian.FunctorCategory`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 3 + 316

category_theory.abelian.functor_category ⟷ Mathlib.CategoryTheory.Abelian.FunctorCategory

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 3 + 316

`category_theory.abelian.functor_category` ⟷ `Mathlib.CategoryTheory.Abelian.FunctorCategory`