category_theory.limits.shapes.kernels | Mathlib porting status

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

956af7c7

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

69c6a5a1

bump to nightly-2024-04-14-09

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

f736ea6b

Diff

@@ -143,8 +143,8 @@ def ofιCongr {P : C} {ι ι' : P ⟶ X} {w : ι ≫ f = 0} (h : ι = ι') :
 #print CategoryTheory.Limits.compNatIso /-
 /-- If `F` is an equivalence, then applying `F` to a diagram indexing a (co)kernel of `f` yields
     the diagram indexing the (co)kernel of `F.map f`. -/
-def compNatIso {D : Type u'} [Category.{v} D] [HasZeroMorphisms D] (F : C ⥤ D) [IsEquivalence F] :
-    parallelPair f 0 ⋙ F ≅ parallelPair (F.map f) 0 :=
+def compNatIso {D : Type u'} [Category.{v} D] [HasZeroMorphisms D] (F : C ⥤ D)
+    [CategoryTheory.Functor.IsEquivalence F] : parallelPair f 0 ⋙ F ≅ parallelPair (F.map f) 0 :=
   (NatIso.ofComponents fun j =>
       match j with
       | zero => Iso.refl _

69c6a5a1

bump to nightly-2024-03-17-08

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

22f01ce4

Diff

@@ -199,7 +199,7 @@ def isKernelCompMono {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg :
     let s' : KernelFork f := Fork.ofι s.ι (by rw [← cancel_mono g] <;> simp [← hh, s.condition])
     let l := KernelFork.IsLimit.lift' i s'.ι s'.condition
     ⟨l.1, l.2, fun m hm => by
-      apply fork.is_limit.hom_ext i <;> rw [fork.ι_of_ι] at hm  <;> rw [hm] <;> exact l.2.symm⟩
+      apply fork.is_limit.hom_ext i <;> rw [fork.ι_of_ι] at hm <;> rw [hm] <;> exact l.2.symm⟩
 #align category_theory.limits.is_kernel_comp_mono CategoryTheory.Limits.isKernelCompMono
 -/
 
@@ -288,7 +288,7 @@ theorem kernel.lift_zero {W : C} {h} : kernel.lift f (0 : W ⟶ X) h = 0 := by e
 instance kernel.lift_mono {W : C} (k : W ⟶ X) (h : k ≫ f = 0) [Mono k] : Mono (kernel.lift f k h) :=
   ⟨fun Z g g' w => by
     replace w := w =≫ kernel.ι f
-    simp only [category.assoc, kernel.lift_ι] at w 
+    simp only [category.assoc, kernel.lift_ι] at w
     exact (cancel_mono k).1 w⟩
 #align category_theory.limits.kernel.lift_mono CategoryTheory.Limits.kernel.lift_mono
 -/
@@ -701,8 +701,7 @@ def isCokernelEpiComp {c : CokernelCofork f} (i : IsColimit c) {W} (g : W ⟶ X)
       Cofork.ofπ s.π (by apply hg.left_cancellation; rw [← category.assoc, ← hh, s.condition]; simp)
     let l := CokernelCofork.IsColimit.desc' i s'.π s'.condition
     ⟨l.1, l.2, fun m hm => by
-      apply cofork.is_colimit.hom_ext i <;> rw [cofork.π_of_π] at hm  <;> rw [hm] <;>
-        exact l.2.symm⟩
+      apply cofork.is_colimit.hom_ext i <;> rw [cofork.π_of_π] at hm <;> rw [hm] <;> exact l.2.symm⟩
 #align category_theory.limits.is_cokernel_epi_comp CategoryTheory.Limits.isCokernelEpiComp
 -/
 
@@ -795,7 +794,7 @@ instance cokernel.desc_epi {W : C} (k : Y ⟶ W) (h : f ≫ k = 0) [Epi k] :
     Epi (cokernel.desc f k h) :=
   ⟨fun Z g g' w => by
     replace w := cokernel.π f ≫= w
-    simp only [cokernel.π_desc_assoc] at w 
+    simp only [cokernel.π_desc_assoc] at w
     exact (cancel_epi k).1 w⟩
 #align category_theory.limits.cokernel.desc_epi CategoryTheory.Limits.cokernel.desc_epi
 -/
@@ -1084,7 +1083,7 @@ def cokernelImageι {X Y : C} (f : X ⟶ Y) [HasImage f] [HasCokernel (image.ι
           congr
           rw [← image.fac f]
         rw [← has_zero_morphisms.comp_zero (limits.factor_thru_image f), category.assoc,
-          cancel_epi] at w 
+          cancel_epi] at w
         exact w)
   inv :=
     cokernel.desc _ (cokernel.π _)

69c6a5a1

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2019 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison, Markus Himmel
 -/
-import Mathbin.CategoryTheory.Limits.Preserves.Shapes.Zero
+import CategoryTheory.Limits.Preserves.Shapes.Zero
 
 #align_import category_theory.limits.shapes.kernels from "leanprover-community/mathlib"@"69c6a5a12d8a2b159f20933e60115a4f2de62b58"

69c6a5a1

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2019 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison, Markus Himmel
-
-! This file was ported from Lean 3 source module category_theory.limits.shapes.kernels
-! leanprover-community/mathlib commit 69c6a5a12d8a2b159f20933e60115a4f2de62b58
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Limits.Preserves.Shapes.Zero
 
+#align_import category_theory.limits.shapes.kernels from "leanprover-community/mathlib"@"69c6a5a12d8a2b159f20933e60115a4f2de62b58"
+
 /-!
 # Kernels and cokernels

69c6a5a1

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -95,15 +95,19 @@ abbrev KernelFork :=
 
 variable {f}
 
+#print CategoryTheory.Limits.KernelFork.condition /-
 @[simp, reassoc]
 theorem KernelFork.condition (s : KernelFork f) : Fork.ι s ≫ f = 0 := by
   erw [fork.condition, has_zero_morphisms.comp_zero]
 #align category_theory.limits.kernel_fork.condition CategoryTheory.Limits.KernelFork.condition
+-/
 
+#print CategoryTheory.Limits.KernelFork.app_one /-
 @[simp]
 theorem KernelFork.app_one (s : KernelFork f) : s.π.app one = 0 := by
   simp [fork.app_one_eq_ι_comp_right]
 #align category_theory.limits.kernel_fork.app_one CategoryTheory.Limits.KernelFork.app_one
+-/
 
 #print CategoryTheory.Limits.KernelFork.ofι /-
 /-- A morphism `ι` satisfying `ι ≫ f = 0` determines a kernel fork over `f`. -/
@@ -112,11 +116,13 @@ abbrev KernelFork.ofι {Z : C} (ι : Z ⟶ X) (w : ι ≫ f = 0) : KernelFork f
 #align category_theory.limits.kernel_fork.of_ι CategoryTheory.Limits.KernelFork.ofι
 -/
 
+#print CategoryTheory.Limits.KernelFork.ι_ofι /-
 @[simp]
 theorem KernelFork.ι_ofι {X Y P : C} (f : X ⟶ Y) (ι : P ⟶ X) (w : ι ≫ f = 0) :
     Fork.ι (KernelFork.ofι ι w) = ι :=
   rfl
 #align category_theory.limits.kernel_fork.ι_of_ι CategoryTheory.Limits.KernelFork.ι_ofι
+-/
 
 section
 
@@ -137,6 +143,7 @@ def ofιCongr {P : C} {ι ι' : P ⟶ X} {w : ι ≫ f = 0} (h : ι = ι') :
 #align category_theory.limits.of_ι_congr CategoryTheory.Limits.ofιCongr
 -/
 
+#print CategoryTheory.Limits.compNatIso /-
 /-- If `F` is an equivalence, then applying `F` to a diagram indexing a (co)kernel of `f` yields
     the diagram indexing the (co)kernel of `F.map f`. -/
 def compNatIso {D : Type u'} [Category.{v} D] [HasZeroMorphisms D] (F : C ⥤ D) [IsEquivalence F] :
@@ -147,16 +154,20 @@ def compNatIso {D : Type u'} [Category.{v} D] [HasZeroMorphisms D] (F : C ⥤ D)
       | one => Iso.refl _) <|
     by tidy
 #align category_theory.limits.comp_nat_iso CategoryTheory.Limits.compNatIso
+-/
 
 end
 
+#print CategoryTheory.Limits.KernelFork.IsLimit.lift' /-
 /-- If `s` is a limit kernel fork and `k : W ⟶ X` satisfies ``k ≫ f = 0`, then there is some
     `l : W ⟶ s.X` such that `l ≫ fork.ι s = k`. -/
 def KernelFork.IsLimit.lift' {s : KernelFork f} (hs : IsLimit s) {W : C} (k : W ⟶ X)
     (h : k ≫ f = 0) : { l : W ⟶ s.pt // l ≫ Fork.ι s = k } :=
   ⟨hs.lift <| KernelFork.ofι _ h, hs.fac _ _⟩
 #align category_theory.limits.kernel_fork.is_limit.lift' CategoryTheory.Limits.KernelFork.IsLimit.lift'
+-/
 
+#print CategoryTheory.Limits.isLimitAux /-
 /-- This is a slightly more convenient method to verify that a kernel fork is a limit cone. It
     only asks for a proof of facts that carry any mathematical content -/
 def isLimitAux (t : KernelFork f) (lift : ∀ s : KernelFork f, s.pt ⟶ t.pt)
@@ -166,6 +177,7 @@ def isLimitAux (t : KernelFork f) (lift : ∀ s : KernelFork f, s.pt ⟶ t.pt)
     fac := fun s j => by cases j; · exact fac s; · simp
     uniq := fun s m w => uniq s m (w Limits.WalkingParallelPair.zero) }
 #align category_theory.limits.is_limit_aux CategoryTheory.Limits.isLimitAux
+-/
 
 #print CategoryTheory.Limits.KernelFork.IsLimit.ofι /-
 /-- This is a more convenient formulation to show that a `kernel_fork` constructed using
@@ -182,6 +194,7 @@ def KernelFork.IsLimit.ofι {W : C} (g : W ⟶ X) (eq : g ≫ f = 0)
 #align category_theory.limits.kernel_fork.is_limit.of_ι CategoryTheory.Limits.KernelFork.IsLimit.ofι
 -/
 
+#print CategoryTheory.Limits.isKernelCompMono /-
 /-- Every kernel of `f` induces a kernel of `f ≫ g` if `g` is mono. -/
 def isKernelCompMono {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg : Mono g] {h : X ⟶ Z}
     (hh : h = f ≫ g) : IsLimit (KernelFork.ofι c.ι (by simp [hh]) : KernelFork h) :=
@@ -191,14 +204,18 @@ def isKernelCompMono {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg :
     ⟨l.1, l.2, fun m hm => by
       apply fork.is_limit.hom_ext i <;> rw [fork.ι_of_ι] at hm  <;> rw [hm] <;> exact l.2.symm⟩
 #align category_theory.limits.is_kernel_comp_mono CategoryTheory.Limits.isKernelCompMono
+-/
 
+#print CategoryTheory.Limits.isKernelCompMono_lift /-
 theorem isKernelCompMono_lift {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg : Mono g]
     {h : X ⟶ Z} (hh : h = f ≫ g) (s : KernelFork h) :
     (isKernelCompMono i g hh).lift s =
       i.lift (Fork.ofι s.ι (by rw [← cancel_mono g, category.assoc, ← hh]; simp)) :=
   rfl
 #align category_theory.limits.is_kernel_comp_mono_lift CategoryTheory.Limits.isKernelCompMono_lift
+-/
 
+#print CategoryTheory.Limits.isKernelOfComp /-
 /-- Every kernel of `f ≫ g` is also a kernel of `f`, as long as `c.ι ≫ f` vanishes. -/
 def isKernelOfComp {W : C} (g : Y ⟶ W) (h : X ⟶ W) {c : KernelFork h} (i : IsLimit c)
     (hf : c.ι ≫ f = 0) (hfg : f ≫ g = h) : IsLimit (KernelFork.ofι c.ι hf) :=
@@ -206,6 +223,7 @@ def isKernelOfComp {W : C} (g : Y ⟶ W) (h : X ⟶ W) {c : KernelFork h} (i : I
     (fun s => by simp only [kernel_fork.ι_of_ι, fork.is_limit.lift_ι]) fun s m h => by
     apply fork.is_limit.hom_ext i; simpa using h
 #align category_theory.limits.is_kernel_of_comp CategoryTheory.Limits.isKernelOfComp
+-/
 
 end
 
@@ -531,6 +549,7 @@ end HasZeroObject
 
 section Transport
 
+#print CategoryTheory.Limits.IsKernel.ofCompIso /-
 /-- If `i` is an isomorphism such that `l ≫ i.hom = f`, then any kernel of `f` is a kernel of `l`.-/
 def IsKernel.ofCompIso {Z : C} (l : X ⟶ Z) (i : Z ≅ Y) (h : l ≫ i.Hom = f) {s : KernelFork f}
     (hs : IsLimit s) :
@@ -539,6 +558,7 @@ def IsKernel.ofCompIso {Z : C} (l : X ⟶ Z) (i : Z ≅ Y) (h : l ≫ i.Hom = f)
   Fork.IsLimit.mk _ (fun s => hs.lift <| KernelFork.ofι (Fork.ι s) <| by simp [← h])
     (fun s => by simp) fun s m h => by apply fork.is_limit.hom_ext hs; simpa using h
 #align category_theory.limits.is_kernel.of_comp_iso CategoryTheory.Limits.IsKernel.ofCompIso
+-/
 
 #print CategoryTheory.Limits.kernel.ofCompIso /-
 /-- If `i` is an isomorphism such that `l ≫ i.hom = f`, then the kernel of `f` is a kernel of `l`.-/
@@ -549,6 +569,7 @@ def kernel.ofCompIso [HasKernel f] {Z : C} (l : X ⟶ Z) (i : Z ≅ Y) (h : l 
 #align category_theory.limits.kernel.of_comp_iso CategoryTheory.Limits.kernel.ofCompIso
 -/
 
+#print CategoryTheory.Limits.IsKernel.isoKernel /-
 /-- If `s` is any limit kernel cone over `f` and if  `i` is an isomorphism such that
     `i.hom ≫ s.ι  = l`, then `l` is a kernel of `f`. -/
 def IsKernel.isoKernel {Z : C} (l : Z ⟶ X) {s : KernelFork f} (hs : IsLimit s) (i : Z ≅ s.pt)
@@ -556,6 +577,7 @@ def IsKernel.isoKernel {Z : C} (l : Z ⟶ X) {s : KernelFork f} (hs : IsLimit s)
   IsLimit.ofIsoLimit hs <|
     Cones.ext i.symm fun j => by cases j; · exact (iso.eq_inv_comp i).2 h; · simp
 #align category_theory.limits.is_kernel.iso_kernel CategoryTheory.Limits.IsKernel.isoKernel
+-/
 
 #print CategoryTheory.Limits.kernel.isoKernel /-
 /-- If `i` is an isomorphism such that `i.hom ≫ kernel.ι f = l`, then `l` is a kernel of `f`. -/
@@ -591,15 +613,19 @@ abbrev CokernelCofork :=
 
 variable {f}
 
+#print CategoryTheory.Limits.CokernelCofork.condition /-
 @[simp, reassoc]
 theorem CokernelCofork.condition (s : CokernelCofork f) : f ≫ s.π = 0 := by
   rw [cofork.condition, zero_comp]
 #align category_theory.limits.cokernel_cofork.condition CategoryTheory.Limits.CokernelCofork.condition
+-/
 
+#print CategoryTheory.Limits.CokernelCofork.π_eq_zero /-
 @[simp]
 theorem CokernelCofork.π_eq_zero (s : CokernelCofork f) : s.ι.app zero = 0 := by
   simp [cofork.app_zero_eq_comp_π_right]
 #align category_theory.limits.cokernel_cofork.π_eq_zero CategoryTheory.Limits.CokernelCofork.π_eq_zero
+-/
 
 #print CategoryTheory.Limits.CokernelCofork.ofπ /-
 /-- A morphism `π` satisfying `f ≫ π = 0` determines a cokernel cofork on `f`. -/
@@ -608,11 +634,13 @@ abbrev CokernelCofork.ofπ {Z : C} (π : Y ⟶ Z) (w : f ≫ π = 0) : CokernelC
 #align category_theory.limits.cokernel_cofork.of_π CategoryTheory.Limits.CokernelCofork.ofπ
 -/
 
+#print CategoryTheory.Limits.CokernelCofork.π_ofπ /-
 @[simp]
 theorem CokernelCofork.π_ofπ {X Y P : C} (f : X ⟶ Y) (π : Y ⟶ P) (w : f ≫ π = 0) :
     Cofork.π (CokernelCofork.ofπ π w) = π :=
   rfl
 #align category_theory.limits.cokernel_cofork.π_of_π CategoryTheory.Limits.CokernelCofork.π_ofπ
+-/
 
 #print CategoryTheory.Limits.isoOfπ /-
 /-- Every cokernel cofork `s` is isomorphic (actually, equal) to `cofork.of_π (cofork.π s) _`. -/
@@ -629,13 +657,16 @@ def ofπCongr {P : C} {π π' : Y ⟶ P} {w : f ≫ π = 0} (h : π = π') :
 #align category_theory.limits.of_π_congr CategoryTheory.Limits.ofπCongr
 -/
 
+#print CategoryTheory.Limits.CokernelCofork.IsColimit.desc' /-
 /-- If `s` is a colimit cokernel cofork, then every `k : Y ⟶ W` satisfying `f ≫ k = 0` induces
     `l : s.X ⟶ W` such that `cofork.π s ≫ l = k`. -/
 def CokernelCofork.IsColimit.desc' {s : CokernelCofork f} (hs : IsColimit s) {W : C} (k : Y ⟶ W)
     (h : f ≫ k = 0) : { l : s.pt ⟶ W // Cofork.π s ≫ l = k } :=
   ⟨hs.desc <| CokernelCofork.ofπ _ h, hs.fac _ _⟩
 #align category_theory.limits.cokernel_cofork.is_colimit.desc' CategoryTheory.Limits.CokernelCofork.IsColimit.desc'
+-/
 
+#print CategoryTheory.Limits.isColimitAux /-
 /-- This is a slightly more convenient method to verify that a cokernel cofork is a colimit cocone.
 It only asks for a proof of facts that carry any mathematical content -/
 def isColimitAux (t : CokernelCofork f) (desc : ∀ s : CokernelCofork f, t.pt ⟶ s.pt)
@@ -646,6 +677,7 @@ def isColimitAux (t : CokernelCofork f) (desc : ∀ s : CokernelCofork f, t.pt 
     fac := fun s j => by cases j; · simp; · exact fac s
     uniq := fun s m w => uniq s m (w Limits.WalkingParallelPair.one) }
 #align category_theory.limits.is_colimit_aux CategoryTheory.Limits.isColimitAux
+-/
 
 #print CategoryTheory.Limits.CokernelCofork.IsColimit.ofπ /-
 /-- This is a more convenient formulation to show that a `cokernel_cofork` constructed using
@@ -662,6 +694,7 @@ def CokernelCofork.IsColimit.ofπ {Z : C} (g : Y ⟶ Z) (eq : f ≫ g = 0)
 #align category_theory.limits.cokernel_cofork.is_colimit.of_π CategoryTheory.Limits.CokernelCofork.IsColimit.ofπ
 -/
 
+#print CategoryTheory.Limits.isCokernelEpiComp /-
 /-- Every cokernel of `f` induces a cokernel of `g ≫ f` if `g` is epi. -/
 def isCokernelEpiComp {c : CokernelCofork f} (i : IsColimit c) {W} (g : W ⟶ X) [hg : Epi g]
     {h : W ⟶ Y} (hh : h = g ≫ f) :
@@ -674,7 +707,9 @@ def isCokernelEpiComp {c : CokernelCofork f} (i : IsColimit c) {W} (g : W ⟶ X)
       apply cofork.is_colimit.hom_ext i <;> rw [cofork.π_of_π] at hm  <;> rw [hm] <;>
         exact l.2.symm⟩
 #align category_theory.limits.is_cokernel_epi_comp CategoryTheory.Limits.isCokernelEpiComp
+-/
 
+#print CategoryTheory.Limits.isCokernelEpiComp_desc /-
 @[simp]
 theorem isCokernelEpiComp_desc {c : CokernelCofork f} (i : IsColimit c) {W} (g : W ⟶ X) [hg : Epi g]
     {h : W ⟶ Y} (hh : h = g ≫ f) (s : CokernelCofork h) :
@@ -682,7 +717,9 @@ theorem isCokernelEpiComp_desc {c : CokernelCofork f} (i : IsColimit c) {W} (g :
       i.desc (Cofork.ofπ s.π (by rw [← cancel_epi g, ← category.assoc, ← hh]; simp)) :=
   rfl
 #align category_theory.limits.is_cokernel_epi_comp_desc CategoryTheory.Limits.isCokernelEpiComp_desc
+-/
 
+#print CategoryTheory.Limits.isCokernelOfComp /-
 /-- Every cokernel of `g ≫ f` is also a cokernel of `f`, as long as `f ≫ c.π` vanishes. -/
 def isCokernelOfComp {W : C} (g : W ⟶ X) (h : W ⟶ Y) {c : CokernelCofork h} (i : IsColimit c)
     (hf : f ≫ c.π = 0) (hfg : g ≫ f = h) : IsColimit (CokernelCofork.ofπ c.π hf) :=
@@ -690,6 +727,7 @@ def isCokernelOfComp {W : C} (g : W ⟶ X) (h : W ⟶ Y) {c : CokernelCofork h}
     (fun s => by simp only [cokernel_cofork.π_of_π, cofork.is_colimit.π_desc]) fun s m h => by
     apply cofork.is_colimit.hom_ext i; simpa using h
 #align category_theory.limits.is_cokernel_of_comp CategoryTheory.Limits.isCokernelOfComp
+-/
 
 end
 
@@ -1113,6 +1151,7 @@ end HasZeroObject
 
 section Transport
 
+#print CategoryTheory.Limits.IsCokernel.ofIsoComp /-
 /-- If `i` is an isomorphism such that `i.hom ≫ l = f`, then any cokernel of `f` is a cokernel of
     `l`. -/
 def IsCokernel.ofIsoComp {Z : C} (l : Z ⟶ Y) (i : X ≅ Z) (h : i.Hom ≫ l = f) {s : CokernelCofork f}
@@ -1122,6 +1161,7 @@ def IsCokernel.ofIsoComp {Z : C} (l : Z ⟶ Y) (i : X ≅ Z) (h : i.Hom ≫ l =
   Cofork.IsColimit.mk _ (fun s => hs.desc <| CokernelCofork.ofπ (Cofork.π s) <| by simp [← h])
     (fun s => by simp) fun s m h => by apply cofork.is_colimit.hom_ext hs; simpa using h
 #align category_theory.limits.is_cokernel.of_iso_comp CategoryTheory.Limits.IsCokernel.ofIsoComp
+-/
 
 #print CategoryTheory.Limits.cokernel.ofIsoComp /-
 /-- If `i` is an isomorphism such that `i.hom ≫ l = f`, then the cokernel of `f` is a cokernel of
@@ -1134,6 +1174,7 @@ def cokernel.ofIsoComp [HasCokernel f] {Z : C} (l : Z ⟶ Y) (i : X ≅ Z) (h :
 #align category_theory.limits.cokernel.of_iso_comp CategoryTheory.Limits.cokernel.ofIsoComp
 -/
 
+#print CategoryTheory.Limits.IsCokernel.cokernelIso /-
 /-- If `s` is any colimit cokernel cocone over `f` and `i` is an isomorphism such that
     `s.π ≫ i.hom = l`, then `l` is a cokernel of `f`. -/
 def IsCokernel.cokernelIso {Z : C} (l : Y ⟶ Z) {s : CokernelCofork f} (hs : IsColimit s)
@@ -1141,6 +1182,7 @@ def IsCokernel.cokernelIso {Z : C} (l : Y ⟶ Z) {s : CokernelCofork f} (hs : Is
     IsColimit (CokernelCofork.ofπ l <| show f ≫ l = 0 by simp [← h]) :=
   IsColimit.ofIsoColimit hs <| Cocones.ext i fun j => by cases j; · simp; · exact h
 #align category_theory.limits.is_cokernel.cokernel_iso CategoryTheory.Limits.IsCokernel.cokernelIso
+-/
 
 #print CategoryTheory.Limits.cokernel.cokernelIso /-
 /-- If `i` is an isomorphism such that `cokernel.π f ≫ i.hom = l`, then `l` is a cokernel of `f`. -/
@@ -1158,6 +1200,7 @@ variable {D : Type u₂} [Category.{v₂} D] [HasZeroMorphisms D]
 
 variable (G : C ⥤ D) [Functor.PreservesZeroMorphisms G]
 
+#print CategoryTheory.Limits.kernelComparison /-
 /-- The comparison morphism for the kernel of `f`.
 This is an isomorphism iff `G` preserves the kernel of `f`; see
 `category_theory/limits/preserves/shapes/kernels.lean`
@@ -1166,13 +1209,17 @@ def kernelComparison [HasKernel f] [HasKernel (G.map f)] : G.obj (kernel f) ⟶
   kernel.lift _ (G.map (kernel.ι f))
     (by simp only [← G.map_comp, kernel.condition, functor.map_zero])
 #align category_theory.limits.kernel_comparison CategoryTheory.Limits.kernelComparison
+-/
 
+#print CategoryTheory.Limits.kernelComparison_comp_ι /-
 @[simp, reassoc]
 theorem kernelComparison_comp_ι [HasKernel f] [HasKernel (G.map f)] :
     kernelComparison f G ≫ kernel.ι (G.map f) = G.map (kernel.ι f) :=
   kernel.lift_ι _ _ _
 #align category_theory.limits.kernel_comparison_comp_ι CategoryTheory.Limits.kernelComparison_comp_ι
+-/
 
+#print CategoryTheory.Limits.map_lift_kernelComparison /-
 @[simp, reassoc]
 theorem map_lift_kernelComparison [HasKernel f] [HasKernel (G.map f)] {Z : C} {h : Z ⟶ X}
     (w : h ≫ f = 0) :
@@ -1180,7 +1227,9 @@ theorem map_lift_kernelComparison [HasKernel f] [HasKernel (G.map f)] {Z : C} {h
       kernel.lift _ (G.map h) (by simp only [← G.map_comp, w, functor.map_zero]) :=
   by ext; simp [← G.map_comp]
 #align category_theory.limits.map_lift_kernel_comparison CategoryTheory.Limits.map_lift_kernelComparison
+-/
 
+#print CategoryTheory.Limits.kernelComparison_comp_kernel_map /-
 @[reassoc]
 theorem kernelComparison_comp_kernel_map {X' Y' : C} [HasKernel f] [HasKernel (G.map f)]
     (g : X' ⟶ Y') [HasKernel g] [HasKernel (G.map g)] (p : X ⟶ X') (q : Y ⟶ Y')
@@ -1192,20 +1241,26 @@ theorem kernelComparison_comp_kernel_map {X' Y' : C} [HasKernel f] [HasKernel (G
     (by rw [← G.map_comp, kernel.condition, G.map_zero]) _ _ _
     (by simp only [← G.map_comp] <;> exact G.congr_map (kernel.lift_ι _ _ _).symm) _
 #align category_theory.limits.kernel_comparison_comp_kernel_map CategoryTheory.Limits.kernelComparison_comp_kernel_map
+-/
 
+#print CategoryTheory.Limits.cokernelComparison /-
 /-- The comparison morphism for the cokernel of `f`. -/
 def cokernelComparison [HasCokernel f] [HasCokernel (G.map f)] :
     cokernel (G.map f) ⟶ G.obj (cokernel f) :=
   cokernel.desc _ (G.map (coequalizer.π _ _))
     (by simp only [← G.map_comp, cokernel.condition, functor.map_zero])
 #align category_theory.limits.cokernel_comparison CategoryTheory.Limits.cokernelComparison
+-/
 
+#print CategoryTheory.Limits.π_comp_cokernelComparison /-
 @[simp, reassoc]
 theorem π_comp_cokernelComparison [HasCokernel f] [HasCokernel (G.map f)] :
     cokernel.π (G.map f) ≫ cokernelComparison f G = G.map (cokernel.π _) :=
   cokernel.π_desc _ _ _
 #align category_theory.limits.π_comp_cokernel_comparison CategoryTheory.Limits.π_comp_cokernelComparison
+-/
 
+#print CategoryTheory.Limits.cokernelComparison_map_desc /-
 @[simp, reassoc]
 theorem cokernelComparison_map_desc [HasCokernel f] [HasCokernel (G.map f)] {Z : C} {h : Y ⟶ Z}
     (w : f ≫ h = 0) :
@@ -1213,7 +1268,9 @@ theorem cokernelComparison_map_desc [HasCokernel f] [HasCokernel (G.map f)] {Z :
       cokernel.desc _ (G.map h) (by simp only [← G.map_comp, w, functor.map_zero]) :=
   by ext; simp [← G.map_comp]
 #align category_theory.limits.cokernel_comparison_map_desc CategoryTheory.Limits.cokernelComparison_map_desc
+-/
 
+#print CategoryTheory.Limits.cokernel_map_comp_cokernelComparison /-
 @[reassoc]
 theorem cokernel_map_comp_cokernelComparison {X' Y' : C} [HasCokernel f] [HasCokernel (G.map f)]
     (g : X' ⟶ Y') [HasCokernel g] [HasCokernel (G.map g)] (p : X ⟶ X') (q : Y ⟶ Y')
@@ -1225,6 +1282,7 @@ theorem cokernel_map_comp_cokernelComparison {X' Y' : C} [HasCokernel f] [HasCok
     (by rw [← G.map_comp, cokernel.condition, G.map_zero]) _ _ _ _
     (by simp only [← G.map_comp] <;> exact G.congr_map (cokernel.π_desc _ _ _))
 #align category_theory.limits.cokernel_map_comp_cokernel_comparison CategoryTheory.Limits.cokernel_map_comp_cokernelComparison
+-/
 
 end Comparison

69c6a5a1

bump to nightly-2023-06-04-18

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

3fb4268b

Diff

@@ -496,7 +496,7 @@ def kernel.isLimitConeZeroCone [Mono f] : IsLimit (kernel.zeroKernelFork f) :=
   Fork.IsLimit.mk _ (fun s => 0)
     (fun s => by
       erw [zero_comp]
-      convert(zero_of_comp_mono f _).symm
+      convert (zero_of_comp_mono f _).symm
       exact kernel_fork.condition _)
     fun _ _ _ => zero_of_to_zero _
 #align category_theory.limits.kernel.is_limit_cone_zero_cone CategoryTheory.Limits.kernel.isLimitConeZeroCone
@@ -990,7 +990,7 @@ def cokernel.isColimitCoconeZeroCocone [Epi f] : IsColimit (cokernel.zeroCokerne
   Cofork.IsColimit.mk _ (fun s => 0)
     (fun s => by
       erw [zero_comp]
-      convert(zero_of_epi_comp f _).symm
+      convert (zero_of_epi_comp f _).symm
       exact cokernel_cofork.condition _)
     fun _ _ _ => zero_of_from_zero _
 #align category_theory.limits.cokernel.is_colimit_cocone_zero_cocone CategoryTheory.Limits.cokernel.isColimitCoconeZeroCocone

69c6a5a1

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -189,7 +189,7 @@ def isKernelCompMono {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg :
     let s' : KernelFork f := Fork.ofι s.ι (by rw [← cancel_mono g] <;> simp [← hh, s.condition])
     let l := KernelFork.IsLimit.lift' i s'.ι s'.condition
     ⟨l.1, l.2, fun m hm => by
-      apply fork.is_limit.hom_ext i <;> rw [fork.ι_of_ι] at hm <;> rw [hm] <;> exact l.2.symm⟩
+      apply fork.is_limit.hom_ext i <;> rw [fork.ι_of_ι] at hm  <;> rw [hm] <;> exact l.2.symm⟩
 #align category_theory.limits.is_kernel_comp_mono CategoryTheory.Limits.isKernelCompMono
 
 theorem isKernelCompMono_lift {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg : Mono g]
@@ -273,7 +273,7 @@ theorem kernel.lift_zero {W : C} {h} : kernel.lift f (0 : W ⟶ X) h = 0 := by e
 instance kernel.lift_mono {W : C} (k : W ⟶ X) (h : k ≫ f = 0) [Mono k] : Mono (kernel.lift f k h) :=
   ⟨fun Z g g' w => by
     replace w := w =≫ kernel.ι f
-    simp only [category.assoc, kernel.lift_ι] at w
+    simp only [category.assoc, kernel.lift_ι] at w 
     exact (cancel_mono k).1 w⟩
 #align category_theory.limits.kernel.lift_mono CategoryTheory.Limits.kernel.lift_mono
 -/
@@ -671,7 +671,8 @@ def isCokernelEpiComp {c : CokernelCofork f} (i : IsColimit c) {W} (g : W ⟶ X)
       Cofork.ofπ s.π (by apply hg.left_cancellation; rw [← category.assoc, ← hh, s.condition]; simp)
     let l := CokernelCofork.IsColimit.desc' i s'.π s'.condition
     ⟨l.1, l.2, fun m hm => by
-      apply cofork.is_colimit.hom_ext i <;> rw [cofork.π_of_π] at hm <;> rw [hm] <;> exact l.2.symm⟩
+      apply cofork.is_colimit.hom_ext i <;> rw [cofork.π_of_π] at hm  <;> rw [hm] <;>
+        exact l.2.symm⟩
 #align category_theory.limits.is_cokernel_epi_comp CategoryTheory.Limits.isCokernelEpiComp
 
 @[simp]
@@ -759,7 +760,7 @@ instance cokernel.desc_epi {W : C} (k : Y ⟶ W) (h : f ≫ k = 0) [Epi k] :
     Epi (cokernel.desc f k h) :=
   ⟨fun Z g g' w => by
     replace w := cokernel.π f ≫= w
-    simp only [cokernel.π_desc_assoc] at w
+    simp only [cokernel.π_desc_assoc] at w 
     exact (cancel_epi k).1 w⟩
 #align category_theory.limits.cokernel.desc_epi CategoryTheory.Limits.cokernel.desc_epi
 -/
@@ -1048,7 +1049,7 @@ def cokernelImageι {X Y : C} (f : X ⟶ Y) [HasImage f] [HasCokernel (image.ι
           congr
           rw [← image.fac f]
         rw [← has_zero_morphisms.comp_zero (limits.factor_thru_image f), category.assoc,
-          cancel_epi] at w
+          cancel_epi] at w 
         exact w)
   inv :=
     cokernel.desc _ (cokernel.π _)

69c6a5a1

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -480,7 +480,7 @@ section HasZeroObject
 
 variable [HasZeroObject C]
 
-open ZeroObject
+open scoped ZeroObject
 
 #print CategoryTheory.Limits.kernel.zeroKernelFork /-
 /-- The morphism from the zero object determines a cone on a kernel diagram -/
@@ -972,7 +972,7 @@ section HasZeroObject
 
 variable [HasZeroObject C]
 
-open ZeroObject
+open scoped ZeroObject
 
 #print CategoryTheory.Limits.cokernel.zeroCokernelCofork /-
 /-- The morphism to the zero object determines a cocone on a cokernel diagram -/
@@ -1080,7 +1080,7 @@ section HasZeroObject
 
 variable [HasZeroObject C]
 
-open ZeroObject
+open scoped ZeroObject
 
 #print CategoryTheory.Limits.kernel.of_cokernel_of_epi /-
 /-- The kernel of the cokernel of an epimorphism is an isomorphism -/

69c6a5a1

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -95,17 +95,11 @@ abbrev KernelFork :=
 
 variable {f}
 
-/- warning: category_theory.limits.kernel_fork.condition -> CategoryTheory.Limits.KernelFork.condition is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_fork.condition CategoryTheory.Limits.KernelFork.conditionₓ'. -/
 @[simp, reassoc]
 theorem KernelFork.condition (s : KernelFork f) : Fork.ι s ≫ f = 0 := by
   erw [fork.condition, has_zero_morphisms.comp_zero]
 #align category_theory.limits.kernel_fork.condition CategoryTheory.Limits.KernelFork.condition
 
-/- warning: category_theory.limits.kernel_fork.app_one -> CategoryTheory.Limits.KernelFork.app_one is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_fork.app_one CategoryTheory.Limits.KernelFork.app_oneₓ'. -/
 @[simp]
 theorem KernelFork.app_one (s : KernelFork f) : s.π.app one = 0 := by
   simp [fork.app_one_eq_ι_comp_right]
@@ -118,9 +112,6 @@ abbrev KernelFork.ofι {Z : C} (ι : Z ⟶ X) (w : ι ≫ f = 0) : KernelFork f
 #align category_theory.limits.kernel_fork.of_ι CategoryTheory.Limits.KernelFork.ofι
 -/
 
-/- warning: category_theory.limits.kernel_fork.ι_of_ι -> CategoryTheory.Limits.KernelFork.ι_ofι is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_fork.ι_of_ι CategoryTheory.Limits.KernelFork.ι_ofιₓ'. -/
 @[simp]
 theorem KernelFork.ι_ofι {X Y P : C} (f : X ⟶ Y) (ι : P ⟶ X) (w : ι ≫ f = 0) :
     Fork.ι (KernelFork.ofι ι w) = ι :=
@@ -146,12 +137,6 @@ def ofιCongr {P : C} {ι ι' : P ⟶ X} {w : ι ≫ f = 0} (h : ι = ι') :
 #align category_theory.limits.of_ι_congr CategoryTheory.Limits.ofιCongr
 -/
 
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(CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 D _inst_3 F) Y)))))
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.comp_nat_iso CategoryTheory.Limits.compNatIsoₓ'. -/
 /-- If `F` is an equivalence, then applying `F` to a diagram indexing a (co)kernel of `f` yields
     the diagram indexing the (co)kernel of `F.map f`. -/
 def compNatIso {D : Type u'} [Category.{v} D] [HasZeroMorphisms D] (F : C ⥤ D) [IsEquivalence F] :
@@ -165,9 +150,6 @@ def compNatIso {D : Type u'} [Category.{v} D] [HasZeroMorphisms D] (F : C ⥤ D)
 
 end
 
-/- warning: category_theory.limits.kernel_fork.is_limit.lift' -> CategoryTheory.Limits.KernelFork.IsLimit.lift' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_fork.is_limit.lift' CategoryTheory.Limits.KernelFork.IsLimit.lift'ₓ'. -/
 /-- If `s` is a limit kernel fork and `k : W ⟶ X` satisfies ``k ≫ f = 0`, then there is some
     `l : W ⟶ s.X` such that `l ≫ fork.ι s = k`. -/
 def KernelFork.IsLimit.lift' {s : KernelFork f} (hs : IsLimit s) {W : C} (k : W ⟶ X)
@@ -175,9 +157,6 @@ def KernelFork.IsLimit.lift' {s : KernelFork f} (hs : IsLimit s) {W : C} (k : W
   ⟨hs.lift <| KernelFork.ofι _ h, hs.fac _ _⟩
 #align category_theory.limits.kernel_fork.is_limit.lift' CategoryTheory.Limits.KernelFork.IsLimit.lift'
 
-/- warning: category_theory.limits.is_limit_aux -> CategoryTheory.Limits.isLimitAux is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_limit_aux CategoryTheory.Limits.isLimitAuxₓ'. -/
 /-- This is a slightly more convenient method to verify that a kernel fork is a limit cone. It
     only asks for a proof of facts that carry any mathematical content -/
 def isLimitAux (t : KernelFork f) (lift : ∀ s : KernelFork f, s.pt ⟶ t.pt)
@@ -203,9 +182,6 @@ def KernelFork.IsLimit.ofι {W : C} (g : W ⟶ X) (eq : g ≫ f = 0)
 #align category_theory.limits.kernel_fork.is_limit.of_ι CategoryTheory.Limits.KernelFork.IsLimit.ofι
 -/
 
-/- warning: category_theory.limits.is_kernel_comp_mono -> CategoryTheory.Limits.isKernelCompMono is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_kernel_comp_mono CategoryTheory.Limits.isKernelCompMonoₓ'. -/
 /-- Every kernel of `f` induces a kernel of `f ≫ g` if `g` is mono. -/
 def isKernelCompMono {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg : Mono g] {h : X ⟶ Z}
     (hh : h = f ≫ g) : IsLimit (KernelFork.ofι c.ι (by simp [hh]) : KernelFork h) :=
@@ -216,9 +192,6 @@ def isKernelCompMono {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg :
       apply fork.is_limit.hom_ext i <;> rw [fork.ι_of_ι] at hm <;> rw [hm] <;> exact l.2.symm⟩
 #align category_theory.limits.is_kernel_comp_mono CategoryTheory.Limits.isKernelCompMono
 
-/- warning: category_theory.limits.is_kernel_comp_mono_lift -> CategoryTheory.Limits.isKernelCompMono_lift is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_kernel_comp_mono_lift CategoryTheory.Limits.isKernelCompMono_liftₓ'. -/
 theorem isKernelCompMono_lift {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg : Mono g]
     {h : X ⟶ Z} (hh : h = f ≫ g) (s : KernelFork h) :
     (isKernelCompMono i g hh).lift s =
@@ -226,9 +199,6 @@ theorem isKernelCompMono_lift {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶
   rfl
 #align category_theory.limits.is_kernel_comp_mono_lift CategoryTheory.Limits.isKernelCompMono_lift
 
-/- warning: category_theory.limits.is_kernel_of_comp -> CategoryTheory.Limits.isKernelOfComp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_kernel_of_comp CategoryTheory.Limits.isKernelOfCompₓ'. -/
 /-- Every kernel of `f ≫ g` is also a kernel of `f`, as long as `c.ι ≫ f` vanishes. -/
 def isKernelOfComp {W : C} (g : Y ⟶ W) (h : X ⟶ W) {c : KernelFork h} (i : IsLimit c)
     (hf : c.ι ≫ f = 0) (hfg : f ≫ g = h) : IsLimit (KernelFork.ofι c.ι hf) :=
@@ -561,9 +531,6 @@ end HasZeroObject
 
 section Transport
 
-/- warning: category_theory.limits.is_kernel.of_comp_iso -> CategoryTheory.Limits.IsKernel.ofCompIso is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_kernel.of_comp_iso CategoryTheory.Limits.IsKernel.ofCompIsoₓ'. -/
 /-- If `i` is an isomorphism such that `l ≫ i.hom = f`, then any kernel of `f` is a kernel of `l`.-/
 def IsKernel.ofCompIso {Z : C} (l : X ⟶ Z) (i : Z ≅ Y) (h : l ≫ i.Hom = f) {s : KernelFork f}
     (hs : IsLimit s) :
@@ -582,9 +549,6 @@ def kernel.ofCompIso [HasKernel f] {Z : C} (l : X ⟶ Z) (i : Z ≅ Y) (h : l 
 #align category_theory.limits.kernel.of_comp_iso CategoryTheory.Limits.kernel.ofCompIso
 -/
 
-/- warning: category_theory.limits.is_kernel.iso_kernel -> CategoryTheory.Limits.IsKernel.isoKernel is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_kernel.iso_kernel CategoryTheory.Limits.IsKernel.isoKernelₓ'. -/
 /-- If `s` is any limit kernel cone over `f` and if  `i` is an isomorphism such that
     `i.hom ≫ s.ι  = l`, then `l` is a kernel of `f`. -/
 def IsKernel.isoKernel {Z : C} (l : Z ⟶ X) {s : KernelFork f} (hs : IsLimit s) (i : Z ≅ s.pt)
@@ -627,17 +591,11 @@ abbrev CokernelCofork :=
 
 variable {f}
 
-/- warning: category_theory.limits.cokernel_cofork.condition -> CategoryTheory.Limits.CokernelCofork.condition is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_cofork.condition CategoryTheory.Limits.CokernelCofork.conditionₓ'. -/
 @[simp, reassoc]
 theorem CokernelCofork.condition (s : CokernelCofork f) : f ≫ s.π = 0 := by
   rw [cofork.condition, zero_comp]
 #align category_theory.limits.cokernel_cofork.condition CategoryTheory.Limits.CokernelCofork.condition
 
-/- warning: category_theory.limits.cokernel_cofork.π_eq_zero -> CategoryTheory.Limits.CokernelCofork.π_eq_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_cofork.π_eq_zero CategoryTheory.Limits.CokernelCofork.π_eq_zeroₓ'. -/
 @[simp]
 theorem CokernelCofork.π_eq_zero (s : CokernelCofork f) : s.ι.app zero = 0 := by
   simp [cofork.app_zero_eq_comp_π_right]
@@ -650,9 +608,6 @@ abbrev CokernelCofork.ofπ {Z : C} (π : Y ⟶ Z) (w : f ≫ π = 0) : CokernelC
 #align category_theory.limits.cokernel_cofork.of_π CategoryTheory.Limits.CokernelCofork.ofπ
 -/
 
-/- warning: category_theory.limits.cokernel_cofork.π_of_π -> CategoryTheory.Limits.CokernelCofork.π_ofπ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_cofork.π_of_π CategoryTheory.Limits.CokernelCofork.π_ofπₓ'. -/
 @[simp]
 theorem CokernelCofork.π_ofπ {X Y P : C} (f : X ⟶ Y) (π : Y ⟶ P) (w : f ≫ π = 0) :
     Cofork.π (CokernelCofork.ofπ π w) = π :=
@@ -674,9 +629,6 @@ def ofπCongr {P : C} {π π' : Y ⟶ P} {w : f ≫ π = 0} (h : π = π') :
 #align category_theory.limits.of_π_congr CategoryTheory.Limits.ofπCongr
 -/
 
-/- warning: category_theory.limits.cokernel_cofork.is_colimit.desc' -> CategoryTheory.Limits.CokernelCofork.IsColimit.desc' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_cofork.is_colimit.desc' CategoryTheory.Limits.CokernelCofork.IsColimit.desc'ₓ'. -/
 /-- If `s` is a colimit cokernel cofork, then every `k : Y ⟶ W` satisfying `f ≫ k = 0` induces
     `l : s.X ⟶ W` such that `cofork.π s ≫ l = k`. -/
 def CokernelCofork.IsColimit.desc' {s : CokernelCofork f} (hs : IsColimit s) {W : C} (k : Y ⟶ W)
@@ -684,9 +636,6 @@ def CokernelCofork.IsColimit.desc' {s : CokernelCofork f} (hs : IsColimit s) {W
   ⟨hs.desc <| CokernelCofork.ofπ _ h, hs.fac _ _⟩
 #align category_theory.limits.cokernel_cofork.is_colimit.desc' CategoryTheory.Limits.CokernelCofork.IsColimit.desc'
 
-/- warning: category_theory.limits.is_colimit_aux -> CategoryTheory.Limits.isColimitAux is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_colimit_aux CategoryTheory.Limits.isColimitAuxₓ'. -/
 /-- This is a slightly more convenient method to verify that a cokernel cofork is a colimit cocone.
 It only asks for a proof of facts that carry any mathematical content -/
 def isColimitAux (t : CokernelCofork f) (desc : ∀ s : CokernelCofork f, t.pt ⟶ s.pt)
@@ -713,9 +662,6 @@ def CokernelCofork.IsColimit.ofπ {Z : C} (g : Y ⟶ Z) (eq : f ≫ g = 0)
 #align category_theory.limits.cokernel_cofork.is_colimit.of_π CategoryTheory.Limits.CokernelCofork.IsColimit.ofπ
 -/
 
-/- warning: category_theory.limits.is_cokernel_epi_comp -> CategoryTheory.Limits.isCokernelEpiComp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_cokernel_epi_comp CategoryTheory.Limits.isCokernelEpiCompₓ'. -/
 /-- Every cokernel of `f` induces a cokernel of `g ≫ f` if `g` is epi. -/
 def isCokernelEpiComp {c : CokernelCofork f} (i : IsColimit c) {W} (g : W ⟶ X) [hg : Epi g]
     {h : W ⟶ Y} (hh : h = g ≫ f) :
@@ -728,9 +674,6 @@ def isCokernelEpiComp {c : CokernelCofork f} (i : IsColimit c) {W} (g : W ⟶ X)
       apply cofork.is_colimit.hom_ext i <;> rw [cofork.π_of_π] at hm <;> rw [hm] <;> exact l.2.symm⟩
 #align category_theory.limits.is_cokernel_epi_comp CategoryTheory.Limits.isCokernelEpiComp
 
-/- warning: category_theory.limits.is_cokernel_epi_comp_desc -> CategoryTheory.Limits.isCokernelEpiComp_desc is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_cokernel_epi_comp_desc CategoryTheory.Limits.isCokernelEpiComp_descₓ'. -/
 @[simp]
 theorem isCokernelEpiComp_desc {c : CokernelCofork f} (i : IsColimit c) {W} (g : W ⟶ X) [hg : Epi g]
     {h : W ⟶ Y} (hh : h = g ≫ f) (s : CokernelCofork h) :
@@ -739,9 +682,6 @@ theorem isCokernelEpiComp_desc {c : CokernelCofork f} (i : IsColimit c) {W} (g :
   rfl
 #align category_theory.limits.is_cokernel_epi_comp_desc CategoryTheory.Limits.isCokernelEpiComp_desc
 
-/- warning: category_theory.limits.is_cokernel_of_comp -> CategoryTheory.Limits.isCokernelOfComp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_cokernel_of_comp CategoryTheory.Limits.isCokernelOfCompₓ'. -/
 /-- Every cokernel of `g ≫ f` is also a cokernel of `f`, as long as `f ≫ c.π` vanishes. -/
 def isCokernelOfComp {W : C} (g : W ⟶ X) (h : W ⟶ Y) {c : CokernelCofork h} (i : IsColimit c)
     (hf : f ≫ c.π = 0) (hfg : g ≫ f = h) : IsColimit (CokernelCofork.ofπ c.π hf) :=
@@ -1172,9 +1112,6 @@ end HasZeroObject
 
 section Transport
 
-/- warning: category_theory.limits.is_cokernel.of_iso_comp -> CategoryTheory.Limits.IsCokernel.ofIsoComp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_cokernel.of_iso_comp CategoryTheory.Limits.IsCokernel.ofIsoCompₓ'. -/
 /-- If `i` is an isomorphism such that `i.hom ≫ l = f`, then any cokernel of `f` is a cokernel of
     `l`. -/
 def IsCokernel.ofIsoComp {Z : C} (l : Z ⟶ Y) (i : X ≅ Z) (h : i.Hom ≫ l = f) {s : CokernelCofork f}
@@ -1196,9 +1133,6 @@ def cokernel.ofIsoComp [HasCokernel f] {Z : C} (l : Z ⟶ Y) (i : X ≅ Z) (h :
 #align category_theory.limits.cokernel.of_iso_comp CategoryTheory.Limits.cokernel.ofIsoComp
 -/
 
-/- warning: category_theory.limits.is_cokernel.cokernel_iso -> CategoryTheory.Limits.IsCokernel.cokernelIso is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_cokernel.cokernel_iso CategoryTheory.Limits.IsCokernel.cokernelIsoₓ'. -/
 /-- If `s` is any colimit cokernel cocone over `f` and `i` is an isomorphism such that
     `s.π ≫ i.hom = l`, then `l` is a cokernel of `f`. -/
 def IsCokernel.cokernelIso {Z : C} (l : Y ⟶ Z) {s : CokernelCofork f} (hs : IsColimit s)
@@ -1223,12 +1157,6 @@ variable {D : Type u₂} [Category.{v₂} D] [HasZeroMorphisms D]
 
 variable (G : C ⥤ D) [Functor.PreservesZeroMorphisms G]
 
-/- warning: category_theory.limits.kernel_comparison -> CategoryTheory.Limits.kernelComparison is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_comparison CategoryTheory.Limits.kernelComparisonₓ'. -/
 /-- The comparison morphism for the kernel of `f`.
 This is an isomorphism iff `G` preserves the kernel of `f`; see
 `category_theory/limits/preserves/shapes/kernels.lean`
@@ -1238,18 +1166,12 @@ def kernelComparison [HasKernel f] [HasKernel (G.map f)] : G.obj (kernel f) ⟶
     (by simp only [← G.map_comp, kernel.condition, functor.map_zero])
 #align category_theory.limits.kernel_comparison CategoryTheory.Limits.kernelComparison
 
-/- warning: category_theory.limits.kernel_comparison_comp_ι -> CategoryTheory.Limits.kernelComparison_comp_ι is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_comparison_comp_ι CategoryTheory.Limits.kernelComparison_comp_ιₓ'. -/
 @[simp, reassoc]
 theorem kernelComparison_comp_ι [HasKernel f] [HasKernel (G.map f)] :
     kernelComparison f G ≫ kernel.ι (G.map f) = G.map (kernel.ι f) :=
   kernel.lift_ι _ _ _
 #align category_theory.limits.kernel_comparison_comp_ι CategoryTheory.Limits.kernelComparison_comp_ι
 
-/- warning: category_theory.limits.map_lift_kernel_comparison -> CategoryTheory.Limits.map_lift_kernelComparison is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.map_lift_kernel_comparison CategoryTheory.Limits.map_lift_kernelComparisonₓ'. -/
 @[simp, reassoc]
 theorem map_lift_kernelComparison [HasKernel f] [HasKernel (G.map f)] {Z : C} {h : Z ⟶ X}
     (w : h ≫ f = 0) :
@@ -1258,9 +1180,6 @@ theorem map_lift_kernelComparison [HasKernel f] [HasKernel (G.map f)] {Z : C} {h
   by ext; simp [← G.map_comp]
 #align category_theory.limits.map_lift_kernel_comparison CategoryTheory.Limits.map_lift_kernelComparison
 
-/- warning: category_theory.limits.kernel_comparison_comp_kernel_map -> CategoryTheory.Limits.kernelComparison_comp_kernel_map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_comparison_comp_kernel_map CategoryTheory.Limits.kernelComparison_comp_kernel_mapₓ'. -/
 @[reassoc]
 theorem kernelComparison_comp_kernel_map {X' Y' : C} [HasKernel f] [HasKernel (G.map f)]
     (g : X' ⟶ Y') [HasKernel g] [HasKernel (G.map g)] (p : X ⟶ X') (q : Y ⟶ Y')
@@ -1273,12 +1192,6 @@ theorem kernelComparison_comp_kernel_map {X' Y' : C} [HasKernel f] [HasKernel (G
     (by simp only [← G.map_comp] <;> exact G.congr_map (kernel.lift_ι _ _ _).symm) _
 #align category_theory.limits.kernel_comparison_comp_kernel_map CategoryTheory.Limits.kernelComparison_comp_kernel_map
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_comparison CategoryTheory.Limits.cokernelComparisonₓ'. -/
 /-- The comparison morphism for the cokernel of `f`. -/
 def cokernelComparison [HasCokernel f] [HasCokernel (G.map f)] :
     cokernel (G.map f) ⟶ G.obj (cokernel f) :=
@@ -1286,18 +1199,12 @@ def cokernelComparison [HasCokernel f] [HasCokernel (G.map f)] :
     (by simp only [← G.map_comp, cokernel.condition, functor.map_zero])
 #align category_theory.limits.cokernel_comparison CategoryTheory.Limits.cokernelComparison
 
-/- warning: category_theory.limits.π_comp_cokernel_comparison -> CategoryTheory.Limits.π_comp_cokernelComparison is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.π_comp_cokernel_comparison CategoryTheory.Limits.π_comp_cokernelComparisonₓ'. -/
 @[simp, reassoc]
 theorem π_comp_cokernelComparison [HasCokernel f] [HasCokernel (G.map f)] :
     cokernel.π (G.map f) ≫ cokernelComparison f G = G.map (cokernel.π _) :=
   cokernel.π_desc _ _ _
 #align category_theory.limits.π_comp_cokernel_comparison CategoryTheory.Limits.π_comp_cokernelComparison
 
-/- warning: category_theory.limits.cokernel_comparison_map_desc -> CategoryTheory.Limits.cokernelComparison_map_desc is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_comparison_map_desc CategoryTheory.Limits.cokernelComparison_map_descₓ'. -/
 @[simp, reassoc]
 theorem cokernelComparison_map_desc [HasCokernel f] [HasCokernel (G.map f)] {Z : C} {h : Y ⟶ Z}
     (w : f ≫ h = 0) :
@@ -1306,9 +1213,6 @@ theorem cokernelComparison_map_desc [HasCokernel f] [HasCokernel (G.map f)] {Z :
   by ext; simp [← G.map_comp]
 #align category_theory.limits.cokernel_comparison_map_desc CategoryTheory.Limits.cokernelComparison_map_desc
 
-/- warning: category_theory.limits.cokernel_map_comp_cokernel_comparison -> CategoryTheory.Limits.cokernel_map_comp_cokernelComparison is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_map_comp_cokernel_comparison CategoryTheory.Limits.cokernel_map_comp_cokernelComparisonₓ'. -/
 @[reassoc]
 theorem cokernel_map_comp_cokernelComparison {X' Y' : C} [HasCokernel f] [HasCokernel (G.map f)]
     (g : X' ⟶ Y') [HasCokernel g] [HasCokernel (G.map g)] (p : X ⟶ X') (q : Y ⟶ Y')

69c6a5a1

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -184,10 +184,7 @@ def isLimitAux (t : KernelFork f) (lift : ∀ s : KernelFork f, s.pt ⟶ t.pt)
     (fac : ∀ s : KernelFork f, lift s ≫ t.ι = s.ι)
     (uniq : ∀ (s : KernelFork f) (m : s.pt ⟶ t.pt) (w : m ≫ t.ι = s.ι), m = lift s) : IsLimit t :=
   { lift
-    fac := fun s j => by
-      cases j
-      · exact fac s
-      · simp
+    fac := fun s j => by cases j; · exact fac s; · simp
     uniq := fun s m w => uniq s m (w Limits.WalkingParallelPair.zero) }
 #align category_theory.limits.is_limit_aux CategoryTheory.Limits.isLimitAux
 
@@ -225,11 +222,7 @@ Case conversion may be inaccurate. Consider using '#align category_theory.limits
 theorem isKernelCompMono_lift {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg : Mono g]
     {h : X ⟶ Z} (hh : h = f ≫ g) (s : KernelFork h) :
     (isKernelCompMono i g hh).lift s =
-      i.lift
-        (Fork.ofι s.ι
-          (by
-            rw [← cancel_mono g, category.assoc, ← hh]
-            simp)) :=
+      i.lift (Fork.ofι s.ι (by rw [← cancel_mono g, category.assoc, ← hh]; simp)) :=
   rfl
 #align category_theory.limits.is_kernel_comp_mono_lift CategoryTheory.Limits.isKernelCompMono_lift
 
@@ -240,10 +233,8 @@ Case conversion may be inaccurate. Consider using '#align category_theory.limits
 def isKernelOfComp {W : C} (g : Y ⟶ W) (h : X ⟶ W) {c : KernelFork h} (i : IsLimit c)
     (hf : c.ι ≫ f = 0) (hfg : f ≫ g = h) : IsLimit (KernelFork.ofι c.ι hf) :=
   Fork.IsLimit.mk _ (fun s => i.lift (KernelFork.ofι s.ι (by simp [← hfg])))
-    (fun s => by simp only [kernel_fork.ι_of_ι, fork.is_limit.lift_ι]) fun s m h =>
-    by
-    apply fork.is_limit.hom_ext i
-    simpa using h
+    (fun s => by simp only [kernel_fork.ι_of_ι, fork.is_limit.lift_ι]) fun s m h => by
+    apply fork.is_limit.hom_ext i; simpa using h
 #align category_theory.limits.is_kernel_of_comp CategoryTheory.Limits.isKernelOfComp
 
 end
@@ -304,10 +295,7 @@ theorem kernel.lift_ι {W : C} (k : W ⟶ X) (h : k ≫ f = 0) : kernel.lift f k
 
 #print CategoryTheory.Limits.kernel.lift_zero /-
 @[simp]
-theorem kernel.lift_zero {W : C} {h} : kernel.lift f (0 : W ⟶ X) h = 0 :=
-  by
-  ext
-  simp
+theorem kernel.lift_zero {W : C} {h} : kernel.lift f (0 : W ⟶ X) h = 0 := by ext; simp
 #align category_theory.limits.kernel.lift_zero CategoryTheory.Limits.kernel.lift_zero
 -/
 
@@ -355,10 +343,7 @@ then we obtain a commutative square
 theorem kernel.lift_map {X Y Z X' Y' Z' : C} (f : X ⟶ Y) (g : Y ⟶ Z) [HasKernel g] (w : f ≫ g = 0)
     (f' : X' ⟶ Y') (g' : Y' ⟶ Z') [HasKernel g'] (w' : f' ≫ g' = 0) (p : X ⟶ X') (q : Y ⟶ Y')
     (r : Z ⟶ Z') (h₁ : f ≫ q = p ≫ f') (h₂ : g ≫ r = q ≫ g') :
-    kernel.lift g f w ≫ kernel.map g g' q r h₂ = p ≫ kernel.lift g' f' w' :=
-  by
-  ext
-  simp [h₁]
+    kernel.lift g f w ≫ kernel.map g g' q r h₂ = p ≫ kernel.lift g' f' w' := by ext; simp [h₁]
 #align category_theory.limits.kernel.lift_map CategoryTheory.Limits.kernel.lift_map
 -/
 
@@ -369,11 +354,7 @@ def kernel.mapIso {X' Y' : C} (f' : X' ⟶ Y') [HasKernel f'] (p : X ≅ X') (q
     (w : f ≫ q.Hom = p.Hom ≫ f') : kernel f ≅ kernel f'
     where
   Hom := kernel.map f f' p.Hom q.Hom w
-  inv :=
-    kernel.map f' f p.inv q.inv
-      (by
-        refine' (cancel_mono q.hom).1 _
-        simp [w])
+  inv := kernel.map f' f p.inv q.inv (by refine' (cancel_mono q.hom).1 _; simp [w])
 #align category_theory.limits.kernel.map_iso CategoryTheory.Limits.kernel.mapIso
 -/
 
@@ -407,9 +388,7 @@ theorem kernelZeroIsoSource_hom : kernelZeroIsoSource.Hom = kernel.ι (0 : X ⟶
 #print CategoryTheory.Limits.kernelZeroIsoSource_inv /-
 @[simp]
 theorem kernelZeroIsoSource_inv :
-    kernelZeroIsoSource.inv = kernel.lift (0 : X ⟶ Y) (𝟙 X) (by simp) :=
-  by
-  ext
+    kernelZeroIsoSource.inv = kernel.lift (0 : X ⟶ Y) (𝟙 X) (by simp) := by ext;
   simp [kernel_zero_iso_source]
 #align category_theory.limits.kernel_zero_iso_source_inv CategoryTheory.Limits.kernelZeroIsoSource_inv
 -/
@@ -423,9 +402,7 @@ def kernelIsoOfEq {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h : f = g) : kern
 
 #print CategoryTheory.Limits.kernelIsoOfEq_refl /-
 @[simp]
-theorem kernelIsoOfEq_refl {h : f = f} : kernelIsoOfEq h = Iso.refl (kernel f) :=
-  by
-  ext
+theorem kernelIsoOfEq_refl {h : f = f} : kernelIsoOfEq h = Iso.refl (kernel f) := by ext;
   simp [kernel_iso_of_eq]
 #align category_theory.limits.kernel_iso_of_eq_refl CategoryTheory.Limits.kernelIsoOfEq_refl
 -/
@@ -433,20 +410,14 @@ theorem kernelIsoOfEq_refl {h : f = f} : kernelIsoOfEq h = Iso.refl (kernel f) :
 #print CategoryTheory.Limits.kernelIsoOfEq_hom_comp_ι /-
 @[simp, reassoc]
 theorem kernelIsoOfEq_hom_comp_ι {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h : f = g) :
-    (kernelIsoOfEq h).Hom ≫ kernel.ι _ = kernel.ι _ :=
-  by
-  induction h
-  simp
+    (kernelIsoOfEq h).Hom ≫ kernel.ι _ = kernel.ι _ := by induction h; simp
 #align category_theory.limits.kernel_iso_of_eq_hom_comp_ι CategoryTheory.Limits.kernelIsoOfEq_hom_comp_ι
 -/
 
 #print CategoryTheory.Limits.kernelIsoOfEq_inv_comp_ι /-
 @[simp, reassoc]
 theorem kernelIsoOfEq_inv_comp_ι {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h : f = g) :
-    (kernelIsoOfEq h).inv ≫ kernel.ι _ = kernel.ι _ :=
-  by
-  induction h
-  simp
+    (kernelIsoOfEq h).inv ≫ kernel.ι _ = kernel.ι _ := by induction h; simp
 #align category_theory.limits.kernel_iso_of_eq_inv_comp_ι CategoryTheory.Limits.kernelIsoOfEq_inv_comp_ι
 -/
 
@@ -454,10 +425,8 @@ theorem kernelIsoOfEq_inv_comp_ι {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h
 @[simp, reassoc]
 theorem lift_comp_kernelIsoOfEq_hom {Z} {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h : f = g)
     (e : Z ⟶ X) (he) :
-    kernel.lift _ e he ≫ (kernelIsoOfEq h).Hom = kernel.lift _ e (by simp [← h, he]) :=
-  by
-  induction h
-  simp
+    kernel.lift _ e he ≫ (kernelIsoOfEq h).Hom = kernel.lift _ e (by simp [← h, he]) := by
+  induction h; simp
 #align category_theory.limits.lift_comp_kernel_iso_of_eq_hom CategoryTheory.Limits.lift_comp_kernelIsoOfEq_hom
 -/
 
@@ -465,22 +434,16 @@ theorem lift_comp_kernelIsoOfEq_hom {Z} {f g : X ⟶ Y} [HasKernel f] [HasKernel
 @[simp, reassoc]
 theorem lift_comp_kernelIsoOfEq_inv {Z} {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h : f = g)
     (e : Z ⟶ X) (he) :
-    kernel.lift _ e he ≫ (kernelIsoOfEq h).inv = kernel.lift _ e (by simp [h, he]) :=
-  by
-  induction h
-  simp
+    kernel.lift _ e he ≫ (kernelIsoOfEq h).inv = kernel.lift _ e (by simp [h, he]) := by
+  induction h; simp
 #align category_theory.limits.lift_comp_kernel_iso_of_eq_inv CategoryTheory.Limits.lift_comp_kernelIsoOfEq_inv
 -/
 
 #print CategoryTheory.Limits.kernelIsoOfEq_trans /-
 @[simp]
 theorem kernelIsoOfEq_trans {f g h : X ⟶ Y} [HasKernel f] [HasKernel g] [HasKernel h] (w₁ : f = g)
-    (w₂ : g = h) : kernelIsoOfEq w₁ ≪≫ kernelIsoOfEq w₂ = kernelIsoOfEq (w₁.trans w₂) :=
-  by
-  induction w₁
-  induction w₂
-  ext
-  simp [kernel_iso_of_eq]
+    (w₂ : g = h) : kernelIsoOfEq w₁ ≪≫ kernelIsoOfEq w₂ = kernelIsoOfEq (w₁.trans w₂) := by
+  induction w₁; induction w₂; ext; simp [kernel_iso_of_eq]
 #align category_theory.limits.kernel_iso_of_eq_trans CategoryTheory.Limits.kernelIsoOfEq_trans
 -/
 
@@ -494,9 +457,7 @@ theorem kernel_not_epi_of_nonzero (w : f ≠ 0) : ¬Epi (kernel.ι f) := fun I =
 
 #print CategoryTheory.Limits.kernel_not_iso_of_nonzero /-
 theorem kernel_not_iso_of_nonzero (w : f ≠ 0) : IsIso (kernel.ι f) → False := fun I =>
-  kernel_not_epi_of_nonzero w <| by
-    skip
-    infer_instance
+  kernel_not_epi_of_nonzero w <| by skip; infer_instance
 #align category_theory.limits.kernel_not_iso_of_nonzero CategoryTheory.Limits.kernel_not_iso_of_nonzero
 -/
 
@@ -515,11 +476,7 @@ instance hasKernel_comp_mono {X Y Z : C} (f : X ⟶ Y) [HasKernel f] (g : Y ⟶
 def kernelCompMono {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [HasKernel f] [Mono g] :
     kernel (f ≫ g) ≅ kernel f
     where
-  Hom :=
-    kernel.lift _ (kernel.ι _)
-      (by
-        rw [← cancel_mono g]
-        simp)
+  Hom := kernel.lift _ (kernel.ι _) (by rw [← cancel_mono g]; simp)
   inv := kernel.lift _ (kernel.ι _) (by simp)
 #align category_theory.limits.kernel_comp_mono CategoryTheory.Limits.kernelCompMono
 -/
@@ -530,11 +487,8 @@ instance hasKernel_iso_comp {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [IsIso f] [H
     where exists_limit :=
     ⟨{  Cone := KernelFork.ofι (kernel.ι g ≫ inv f) (by simp)
         IsLimit :=
-          isLimitAux _ (fun s => kernel.lift _ (s.ι ≫ f) (by tidy)) (by tidy) fun s m w =>
-            by
-            simp_rw [← w]
-            ext
-            simp }⟩
+          isLimitAux _ (fun s => kernel.lift _ (s.ι ≫ f) (by tidy)) (by tidy) fun s m w => by
+            simp_rw [← w]; ext; simp }⟩
 #align category_theory.limits.has_kernel_iso_comp CategoryTheory.Limits.hasKernel_iso_comp
 -/
 
@@ -616,10 +570,7 @@ def IsKernel.ofCompIso {Z : C} (l : X ⟶ Z) (i : Z ≅ Y) (h : l ≫ i.Hom = f)
     IsLimit
       (KernelFork.ofι (Fork.ι s) <| show Fork.ι s ≫ l = 0 by simp [← i.comp_inv_eq.2 h.symm]) :=
   Fork.IsLimit.mk _ (fun s => hs.lift <| KernelFork.ofι (Fork.ι s) <| by simp [← h])
-    (fun s => by simp) fun s m h =>
-    by
-    apply fork.is_limit.hom_ext hs
-    simpa using h
+    (fun s => by simp) fun s m h => by apply fork.is_limit.hom_ext hs; simpa using h
 #align category_theory.limits.is_kernel.of_comp_iso CategoryTheory.Limits.IsKernel.ofCompIso
 
 #print CategoryTheory.Limits.kernel.ofCompIso /-
@@ -639,10 +590,7 @@ Case conversion may be inaccurate. Consider using '#align category_theory.limits
 def IsKernel.isoKernel {Z : C} (l : Z ⟶ X) {s : KernelFork f} (hs : IsLimit s) (i : Z ≅ s.pt)
     (h : i.Hom ≫ Fork.ι s = l) : IsLimit (KernelFork.ofι l <| show l ≫ f = 0 by simp [← h]) :=
   IsLimit.ofIsoLimit hs <|
-    Cones.ext i.symm fun j => by
-      cases j
-      · exact (iso.eq_inv_comp i).2 h
-      · simp
+    Cones.ext i.symm fun j => by cases j; · exact (iso.eq_inv_comp i).2 h; · simp
 #align category_theory.limits.is_kernel.iso_kernel CategoryTheory.Limits.IsKernel.isoKernel
 
 #print CategoryTheory.Limits.kernel.isoKernel /-
@@ -746,10 +694,7 @@ def isColimitAux (t : CokernelCofork f) (desc : ∀ s : CokernelCofork f, t.pt 
     (uniq : ∀ (s : CokernelCofork f) (m : t.pt ⟶ s.pt) (w : t.π ≫ m = s.π), m = desc s) :
     IsColimit t :=
   { desc
-    fac := fun s j => by
-      cases j
-      · simp
-      · exact fac s
+    fac := fun s j => by cases j; · simp; · exact fac s
     uniq := fun s m w => uniq s m (w Limits.WalkingParallelPair.one) }
 #align category_theory.limits.is_colimit_aux CategoryTheory.Limits.isColimitAux
 
@@ -777,11 +722,7 @@ def isCokernelEpiComp {c : CokernelCofork f} (i : IsColimit c) {W} (g : W ⟶ X)
     IsColimit (CokernelCofork.ofπ c.π (by rw [hh] <;> simp) : CokernelCofork h) :=
   Cofork.IsColimit.mk' _ fun s =>
     let s' : CokernelCofork f :=
-      Cofork.ofπ s.π
-        (by
-          apply hg.left_cancellation
-          rw [← category.assoc, ← hh, s.condition]
-          simp)
+      Cofork.ofπ s.π (by apply hg.left_cancellation; rw [← category.assoc, ← hh, s.condition]; simp)
     let l := CokernelCofork.IsColimit.desc' i s'.π s'.condition
     ⟨l.1, l.2, fun m hm => by
       apply cofork.is_colimit.hom_ext i <;> rw [cofork.π_of_π] at hm <;> rw [hm] <;> exact l.2.symm⟩
@@ -794,11 +735,7 @@ Case conversion may be inaccurate. Consider using '#align category_theory.limits
 theorem isCokernelEpiComp_desc {c : CokernelCofork f} (i : IsColimit c) {W} (g : W ⟶ X) [hg : Epi g]
     {h : W ⟶ Y} (hh : h = g ≫ f) (s : CokernelCofork h) :
     (isCokernelEpiComp i g hh).desc s =
-      i.desc
-        (Cofork.ofπ s.π
-          (by
-            rw [← cancel_epi g, ← category.assoc, ← hh]
-            simp)) :=
+      i.desc (Cofork.ofπ s.π (by rw [← cancel_epi g, ← category.assoc, ← hh]; simp)) :=
   rfl
 #align category_theory.limits.is_cokernel_epi_comp_desc CategoryTheory.Limits.isCokernelEpiComp_desc
 
@@ -809,10 +746,8 @@ Case conversion may be inaccurate. Consider using '#align category_theory.limits
 def isCokernelOfComp {W : C} (g : W ⟶ X) (h : W ⟶ Y) {c : CokernelCofork h} (i : IsColimit c)
     (hf : f ≫ c.π = 0) (hfg : g ≫ f = h) : IsColimit (CokernelCofork.ofπ c.π hf) :=
   Cofork.IsColimit.mk _ (fun s => i.desc (CokernelCofork.ofπ s.π (by simp [← hfg])))
-    (fun s => by simp only [cokernel_cofork.π_of_π, cofork.is_colimit.π_desc]) fun s m h =>
-    by
-    apply cofork.is_colimit.hom_ext i
-    simpa using h
+    (fun s => by simp only [cokernel_cofork.π_of_π, cofork.is_colimit.π_desc]) fun s m h => by
+    apply cofork.is_colimit.hom_ext i; simpa using h
 #align category_theory.limits.is_cokernel_of_comp CategoryTheory.Limits.isCokernelOfComp
 
 end
@@ -875,10 +810,7 @@ theorem cokernel.π_desc {W : C} (k : Y ⟶ W) (h : f ≫ k = 0) :
 
 #print CategoryTheory.Limits.cokernel.desc_zero /-
 @[simp]
-theorem cokernel.desc_zero {W : C} {h} : cokernel.desc f (0 : Y ⟶ W) h = 0 :=
-  by
-  ext
-  simp
+theorem cokernel.desc_zero {W : C} {h} : cokernel.desc f (0 : Y ⟶ W) h = 0 := by ext; simp
 #align category_theory.limits.cokernel.desc_zero CategoryTheory.Limits.cokernel.desc_zero
 -/
 
@@ -928,10 +860,7 @@ then we obtain a commutative square
 theorem cokernel.map_desc {X Y Z X' Y' Z' : C} (f : X ⟶ Y) [HasCokernel f] (g : Y ⟶ Z)
     (w : f ≫ g = 0) (f' : X' ⟶ Y') [HasCokernel f'] (g' : Y' ⟶ Z') (w' : f' ≫ g' = 0) (p : X ⟶ X')
     (q : Y ⟶ Y') (r : Z ⟶ Z') (h₁ : f ≫ q = p ≫ f') (h₂ : g ≫ r = q ≫ g') :
-    cokernel.map f f' p q h₁ ≫ cokernel.desc f' g' w' = cokernel.desc f g w ≫ r :=
-  by
-  ext
-  simp [h₂]
+    cokernel.map f f' p q h₁ ≫ cokernel.desc f' g' w' = cokernel.desc f g w ≫ r := by ext; simp [h₂]
 #align category_theory.limits.cokernel.map_desc CategoryTheory.Limits.cokernel.map_desc
 -/
 
@@ -942,11 +871,7 @@ def cokernel.mapIso {X' Y' : C} (f' : X' ⟶ Y') [HasCokernel f'] (p : X ≅ X')
     (w : f ≫ q.Hom = p.Hom ≫ f') : cokernel f ≅ cokernel f'
     where
   Hom := cokernel.map f f' p.Hom q.Hom w
-  inv :=
-    cokernel.map f' f p.inv q.inv
-      (by
-        refine' (cancel_mono q.hom).1 _
-        simp [w])
+  inv := cokernel.map f' f p.inv q.inv (by refine' (cancel_mono q.hom).1 _; simp [w])
 #align category_theory.limits.cokernel.map_iso CategoryTheory.Limits.cokernel.mapIso
 -/
 
@@ -973,9 +898,7 @@ def cokernelZeroIsoTarget : cokernel (0 : X ⟶ Y) ≅ Y :=
 #print CategoryTheory.Limits.cokernelZeroIsoTarget_hom /-
 @[simp]
 theorem cokernelZeroIsoTarget_hom :
-    cokernelZeroIsoTarget.Hom = cokernel.desc (0 : X ⟶ Y) (𝟙 Y) (by simp) :=
-  by
-  ext
+    cokernelZeroIsoTarget.Hom = cokernel.desc (0 : X ⟶ Y) (𝟙 Y) (by simp) := by ext;
   simp [cokernel_zero_iso_target]
 #align category_theory.limits.cokernel_zero_iso_target_hom CategoryTheory.Limits.cokernelZeroIsoTarget_hom
 -/
@@ -997,9 +920,7 @@ def cokernelIsoOfEq {f g : X ⟶ Y} [HasCokernel f] [HasCokernel g] (h : f = g)
 
 #print CategoryTheory.Limits.cokernelIsoOfEq_refl /-
 @[simp]
-theorem cokernelIsoOfEq_refl {h : f = f} : cokernelIsoOfEq h = Iso.refl (cokernel f) :=
-  by
-  ext
+theorem cokernelIsoOfEq_refl {h : f = f} : cokernelIsoOfEq h = Iso.refl (cokernel f) := by ext;
   simp [cokernel_iso_of_eq]
 #align category_theory.limits.cokernel_iso_of_eq_refl CategoryTheory.Limits.cokernelIsoOfEq_refl
 -/
@@ -1007,20 +928,14 @@ theorem cokernelIsoOfEq_refl {h : f = f} : cokernelIsoOfEq h = Iso.refl (cokerne
 #print CategoryTheory.Limits.π_comp_cokernelIsoOfEq_hom /-
 @[simp, reassoc]
 theorem π_comp_cokernelIsoOfEq_hom {f g : X ⟶ Y} [HasCokernel f] [HasCokernel g] (h : f = g) :
-    cokernel.π _ ≫ (cokernelIsoOfEq h).Hom = cokernel.π _ :=
-  by
-  induction h
-  simp
+    cokernel.π _ ≫ (cokernelIsoOfEq h).Hom = cokernel.π _ := by induction h; simp
 #align category_theory.limits.π_comp_cokernel_iso_of_eq_hom CategoryTheory.Limits.π_comp_cokernelIsoOfEq_hom
 -/
 
 #print CategoryTheory.Limits.π_comp_cokernelIsoOfEq_inv /-
 @[simp, reassoc]
 theorem π_comp_cokernelIsoOfEq_inv {f g : X ⟶ Y} [HasCokernel f] [HasCokernel g] (h : f = g) :
-    cokernel.π _ ≫ (cokernelIsoOfEq h).inv = cokernel.π _ :=
-  by
-  induction h
-  simp
+    cokernel.π _ ≫ (cokernelIsoOfEq h).inv = cokernel.π _ := by induction h; simp
 #align category_theory.limits.π_comp_cokernel_iso_of_eq_inv CategoryTheory.Limits.π_comp_cokernelIsoOfEq_inv
 -/
 
@@ -1028,10 +943,8 @@ theorem π_comp_cokernelIsoOfEq_inv {f g : X ⟶ Y} [HasCokernel f] [HasCokernel
 @[simp, reassoc]
 theorem cokernelIsoOfEq_hom_comp_desc {Z} {f g : X ⟶ Y} [HasCokernel f] [HasCokernel g] (h : f = g)
     (e : Y ⟶ Z) (he) :
-    (cokernelIsoOfEq h).Hom ≫ cokernel.desc _ e he = cokernel.desc _ e (by simp [h, he]) :=
-  by
-  induction h
-  simp
+    (cokernelIsoOfEq h).Hom ≫ cokernel.desc _ e he = cokernel.desc _ e (by simp [h, he]) := by
+  induction h; simp
 #align category_theory.limits.cokernel_iso_of_eq_hom_comp_desc CategoryTheory.Limits.cokernelIsoOfEq_hom_comp_desc
 -/
 
@@ -1039,10 +952,8 @@ theorem cokernelIsoOfEq_hom_comp_desc {Z} {f g : X ⟶ Y} [HasCokernel f] [HasCo
 @[simp, reassoc]
 theorem cokernelIsoOfEq_inv_comp_desc {Z} {f g : X ⟶ Y} [HasCokernel f] [HasCokernel g] (h : f = g)
     (e : Y ⟶ Z) (he) :
-    (cokernelIsoOfEq h).inv ≫ cokernel.desc _ e he = cokernel.desc _ e (by simp [← h, he]) :=
-  by
-  induction h
-  simp
+    (cokernelIsoOfEq h).inv ≫ cokernel.desc _ e he = cokernel.desc _ e (by simp [← h, he]) := by
+  induction h; simp
 #align category_theory.limits.cokernel_iso_of_eq_inv_comp_desc CategoryTheory.Limits.cokernelIsoOfEq_inv_comp_desc
 -/
 
@@ -1050,12 +961,8 @@ theorem cokernelIsoOfEq_inv_comp_desc {Z} {f g : X ⟶ Y} [HasCokernel f] [HasCo
 @[simp]
 theorem cokernelIsoOfEq_trans {f g h : X ⟶ Y} [HasCokernel f] [HasCokernel g] [HasCokernel h]
     (w₁ : f = g) (w₂ : g = h) :
-    cokernelIsoOfEq w₁ ≪≫ cokernelIsoOfEq w₂ = cokernelIsoOfEq (w₁.trans w₂) :=
-  by
-  induction w₁
-  induction w₂
-  ext
-  simp [cokernel_iso_of_eq]
+    cokernelIsoOfEq w₁ ≪≫ cokernelIsoOfEq w₂ = cokernelIsoOfEq (w₁.trans w₂) := by induction w₁;
+  induction w₂; ext; simp [cokernel_iso_of_eq]
 #align category_theory.limits.cokernel_iso_of_eq_trans CategoryTheory.Limits.cokernelIsoOfEq_trans
 -/
 
@@ -1069,9 +976,7 @@ theorem cokernel_not_mono_of_nonzero (w : f ≠ 0) : ¬Mono (cokernel.π f) := f
 
 #print CategoryTheory.Limits.cokernel_not_iso_of_nonzero /-
 theorem cokernel_not_iso_of_nonzero (w : f ≠ 0) : IsIso (cokernel.π f) → False := fun I =>
-  cokernel_not_mono_of_nonzero w <| by
-    skip
-    infer_instance
+  cokernel_not_mono_of_nonzero w <| by skip; infer_instance
 #align category_theory.limits.cokernel_not_iso_of_nonzero CategoryTheory.Limits.cokernel_not_iso_of_nonzero
 -/
 
@@ -1085,10 +990,7 @@ instance hasCokernel_comp_iso {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [HasCokern
           isColimitAux _
             (fun s =>
               cokernel.desc _ (g ≫ s.π) (by rw [← category.assoc, cokernel_cofork.condition]))
-            (by tidy) fun s m w => by
-            simp_rw [← w]
-            ext
-            simp }⟩
+            (by tidy) fun s m w => by simp_rw [← w]; ext; simp }⟩
 #align category_theory.limits.has_cokernel_comp_iso CategoryTheory.Limits.hasCokernel_comp_iso
 -/
 
@@ -1120,11 +1022,7 @@ def cokernelEpiComp {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [Epi f] [HasCokernel
     cokernel (f ≫ g) ≅ cokernel g
     where
   Hom := cokernel.desc _ (cokernel.π g) (by simp)
-  inv :=
-    cokernel.desc _ (cokernel.π (f ≫ g))
-      (by
-        rw [← cancel_epi f, ← category.assoc]
-        simp)
+  inv := cokernel.desc _ (cokernel.π (f ≫ g)) (by rw [← cancel_epi f, ← category.assoc]; simp)
 #align category_theory.limits.cokernel_epi_comp CategoryTheory.Limits.cokernelEpiComp
 -/
 
@@ -1284,10 +1182,7 @@ def IsCokernel.ofIsoComp {Z : C} (l : Z ⟶ Y) (i : X ≅ Z) (h : i.Hom ≫ l =
     IsColimit
       (CokernelCofork.ofπ (Cofork.π s) <| show l ≫ Cofork.π s = 0 by simp [i.eq_inv_comp.2 h]) :=
   Cofork.IsColimit.mk _ (fun s => hs.desc <| CokernelCofork.ofπ (Cofork.π s) <| by simp [← h])
-    (fun s => by simp) fun s m h =>
-    by
-    apply cofork.is_colimit.hom_ext hs
-    simpa using h
+    (fun s => by simp) fun s m h => by apply cofork.is_colimit.hom_ext hs; simpa using h
 #align category_theory.limits.is_cokernel.of_iso_comp CategoryTheory.Limits.IsCokernel.ofIsoComp
 
 #print CategoryTheory.Limits.cokernel.ofIsoComp /-
@@ -1309,11 +1204,7 @@ Case conversion may be inaccurate. Consider using '#align category_theory.limits
 def IsCokernel.cokernelIso {Z : C} (l : Y ⟶ Z) {s : CokernelCofork f} (hs : IsColimit s)
     (i : s.pt ≅ Z) (h : Cofork.π s ≫ i.Hom = l) :
     IsColimit (CokernelCofork.ofπ l <| show f ≫ l = 0 by simp [← h]) :=
-  IsColimit.ofIsoColimit hs <|
-    Cocones.ext i fun j => by
-      cases j
-      · simp
-      · exact h
+  IsColimit.ofIsoColimit hs <| Cocones.ext i fun j => by cases j; · simp; · exact h
 #align category_theory.limits.is_cokernel.cokernel_iso CategoryTheory.Limits.IsCokernel.cokernelIso
 
 #print CategoryTheory.Limits.cokernel.cokernelIso /-
@@ -1364,9 +1255,7 @@ theorem map_lift_kernelComparison [HasKernel f] [HasKernel (G.map f)] {Z : C} {h
     (w : h ≫ f = 0) :
     G.map (kernel.lift _ h w) ≫ kernelComparison f G =
       kernel.lift _ (G.map h) (by simp only [← G.map_comp, w, functor.map_zero]) :=
-  by
-  ext
-  simp [← G.map_comp]
+  by ext; simp [← G.map_comp]
 #align category_theory.limits.map_lift_kernel_comparison CategoryTheory.Limits.map_lift_kernelComparison
 
 /- warning: category_theory.limits.kernel_comparison_comp_kernel_map -> CategoryTheory.Limits.kernelComparison_comp_kernel_map is a dubious translation:
@@ -1414,9 +1303,7 @@ theorem cokernelComparison_map_desc [HasCokernel f] [HasCokernel (G.map f)] {Z :
     (w : f ≫ h = 0) :
     cokernelComparison f G ≫ G.map (cokernel.desc _ h w) =
       cokernel.desc _ (G.map h) (by simp only [← G.map_comp, w, functor.map_zero]) :=
-  by
-  ext
-  simp [← G.map_comp]
+  by ext; simp [← G.map_comp]
 #align category_theory.limits.cokernel_comparison_map_desc CategoryTheory.Limits.cokernelComparison_map_desc
 
 /- warning: category_theory.limits.cokernel_map_comp_cokernel_comparison -> CategoryTheory.Limits.cokernel_map_comp_cokernelComparison is a dubious translation:

69c6a5a1

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -96,10 +96,7 @@ abbrev KernelFork :=
 variable {f}
 
 /- warning: category_theory.limits.kernel_fork.condition -> CategoryTheory.Limits.KernelFork.condition is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_fork.condition CategoryTheory.Limits.KernelFork.conditionₓ'. -/
 @[simp, reassoc]
 theorem KernelFork.condition (s : KernelFork f) : Fork.ι s ≫ f = 0 := by
@@ -107,10 +104,7 @@ theorem KernelFork.condition (s : KernelFork f) : Fork.ι s ≫ f = 0 := by
 #align category_theory.limits.kernel_fork.condition CategoryTheory.Limits.KernelFork.condition
 
 /- warning: category_theory.limits.kernel_fork.app_one -> CategoryTheory.Limits.KernelFork.app_one is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_fork.app_one CategoryTheory.Limits.KernelFork.app_oneₓ'. -/
 @[simp]
 theorem KernelFork.app_one (s : KernelFork f) : s.π.app one = 0 := by
@@ -125,10 +119,7 @@ abbrev KernelFork.ofι {Z : C} (ι : Z ⟶ X) (w : ι ≫ f = 0) : KernelFork f
 -/
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_fork.ι_of_ι CategoryTheory.Limits.KernelFork.ι_ofιₓ'. -/
 @[simp]
 theorem KernelFork.ι_ofι {X Y P : C} (f : X ⟶ Y) (ι : P ⟶ X) (w : ι ≫ f = 0) :
@@ -175,10 +166,7 @@ def compNatIso {D : Type u'} [Category.{v} D] [HasZeroMorphisms D] (F : C ⥤ D)
 end
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_fork.is_limit.lift' CategoryTheory.Limits.KernelFork.IsLimit.lift'ₓ'. -/
 /-- If `s` is a limit kernel fork and `k : W ⟶ X` satisfies ``k ≫ f = 0`, then there is some
     `l : W ⟶ s.X` such that `l ≫ fork.ι s = k`. -/
@@ -188,10 +176,7 @@ def KernelFork.IsLimit.lift' {s : KernelFork f} (hs : IsLimit s) {W : C} (k : W
 #align category_theory.limits.kernel_fork.is_limit.lift' CategoryTheory.Limits.KernelFork.IsLimit.lift'
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_limit_aux CategoryTheory.Limits.isLimitAuxₓ'. -/
 /-- This is a slightly more convenient method to verify that a kernel fork is a limit cone. It
     only asks for a proof of facts that carry any mathematical content -/
@@ -222,10 +207,7 @@ def KernelFork.IsLimit.ofι {W : C} (g : W ⟶ X) (eq : g ≫ f = 0)
 -/
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_kernel_comp_mono CategoryTheory.Limits.isKernelCompMonoₓ'. -/
 /-- Every kernel of `f` induces a kernel of `f ≫ g` if `g` is mono. -/
 def isKernelCompMono {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg : Mono g] {h : X ⟶ Z}
@@ -238,10 +220,7 @@ def isKernelCompMono {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg :
 #align category_theory.limits.is_kernel_comp_mono CategoryTheory.Limits.isKernelCompMono
 
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_inst_1)) X Z) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Z)))) s))) CategoryTheory.Limits.WalkingParallelPair.zero) Z)))))))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_kernel_comp_mono_lift CategoryTheory.Limits.isKernelCompMono_liftₓ'. -/
 theorem isKernelCompMono_lift {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg : Mono g]
     {h : X ⟶ Z} (hh : h = f ≫ g) (s : KernelFork h) :
@@ -255,10 +234,7 @@ theorem isKernelCompMono_lift {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶
 #align category_theory.limits.is_kernel_comp_mono_lift CategoryTheory.Limits.isKernelCompMono_lift
 
 /- warning: category_theory.limits.is_kernel_of_comp -> CategoryTheory.Limits.isKernelOfComp is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_kernel_of_comp CategoryTheory.Limits.isKernelOfCompₓ'. -/
 /-- Every kernel of `f ≫ g` is also a kernel of `f`, as long as `c.ι ≫ f` vanishes. -/
 def isKernelOfComp {W : C} (g : Y ⟶ W) (h : X ⟶ W) {c : KernelFork h} (i : IsLimit c)
@@ -632,10 +608,7 @@ end HasZeroObject
 section Transport
 
 /- warning: category_theory.limits.is_kernel.of_comp_iso -> CategoryTheory.Limits.IsKernel.ofCompIso is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_kernel.of_comp_iso CategoryTheory.Limits.IsKernel.ofCompIsoₓ'. -/
 /-- If `i` is an isomorphism such that `l ≫ i.hom = f`, then any kernel of `f` is a kernel of `l`.-/
 def IsKernel.ofCompIso {Z : C} (l : X ⟶ Z) (i : Z ≅ Y) (h : l ≫ i.Hom = f) {s : KernelFork f}
@@ -659,10 +632,7 @@ def kernel.ofCompIso [HasKernel f] {Z : C} (l : X ⟶ Z) (i : Z ≅ Y) (h : l 
 -/
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_kernel.iso_kernel CategoryTheory.Limits.IsKernel.isoKernelₓ'. -/
 /-- If `s` is any limit kernel cone over `f` and if  `i` is an isomorphism such that
     `i.hom ≫ s.ι  = l`, then `l` is a kernel of `f`. -/
@@ -710,10 +680,7 @@ abbrev CokernelCofork :=
 variable {f}
 
 /- warning: category_theory.limits.cokernel_cofork.condition -> CategoryTheory.Limits.CokernelCofork.condition is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_cofork.condition CategoryTheory.Limits.CokernelCofork.conditionₓ'. -/
 @[simp, reassoc]
 theorem CokernelCofork.condition (s : CokernelCofork f) : f ≫ s.π = 0 := by
@@ -721,10 +688,7 @@ theorem CokernelCofork.condition (s : CokernelCofork f) : f ≫ s.π = 0 := by
 #align category_theory.limits.cokernel_cofork.condition CategoryTheory.Limits.CokernelCofork.condition
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_cofork.π_eq_zero CategoryTheory.Limits.CokernelCofork.π_eq_zeroₓ'. -/
 @[simp]
 theorem CokernelCofork.π_eq_zero (s : CokernelCofork f) : s.ι.app zero = 0 := by
@@ -739,10 +703,7 @@ abbrev CokernelCofork.ofπ {Z : C} (π : Y ⟶ Z) (w : f ≫ π = 0) : CokernelC
 -/
 
 /- warning: category_theory.limits.cokernel_cofork.π_of_π -> CategoryTheory.Limits.CokernelCofork.π_ofπ is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_cofork.π_of_π CategoryTheory.Limits.CokernelCofork.π_ofπₓ'. -/
 @[simp]
 theorem CokernelCofork.π_ofπ {X Y P : C} (f : X ⟶ Y) (π : Y ⟶ P) (w : f ≫ π = 0) :
@@ -766,10 +727,7 @@ def ofπCongr {P : C} {π π' : Y ⟶ P} {w : f ≫ π = 0} (h : π = π') :
 -/
 
 /- warning: category_theory.limits.cokernel_cofork.is_colimit.desc' -> CategoryTheory.Limits.CokernelCofork.IsColimit.desc' is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_cofork.is_colimit.desc' CategoryTheory.Limits.CokernelCofork.IsColimit.desc'ₓ'. -/
 /-- If `s` is a colimit cokernel cofork, then every `k : Y ⟶ W` satisfying `f ≫ k = 0` induces
     `l : s.X ⟶ W` such that `cofork.π s ≫ l = k`. -/
@@ -779,10 +737,7 @@ def CokernelCofork.IsColimit.desc' {s : CokernelCofork f} (hs : IsColimit s) {W
 #align category_theory.limits.cokernel_cofork.is_colimit.desc' CategoryTheory.Limits.CokernelCofork.IsColimit.desc'
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_colimit_aux CategoryTheory.Limits.isColimitAuxₓ'. -/
 /-- This is a slightly more convenient method to verify that a cokernel cofork is a colimit cocone.
 It only asks for a proof of facts that carry any mathematical content -/
@@ -814,10 +769,7 @@ def CokernelCofork.IsColimit.ofπ {Z : C} (g : Y ⟶ Z) (eq : f ≫ g = 0)
 -/
 
 /- warning: category_theory.limits.is_cokernel_epi_comp -> CategoryTheory.Limits.isCokernelEpiComp is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_cokernel_epi_comp CategoryTheory.Limits.isCokernelEpiCompₓ'. -/
 /-- Every cokernel of `f` induces a cokernel of `g ≫ f` if `g` is epi. -/
 def isCokernelEpiComp {c : CokernelCofork f} (i : IsColimit c) {W} (g : W ⟶ X) [hg : Epi g]
@@ -836,10 +788,7 @@ def isCokernelEpiComp {c : CokernelCofork f} (i : IsColimit c) {W} (g : W ⟶ X)
 #align category_theory.limits.is_cokernel_epi_comp CategoryTheory.Limits.isCokernelEpiComp
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_cokernel_epi_comp_desc CategoryTheory.Limits.isCokernelEpiComp_descₓ'. -/
 @[simp]
 theorem isCokernelEpiComp_desc {c : CokernelCofork f} (i : IsColimit c) {W} (g : W ⟶ X) [hg : Epi g]
@@ -854,10 +803,7 @@ theorem isCokernelEpiComp_desc {c : CokernelCofork f} (i : IsColimit c) {W} (g :
 #align category_theory.limits.is_cokernel_epi_comp_desc CategoryTheory.Limits.isCokernelEpiComp_desc
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_cokernel_of_comp CategoryTheory.Limits.isCokernelOfCompₓ'. -/
 /-- Every cokernel of `g ≫ f` is also a cokernel of `f`, as long as `f ≫ c.π` vanishes. -/
 def isCokernelOfComp {W : C} (g : W ⟶ X) (h : W ⟶ Y) {c : CokernelCofork h} (i : IsColimit c)
@@ -1329,10 +1275,7 @@ end HasZeroObject
 section Transport
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_cokernel.of_iso_comp CategoryTheory.Limits.IsCokernel.ofIsoCompₓ'. -/
 /-- If `i` is an isomorphism such that `i.hom ≫ l = f`, then any cokernel of `f` is a cokernel of
     `l`. -/
@@ -1359,10 +1302,7 @@ def cokernel.ofIsoComp [HasCokernel f] {Z : C} (l : Z ⟶ Y) (i : X ≅ Z) (h :
 -/
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_cokernel.cokernel_iso CategoryTheory.Limits.IsCokernel.cokernelIsoₓ'. -/
 /-- If `s` is any colimit cokernel cocone over `f` and `i` is an isomorphism such that
     `s.π ≫ i.hom = l`, then `l` is a cokernel of `f`. -/
@@ -1408,10 +1348,7 @@ def kernelComparison [HasKernel f] [HasKernel (G.map f)] : G.obj (kernel f) ⟶
 #align category_theory.limits.kernel_comparison CategoryTheory.Limits.kernelComparison
 
 /- warning: category_theory.limits.kernel_comparison_comp_ι -> CategoryTheory.Limits.kernelComparison_comp_ι is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_comparison_comp_ι CategoryTheory.Limits.kernelComparison_comp_ιₓ'. -/
 @[simp, reassoc]
 theorem kernelComparison_comp_ι [HasKernel f] [HasKernel (G.map f)] :
@@ -1420,10 +1357,7 @@ theorem kernelComparison_comp_ι [HasKernel f] [HasKernel (G.map f)] :
 #align category_theory.limits.kernel_comparison_comp_ι CategoryTheory.Limits.kernelComparison_comp_ι
 
 /- warning: category_theory.limits.map_lift_kernel_comparison -> CategoryTheory.Limits.map_lift_kernelComparison is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.map_lift_kernel_comparison CategoryTheory.Limits.map_lift_kernelComparisonₓ'. -/
 @[simp, reassoc]
 theorem map_lift_kernelComparison [HasKernel f] [HasKernel (G.map f)] {Z : C} {h : Z ⟶ X}
@@ -1436,10 +1370,7 @@ theorem map_lift_kernelComparison [HasKernel f] [HasKernel (G.map f)] {Z : C} {h
 #align category_theory.limits.map_lift_kernel_comparison CategoryTheory.Limits.map_lift_kernelComparison
 
 /- warning: category_theory.limits.kernel_comparison_comp_kernel_map -> CategoryTheory.Limits.kernelComparison_comp_kernel_map is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_comparison_comp_kernel_map CategoryTheory.Limits.kernelComparison_comp_kernel_mapₓ'. -/
 @[reassoc]
 theorem kernelComparison_comp_kernel_map {X' Y' : C} [HasKernel f] [HasKernel (G.map f)]
@@ -1467,10 +1398,7 @@ def cokernelComparison [HasCokernel f] [HasCokernel (G.map f)] :
 #align category_theory.limits.cokernel_comparison CategoryTheory.Limits.cokernelComparison
 
 /- warning: category_theory.limits.π_comp_cokernel_comparison -> CategoryTheory.Limits.π_comp_cokernelComparison is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.π_comp_cokernel_comparison CategoryTheory.Limits.π_comp_cokernelComparisonₓ'. -/
 @[simp, reassoc]
 theorem π_comp_cokernelComparison [HasCokernel f] [HasCokernel (G.map f)] :
@@ -1479,10 +1407,7 @@ theorem π_comp_cokernelComparison [HasCokernel f] [HasCokernel (G.map f)] :
 #align category_theory.limits.π_comp_cokernel_comparison CategoryTheory.Limits.π_comp_cokernelComparison
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_comparison_map_desc CategoryTheory.Limits.cokernelComparison_map_descₓ'. -/
 @[simp, reassoc]
 theorem cokernelComparison_map_desc [HasCokernel f] [HasCokernel (G.map f)] {Z : C} {h : Y ⟶ Z}
@@ -1495,10 +1420,7 @@ theorem cokernelComparison_map_desc [HasCokernel f] [HasCokernel (G.map f)] {Z :
 #align category_theory.limits.cokernel_comparison_map_desc CategoryTheory.Limits.cokernelComparison_map_desc
 
 /- warning: category_theory.limits.cokernel_map_comp_cokernel_comparison -> CategoryTheory.Limits.cokernel_map_comp_cokernelComparison is a dubious translation:
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(CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) (CategoryTheory.Limits.cokernel.{u1, u3} C _inst_1 _inst_2 X Y f _inst_6)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) (CategoryTheory.Limits.cokernel.{u1, u3} C _inst_1 _inst_2 X' Y' g _inst_8)) (CategoryTheory.Limits.cokernelComparison.{u1, u2, u3, u4} C _inst_1 _inst_2 X Y f D _inst_3 _inst_4 G _inst_5 _inst_6 _inst_7) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) (CategoryTheory.Limits.cokernel.{u1, u3} C _inst_1 _inst_2 X Y f _inst_6) (CategoryTheory.Limits.cokernel.{u1, u3} C _inst_1 _inst_2 X' Y' g _inst_8) (CategoryTheory.Limits.cokernel.map.{u1, u3} C _inst_1 _inst_2 X Y f _inst_6 X' Y' g _inst_8 p q hpq)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_map_comp_cokernel_comparison CategoryTheory.Limits.cokernel_map_comp_cokernelComparisonₓ'. -/
 @[reassoc]
 theorem cokernel_map_comp_cokernelComparison {X' Y' : C} [HasCokernel f] [HasCokernel (G.map f)]

69c6a5a1

bump to nightly-2023-05-23-03

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

ed98987c

Diff

@@ -101,7 +101,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] {X : C} {Y : C} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y} (s : CategoryTheory.Limits.KernelFork.{u1, u2} C _inst_1 _inst_2 X Y f), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{1, succ u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.CategoryStruct.toQuiver.{0, 0} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Category.toCategoryStruct.{0, 0} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (Prefunctor.obj.{succ u1, succ u1, u2, max u1 u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u2 u1} (CategoryTheory.Functor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Category.toCategoryStruct.{u1, max u2 u1} (CategoryTheory.Functor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Functor.category.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, max u2 u1} C _inst_1 (CategoryTheory.Functor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Functor.category.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Functor.const.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1)) (CategoryTheory.Limits.Cone.pt.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Y)))) s))) CategoryTheory.Limits.WalkingParallelPair.zero) Y) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) (Prefunctor.obj.{1, succ u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.CategoryStruct.toQuiver.{0, 0} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Category.toCategoryStruct.{0, 0} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (Prefunctor.obj.{succ 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CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Functor.category.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Functor.const.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1)) (CategoryTheory.Limits.Cone.pt.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Y)))) s))) CategoryTheory.Limits.WalkingParallelPair.zero) (Prefunctor.obj.{1, succ u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.CategoryStruct.toQuiver.{0, 0} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Category.toCategoryStruct.{0, 0} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Y))))) CategoryTheory.Limits.WalkingParallelPair.zero) Y (CategoryTheory.Limits.Fork.ι.{u1, u2} C _inst_1 X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Y))) s) f) (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{1, succ u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.CategoryStruct.toQuiver.{0, 0} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Category.toCategoryStruct.{0, 0} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (Prefunctor.obj.{succ u1, succ u1, u2, max u1 u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u2 u1} (CategoryTheory.Functor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Category.toCategoryStruct.{u1, max u2 u1} 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CategoryTheory.Limits.walkingParallelPairHomCategory)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (Prefunctor.obj.{succ u1, succ u1, u2, max u1 u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u2 u1} (CategoryTheory.Functor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Category.toCategoryStruct.{u1, max u2 u1} (CategoryTheory.Functor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair 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(CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Y)))) s))) CategoryTheory.Limits.WalkingParallelPair.zero) Y)))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_fork.condition CategoryTheory.Limits.KernelFork.conditionₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem KernelFork.condition (s : KernelFork f) : Fork.ι s ≫ f = 0 := by
   erw [fork.condition, has_zero_morphisms.comp_zero]
 #align category_theory.limits.kernel_fork.condition CategoryTheory.Limits.KernelFork.condition
@@ -298,7 +298,7 @@ theorem equalizer_as_kernel : equalizer.ι f 0 = kernel.ι f :=
 -/
 
 #print CategoryTheory.Limits.kernel.condition /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem kernel.condition : kernel.ι f ≫ f = 0 :=
   KernelFork.condition _
 #align category_theory.limits.kernel.condition CategoryTheory.Limits.kernel.condition
@@ -320,7 +320,7 @@ abbrev kernel.lift {W : C} (k : W ⟶ X) (h : k ≫ f = 0) : W ⟶ kernel f :=
 -/
 
 #print CategoryTheory.Limits.kernel.lift_ι /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem kernel.lift_ι {W : C} (k : W ⟶ X) (h : k ≫ f = 0) : kernel.lift f k h ≫ kernel.ι f = k :=
   (kernelIsKernel f).fac (KernelFork.ofι k h) WalkingParallelPair.zero
 #align category_theory.limits.kernel.lift_ι CategoryTheory.Limits.kernel.lift_ι
@@ -455,7 +455,7 @@ theorem kernelIsoOfEq_refl {h : f = f} : kernelIsoOfEq h = Iso.refl (kernel f) :
 -/
 
 #print CategoryTheory.Limits.kernelIsoOfEq_hom_comp_ι /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem kernelIsoOfEq_hom_comp_ι {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h : f = g) :
     (kernelIsoOfEq h).Hom ≫ kernel.ι _ = kernel.ι _ :=
   by
@@ -465,7 +465,7 @@ theorem kernelIsoOfEq_hom_comp_ι {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h
 -/
 
 #print CategoryTheory.Limits.kernelIsoOfEq_inv_comp_ι /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem kernelIsoOfEq_inv_comp_ι {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h : f = g) :
     (kernelIsoOfEq h).inv ≫ kernel.ι _ = kernel.ι _ :=
   by
@@ -475,7 +475,7 @@ theorem kernelIsoOfEq_inv_comp_ι {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h
 -/
 
 #print CategoryTheory.Limits.lift_comp_kernelIsoOfEq_hom /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem lift_comp_kernelIsoOfEq_hom {Z} {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h : f = g)
     (e : Z ⟶ X) (he) :
     kernel.lift _ e he ≫ (kernelIsoOfEq h).Hom = kernel.lift _ e (by simp [← h, he]) :=
@@ -486,7 +486,7 @@ theorem lift_comp_kernelIsoOfEq_hom {Z} {f g : X ⟶ Y} [HasKernel f] [HasKernel
 -/
 
 #print CategoryTheory.Limits.lift_comp_kernelIsoOfEq_inv /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem lift_comp_kernelIsoOfEq_inv {Z} {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h : f = g)
     (e : Z ⟶ X) (he) :
     kernel.lift _ e he ≫ (kernelIsoOfEq h).inv = kernel.lift _ e (by simp [h, he]) :=
@@ -715,7 +715,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] {X : C} {Y : C} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y} (s : CategoryTheory.Limits.CokernelCofork.{u1, u2} C _inst_1 _inst_2 X Y f), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X (Prefunctor.obj.{1, succ u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.CategoryStruct.toQuiver.{0, 0} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Category.toCategoryStruct.{0, 0} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) 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s))) CategoryTheory.Limits.WalkingParallelPair.one) f (CategoryTheory.Limits.Cofork.π.{u1, u2} C _inst_1 X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Y))) s)) (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X (Prefunctor.obj.{1, succ u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.CategoryStruct.toQuiver.{0, 0} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Category.toCategoryStruct.{0, 0} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (Prefunctor.obj.{succ u1, succ u1, u2, max u1 u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u2 u1} (CategoryTheory.Functor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Category.toCategoryStruct.{u1, max u2 u1} (CategoryTheory.Functor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair 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(CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (Prefunctor.obj.{succ u1, succ u1, u2, max u1 u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{u1, max u2 u1} (CategoryTheory.Functor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Category.toCategoryStruct.{u1, max u2 u1} (CategoryTheory.Functor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Functor.category.{0, u1, 0, u2} 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s))) CategoryTheory.Limits.WalkingParallelPair.one))))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_cofork.condition CategoryTheory.Limits.CokernelCofork.conditionₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem CokernelCofork.condition (s : CokernelCofork f) : f ≫ s.π = 0 := by
   rw [cofork.condition, zero_comp]
 #align category_theory.limits.cokernel_cofork.condition CategoryTheory.Limits.CokernelCofork.condition
@@ -897,7 +897,7 @@ theorem coequalizer_as_cokernel : coequalizer.π f 0 = cokernel.π f :=
 -/
 
 #print CategoryTheory.Limits.cokernel.condition /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem cokernel.condition : f ≫ cokernel.π f = 0 :=
   CokernelCofork.condition _
 #align category_theory.limits.cokernel.condition CategoryTheory.Limits.cokernel.condition
@@ -920,7 +920,7 @@ abbrev cokernel.desc {W : C} (k : Y ⟶ W) (h : f ≫ k = 0) : cokernel f ⟶ W
 -/
 
 #print CategoryTheory.Limits.cokernel.π_desc /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem cokernel.π_desc {W : C} (k : Y ⟶ W) (h : f ≫ k = 0) :
     cokernel.π f ≫ cokernel.desc f k h = k :=
   (cokernelIsCokernel f).fac (CokernelCofork.ofπ k h) WalkingParallelPair.one
@@ -1059,7 +1059,7 @@ theorem cokernelIsoOfEq_refl {h : f = f} : cokernelIsoOfEq h = Iso.refl (cokerne
 -/
 
 #print CategoryTheory.Limits.π_comp_cokernelIsoOfEq_hom /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem π_comp_cokernelIsoOfEq_hom {f g : X ⟶ Y} [HasCokernel f] [HasCokernel g] (h : f = g) :
     cokernel.π _ ≫ (cokernelIsoOfEq h).Hom = cokernel.π _ :=
   by
@@ -1069,7 +1069,7 @@ theorem π_comp_cokernelIsoOfEq_hom {f g : X ⟶ Y} [HasCokernel f] [HasCokernel
 -/
 
 #print CategoryTheory.Limits.π_comp_cokernelIsoOfEq_inv /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem π_comp_cokernelIsoOfEq_inv {f g : X ⟶ Y} [HasCokernel f] [HasCokernel g] (h : f = g) :
     cokernel.π _ ≫ (cokernelIsoOfEq h).inv = cokernel.π _ :=
   by
@@ -1079,7 +1079,7 @@ theorem π_comp_cokernelIsoOfEq_inv {f g : X ⟶ Y} [HasCokernel f] [HasCokernel
 -/
 
 #print CategoryTheory.Limits.cokernelIsoOfEq_hom_comp_desc /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem cokernelIsoOfEq_hom_comp_desc {Z} {f g : X ⟶ Y} [HasCokernel f] [HasCokernel g] (h : f = g)
     (e : Y ⟶ Z) (he) :
     (cokernelIsoOfEq h).Hom ≫ cokernel.desc _ e he = cokernel.desc _ e (by simp [h, he]) :=
@@ -1090,7 +1090,7 @@ theorem cokernelIsoOfEq_hom_comp_desc {Z} {f g : X ⟶ Y} [HasCokernel f] [HasCo
 -/
 
 #print CategoryTheory.Limits.cokernelIsoOfEq_inv_comp_desc /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem cokernelIsoOfEq_inv_comp_desc {Z} {f g : X ⟶ Y} [HasCokernel f] [HasCokernel g] (h : f = g)
     (e : Y ⟶ Z) (he) :
     (cokernelIsoOfEq h).inv ≫ cokernel.desc _ e he = cokernel.desc _ e (by simp [← h, he]) :=
@@ -1413,7 +1413,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u3} C _inst_1] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X Y) {D : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u2, u4} D] [_inst_4 : CategoryTheory.Limits.HasZeroMorphisms.{u2, u4} D _inst_3] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_3) [_inst_5 : CategoryTheory.Functor.PreservesZeroMorphisms.{u1, u2, u3, u4} C _inst_1 D _inst_3 _inst_2 _inst_4 G] [_inst_6 : CategoryTheory.Limits.HasKernel.{u1, u3} C _inst_1 _inst_2 X Y f] [_inst_7 : CategoryTheory.Limits.HasKernel.{u2, u4} D _inst_3 _inst_4 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D 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(CategoryTheory.Limits.kernel.ι.{u2, u4} D _inst_3 _inst_4 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) X Y f) _inst_7)) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) (CategoryTheory.Limits.kernel.{u1, u3} C _inst_1 _inst_2 X Y f _inst_6) X (CategoryTheory.Limits.kernel.ι.{u1, u3} C _inst_1 _inst_2 X Y f _inst_6))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_comparison_comp_ι CategoryTheory.Limits.kernelComparison_comp_ιₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem kernelComparison_comp_ι [HasKernel f] [HasKernel (G.map f)] :
     kernelComparison f G ≫ kernel.ι (G.map f) = G.map (kernel.ι f) :=
   kernel.lift_ι _ _ _
@@ -1425,7 +1425,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u3} C _inst_1] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X Y) {D : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u2, u4} D] [_inst_4 : CategoryTheory.Limits.HasZeroMorphisms.{u2, u4} D _inst_3] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_3) [_inst_5 : CategoryTheory.Functor.PreservesZeroMorphisms.{u1, u2, u3, u4} C _inst_1 D _inst_3 _inst_2 _inst_4 G] [_inst_6 : CategoryTheory.Limits.HasKernel.{u1, u3} C _inst_1 _inst_2 X Y f] [_inst_7 : CategoryTheory.Limits.HasKernel.{u2, u4} D _inst_3 _inst_4 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D 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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.map_lift_kernel_comparison CategoryTheory.Limits.map_lift_kernelComparisonₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem map_lift_kernelComparison [HasKernel f] [HasKernel (G.map f)] {Z : C} {h : Z ⟶ X}
     (w : h ≫ f = 0) :
     G.map (kernel.lift _ h w) ≫ kernelComparison f G =
@@ -1441,7 +1441,7 @@ lean 3 declaration is
 but is expected to have type
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(CategoryTheory.Limits.kernel.{u1, u3} C _inst_1 _inst_2 X Y f _inst_6)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) (CategoryTheory.Limits.kernel.{u1, u3} C _inst_1 _inst_2 X' Y' g _inst_8)) (CategoryTheory.Limits.kernel.{u2, u4} D _inst_3 _inst_4 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) X') (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) Y') (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) X' Y' g) _inst_9) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) (CategoryTheory.Limits.kernel.{u1, u3} C _inst_1 _inst_2 X Y f _inst_6) (CategoryTheory.Limits.kernel.{u1, u3} C _inst_1 _inst_2 X' Y' g _inst_8) (CategoryTheory.Limits.kernel.map.{u1, u3} C _inst_1 _inst_2 X Y f _inst_6 X' Y' g _inst_8 p q hpq)) (CategoryTheory.Limits.kernelComparison.{u1, u2, u3, u4} C _inst_1 _inst_2 X' Y' g D _inst_3 _inst_4 G _inst_5 _inst_8 _inst_9))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_comparison_comp_kernel_map CategoryTheory.Limits.kernelComparison_comp_kernel_mapₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem kernelComparison_comp_kernel_map {X' Y' : C} [HasKernel f] [HasKernel (G.map f)]
     (g : X' ⟶ Y') [HasKernel g] [HasKernel (G.map g)] (p : X ⟶ X') (q : Y ⟶ Y')
     (hpq : f ≫ q = p ≫ g) :
@@ -1472,7 +1472,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u3} C _inst_1] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X Y) {D : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u2, u4} D] [_inst_4 : CategoryTheory.Limits.HasZeroMorphisms.{u2, u4} D _inst_3] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_3) [_inst_5 : CategoryTheory.Functor.PreservesZeroMorphisms.{u1, u2, u3, u4} C _inst_1 D _inst_3 _inst_2 _inst_4 G] [_inst_6 : CategoryTheory.Limits.HasCokernel.{u1, u3} C _inst_1 _inst_2 X Y f] [_inst_7 : CategoryTheory.Limits.HasCokernel.{u2, u4} D _inst_3 _inst_4 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) X Y f)], Eq.{succ u2} (Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) Y) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) (CategoryTheory.Limits.cokernel.{u1, u3} C _inst_1 _inst_2 X Y f _inst_6))) (CategoryTheory.CategoryStruct.comp.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) Y) (CategoryTheory.Limits.cokernel.{u2, u4} D _inst_3 _inst_4 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) X Y f) _inst_7) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) (CategoryTheory.Limits.cokernel.{u1, u3} C _inst_1 _inst_2 X Y f _inst_6)) (CategoryTheory.Limits.cokernel.π.{u2, u4} D _inst_3 _inst_4 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) X Y f) _inst_7) (CategoryTheory.Limits.cokernelComparison.{u1, u2, u3, u4} C _inst_1 _inst_2 X Y f D _inst_3 _inst_4 G _inst_5 _inst_6 _inst_7)) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) Y (CategoryTheory.Limits.cokernel.{u1, u3} C _inst_1 _inst_2 X Y f _inst_6) (CategoryTheory.Limits.cokernel.π.{u1, u3} C _inst_1 _inst_2 X Y f _inst_6))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.π_comp_cokernel_comparison CategoryTheory.Limits.π_comp_cokernelComparisonₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem π_comp_cokernelComparison [HasCokernel f] [HasCokernel (G.map f)] :
     cokernel.π (G.map f) ≫ cokernelComparison f G = G.map (cokernel.π _) :=
   cokernel.π_desc _ _ _
@@ -1484,7 +1484,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u3} C _inst_1] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X Y) {D : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u2, u4} D] [_inst_4 : CategoryTheory.Limits.HasZeroMorphisms.{u2, u4} D _inst_3] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_3) [_inst_5 : CategoryTheory.Functor.PreservesZeroMorphisms.{u1, u2, u3, u4} C _inst_1 D _inst_3 _inst_2 _inst_4 G] [_inst_6 : CategoryTheory.Limits.HasCokernel.{u1, u3} C _inst_1 _inst_2 X Y f] [_inst_7 : CategoryTheory.Limits.HasCokernel.{u2, u4} D _inst_3 _inst_4 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) X Y f)] {Z : C} {h : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) Y Z} (w : Eq.{succ u1} (Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X Z) (CategoryTheory.CategoryStruct.comp.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1) X Y Z f h) (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X Z) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X Z) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u3} C _inst_1 _inst_2 X Z)))), Eq.{succ u2} (Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Limits.cokernel.{u2, u4} D _inst_3 _inst_4 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) X Y f) _inst_7) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) Z)) (CategoryTheory.CategoryStruct.comp.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3) (CategoryTheory.Limits.cokernel.{u2, u4} D _inst_3 _inst_4 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C 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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_comparison_map_desc CategoryTheory.Limits.cokernelComparison_map_descₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem cokernelComparison_map_desc [HasCokernel f] [HasCokernel (G.map f)] {Z : C} {h : Y ⟶ Z}
     (w : f ≫ h = 0) :
     cokernelComparison f G ≫ G.map (cokernel.desc _ h w) =
@@ -1500,7 +1500,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u3} C _inst_1] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X Y) {D : Type.{u4}} [_inst_3 : CategoryTheory.Category.{u2, u4} D] [_inst_4 : CategoryTheory.Limits.HasZeroMorphisms.{u2, u4} D _inst_3] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_3) [_inst_5 : CategoryTheory.Functor.PreservesZeroMorphisms.{u1, u2, u3, u4} C _inst_1 D _inst_3 _inst_2 _inst_4 G] {X' : C} {Y' : C} [_inst_6 : CategoryTheory.Limits.HasCokernel.{u1, u3} C _inst_1 _inst_2 X Y f] [_inst_7 : CategoryTheory.Limits.HasCokernel.{u2, u4} D _inst_3 _inst_4 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) X Y f)] (g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X' Y') [_inst_8 : CategoryTheory.Limits.HasCokernel.{u1, u3} C _inst_1 _inst_2 X' Y' g] [_inst_9 : CategoryTheory.Limits.HasCokernel.{u2, u4} D _inst_3 _inst_4 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) X') (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) Y') (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) (CategoryTheory.Limits.cokernel.{u1, u3} C _inst_1 _inst_2 X Y f _inst_6)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) (CategoryTheory.Limits.cokernel.{u1, u3} C _inst_1 _inst_2 X' Y' g _inst_8)) (CategoryTheory.Limits.cokernelComparison.{u1, u2, u3, u4} C _inst_1 _inst_2 X Y f D _inst_3 _inst_4 G _inst_5 _inst_6 _inst_7) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_3 G) (CategoryTheory.Limits.cokernel.{u1, u3} C _inst_1 _inst_2 X Y f _inst_6) (CategoryTheory.Limits.cokernel.{u1, u3} C _inst_1 _inst_2 X' Y' g _inst_8) (CategoryTheory.Limits.cokernel.map.{u1, u3} C _inst_1 _inst_2 X Y f _inst_6 X' Y' g _inst_8 p q hpq)))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_map_comp_cokernel_comparison CategoryTheory.Limits.cokernel_map_comp_cokernelComparisonₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem cokernel_map_comp_cokernelComparison {X' Y' : C} [HasCokernel f] [HasCokernel (G.map f)]
     (g : X' ⟶ Y') [HasCokernel g] [HasCokernel (G.map g)] (p : X ⟶ X') (q : Y ⟶ Y')
     (hpq : f ≫ q = p ≫ g) :

69c6a5a1

bump to nightly-2023-05-19-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4

a31df521

Diff

@@ -241,7 +241,7 @@ def isKernelCompMono {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg :
 lean 3 declaration is
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] {X : C} {Y : C} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y} {c : CategoryTheory.Limits.KernelFork.{u1, u2} C _inst_1 _inst_2 X Y f} (i : CategoryTheory.Limits.IsLimit.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (OfNat.mk.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (Zero.zero.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.hasZero.{u1, u2} C _inst_1 _inst_2 X Y))))) c) {Z : C} (g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Y Z) [hg : CategoryTheory.Mono.{u1, u2} C _inst_1 Y Z g] {h : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z} (hh : Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) h (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Y Z f g)) (s : CategoryTheory.Limits.KernelFork.{u1, u2} C _inst_1 _inst_2 X Z h), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C 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 but is expected to have type
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(CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Z)))) s) Y Z) (CategoryTheory.Limits.comp_zero.{u1, u2} C _inst_1 _inst_2 (CategoryTheory.Limits.Cone.pt.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Z h (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Z)))) s) X (CategoryTheory.Limits.Fork.ι.{u1, u2} C _inst_1 X Z h (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) 0 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CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Z h (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Z)))) s))) CategoryTheory.Limits.WalkingParallelPair.zero) Z) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{1, succ u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.CategoryStruct.toQuiver.{0, 0} CategoryTheory.Limits.WalkingParallelPair 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(CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Z h (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Z)))) s))) CategoryTheory.Limits.WalkingParallelPair.zero) Z) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 (Prefunctor.obj.{1, succ u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.CategoryStruct.toQuiver.{0, 0} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Category.toCategoryStruct.{0, 0} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C 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CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, max u2 u1} C _inst_1 (CategoryTheory.Functor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Functor.category.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Functor.const.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1)) (CategoryTheory.Limits.Cone.pt.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Z h (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Z)))) s))) CategoryTheory.Limits.WalkingParallelPair.zero) Z)))))))))))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_kernel_comp_mono_lift CategoryTheory.Limits.isKernelCompMono_liftₓ'. -/
 theorem isKernelCompMono_lift {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg : Mono g]
     {h : X ⟶ Z} (hh : h = f ≫ g) (s : KernelFork h) :
@@ -662,7 +662,7 @@ def kernel.ofCompIso [HasKernel f] {Z : C} (l : X ⟶ Z) (i : Z ≅ Y) (h : l 
 lean 3 declaration is
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) {Z : C} (l : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Z X) {s : CategoryTheory.Limits.KernelFork.{u1, u2} C _inst_1 _inst_2 X Y f}, (CategoryTheory.Limits.IsLimit.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (OfNat.mk.{u1} (Quiver.Hom.{succ u1, u2} C 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X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Y)))) s) Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 Z (CategoryTheory.Limits.Cone.pt.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Y)))) s) i)) (CategoryTheory.Limits.KernelFork.condition.{u1, u2} C _inst_1 _inst_2 X Y f s))) (CategoryTheory.Limits.comp_zero.{u1, u2} C _inst_1 _inst_2 Z (CategoryTheory.Limits.Cone.pt.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Y)))) s) (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 Z (CategoryTheory.Limits.Cone.pt.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Y)))) s) i) Y))) (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Z Y) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Z Y) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 Z Y)))) (eq_self.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Z Y) (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Z Y) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Z Y) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 Z Y))))))])))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_kernel.iso_kernel CategoryTheory.Limits.IsKernel.isoKernelₓ'. -/
 /-- If `s` is any limit kernel cone over `f` and if  `i` is an isomorphism such that
     `i.hom ≫ s.ι  = l`, then `l` is a kernel of `f`. -/
@@ -1332,7 +1332,7 @@ section Transport
 lean 3 declaration is
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) {Z : C} (l : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Z Y) (i : CategoryTheory.Iso.{u1, u2} C _inst_1 X Z) (h : Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Z Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Z i) l) f) {s : CategoryTheory.Limits.CokernelCofork.{u1, u2} C _inst_1 _inst_2 X Y f}, (CategoryTheory.Limits.IsColimit.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (OfNat.mk.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (Zero.zero.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.hasZero.{u1, u2} C _inst_1 _inst_2 X Y))))) s) -> (CategoryTheory.Limits.IsColimit.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 Z (CategoryTheory.Functor.obj.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (OfNat.mk.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (Zero.zero.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.hasZero.{u1, u2} C _inst_1 _inst_2 X Y))))) CategoryTheory.Limits.WalkingParallelPair.one) l (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Z (CategoryTheory.Functor.obj.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (Zero.zero.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.hasZero.{u1, u2} C _inst_1 _inst_2 X Y))) CategoryTheory.Limits.WalkingParallelPair.one)) 0 (OfNat.mk.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Z (CategoryTheory.Functor.obj.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (Zero.zero.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.hasZero.{u1, u2} C _inst_1 _inst_2 X Y))) CategoryTheory.Limits.WalkingParallelPair.one)) 0 (Zero.zero.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Z (CategoryTheory.Functor.obj.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (Zero.zero.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.hasZero.{u1, u2} C _inst_1 _inst_2 X Y))) CategoryTheory.Limits.WalkingParallelPair.one)) (CategoryTheory.Limits.HasZeroMorphisms.hasZero.{u1, u2} C _inst_1 _inst_2 Z (CategoryTheory.Functor.obj.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (Zero.zero.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.hasZero.{u1, u2} C _inst_1 _inst_2 X Y))) CategoryTheory.Limits.WalkingParallelPair.one)))))) (CategoryTheory.Limits.CokernelCofork.ofπ.{u1, u2} C _inst_1 _inst_2 Z (CategoryTheory.Functor.obj.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (OfNat.mk.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (Zero.zero.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.hasZero.{u1, u2} C _inst_1 _inst_2 X Y))))) CategoryTheory.Limits.WalkingParallelPair.one) l (CategoryTheory.Functor.obj.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Functor.obj.{u1, u1, u2, max u1 u2} C _inst_1 (CategoryTheory.Functor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Functor.category.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Functor.const.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1) (CategoryTheory.Limits.Cocone.pt.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (OfNat.mk.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (Zero.zero.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.hasZero.{u1, u2} C _inst_1 _inst_2 X Y))))) s)) CategoryTheory.Limits.WalkingParallelPair.one) (CategoryTheory.Limits.Cofork.π.{u1, u2} C _inst_1 X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (OfNat.mk.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (Zero.zero.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.hasZero.{u1, u2} C _inst_1 _inst_2 X Y)))) s) (CategoryTheory.Limits.IsCokernel.ofIsoComp._proof_1.{u2, u1} C _inst_1 _inst_2 X Y f Z l i h s)))
 but is expected to have type
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) {Z : C} (l : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Z Y) (i : CategoryTheory.Iso.{u1, u2} C _inst_1 X Z) (h : Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Z Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Z i) l) f) {s : CategoryTheory.Limits.CokernelCofork.{u1, u2} C _inst_1 _inst_2 X Y f}, (CategoryTheory.Limits.IsColimit.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Y)))) s) -> (CategoryTheory.Limits.IsColimit.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 Z (Prefunctor.obj.{1, succ u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.CategoryStruct.toQuiver.{0, 0} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Category.toCategoryStruct.{0, 0} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Y))))) CategoryTheory.Limits.WalkingParallelPair.one) l (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C 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s))) CategoryTheory.Limits.WalkingParallelPair.one))))) (eq_self.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Z (CategoryTheory.Limits.Cocone.pt.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (CategoryTheory.Limits.parallelPair.{u1, u2} C _inst_1 X Y f (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Y)))) s)) (OfNat.ofNat.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C 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+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) {Z : C} (l : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Z Y) (i : CategoryTheory.Iso.{u1, u2} C _inst_1 X Z) (h : Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.CategoryStruct.comp.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1) X Z Y (CategoryTheory.Iso.hom.{u1, u2} C _inst_1 X Z i) l) f) {s : CategoryTheory.Limits.CokernelCofork.{u1, u2} C _inst_1 _inst_2 X Y f}, (CategoryTheory.Limits.IsColimit.{0, u1, 0, u2} 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_inst_1)) X Y) 0 (Zero.toOfNat0.{u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 X Y)))) s))) CategoryTheory.Limits.WalkingParallelPair.one)) (CategoryTheory.Limits.HasZeroMorphisms.Zero.{u1, u2} C _inst_1 _inst_2 Z (Prefunctor.obj.{1, succ u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.CategoryStruct.toQuiver.{0, 0} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Category.toCategoryStruct.{0, 0} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{0, u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory C _inst_1 (Prefunctor.obj.{succ 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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_cokernel.of_iso_comp CategoryTheory.Limits.IsCokernel.ofIsoCompₓ'. -/
 /-- If `i` is an isomorphism such that `i.hom ≫ l = f`, then any cokernel of `f` is a cokernel of
     `l`. -/

69c6a5a1

bump to nightly-2023-04-24-06

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

ff662d55

Diff

@@ -1536,7 +1536,7 @@ class HasCokernels : Prop where
 #align category_theory.limits.has_cokernels CategoryTheory.Limits.HasCokernels
 -/
 
-attribute [instance] has_kernels.has_limit has_cokernels.has_colimit
+attribute [instance 100] has_kernels.has_limit has_cokernels.has_colimit
 
 #print CategoryTheory.Limits.hasKernels_of_hasEqualizers /-
 instance (priority := 100) hasKernels_of_hasEqualizers [HasEqualizers C] : HasKernels C where

69c6a5a1

bump to nightly-2023-03-17-00

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

c85864d4

Diff

@@ -596,7 +596,7 @@ def kernel.isLimitConeZeroCone [Mono f] : IsLimit (kernel.zeroKernelFork f) :=
   Fork.IsLimit.mk _ (fun s => 0)
     (fun s => by
       erw [zero_comp]
-      convert (zero_of_comp_mono f _).symm
+      convert(zero_of_comp_mono f _).symm
       exact kernel_fork.condition _)
     fun _ _ _ => zero_of_to_zero _
 #align category_theory.limits.kernel.is_limit_cone_zero_cone CategoryTheory.Limits.kernel.isLimitConeZeroCone
@@ -1205,7 +1205,7 @@ def cokernel.isColimitCoconeZeroCocone [Epi f] : IsColimit (cokernel.zeroCokerne
   Cofork.IsColimit.mk _ (fun s => 0)
     (fun s => by
       erw [zero_comp]
-      convert (zero_of_epi_comp f _).symm
+      convert(zero_of_epi_comp f _).symm
       exact cokernel_cofork.condition _)
     fun _ _ _ => zero_of_from_zero _
 #align category_theory.limits.cokernel.is_colimit_cocone_zero_cocone CategoryTheory.Limits.cokernel.isColimitCoconeZeroCocone

69c6a5a1

bump to nightly-2023-03-14-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/2196ab363eb097c008d4497125e0dde23fb36db2

d4b38a42

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison, Markus Himmel
 
 ! This file was ported from Lean 3 source module category_theory.limits.shapes.kernels
-! leanprover-community/mathlib commit 956af7c76589f444f2e1313911bad16366ea476d
+! leanprover-community/mathlib commit 69c6a5a12d8a2b159f20933e60115a4f2de62b58
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.CategoryTheory.Limits.Preserves.Shapes.Zero
 /-!
 # Kernels and cokernels
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In a category with zero morphisms, the kernel of a morphism `f : X ⟶ Y` is
 the equalizer of `f` and `0 : X ⟶ Y`. (Similarly the cokernel is the coequalizer.)

956af7c7

bump to nightly-2023-03-08-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/38f16f960f5006c6c0c2bac7b0aba5273188f4e5

10f15343

Diff

@@ -65,42 +65,68 @@ variable {C : Type u} [Category.{v} C]
 
 variable [HasZeroMorphisms C]
 
+#print CategoryTheory.Limits.HasKernel /-
 /-- A morphism `f` has a kernel if the functor `parallel_pair f 0` has a limit. -/
 abbrev HasKernel {X Y : C} (f : X ⟶ Y) : Prop :=
   HasLimit (parallelPair f 0)
 #align category_theory.limits.has_kernel CategoryTheory.Limits.HasKernel
+-/
 
+#print CategoryTheory.Limits.HasCokernel /-
 /-- A morphism `f` has a cokernel if the functor `parallel_pair f 0` has a colimit. -/
 abbrev HasCokernel {X Y : C} (f : X ⟶ Y) : Prop :=
   HasColimit (parallelPair f 0)
 #align category_theory.limits.has_cokernel CategoryTheory.Limits.HasCokernel
+-/
 
 variable {X Y : C} (f : X ⟶ Y)
 
 section
 
+#print CategoryTheory.Limits.KernelFork /-
 /-- A kernel fork is just a fork where the second morphism is a zero morphism. -/
 abbrev KernelFork :=
   Fork f 0
 #align category_theory.limits.kernel_fork CategoryTheory.Limits.KernelFork
+-/
 
 variable {f}
 
+/- warning: category_theory.limits.kernel_fork.condition -> CategoryTheory.Limits.KernelFork.condition is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_fork.condition CategoryTheory.Limits.KernelFork.conditionₓ'. -/
 @[simp, reassoc.1]
 theorem KernelFork.condition (s : KernelFork f) : Fork.ι s ≫ f = 0 := by
   erw [fork.condition, has_zero_morphisms.comp_zero]
 #align category_theory.limits.kernel_fork.condition CategoryTheory.Limits.KernelFork.condition
 
+/- warning: category_theory.limits.kernel_fork.app_one -> CategoryTheory.Limits.KernelFork.app_one is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_fork.app_one CategoryTheory.Limits.KernelFork.app_oneₓ'. -/
 @[simp]
 theorem KernelFork.app_one (s : KernelFork f) : s.π.app one = 0 := by
   simp [fork.app_one_eq_ι_comp_right]
 #align category_theory.limits.kernel_fork.app_one CategoryTheory.Limits.KernelFork.app_one
 
+#print CategoryTheory.Limits.KernelFork.ofι /-
 /-- A morphism `ι` satisfying `ι ≫ f = 0` determines a kernel fork over `f`. -/
 abbrev KernelFork.ofι {Z : C} (ι : Z ⟶ X) (w : ι ≫ f = 0) : KernelFork f :=
   Fork.ofι ι <| by rw [w, has_zero_morphisms.comp_zero]
 #align category_theory.limits.kernel_fork.of_ι CategoryTheory.Limits.KernelFork.ofι
+-/
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_fork.ι_of_ι CategoryTheory.Limits.KernelFork.ι_ofιₓ'. -/
 @[simp]
 theorem KernelFork.ι_ofι {X Y P : C} (f : X ⟶ Y) (ι : P ⟶ X) (w : ι ≫ f = 0) :
     Fork.ι (KernelFork.ofι ι w) = ι :=
@@ -111,17 +137,27 @@ section
 
 attribute [local tidy] tactic.case_bash
 
+#print CategoryTheory.Limits.isoOfι /-
 /-- Every kernel fork `s` is isomorphic (actually, equal) to `fork.of_ι (fork.ι s) _`. -/
 def isoOfι (s : Fork f 0) : s ≅ Fork.ofι (Fork.ι s) (Fork.condition s) :=
   Cones.ext (Iso.refl _) <| by tidy
 #align category_theory.limits.iso_of_ι CategoryTheory.Limits.isoOfι
+-/
 
+#print CategoryTheory.Limits.ofιCongr /-
 /-- If `ι = ι'`, then `fork.of_ι ι _` and `fork.of_ι ι' _` are isomorphic. -/
 def ofιCongr {P : C} {ι ι' : P ⟶ X} {w : ι ≫ f = 0} (h : ι = ι') :
     KernelFork.ofι ι w ≅ KernelFork.ofι ι' (by rw [← h, w]) :=
   Cones.ext (Iso.refl _) <| by tidy
 #align category_theory.limits.of_ι_congr CategoryTheory.Limits.ofιCongr
+-/
 
+/- warning: category_theory.limits.comp_nat_iso -> CategoryTheory.Limits.compNatIso is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.comp_nat_iso CategoryTheory.Limits.compNatIsoₓ'. -/
 /-- If `F` is an equivalence, then applying `F` to a diagram indexing a (co)kernel of `f` yields
     the diagram indexing the (co)kernel of `F.map f`. -/
 def compNatIso {D : Type u'} [Category.{v} D] [HasZeroMorphisms D] (F : C ⥤ D) [IsEquivalence F] :
@@ -135,6 +171,12 @@ def compNatIso {D : Type u'} [Category.{v} D] [HasZeroMorphisms D] (F : C ⥤ D)
 
 end
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_fork.is_limit.lift' CategoryTheory.Limits.KernelFork.IsLimit.lift'ₓ'. -/
 /-- If `s` is a limit kernel fork and `k : W ⟶ X` satisfies ``k ≫ f = 0`, then there is some
     `l : W ⟶ s.X` such that `l ≫ fork.ι s = k`. -/
 def KernelFork.IsLimit.lift' {s : KernelFork f} (hs : IsLimit s) {W : C} (k : W ⟶ X)
@@ -142,6 +184,12 @@ def KernelFork.IsLimit.lift' {s : KernelFork f} (hs : IsLimit s) {W : C} (k : W
   ⟨hs.lift <| KernelFork.ofι _ h, hs.fac _ _⟩
 #align category_theory.limits.kernel_fork.is_limit.lift' CategoryTheory.Limits.KernelFork.IsLimit.lift'
 
+/- warning: category_theory.limits.is_limit_aux -> CategoryTheory.Limits.isLimitAux is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_limit_aux CategoryTheory.Limits.isLimitAuxₓ'. -/
 /-- This is a slightly more convenient method to verify that a kernel fork is a limit cone. It
     only asks for a proof of facts that carry any mathematical content -/
 def isLimitAux (t : KernelFork f) (lift : ∀ s : KernelFork f, s.pt ⟶ t.pt)
@@ -155,6 +203,7 @@ def isLimitAux (t : KernelFork f) (lift : ∀ s : KernelFork f, s.pt ⟶ t.pt)
     uniq := fun s m w => uniq s m (w Limits.WalkingParallelPair.zero) }
 #align category_theory.limits.is_limit_aux CategoryTheory.Limits.isLimitAux
 
+#print CategoryTheory.Limits.KernelFork.IsLimit.ofι /-
 /-- This is a more convenient formulation to show that a `kernel_fork` constructed using
 `kernel_fork.of_ι` is a limit cone.
 -/
@@ -167,7 +216,14 @@ def KernelFork.IsLimit.ofι {W : C} (g : W ⟶ X) (eq : g ≫ f = 0)
   isLimitAux _ (fun s => lift s.ι s.condition) (fun s => fac s.ι s.condition) fun s =>
     uniq s.ι s.condition
 #align category_theory.limits.kernel_fork.is_limit.of_ι CategoryTheory.Limits.KernelFork.IsLimit.ofι
+-/
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_kernel_comp_mono CategoryTheory.Limits.isKernelCompMonoₓ'. -/
 /-- Every kernel of `f` induces a kernel of `f ≫ g` if `g` is mono. -/
 def isKernelCompMono {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg : Mono g] {h : X ⟶ Z}
     (hh : h = f ≫ g) : IsLimit (KernelFork.ofι c.ι (by simp [hh]) : KernelFork h) :=
@@ -178,6 +234,12 @@ def isKernelCompMono {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg :
       apply fork.is_limit.hom_ext i <;> rw [fork.ι_of_ι] at hm <;> rw [hm] <;> exact l.2.symm⟩
 #align category_theory.limits.is_kernel_comp_mono CategoryTheory.Limits.isKernelCompMono
 
+/- warning: category_theory.limits.is_kernel_comp_mono_lift -> CategoryTheory.Limits.isKernelCompMono_lift is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_kernel_comp_mono_lift CategoryTheory.Limits.isKernelCompMono_liftₓ'. -/
 theorem isKernelCompMono_lift {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg : Mono g]
     {h : X ⟶ Z} (hh : h = f ≫ g) (s : KernelFork h) :
     (isKernelCompMono i g hh).lift s =
@@ -189,6 +251,12 @@ theorem isKernelCompMono_lift {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶
   rfl
 #align category_theory.limits.is_kernel_comp_mono_lift CategoryTheory.Limits.isKernelCompMono_lift
 
+/- warning: category_theory.limits.is_kernel_of_comp -> CategoryTheory.Limits.isKernelOfComp is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_kernel_of_comp CategoryTheory.Limits.isKernelOfCompₓ'. -/
 /-- Every kernel of `f ≫ g` is also a kernel of `f`, as long as `c.ι ≫ f` vanishes. -/
 def isKernelOfComp {W : C} (g : Y ⟶ W) (h : X ⟶ W) {c : KernelFork h} (i : IsLimit c)
     (hf : c.ι ≫ f = 0) (hfg : f ≫ g = h) : IsLimit (KernelFork.ofι c.ι hf) :=
@@ -205,68 +273,91 @@ section
 
 variable [HasKernel f]
 
+#print CategoryTheory.Limits.kernel /-
 /-- The kernel of a morphism, expressed as the equalizer with the 0 morphism. -/
 abbrev kernel : C :=
   equalizer f 0
 #align category_theory.limits.kernel CategoryTheory.Limits.kernel
+-/
 
+#print CategoryTheory.Limits.kernel.ι /-
 /-- The map from `kernel f` into the source of `f`. -/
 abbrev kernel.ι : kernel f ⟶ X :=
   equalizer.ι f 0
 #align category_theory.limits.kernel.ι CategoryTheory.Limits.kernel.ι
+-/
 
+#print CategoryTheory.Limits.equalizer_as_kernel /-
 @[simp]
 theorem equalizer_as_kernel : equalizer.ι f 0 = kernel.ι f :=
   rfl
 #align category_theory.limits.equalizer_as_kernel CategoryTheory.Limits.equalizer_as_kernel
+-/
 
+#print CategoryTheory.Limits.kernel.condition /-
 @[simp, reassoc.1]
 theorem kernel.condition : kernel.ι f ≫ f = 0 :=
   KernelFork.condition _
 #align category_theory.limits.kernel.condition CategoryTheory.Limits.kernel.condition
+-/
 
+#print CategoryTheory.Limits.kernelIsKernel /-
 /-- The kernel built from `kernel.ι f` is limiting. -/
 def kernelIsKernel : IsLimit (Fork.ofι (kernel.ι f) ((kernel.condition f).trans comp_zero.symm)) :=
   IsLimit.ofIsoLimit (limit.isLimit _) (Fork.ext (Iso.refl _) (by tidy))
 #align category_theory.limits.kernel_is_kernel CategoryTheory.Limits.kernelIsKernel
+-/
 
+#print CategoryTheory.Limits.kernel.lift /-
 /-- Given any morphism `k : W ⟶ X` satisfying `k ≫ f = 0`, `k` factors through `kernel.ι f`
     via `kernel.lift : W ⟶ kernel f`. -/
 abbrev kernel.lift {W : C} (k : W ⟶ X) (h : k ≫ f = 0) : W ⟶ kernel f :=
   (kernelIsKernel f).lift (KernelFork.ofι k h)
 #align category_theory.limits.kernel.lift CategoryTheory.Limits.kernel.lift
+-/
 
+#print CategoryTheory.Limits.kernel.lift_ι /-
 @[simp, reassoc.1]
 theorem kernel.lift_ι {W : C} (k : W ⟶ X) (h : k ≫ f = 0) : kernel.lift f k h ≫ kernel.ι f = k :=
   (kernelIsKernel f).fac (KernelFork.ofι k h) WalkingParallelPair.zero
 #align category_theory.limits.kernel.lift_ι CategoryTheory.Limits.kernel.lift_ι
+-/
 
+#print CategoryTheory.Limits.kernel.lift_zero /-
 @[simp]
 theorem kernel.lift_zero {W : C} {h} : kernel.lift f (0 : W ⟶ X) h = 0 :=
   by
   ext
   simp
 #align category_theory.limits.kernel.lift_zero CategoryTheory.Limits.kernel.lift_zero
+-/
 
+#print CategoryTheory.Limits.kernel.lift_mono /-
 instance kernel.lift_mono {W : C} (k : W ⟶ X) (h : k ≫ f = 0) [Mono k] : Mono (kernel.lift f k h) :=
   ⟨fun Z g g' w => by
     replace w := w =≫ kernel.ι f
     simp only [category.assoc, kernel.lift_ι] at w
     exact (cancel_mono k).1 w⟩
 #align category_theory.limits.kernel.lift_mono CategoryTheory.Limits.kernel.lift_mono
+-/
 
+#print CategoryTheory.Limits.kernel.lift' /-
 /-- Any morphism `k : W ⟶ X` satisfying `k ≫ f = 0` induces a morphism `l : W ⟶ kernel f` such that
     `l ≫ kernel.ι f = k`. -/
 def kernel.lift' {W : C} (k : W ⟶ X) (h : k ≫ f = 0) : { l : W ⟶ kernel f // l ≫ kernel.ι f = k } :=
   ⟨kernel.lift f k h, kernel.lift_ι _ _ _⟩
 #align category_theory.limits.kernel.lift' CategoryTheory.Limits.kernel.lift'
+-/
 
+#print CategoryTheory.Limits.kernel.map /-
 /-- A commuting square induces a morphism of kernels. -/
 abbrev kernel.map {X' Y' : C} (f' : X' ⟶ Y') [HasKernel f'] (p : X ⟶ X') (q : Y ⟶ Y')
     (w : f ≫ q = p ≫ f') : kernel f ⟶ kernel f' :=
   kernel.lift f' (kernel.ι f ≫ p) (by simp [← w])
 #align category_theory.limits.kernel.map CategoryTheory.Limits.kernel.map
+-/
 
+#print CategoryTheory.Limits.kernel.lift_map /-
 /-- Given a commutative diagram
     X --f--> Y --g--> Z
     |        |        |
@@ -290,7 +381,9 @@ theorem kernel.lift_map {X Y Z X' Y' Z' : C} (f : X ⟶ Y) (g : Y ⟶ Z) [HasKer
   ext
   simp [h₁]
 #align category_theory.limits.kernel.lift_map CategoryTheory.Limits.kernel.lift_map
+-/
 
+#print CategoryTheory.Limits.kernel.mapIso /-
 /-- A commuting square of isomorphisms induces an isomorphism of kernels. -/
 @[simps]
 def kernel.mapIso {X' Y' : C} (f' : X' ⟶ Y') [HasKernel f'] (p : X ≅ X') (q : Y ≅ Y')
@@ -303,26 +396,36 @@ def kernel.mapIso {X' Y' : C} (f' : X' ⟶ Y') [HasKernel f'] (p : X ≅ X') (q
         refine' (cancel_mono q.hom).1 _
         simp [w])
 #align category_theory.limits.kernel.map_iso CategoryTheory.Limits.kernel.mapIso
+-/
 
+#print CategoryTheory.Limits.kernel.ι_zero_isIso /-
 /-- Every kernel of the zero morphism is an isomorphism -/
 instance kernel.ι_zero_isIso : IsIso (kernel.ι (0 : X ⟶ Y)) :=
   equalizer.ι_of_self _
 #align category_theory.limits.kernel.ι_zero_is_iso CategoryTheory.Limits.kernel.ι_zero_isIso
+-/
 
+#print CategoryTheory.Limits.eq_zero_of_epi_kernel /-
 theorem eq_zero_of_epi_kernel [Epi (kernel.ι f)] : f = 0 :=
   (cancel_epi (kernel.ι f)).1 (by simp)
 #align category_theory.limits.eq_zero_of_epi_kernel CategoryTheory.Limits.eq_zero_of_epi_kernel
+-/
 
+#print CategoryTheory.Limits.kernelZeroIsoSource /-
 /-- The kernel of a zero morphism is isomorphic to the source. -/
 def kernelZeroIsoSource : kernel (0 : X ⟶ Y) ≅ X :=
   equalizer.isoSourceOfSelf 0
 #align category_theory.limits.kernel_zero_iso_source CategoryTheory.Limits.kernelZeroIsoSource
+-/
 
+#print CategoryTheory.Limits.kernelZeroIsoSource_hom /-
 @[simp]
 theorem kernelZeroIsoSource_hom : kernelZeroIsoSource.Hom = kernel.ι (0 : X ⟶ Y) :=
   rfl
 #align category_theory.limits.kernel_zero_iso_source_hom CategoryTheory.Limits.kernelZeroIsoSource_hom
+-/
 
+#print CategoryTheory.Limits.kernelZeroIsoSource_inv /-
 @[simp]
 theorem kernelZeroIsoSource_inv :
     kernelZeroIsoSource.inv = kernel.lift (0 : X ⟶ Y) (𝟙 X) (by simp) :=
@@ -330,19 +433,25 @@ theorem kernelZeroIsoSource_inv :
   ext
   simp [kernel_zero_iso_source]
 #align category_theory.limits.kernel_zero_iso_source_inv CategoryTheory.Limits.kernelZeroIsoSource_inv
+-/
 
+#print CategoryTheory.Limits.kernelIsoOfEq /-
 /-- If two morphisms are known to be equal, then their kernels are isomorphic. -/
 def kernelIsoOfEq {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h : f = g) : kernel f ≅ kernel g :=
   HasLimit.isoOfNatIso (by simp [h])
 #align category_theory.limits.kernel_iso_of_eq CategoryTheory.Limits.kernelIsoOfEq
+-/
 
+#print CategoryTheory.Limits.kernelIsoOfEq_refl /-
 @[simp]
 theorem kernelIsoOfEq_refl {h : f = f} : kernelIsoOfEq h = Iso.refl (kernel f) :=
   by
   ext
   simp [kernel_iso_of_eq]
 #align category_theory.limits.kernel_iso_of_eq_refl CategoryTheory.Limits.kernelIsoOfEq_refl
+-/
 
+#print CategoryTheory.Limits.kernelIsoOfEq_hom_comp_ι /-
 @[simp, reassoc.1]
 theorem kernelIsoOfEq_hom_comp_ι {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h : f = g) :
     (kernelIsoOfEq h).Hom ≫ kernel.ι _ = kernel.ι _ :=
@@ -350,7 +459,9 @@ theorem kernelIsoOfEq_hom_comp_ι {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h
   induction h
   simp
 #align category_theory.limits.kernel_iso_of_eq_hom_comp_ι CategoryTheory.Limits.kernelIsoOfEq_hom_comp_ι
+-/
 
+#print CategoryTheory.Limits.kernelIsoOfEq_inv_comp_ι /-
 @[simp, reassoc.1]
 theorem kernelIsoOfEq_inv_comp_ι {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h : f = g) :
     (kernelIsoOfEq h).inv ≫ kernel.ι _ = kernel.ι _ :=
@@ -358,7 +469,9 @@ theorem kernelIsoOfEq_inv_comp_ι {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h
   induction h
   simp
 #align category_theory.limits.kernel_iso_of_eq_inv_comp_ι CategoryTheory.Limits.kernelIsoOfEq_inv_comp_ι
+-/
 
+#print CategoryTheory.Limits.lift_comp_kernelIsoOfEq_hom /-
 @[simp, reassoc.1]
 theorem lift_comp_kernelIsoOfEq_hom {Z} {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h : f = g)
     (e : Z ⟶ X) (he) :
@@ -367,7 +480,9 @@ theorem lift_comp_kernelIsoOfEq_hom {Z} {f g : X ⟶ Y} [HasKernel f] [HasKernel
   induction h
   simp
 #align category_theory.limits.lift_comp_kernel_iso_of_eq_hom CategoryTheory.Limits.lift_comp_kernelIsoOfEq_hom
+-/
 
+#print CategoryTheory.Limits.lift_comp_kernelIsoOfEq_inv /-
 @[simp, reassoc.1]
 theorem lift_comp_kernelIsoOfEq_inv {Z} {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h : f = g)
     (e : Z ⟶ X) (he) :
@@ -376,7 +491,9 @@ theorem lift_comp_kernelIsoOfEq_inv {Z} {f g : X ⟶ Y} [HasKernel f] [HasKernel
   induction h
   simp
 #align category_theory.limits.lift_comp_kernel_iso_of_eq_inv CategoryTheory.Limits.lift_comp_kernelIsoOfEq_inv
+-/
 
+#print CategoryTheory.Limits.kernelIsoOfEq_trans /-
 @[simp]
 theorem kernelIsoOfEq_trans {f g h : X ⟶ Y} [HasKernel f] [HasKernel g] [HasKernel h] (w₁ : f = g)
     (w₂ : g = h) : kernelIsoOfEq w₁ ≪≫ kernelIsoOfEq w₂ = kernelIsoOfEq (w₁.trans w₂) :=
@@ -386,25 +503,33 @@ theorem kernelIsoOfEq_trans {f g h : X ⟶ Y} [HasKernel f] [HasKernel g] [HasKe
   ext
   simp [kernel_iso_of_eq]
 #align category_theory.limits.kernel_iso_of_eq_trans CategoryTheory.Limits.kernelIsoOfEq_trans
+-/
 
 variable {f}
 
+#print CategoryTheory.Limits.kernel_not_epi_of_nonzero /-
 theorem kernel_not_epi_of_nonzero (w : f ≠ 0) : ¬Epi (kernel.ι f) := fun I =>
   w (eq_zero_of_epi_kernel f)
 #align category_theory.limits.kernel_not_epi_of_nonzero CategoryTheory.Limits.kernel_not_epi_of_nonzero
+-/
 
+#print CategoryTheory.Limits.kernel_not_iso_of_nonzero /-
 theorem kernel_not_iso_of_nonzero (w : f ≠ 0) : IsIso (kernel.ι f) → False := fun I =>
   kernel_not_epi_of_nonzero w <| by
     skip
     infer_instance
 #align category_theory.limits.kernel_not_iso_of_nonzero CategoryTheory.Limits.kernel_not_iso_of_nonzero
+-/
 
+#print CategoryTheory.Limits.hasKernel_comp_mono /-
 instance hasKernel_comp_mono {X Y Z : C} (f : X ⟶ Y) [HasKernel f] (g : Y ⟶ Z) [Mono g] :
     HasKernel (f ≫ g) :=
   ⟨⟨{   Cone := _
         IsLimit := isKernelCompMono (limit.isLimit _) g rfl }⟩⟩
 #align category_theory.limits.has_kernel_comp_mono CategoryTheory.Limits.hasKernel_comp_mono
+-/
 
+#print CategoryTheory.Limits.kernelCompMono /-
 /-- When `g` is a monomorphism, the kernel of `f ≫ g` is isomorphic to the kernel of `f`.
 -/
 @[simps]
@@ -418,7 +543,9 @@ def kernelCompMono {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [HasKernel f] [Mono g
         simp)
   inv := kernel.lift _ (kernel.ι _) (by simp)
 #align category_theory.limits.kernel_comp_mono CategoryTheory.Limits.kernelCompMono
+-/
 
+#print CategoryTheory.Limits.hasKernel_iso_comp /-
 instance hasKernel_iso_comp {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [IsIso f] [HasKernel g] :
     HasKernel (f ≫ g)
     where exists_limit :=
@@ -430,7 +557,9 @@ instance hasKernel_iso_comp {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [IsIso f] [H
             ext
             simp }⟩
 #align category_theory.limits.has_kernel_iso_comp CategoryTheory.Limits.hasKernel_iso_comp
+-/
 
+#print CategoryTheory.Limits.kernelIsIsoComp /-
 /-- When `f` is an isomorphism, the kernel of `f ≫ g` is isomorphic to the kernel of `g`.
 -/
 @[simps]
@@ -440,6 +569,7 @@ def kernelIsIsoComp {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [IsIso f] [HasKernel
   Hom := kernel.lift _ (kernel.ι _ ≫ f) (by simp)
   inv := kernel.lift _ (kernel.ι _ ≫ inv f) (by simp)
 #align category_theory.limits.kernel_is_iso_comp CategoryTheory.Limits.kernelIsIsoComp
+-/
 
 end
 
@@ -449,12 +579,15 @@ variable [HasZeroObject C]
 
 open ZeroObject
 
+#print CategoryTheory.Limits.kernel.zeroKernelFork /-
 /-- The morphism from the zero object determines a cone on a kernel diagram -/
 def kernel.zeroKernelFork : KernelFork f where
   pt := 0
   π := { app := fun j => 0 }
 #align category_theory.limits.kernel.zero_kernel_fork CategoryTheory.Limits.kernel.zeroKernelFork
+-/
 
+#print CategoryTheory.Limits.kernel.isLimitConeZeroCone /-
 /-- The map from the zero object is a kernel of a monomorphism -/
 def kernel.isLimitConeZeroCone [Mono f] : IsLimit (kernel.zeroKernelFork f) :=
   Fork.IsLimit.mk _ (fun s => 0)
@@ -464,18 +597,24 @@ def kernel.isLimitConeZeroCone [Mono f] : IsLimit (kernel.zeroKernelFork f) :=
       exact kernel_fork.condition _)
     fun _ _ _ => zero_of_to_zero _
 #align category_theory.limits.kernel.is_limit_cone_zero_cone CategoryTheory.Limits.kernel.isLimitConeZeroCone
+-/
 
+#print CategoryTheory.Limits.kernel.ofMono /-
 /-- The kernel of a monomorphism is isomorphic to the zero object -/
 def kernel.ofMono [HasKernel f] [Mono f] : kernel f ≅ 0 :=
   Functor.mapIso (Cones.forget _) <|
     IsLimit.uniqueUpToIso (limit.isLimit (parallelPair f 0)) (kernel.isLimitConeZeroCone f)
 #align category_theory.limits.kernel.of_mono CategoryTheory.Limits.kernel.ofMono
+-/
 
+#print CategoryTheory.Limits.kernel.ι_of_mono /-
 /-- The kernel morphism of a monomorphism is a zero morphism -/
 theorem kernel.ι_of_mono [HasKernel f] [Mono f] : kernel.ι f = 0 :=
   zero_of_source_iso_zero _ (kernel.ofMono f)
 #align category_theory.limits.kernel.ι_of_mono CategoryTheory.Limits.kernel.ι_of_mono
+-/
 
+#print CategoryTheory.Limits.zeroKernelOfCancelZero /-
 /-- If `g ≫ f = 0` implies `g = 0` for all `g`, then `0 : 0 ⟶ X` is a kernel of `f`. -/
 def zeroKernelOfCancelZero {X Y : C} (f : X ⟶ Y)
     (hf : ∀ (Z : C) (g : Z ⟶ X) (hgf : g ≫ f = 0), g = 0) :
@@ -483,11 +622,18 @@ def zeroKernelOfCancelZero {X Y : C} (f : X ⟶ Y)
   Fork.IsLimit.mk _ (fun s => 0) (fun s => by rw [hf _ _ (kernel_fork.condition s), zero_comp])
     fun s m h => by ext
 #align category_theory.limits.zero_kernel_of_cancel_zero CategoryTheory.Limits.zeroKernelOfCancelZero
+-/
 
 end HasZeroObject
 
 section Transport
 
+/- warning: category_theory.limits.is_kernel.of_comp_iso -> CategoryTheory.Limits.IsKernel.ofCompIso is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_kernel.of_comp_iso CategoryTheory.Limits.IsKernel.ofCompIsoₓ'. -/
 /-- If `i` is an isomorphism such that `l ≫ i.hom = f`, then any kernel of `f` is a kernel of `l`.-/
 def IsKernel.ofCompIso {Z : C} (l : X ⟶ Z) (i : Z ≅ Y) (h : l ≫ i.Hom = f) {s : KernelFork f}
     (hs : IsLimit s) :
@@ -500,13 +646,21 @@ def IsKernel.ofCompIso {Z : C} (l : X ⟶ Z) (i : Z ≅ Y) (h : l ≫ i.Hom = f)
     simpa using h
 #align category_theory.limits.is_kernel.of_comp_iso CategoryTheory.Limits.IsKernel.ofCompIso
 
+#print CategoryTheory.Limits.kernel.ofCompIso /-
 /-- If `i` is an isomorphism such that `l ≫ i.hom = f`, then the kernel of `f` is a kernel of `l`.-/
 def kernel.ofCompIso [HasKernel f] {Z : C} (l : X ⟶ Z) (i : Z ≅ Y) (h : l ≫ i.Hom = f) :
     IsLimit
       (KernelFork.ofι (kernel.ι f) <| show kernel.ι f ≫ l = 0 by simp [← i.comp_inv_eq.2 h.symm]) :=
   IsKernel.ofCompIso f l i h <| limit.isLimit _
 #align category_theory.limits.kernel.of_comp_iso CategoryTheory.Limits.kernel.ofCompIso
+-/
 
+/- warning: category_theory.limits.is_kernel.iso_kernel -> CategoryTheory.Limits.IsKernel.isoKernel is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_kernel.iso_kernel CategoryTheory.Limits.IsKernel.isoKernelₓ'. -/
 /-- If `s` is any limit kernel cone over `f` and if  `i` is an isomorphism such that
     `i.hom ≫ s.ι  = l`, then `l` is a kernel of `f`. -/
 def IsKernel.isoKernel {Z : C} (l : Z ⟶ X) {s : KernelFork f} (hs : IsLimit s) (i : Z ≅ s.pt)
@@ -518,11 +672,13 @@ def IsKernel.isoKernel {Z : C} (l : Z ⟶ X) {s : KernelFork f} (hs : IsLimit s)
       · simp
 #align category_theory.limits.is_kernel.iso_kernel CategoryTheory.Limits.IsKernel.isoKernel
 
+#print CategoryTheory.Limits.kernel.isoKernel /-
 /-- If `i` is an isomorphism such that `i.hom ≫ kernel.ι f = l`, then `l` is a kernel of `f`. -/
 def kernel.isoKernel [HasKernel f] {Z : C} (l : Z ⟶ X) (i : Z ≅ kernel f)
     (h : i.Hom ≫ kernel.ι f = l) : IsLimit (KernelFork.ofι l <| by simp [← h]) :=
   IsKernel.isoKernel f l (limit.isLimit _) i h
 #align category_theory.limits.kernel.iso_kernel CategoryTheory.Limits.kernel.isoKernel
+-/
 
 end Transport
 
@@ -530,54 +686,88 @@ section
 
 variable (X Y)
 
+#print CategoryTheory.Limits.kernel.ι_of_zero /-
 /-- The kernel morphism of a zero morphism is an isomorphism -/
 theorem kernel.ι_of_zero : IsIso (kernel.ι (0 : X ⟶ Y)) :=
   equalizer.ι_of_self _
 #align category_theory.limits.kernel.ι_of_zero CategoryTheory.Limits.kernel.ι_of_zero
+-/
 
 end
 
 section
 
+#print CategoryTheory.Limits.CokernelCofork /-
 /-- A cokernel cofork is just a cofork where the second morphism is a zero morphism. -/
 abbrev CokernelCofork :=
   Cofork f 0
 #align category_theory.limits.cokernel_cofork CategoryTheory.Limits.CokernelCofork
+-/
 
 variable {f}
 
+/- warning: category_theory.limits.cokernel_cofork.condition -> CategoryTheory.Limits.CokernelCofork.condition is a dubious translation:
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s))) CategoryTheory.Limits.WalkingParallelPair.one))))
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_cofork.condition CategoryTheory.Limits.CokernelCofork.conditionₓ'. -/
 @[simp, reassoc.1]
 theorem CokernelCofork.condition (s : CokernelCofork f) : f ≫ s.π = 0 := by
   rw [cofork.condition, zero_comp]
 #align category_theory.limits.cokernel_cofork.condition CategoryTheory.Limits.CokernelCofork.condition
 
+/- warning: category_theory.limits.cokernel_cofork.π_eq_zero -> CategoryTheory.Limits.CokernelCofork.π_eq_zero is a dubious translation:
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+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] {X : C} {Y : C} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y} (s : CategoryTheory.Limits.CokernelCofork.{u1, u2} C _inst_1 _inst_2 X Y f), Eq.{succ u1} (Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (Prefunctor.obj.{1, succ u1, 0, u2} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.CategoryStruct.toQuiver.{0, 0} CategoryTheory.Limits.WalkingParallelPair (CategoryTheory.Category.toCategoryStruct.{0, 0} CategoryTheory.Limits.WalkingParallelPair CategoryTheory.Limits.walkingParallelPairHomCategory)) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) 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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_cofork.π_eq_zero CategoryTheory.Limits.CokernelCofork.π_eq_zeroₓ'. -/
 @[simp]
 theorem CokernelCofork.π_eq_zero (s : CokernelCofork f) : s.ι.app zero = 0 := by
   simp [cofork.app_zero_eq_comp_π_right]
 #align category_theory.limits.cokernel_cofork.π_eq_zero CategoryTheory.Limits.CokernelCofork.π_eq_zero
 
+#print CategoryTheory.Limits.CokernelCofork.ofπ /-
 /-- A morphism `π` satisfying `f ≫ π = 0` determines a cokernel cofork on `f`. -/
 abbrev CokernelCofork.ofπ {Z : C} (π : Y ⟶ Z) (w : f ≫ π = 0) : CokernelCofork f :=
   Cofork.ofπ π <| by rw [w, zero_comp]
 #align category_theory.limits.cokernel_cofork.of_π CategoryTheory.Limits.CokernelCofork.ofπ
+-/
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_cofork.π_of_π CategoryTheory.Limits.CokernelCofork.π_ofπₓ'. -/
 @[simp]
 theorem CokernelCofork.π_ofπ {X Y P : C} (f : X ⟶ Y) (π : Y ⟶ P) (w : f ≫ π = 0) :
     Cofork.π (CokernelCofork.ofπ π w) = π :=
   rfl
 #align category_theory.limits.cokernel_cofork.π_of_π CategoryTheory.Limits.CokernelCofork.π_ofπ
 
+#print CategoryTheory.Limits.isoOfπ /-
 /-- Every cokernel cofork `s` is isomorphic (actually, equal) to `cofork.of_π (cofork.π s) _`. -/
 def isoOfπ (s : Cofork f 0) : s ≅ Cofork.ofπ (Cofork.π s) (Cofork.condition s) :=
   Cocones.ext (Iso.refl _) fun j => by cases j <;> tidy
 #align category_theory.limits.iso_of_π CategoryTheory.Limits.isoOfπ
+-/
 
+#print CategoryTheory.Limits.ofπCongr /-
 /-- If `π = π'`, then `cokernel_cofork.of_π π _` and `cokernel_cofork.of_π π' _` are isomorphic. -/
 def ofπCongr {P : C} {π π' : Y ⟶ P} {w : f ≫ π = 0} (h : π = π') :
     CokernelCofork.ofπ π w ≅ CokernelCofork.ofπ π' (by rw [← h, w]) :=
   Cocones.ext (Iso.refl _) fun j => by cases j <;> tidy
 #align category_theory.limits.of_π_congr CategoryTheory.Limits.ofπCongr
+-/
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_cofork.is_colimit.desc' CategoryTheory.Limits.CokernelCofork.IsColimit.desc'ₓ'. -/
 /-- If `s` is a colimit cokernel cofork, then every `k : Y ⟶ W` satisfying `f ≫ k = 0` induces
     `l : s.X ⟶ W` such that `cofork.π s ≫ l = k`. -/
 def CokernelCofork.IsColimit.desc' {s : CokernelCofork f} (hs : IsColimit s) {W : C} (k : Y ⟶ W)
@@ -585,6 +775,12 @@ def CokernelCofork.IsColimit.desc' {s : CokernelCofork f} (hs : IsColimit s) {W
   ⟨hs.desc <| CokernelCofork.ofπ _ h, hs.fac _ _⟩
 #align category_theory.limits.cokernel_cofork.is_colimit.desc' CategoryTheory.Limits.CokernelCofork.IsColimit.desc'
 
+/- warning: category_theory.limits.is_colimit_aux -> CategoryTheory.Limits.isColimitAux is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_colimit_aux CategoryTheory.Limits.isColimitAuxₓ'. -/
 /-- This is a slightly more convenient method to verify that a cokernel cofork is a colimit cocone.
 It only asks for a proof of facts that carry any mathematical content -/
 def isColimitAux (t : CokernelCofork f) (desc : ∀ s : CokernelCofork f, t.pt ⟶ s.pt)
@@ -599,6 +795,7 @@ def isColimitAux (t : CokernelCofork f) (desc : ∀ s : CokernelCofork f, t.pt 
     uniq := fun s m w => uniq s m (w Limits.WalkingParallelPair.one) }
 #align category_theory.limits.is_colimit_aux CategoryTheory.Limits.isColimitAux
 
+#print CategoryTheory.Limits.CokernelCofork.IsColimit.ofπ /-
 /-- This is a more convenient formulation to show that a `cokernel_cofork` constructed using
 `cokernel_cofork.of_π` is a limit cone.
 -/
@@ -611,7 +808,14 @@ def CokernelCofork.IsColimit.ofπ {Z : C} (g : Y ⟶ Z) (eq : f ≫ g = 0)
   isColimitAux _ (fun s => desc s.π s.condition) (fun s => fac s.π s.condition) fun s =>
     uniq s.π s.condition
 #align category_theory.limits.cokernel_cofork.is_colimit.of_π CategoryTheory.Limits.CokernelCofork.IsColimit.ofπ
+-/
 
+/- warning: category_theory.limits.is_cokernel_epi_comp -> CategoryTheory.Limits.isCokernelEpiComp is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_cokernel_epi_comp CategoryTheory.Limits.isCokernelEpiCompₓ'. -/
 /-- Every cokernel of `f` induces a cokernel of `g ≫ f` if `g` is epi. -/
 def isCokernelEpiComp {c : CokernelCofork f} (i : IsColimit c) {W} (g : W ⟶ X) [hg : Epi g]
     {h : W ⟶ Y} (hh : h = g ≫ f) :
@@ -628,6 +832,12 @@ def isCokernelEpiComp {c : CokernelCofork f} (i : IsColimit c) {W} (g : W ⟶ X)
       apply cofork.is_colimit.hom_ext i <;> rw [cofork.π_of_π] at hm <;> rw [hm] <;> exact l.2.symm⟩
 #align category_theory.limits.is_cokernel_epi_comp CategoryTheory.Limits.isCokernelEpiComp
 
+/- warning: category_theory.limits.is_cokernel_epi_comp_desc -> CategoryTheory.Limits.isCokernelEpiComp_desc is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_cokernel_epi_comp_desc CategoryTheory.Limits.isCokernelEpiComp_descₓ'. -/
 @[simp]
 theorem isCokernelEpiComp_desc {c : CokernelCofork f} (i : IsColimit c) {W} (g : W ⟶ X) [hg : Epi g]
     {h : W ⟶ Y} (hh : h = g ≫ f) (s : CokernelCofork h) :
@@ -640,6 +850,12 @@ theorem isCokernelEpiComp_desc {c : CokernelCofork f} (i : IsColimit c) {W} (g :
   rfl
 #align category_theory.limits.is_cokernel_epi_comp_desc CategoryTheory.Limits.isCokernelEpiComp_desc
 
+/- warning: category_theory.limits.is_cokernel_of_comp -> CategoryTheory.Limits.isCokernelOfComp is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_cokernel_of_comp CategoryTheory.Limits.isCokernelOfCompₓ'. -/
 /-- Every cokernel of `g ≫ f` is also a cokernel of `f`, as long as `f ≫ c.π` vanishes. -/
 def isCokernelOfComp {W : C} (g : W ⟶ X) (h : W ⟶ Y) {c : CokernelCofork h} (i : IsColimit c)
     (hf : f ≫ c.π = 0) (hfg : g ≫ f = h) : IsColimit (CokernelCofork.ofπ c.π hf) :=
@@ -656,51 +872,68 @@ section
 
 variable [HasCokernel f]
 
+#print CategoryTheory.Limits.cokernel /-
 /-- The cokernel of a morphism, expressed as the coequalizer with the 0 morphism. -/
 abbrev cokernel : C :=
   coequalizer f 0
 #align category_theory.limits.cokernel CategoryTheory.Limits.cokernel
+-/
 
+#print CategoryTheory.Limits.cokernel.π /-
 /-- The map from the target of `f` to `cokernel f`. -/
 abbrev cokernel.π : Y ⟶ cokernel f :=
   coequalizer.π f 0
 #align category_theory.limits.cokernel.π CategoryTheory.Limits.cokernel.π
+-/
 
+#print CategoryTheory.Limits.coequalizer_as_cokernel /-
 @[simp]
 theorem coequalizer_as_cokernel : coequalizer.π f 0 = cokernel.π f :=
   rfl
 #align category_theory.limits.coequalizer_as_cokernel CategoryTheory.Limits.coequalizer_as_cokernel
+-/
 
+#print CategoryTheory.Limits.cokernel.condition /-
 @[simp, reassoc.1]
 theorem cokernel.condition : f ≫ cokernel.π f = 0 :=
   CokernelCofork.condition _
 #align category_theory.limits.cokernel.condition CategoryTheory.Limits.cokernel.condition
+-/
 
+#print CategoryTheory.Limits.cokernelIsCokernel /-
 /-- The cokernel built from `cokernel.π f` is colimiting. -/
 def cokernelIsCokernel :
     IsColimit (Cofork.ofπ (cokernel.π f) ((cokernel.condition f).trans zero_comp.symm)) :=
   IsColimit.ofIsoColimit (colimit.isColimit _) (Cofork.ext (Iso.refl _) (by tidy))
 #align category_theory.limits.cokernel_is_cokernel CategoryTheory.Limits.cokernelIsCokernel
+-/
 
+#print CategoryTheory.Limits.cokernel.desc /-
 /-- Given any morphism `k : Y ⟶ W` such that `f ≫ k = 0`, `k` factors through `cokernel.π f`
     via `cokernel.desc : cokernel f ⟶ W`. -/
 abbrev cokernel.desc {W : C} (k : Y ⟶ W) (h : f ≫ k = 0) : cokernel f ⟶ W :=
   (cokernelIsCokernel f).desc (CokernelCofork.ofπ k h)
 #align category_theory.limits.cokernel.desc CategoryTheory.Limits.cokernel.desc
+-/
 
+#print CategoryTheory.Limits.cokernel.π_desc /-
 @[simp, reassoc.1]
 theorem cokernel.π_desc {W : C} (k : Y ⟶ W) (h : f ≫ k = 0) :
     cokernel.π f ≫ cokernel.desc f k h = k :=
   (cokernelIsCokernel f).fac (CokernelCofork.ofπ k h) WalkingParallelPair.one
 #align category_theory.limits.cokernel.π_desc CategoryTheory.Limits.cokernel.π_desc
+-/
 
+#print CategoryTheory.Limits.cokernel.desc_zero /-
 @[simp]
 theorem cokernel.desc_zero {W : C} {h} : cokernel.desc f (0 : Y ⟶ W) h = 0 :=
   by
   ext
   simp
 #align category_theory.limits.cokernel.desc_zero CategoryTheory.Limits.cokernel.desc_zero
+-/
 
+#print CategoryTheory.Limits.cokernel.desc_epi /-
 instance cokernel.desc_epi {W : C} (k : Y ⟶ W) (h : f ≫ k = 0) [Epi k] :
     Epi (cokernel.desc f k h) :=
   ⟨fun Z g g' w => by
@@ -708,20 +941,26 @@ instance cokernel.desc_epi {W : C} (k : Y ⟶ W) (h : f ≫ k = 0) [Epi k] :
     simp only [cokernel.π_desc_assoc] at w
     exact (cancel_epi k).1 w⟩
 #align category_theory.limits.cokernel.desc_epi CategoryTheory.Limits.cokernel.desc_epi
+-/
 
+#print CategoryTheory.Limits.cokernel.desc' /-
 /-- Any morphism `k : Y ⟶ W` satisfying `f ≫ k = 0` induces `l : cokernel f ⟶ W` such that
     `cokernel.π f ≫ l = k`. -/
 def cokernel.desc' {W : C} (k : Y ⟶ W) (h : f ≫ k = 0) :
     { l : cokernel f ⟶ W // cokernel.π f ≫ l = k } :=
   ⟨cokernel.desc f k h, cokernel.π_desc _ _ _⟩
 #align category_theory.limits.cokernel.desc' CategoryTheory.Limits.cokernel.desc'
+-/
 
+#print CategoryTheory.Limits.cokernel.map /-
 /-- A commuting square induces a morphism of cokernels. -/
 abbrev cokernel.map {X' Y' : C} (f' : X' ⟶ Y') [HasCokernel f'] (p : X ⟶ X') (q : Y ⟶ Y')
     (w : f ≫ q = p ≫ f') : cokernel f ⟶ cokernel f' :=
   cokernel.desc f (q ≫ cokernel.π f') (by simp [reassoc_of w])
 #align category_theory.limits.cokernel.map CategoryTheory.Limits.cokernel.map
+-/
 
+#print CategoryTheory.Limits.cokernel.map_desc /-
 /-- Given a commutative diagram
     X --f--> Y --g--> Z
     |        |        |
@@ -745,7 +984,9 @@ theorem cokernel.map_desc {X Y Z X' Y' Z' : C} (f : X ⟶ Y) [HasCokernel f] (g
   ext
   simp [h₂]
 #align category_theory.limits.cokernel.map_desc CategoryTheory.Limits.cokernel.map_desc
+-/
 
+#print CategoryTheory.Limits.cokernel.mapIso /-
 /-- A commuting square of isomorphisms induces an isomorphism of cokernels. -/
 @[simps]
 def cokernel.mapIso {X' Y' : C} (f' : X' ⟶ Y') [HasCokernel f'] (p : X ≅ X') (q : Y ≅ Y')
@@ -758,21 +999,29 @@ def cokernel.mapIso {X' Y' : C} (f' : X' ⟶ Y') [HasCokernel f'] (p : X ≅ X')
         refine' (cancel_mono q.hom).1 _
         simp [w])
 #align category_theory.limits.cokernel.map_iso CategoryTheory.Limits.cokernel.mapIso
+-/
 
+#print CategoryTheory.Limits.cokernel.π_zero_isIso /-
 /-- The cokernel of the zero morphism is an isomorphism -/
 instance cokernel.π_zero_isIso : IsIso (cokernel.π (0 : X ⟶ Y)) :=
   coequalizer.π_of_self _
 #align category_theory.limits.cokernel.π_zero_is_iso CategoryTheory.Limits.cokernel.π_zero_isIso
+-/
 
+#print CategoryTheory.Limits.eq_zero_of_mono_cokernel /-
 theorem eq_zero_of_mono_cokernel [Mono (cokernel.π f)] : f = 0 :=
   (cancel_mono (cokernel.π f)).1 (by simp)
 #align category_theory.limits.eq_zero_of_mono_cokernel CategoryTheory.Limits.eq_zero_of_mono_cokernel
+-/
 
+#print CategoryTheory.Limits.cokernelZeroIsoTarget /-
 /-- The cokernel of a zero morphism is isomorphic to the target. -/
 def cokernelZeroIsoTarget : cokernel (0 : X ⟶ Y) ≅ Y :=
   coequalizer.isoTargetOfSelf 0
 #align category_theory.limits.cokernel_zero_iso_target CategoryTheory.Limits.cokernelZeroIsoTarget
+-/
 
+#print CategoryTheory.Limits.cokernelZeroIsoTarget_hom /-
 @[simp]
 theorem cokernelZeroIsoTarget_hom :
     cokernelZeroIsoTarget.Hom = cokernel.desc (0 : X ⟶ Y) (𝟙 Y) (by simp) :=
@@ -780,25 +1029,33 @@ theorem cokernelZeroIsoTarget_hom :
   ext
   simp [cokernel_zero_iso_target]
 #align category_theory.limits.cokernel_zero_iso_target_hom CategoryTheory.Limits.cokernelZeroIsoTarget_hom
+-/
 
+#print CategoryTheory.Limits.cokernelZeroIsoTarget_inv /-
 @[simp]
 theorem cokernelZeroIsoTarget_inv : cokernelZeroIsoTarget.inv = cokernel.π (0 : X ⟶ Y) :=
   rfl
 #align category_theory.limits.cokernel_zero_iso_target_inv CategoryTheory.Limits.cokernelZeroIsoTarget_inv
+-/
 
+#print CategoryTheory.Limits.cokernelIsoOfEq /-
 /-- If two morphisms are known to be equal, then their cokernels are isomorphic. -/
 def cokernelIsoOfEq {f g : X ⟶ Y} [HasCokernel f] [HasCokernel g] (h : f = g) :
     cokernel f ≅ cokernel g :=
   HasColimit.isoOfNatIso (by simp [h])
 #align category_theory.limits.cokernel_iso_of_eq CategoryTheory.Limits.cokernelIsoOfEq
+-/
 
+#print CategoryTheory.Limits.cokernelIsoOfEq_refl /-
 @[simp]
 theorem cokernelIsoOfEq_refl {h : f = f} : cokernelIsoOfEq h = Iso.refl (cokernel f) :=
   by
   ext
   simp [cokernel_iso_of_eq]
 #align category_theory.limits.cokernel_iso_of_eq_refl CategoryTheory.Limits.cokernelIsoOfEq_refl
+-/
 
+#print CategoryTheory.Limits.π_comp_cokernelIsoOfEq_hom /-
 @[simp, reassoc.1]
 theorem π_comp_cokernelIsoOfEq_hom {f g : X ⟶ Y} [HasCokernel f] [HasCokernel g] (h : f = g) :
     cokernel.π _ ≫ (cokernelIsoOfEq h).Hom = cokernel.π _ :=
@@ -806,7 +1063,9 @@ theorem π_comp_cokernelIsoOfEq_hom {f g : X ⟶ Y} [HasCokernel f] [HasCokernel
   induction h
   simp
 #align category_theory.limits.π_comp_cokernel_iso_of_eq_hom CategoryTheory.Limits.π_comp_cokernelIsoOfEq_hom
+-/
 
+#print CategoryTheory.Limits.π_comp_cokernelIsoOfEq_inv /-
 @[simp, reassoc.1]
 theorem π_comp_cokernelIsoOfEq_inv {f g : X ⟶ Y} [HasCokernel f] [HasCokernel g] (h : f = g) :
     cokernel.π _ ≫ (cokernelIsoOfEq h).inv = cokernel.π _ :=
@@ -814,7 +1073,9 @@ theorem π_comp_cokernelIsoOfEq_inv {f g : X ⟶ Y} [HasCokernel f] [HasCokernel
   induction h
   simp
 #align category_theory.limits.π_comp_cokernel_iso_of_eq_inv CategoryTheory.Limits.π_comp_cokernelIsoOfEq_inv
+-/
 
+#print CategoryTheory.Limits.cokernelIsoOfEq_hom_comp_desc /-
 @[simp, reassoc.1]
 theorem cokernelIsoOfEq_hom_comp_desc {Z} {f g : X ⟶ Y} [HasCokernel f] [HasCokernel g] (h : f = g)
     (e : Y ⟶ Z) (he) :
@@ -823,7 +1084,9 @@ theorem cokernelIsoOfEq_hom_comp_desc {Z} {f g : X ⟶ Y} [HasCokernel f] [HasCo
   induction h
   simp
 #align category_theory.limits.cokernel_iso_of_eq_hom_comp_desc CategoryTheory.Limits.cokernelIsoOfEq_hom_comp_desc
+-/
 
+#print CategoryTheory.Limits.cokernelIsoOfEq_inv_comp_desc /-
 @[simp, reassoc.1]
 theorem cokernelIsoOfEq_inv_comp_desc {Z} {f g : X ⟶ Y} [HasCokernel f] [HasCokernel g] (h : f = g)
     (e : Y ⟶ Z) (he) :
@@ -832,7 +1095,9 @@ theorem cokernelIsoOfEq_inv_comp_desc {Z} {f g : X ⟶ Y} [HasCokernel f] [HasCo
   induction h
   simp
 #align category_theory.limits.cokernel_iso_of_eq_inv_comp_desc CategoryTheory.Limits.cokernelIsoOfEq_inv_comp_desc
+-/
 
+#print CategoryTheory.Limits.cokernelIsoOfEq_trans /-
 @[simp]
 theorem cokernelIsoOfEq_trans {f g h : X ⟶ Y} [HasCokernel f] [HasCokernel g] [HasCokernel h]
     (w₁ : f = g) (w₂ : g = h) :
@@ -843,19 +1108,25 @@ theorem cokernelIsoOfEq_trans {f g h : X ⟶ Y} [HasCokernel f] [HasCokernel g]
   ext
   simp [cokernel_iso_of_eq]
 #align category_theory.limits.cokernel_iso_of_eq_trans CategoryTheory.Limits.cokernelIsoOfEq_trans
+-/
 
 variable {f}
 
+#print CategoryTheory.Limits.cokernel_not_mono_of_nonzero /-
 theorem cokernel_not_mono_of_nonzero (w : f ≠ 0) : ¬Mono (cokernel.π f) := fun I =>
   w (eq_zero_of_mono_cokernel f)
 #align category_theory.limits.cokernel_not_mono_of_nonzero CategoryTheory.Limits.cokernel_not_mono_of_nonzero
+-/
 
+#print CategoryTheory.Limits.cokernel_not_iso_of_nonzero /-
 theorem cokernel_not_iso_of_nonzero (w : f ≠ 0) : IsIso (cokernel.π f) → False := fun I =>
   cokernel_not_mono_of_nonzero w <| by
     skip
     infer_instance
 #align category_theory.limits.cokernel_not_iso_of_nonzero CategoryTheory.Limits.cokernel_not_iso_of_nonzero
+-/
 
+#print CategoryTheory.Limits.hasCokernel_comp_iso /-
 -- TODO the remainder of this section has obvious generalizations to `has_coequalizer f g`.
 instance hasCokernel_comp_iso {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [HasCokernel f] [IsIso g] :
     HasCokernel (f ≫ g)
@@ -870,7 +1141,9 @@ instance hasCokernel_comp_iso {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [HasCokern
             ext
             simp }⟩
 #align category_theory.limits.has_cokernel_comp_iso CategoryTheory.Limits.hasCokernel_comp_iso
+-/
 
+#print CategoryTheory.Limits.cokernelCompIsIso /-
 /-- When `g` is an isomorphism, the cokernel of `f ≫ g` is isomorphic to the cokernel of `f`.
 -/
 @[simps]
@@ -880,13 +1153,17 @@ def cokernelCompIsIso {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [HasCokernel f] [I
   Hom := cokernel.desc _ (inv g ≫ cokernel.π f) (by simp)
   inv := cokernel.desc _ (g ≫ cokernel.π (f ≫ g)) (by rw [← category.assoc, cokernel.condition])
 #align category_theory.limits.cokernel_comp_is_iso CategoryTheory.Limits.cokernelCompIsIso
+-/
 
+#print CategoryTheory.Limits.hasCokernel_epi_comp /-
 instance hasCokernel_epi_comp {X Y : C} (f : X ⟶ Y) [HasCokernel f] {W} (g : W ⟶ X) [Epi g] :
     HasCokernel (g ≫ f) :=
   ⟨⟨{   Cocone := _
         IsColimit := isCokernelEpiComp (colimit.isColimit _) g rfl }⟩⟩
 #align category_theory.limits.has_cokernel_epi_comp CategoryTheory.Limits.hasCokernel_epi_comp
+-/
 
+#print CategoryTheory.Limits.cokernelEpiComp /-
 /-- When `f` is an epimorphism, the cokernel of `f ≫ g` is isomorphic to the cokernel of `g`.
 -/
 @[simps]
@@ -900,6 +1177,7 @@ def cokernelEpiComp {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [Epi f] [HasCokernel
         rw [← cancel_epi f, ← category.assoc]
         simp)
 #align category_theory.limits.cokernel_epi_comp CategoryTheory.Limits.cokernelEpiComp
+-/
 
 end
 
@@ -909,13 +1187,16 @@ variable [HasZeroObject C]
 
 open ZeroObject
 
+#print CategoryTheory.Limits.cokernel.zeroCokernelCofork /-
 /-- The morphism to the zero object determines a cocone on a cokernel diagram -/
 def cokernel.zeroCokernelCofork : CokernelCofork f
     where
   pt := 0
   ι := { app := fun j => 0 }
 #align category_theory.limits.cokernel.zero_cokernel_cofork CategoryTheory.Limits.cokernel.zeroCokernelCofork
+-/
 
+#print CategoryTheory.Limits.cokernel.isColimitCoconeZeroCocone /-
 /-- The morphism to the zero object is a cokernel of an epimorphism -/
 def cokernel.isColimitCoconeZeroCocone [Epi f] : IsColimit (cokernel.zeroCokernelCofork f) :=
   Cofork.IsColimit.mk _ (fun s => 0)
@@ -925,18 +1206,23 @@ def cokernel.isColimitCoconeZeroCocone [Epi f] : IsColimit (cokernel.zeroCokerne
       exact cokernel_cofork.condition _)
     fun _ _ _ => zero_of_from_zero _
 #align category_theory.limits.cokernel.is_colimit_cocone_zero_cocone CategoryTheory.Limits.cokernel.isColimitCoconeZeroCocone
+-/
 
+#print CategoryTheory.Limits.cokernel.ofEpi /-
 /-- The cokernel of an epimorphism is isomorphic to the zero object -/
 def cokernel.ofEpi [HasCokernel f] [Epi f] : cokernel f ≅ 0 :=
   Functor.mapIso (Cocones.forget _) <|
     IsColimit.uniqueUpToIso (colimit.isColimit (parallelPair f 0))
       (cokernel.isColimitCoconeZeroCocone f)
 #align category_theory.limits.cokernel.of_epi CategoryTheory.Limits.cokernel.ofEpi
+-/
 
+#print CategoryTheory.Limits.cokernel.π_of_epi /-
 /-- The cokernel morphism of an epimorphism is a zero morphism -/
 theorem cokernel.π_of_epi [HasCokernel f] [Epi f] : cokernel.π f = 0 :=
   zero_of_target_iso_zero _ (cokernel.ofEpi f)
 #align category_theory.limits.cokernel.π_of_epi CategoryTheory.Limits.cokernel.π_of_epi
+-/
 
 end HasZeroObject
 
@@ -944,16 +1230,19 @@ section MonoFactorisation
 
 variable {f}
 
+#print CategoryTheory.Limits.MonoFactorisation.kernel_ι_comp /-
 @[simp]
 theorem MonoFactorisation.kernel_ι_comp [HasKernel f] (F : MonoFactorisation f) :
     kernel.ι f ≫ F.e = 0 := by
   rw [← cancel_mono F.m, zero_comp, category.assoc, F.fac, kernel.condition]
 #align category_theory.limits.mono_factorisation.kernel_ι_comp CategoryTheory.Limits.MonoFactorisation.kernel_ι_comp
+-/
 
 end MonoFactorisation
 
 section HasImage
 
+#print CategoryTheory.Limits.cokernelImageι /-
 /-- The cokernel of the image inclusion of a morphism `f` is isomorphic to the cokernel of `f`.
 
 (This result requires that the factorisation through the image is an epimorphism.
@@ -983,6 +1272,7 @@ def cokernelImageι {X Y : C} (f : X ⟶ Y) [HasImage f] [HasCokernel (image.ι
           rw [← image.fac f]
         rw [category.assoc, cokernel.condition, has_zero_morphisms.comp_zero])
 #align category_theory.limits.cokernel_image_ι CategoryTheory.Limits.cokernelImageι
+-/
 
 end HasImage
 
@@ -990,10 +1280,12 @@ section
 
 variable (X Y)
 
+#print CategoryTheory.Limits.cokernel.π_of_zero /-
 /-- The cokernel of a zero morphism is an isomorphism -/
 theorem cokernel.π_of_zero : IsIso (cokernel.π (0 : X ⟶ Y)) :=
   coequalizer.π_of_self _
 #align category_theory.limits.cokernel.π_of_zero CategoryTheory.Limits.cokernel.π_of_zero
+-/
 
 end
 
@@ -1003,18 +1295,23 @@ variable [HasZeroObject C]
 
 open ZeroObject
 
+#print CategoryTheory.Limits.kernel.of_cokernel_of_epi /-
 /-- The kernel of the cokernel of an epimorphism is an isomorphism -/
 instance kernel.of_cokernel_of_epi [HasCokernel f] [HasKernel (cokernel.π f)] [Epi f] :
     IsIso (kernel.ι (cokernel.π f)) :=
   equalizer.ι_of_eq <| cokernel.π_of_epi f
 #align category_theory.limits.kernel.of_cokernel_of_epi CategoryTheory.Limits.kernel.of_cokernel_of_epi
+-/
 
+#print CategoryTheory.Limits.cokernel.of_kernel_of_mono /-
 /-- The cokernel of the kernel of a monomorphism is an isomorphism -/
 instance cokernel.of_kernel_of_mono [HasKernel f] [HasCokernel (kernel.ι f)] [Mono f] :
     IsIso (cokernel.π (kernel.ι f)) :=
   coequalizer.π_of_eq <| kernel.ι_of_mono f
 #align category_theory.limits.cokernel.of_kernel_of_mono CategoryTheory.Limits.cokernel.of_kernel_of_mono
+-/
 
+#print CategoryTheory.Limits.zeroCokernelOfZeroCancel /-
 /-- If `f ≫ g = 0` implies `g = 0` for all `g`, then `0 : Y ⟶ 0` is a cokernel of `f`. -/
 def zeroCokernelOfZeroCancel {X Y : C} (f : X ⟶ Y)
     (hf : ∀ (Z : C) (g : Y ⟶ Z) (hgf : f ≫ g = 0), g = 0) :
@@ -1022,11 +1319,18 @@ def zeroCokernelOfZeroCancel {X Y : C} (f : X ⟶ Y)
   Cofork.IsColimit.mk _ (fun s => 0)
     (fun s => by rw [hf _ _ (cokernel_cofork.condition s), comp_zero]) fun s m h => by ext
 #align category_theory.limits.zero_cokernel_of_zero_cancel CategoryTheory.Limits.zeroCokernelOfZeroCancel
+-/
 
 end HasZeroObject
 
 section Transport
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_cokernel.of_iso_comp CategoryTheory.Limits.IsCokernel.ofIsoCompₓ'. -/
 /-- If `i` is an isomorphism such that `i.hom ≫ l = f`, then any cokernel of `f` is a cokernel of
     `l`. -/
 def IsCokernel.ofIsoComp {Z : C} (l : Z ⟶ Y) (i : X ≅ Z) (h : i.Hom ≫ l = f) {s : CokernelCofork f}
@@ -1040,6 +1344,7 @@ def IsCokernel.ofIsoComp {Z : C} (l : Z ⟶ Y) (i : X ≅ Z) (h : i.Hom ≫ l =
     simpa using h
 #align category_theory.limits.is_cokernel.of_iso_comp CategoryTheory.Limits.IsCokernel.ofIsoComp
 
+#print CategoryTheory.Limits.cokernel.ofIsoComp /-
 /-- If `i` is an isomorphism such that `i.hom ≫ l = f`, then the cokernel of `f` is a cokernel of
     `l`. -/
 def cokernel.ofIsoComp [HasCokernel f] {Z : C} (l : Z ⟶ Y) (i : X ≅ Z) (h : i.Hom ≫ l = f) :
@@ -1048,7 +1353,14 @@ def cokernel.ofIsoComp [HasCokernel f] {Z : C} (l : Z ⟶ Y) (i : X ≅ Z) (h :
         show l ≫ cokernel.π f = 0 by simp [i.eq_inv_comp.2 h]) :=
   IsCokernel.ofIsoComp f l i h <| colimit.isColimit _
 #align category_theory.limits.cokernel.of_iso_comp CategoryTheory.Limits.cokernel.ofIsoComp
+-/
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_cokernel.cokernel_iso CategoryTheory.Limits.IsCokernel.cokernelIsoₓ'. -/
 /-- If `s` is any colimit cokernel cocone over `f` and `i` is an isomorphism such that
     `s.π ≫ i.hom = l`, then `l` is a cokernel of `f`. -/
 def IsCokernel.cokernelIso {Z : C} (l : Y ⟶ Z) {s : CokernelCofork f} (hs : IsColimit s)
@@ -1061,11 +1373,13 @@ def IsCokernel.cokernelIso {Z : C} (l : Y ⟶ Z) {s : CokernelCofork f} (hs : Is
       · exact h
 #align category_theory.limits.is_cokernel.cokernel_iso CategoryTheory.Limits.IsCokernel.cokernelIso
 
+#print CategoryTheory.Limits.cokernel.cokernelIso /-
 /-- If `i` is an isomorphism such that `cokernel.π f ≫ i.hom = l`, then `l` is a cokernel of `f`. -/
 def cokernel.cokernelIso [HasCokernel f] {Z : C} (l : Y ⟶ Z) (i : cokernel f ≅ Z)
     (h : cokernel.π f ≫ i.Hom = l) : IsColimit (CokernelCofork.ofπ l <| by simp [← h]) :=
   IsCokernel.cokernelIso f l (colimit.isColimit _) i h
 #align category_theory.limits.cokernel.cokernel_iso CategoryTheory.Limits.cokernel.cokernelIso
+-/
 
 end Transport
 
@@ -1075,6 +1389,12 @@ variable {D : Type u₂} [Category.{v₂} D] [HasZeroMorphisms D]
 
 variable (G : C ⥤ D) [Functor.PreservesZeroMorphisms G]
 
+/- warning: category_theory.limits.kernel_comparison -> CategoryTheory.Limits.kernelComparison is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_comparison CategoryTheory.Limits.kernelComparisonₓ'. -/
 /-- The comparison morphism for the kernel of `f`.
 This is an isomorphism iff `G` preserves the kernel of `f`; see
 `category_theory/limits/preserves/shapes/kernels.lean`
@@ -1084,12 +1404,24 @@ def kernelComparison [HasKernel f] [HasKernel (G.map f)] : G.obj (kernel f) ⟶
     (by simp only [← G.map_comp, kernel.condition, functor.map_zero])
 #align category_theory.limits.kernel_comparison CategoryTheory.Limits.kernelComparison
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_comparison_comp_ι CategoryTheory.Limits.kernelComparison_comp_ιₓ'. -/
 @[simp, reassoc.1]
 theorem kernelComparison_comp_ι [HasKernel f] [HasKernel (G.map f)] :
     kernelComparison f G ≫ kernel.ι (G.map f) = G.map (kernel.ι f) :=
   kernel.lift_ι _ _ _
 #align category_theory.limits.kernel_comparison_comp_ι CategoryTheory.Limits.kernelComparison_comp_ι
 
+/- warning: category_theory.limits.map_lift_kernel_comparison -> CategoryTheory.Limits.map_lift_kernelComparison is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.map_lift_kernel_comparison CategoryTheory.Limits.map_lift_kernelComparisonₓ'. -/
 @[simp, reassoc.1]
 theorem map_lift_kernelComparison [HasKernel f] [HasKernel (G.map f)] {Z : C} {h : Z ⟶ X}
     (w : h ≫ f = 0) :
@@ -1100,6 +1432,12 @@ theorem map_lift_kernelComparison [HasKernel f] [HasKernel (G.map f)] {Z : C} {h
   simp [← G.map_comp]
 #align category_theory.limits.map_lift_kernel_comparison CategoryTheory.Limits.map_lift_kernelComparison
 
+/- warning: category_theory.limits.kernel_comparison_comp_kernel_map -> CategoryTheory.Limits.kernelComparison_comp_kernel_map is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.kernel_comparison_comp_kernel_map CategoryTheory.Limits.kernelComparison_comp_kernel_mapₓ'. -/
 @[reassoc.1]
 theorem kernelComparison_comp_kernel_map {X' Y' : C} [HasKernel f] [HasKernel (G.map f)]
     (g : X' ⟶ Y') [HasKernel g] [HasKernel (G.map g)] (p : X ⟶ X') (q : Y ⟶ Y')
@@ -1112,6 +1450,12 @@ theorem kernelComparison_comp_kernel_map {X' Y' : C} [HasKernel f] [HasKernel (G
     (by simp only [← G.map_comp] <;> exact G.congr_map (kernel.lift_ι _ _ _).symm) _
 #align category_theory.limits.kernel_comparison_comp_kernel_map CategoryTheory.Limits.kernelComparison_comp_kernel_map
 
+/- warning: category_theory.limits.cokernel_comparison -> CategoryTheory.Limits.cokernelComparison is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_comparison CategoryTheory.Limits.cokernelComparisonₓ'. -/
 /-- The comparison morphism for the cokernel of `f`. -/
 def cokernelComparison [HasCokernel f] [HasCokernel (G.map f)] :
     cokernel (G.map f) ⟶ G.obj (cokernel f) :=
@@ -1119,12 +1463,24 @@ def cokernelComparison [HasCokernel f] [HasCokernel (G.map f)] :
     (by simp only [← G.map_comp, cokernel.condition, functor.map_zero])
 #align category_theory.limits.cokernel_comparison CategoryTheory.Limits.cokernelComparison
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.π_comp_cokernel_comparison CategoryTheory.Limits.π_comp_cokernelComparisonₓ'. -/
 @[simp, reassoc.1]
 theorem π_comp_cokernelComparison [HasCokernel f] [HasCokernel (G.map f)] :
     cokernel.π (G.map f) ≫ cokernelComparison f G = G.map (cokernel.π _) :=
   cokernel.π_desc _ _ _
 #align category_theory.limits.π_comp_cokernel_comparison CategoryTheory.Limits.π_comp_cokernelComparison
 
+/- warning: category_theory.limits.cokernel_comparison_map_desc -> CategoryTheory.Limits.cokernelComparison_map_desc is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_comparison_map_desc CategoryTheory.Limits.cokernelComparison_map_descₓ'. -/
 @[simp, reassoc.1]
 theorem cokernelComparison_map_desc [HasCokernel f] [HasCokernel (G.map f)] {Z : C} {h : Y ⟶ Z}
     (w : f ≫ h = 0) :
@@ -1135,6 +1491,12 @@ theorem cokernelComparison_map_desc [HasCokernel f] [HasCokernel (G.map f)] {Z :
   simp [← G.map_comp]
 #align category_theory.limits.cokernel_comparison_map_desc CategoryTheory.Limits.cokernelComparison_map_desc
 
+/- warning: category_theory.limits.cokernel_map_comp_cokernel_comparison -> CategoryTheory.Limits.cokernel_map_comp_cokernelComparison is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.cokernel_map_comp_cokernel_comparison CategoryTheory.Limits.cokernel_map_comp_cokernelComparisonₓ'. -/
 @[reassoc.1]
 theorem cokernel_map_comp_cokernelComparison {X' Y' : C} [HasCokernel f] [HasCokernel (G.map f)]
     (g : X' ⟶ Y') [HasCokernel g] [HasCokernel (G.map g)] (p : X ⟶ X') (q : Y ⟶ Y')
@@ -1157,24 +1519,32 @@ variable (C : Type u) [Category.{v} C]
 
 variable [HasZeroMorphisms C]
 
+#print CategoryTheory.Limits.HasKernels /-
 /-- `has_kernels` represents the existence of kernels for every morphism. -/
 class HasKernels : Prop where
   HasLimit : ∀ {X Y : C} (f : X ⟶ Y), HasKernel f := by infer_instance
 #align category_theory.limits.has_kernels CategoryTheory.Limits.HasKernels
+-/
 
+#print CategoryTheory.Limits.HasCokernels /-
 /-- `has_cokernels` represents the existence of cokernels for every morphism. -/
 class HasCokernels : Prop where
   HasColimit : ∀ {X Y : C} (f : X ⟶ Y), HasCokernel f := by infer_instance
 #align category_theory.limits.has_cokernels CategoryTheory.Limits.HasCokernels
+-/
 
 attribute [instance] has_kernels.has_limit has_cokernels.has_colimit
 
+#print CategoryTheory.Limits.hasKernels_of_hasEqualizers /-
 instance (priority := 100) hasKernels_of_hasEqualizers [HasEqualizers C] : HasKernels C where
 #align category_theory.limits.has_kernels_of_has_equalizers CategoryTheory.Limits.hasKernels_of_hasEqualizers
+-/
 
+#print CategoryTheory.Limits.hasCokernels_of_hasCoequalizers /-
 instance (priority := 100) hasCokernels_of_hasCoequalizers [HasCoequalizers C] : HasCokernels C
     where
 #align category_theory.limits.has_cokernels_of_has_coequalizers CategoryTheory.Limits.hasCokernels_of_hasCoequalizers
+-/
 
 end CategoryTheory.Limits

956af7c7

bump to nightly-2023-02-28-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211

1fb1623f

Diff

@@ -138,15 +138,15 @@ end
 /-- If `s` is a limit kernel fork and `k : W ⟶ X` satisfies ``k ≫ f = 0`, then there is some
     `l : W ⟶ s.X` such that `l ≫ fork.ι s = k`. -/
 def KernelFork.IsLimit.lift' {s : KernelFork f} (hs : IsLimit s) {W : C} (k : W ⟶ X)
-    (h : k ≫ f = 0) : { l : W ⟶ s.x // l ≫ Fork.ι s = k } :=
+    (h : k ≫ f = 0) : { l : W ⟶ s.pt // l ≫ Fork.ι s = k } :=
   ⟨hs.lift <| KernelFork.ofι _ h, hs.fac _ _⟩
 #align category_theory.limits.kernel_fork.is_limit.lift' CategoryTheory.Limits.KernelFork.IsLimit.lift'
 
 /-- This is a slightly more convenient method to verify that a kernel fork is a limit cone. It
     only asks for a proof of facts that carry any mathematical content -/
-def isLimitAux (t : KernelFork f) (lift : ∀ s : KernelFork f, s.x ⟶ t.x)
+def isLimitAux (t : KernelFork f) (lift : ∀ s : KernelFork f, s.pt ⟶ t.pt)
     (fac : ∀ s : KernelFork f, lift s ≫ t.ι = s.ι)
-    (uniq : ∀ (s : KernelFork f) (m : s.x ⟶ t.x) (w : m ≫ t.ι = s.ι), m = lift s) : IsLimit t :=
+    (uniq : ∀ (s : KernelFork f) (m : s.pt ⟶ t.pt) (w : m ≫ t.ι = s.ι), m = lift s) : IsLimit t :=
   { lift
     fac := fun s j => by
       cases j
@@ -451,7 +451,7 @@ open ZeroObject
 
 /-- The morphism from the zero object determines a cone on a kernel diagram -/
 def kernel.zeroKernelFork : KernelFork f where
-  x := 0
+  pt := 0
   π := { app := fun j => 0 }
 #align category_theory.limits.kernel.zero_kernel_fork CategoryTheory.Limits.kernel.zeroKernelFork
 
@@ -509,7 +509,7 @@ def kernel.ofCompIso [HasKernel f] {Z : C} (l : X ⟶ Z) (i : Z ≅ Y) (h : l 
 
 /-- If `s` is any limit kernel cone over `f` and if  `i` is an isomorphism such that
     `i.hom ≫ s.ι  = l`, then `l` is a kernel of `f`. -/
-def IsKernel.isoKernel {Z : C} (l : Z ⟶ X) {s : KernelFork f} (hs : IsLimit s) (i : Z ≅ s.x)
+def IsKernel.isoKernel {Z : C} (l : Z ⟶ X) {s : KernelFork f} (hs : IsLimit s) (i : Z ≅ s.pt)
     (h : i.Hom ≫ Fork.ι s = l) : IsLimit (KernelFork.ofι l <| show l ≫ f = 0 by simp [← h]) :=
   IsLimit.ofIsoLimit hs <|
     Cones.ext i.symm fun j => by
@@ -581,15 +581,15 @@ def ofπCongr {P : C} {π π' : Y ⟶ P} {w : f ≫ π = 0} (h : π = π') :
 /-- If `s` is a colimit cokernel cofork, then every `k : Y ⟶ W` satisfying `f ≫ k = 0` induces
     `l : s.X ⟶ W` such that `cofork.π s ≫ l = k`. -/
 def CokernelCofork.IsColimit.desc' {s : CokernelCofork f} (hs : IsColimit s) {W : C} (k : Y ⟶ W)
-    (h : f ≫ k = 0) : { l : s.x ⟶ W // Cofork.π s ≫ l = k } :=
+    (h : f ≫ k = 0) : { l : s.pt ⟶ W // Cofork.π s ≫ l = k } :=
   ⟨hs.desc <| CokernelCofork.ofπ _ h, hs.fac _ _⟩
 #align category_theory.limits.cokernel_cofork.is_colimit.desc' CategoryTheory.Limits.CokernelCofork.IsColimit.desc'
 
 /-- This is a slightly more convenient method to verify that a cokernel cofork is a colimit cocone.
 It only asks for a proof of facts that carry any mathematical content -/
-def isColimitAux (t : CokernelCofork f) (desc : ∀ s : CokernelCofork f, t.x ⟶ s.x)
+def isColimitAux (t : CokernelCofork f) (desc : ∀ s : CokernelCofork f, t.pt ⟶ s.pt)
     (fac : ∀ s : CokernelCofork f, t.π ≫ desc s = s.π)
-    (uniq : ∀ (s : CokernelCofork f) (m : t.x ⟶ s.x) (w : t.π ≫ m = s.π), m = desc s) :
+    (uniq : ∀ (s : CokernelCofork f) (m : t.pt ⟶ s.pt) (w : t.π ≫ m = s.π), m = desc s) :
     IsColimit t :=
   { desc
     fac := fun s j => by
@@ -912,7 +912,7 @@ open ZeroObject
 /-- The morphism to the zero object determines a cocone on a cokernel diagram -/
 def cokernel.zeroCokernelCofork : CokernelCofork f
     where
-  x := 0
+  pt := 0
   ι := { app := fun j => 0 }
 #align category_theory.limits.cokernel.zero_cokernel_cofork CategoryTheory.Limits.cokernel.zeroCokernelCofork
 
@@ -1052,7 +1052,7 @@ def cokernel.ofIsoComp [HasCokernel f] {Z : C} (l : Z ⟶ Y) (i : X ≅ Z) (h :
 /-- If `s` is any colimit cokernel cocone over `f` and `i` is an isomorphism such that
     `s.π ≫ i.hom = l`, then `l` is a cokernel of `f`. -/
 def IsCokernel.cokernelIso {Z : C} (l : Y ⟶ Z) {s : CokernelCofork f} (hs : IsColimit s)
-    (i : s.x ≅ Z) (h : Cofork.π s ≫ i.Hom = l) :
+    (i : s.pt ≅ Z) (h : Cofork.π s ≫ i.Hom = l) :
     IsColimit (CokernelCofork.ofπ l <| show f ≫ l = 0 by simp [← h]) :=
   IsColimit.ofIsoColimit hs <|
     Cocones.ext i fun j => by

956af7c7

bump to nightly-2023-02-27-08

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

91d8c210

Diff

@@ -148,11 +148,11 @@ def isLimitAux (t : KernelFork f) (lift : ∀ s : KernelFork f, s.x ⟶ t.x)
     (fac : ∀ s : KernelFork f, lift s ≫ t.ι = s.ι)
     (uniq : ∀ (s : KernelFork f) (m : s.x ⟶ t.x) (w : m ≫ t.ι = s.ι), m = lift s) : IsLimit t :=
   { lift
-    fac' := fun s j => by
+    fac := fun s j => by
       cases j
       · exact fac s
       · simp
-    uniq' := fun s m w => uniq s m (w Limits.WalkingParallelPair.zero) }
+    uniq := fun s m w => uniq s m (w Limits.WalkingParallelPair.zero) }
 #align category_theory.limits.is_limit_aux CategoryTheory.Limits.isLimitAux
 
 /-- This is a more convenient formulation to show that a `kernel_fork` constructed using
@@ -592,11 +592,11 @@ def isColimitAux (t : CokernelCofork f) (desc : ∀ s : CokernelCofork f, t.x 
     (uniq : ∀ (s : CokernelCofork f) (m : t.x ⟶ s.x) (w : t.π ≫ m = s.π), m = desc s) :
     IsColimit t :=
   { desc
-    fac' := fun s j => by
+    fac := fun s j => by
       cases j
       · simp
       · exact fac s
-    uniq' := fun s m w => uniq s m (w Limits.WalkingParallelPair.one) }
+    uniq := fun s m w => uniq s m (w Limits.WalkingParallelPair.one) }
 #align category_theory.limits.is_colimit_aux CategoryTheory.Limits.isColimitAux
 
 /-- This is a more convenient formulation to show that a `cokernel_cofork` constructed using

956af7c7

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

956af7c7

chore(CategoryTheory): move Full, Faithful, EssSurj, IsEquivalence and ReflectsIsomorphisms to the Functor namespace (#11985)

These notions on functors are now Functor.Full, Functor.Faithful, Functor.EssSurj, Functor.IsEquivalence, Functor.ReflectsIsomorphisms. Deprecated aliases are introduced for the previous names.

65b7affc

Diff

@@ -119,7 +119,7 @@ def ofιCongr {P : C} {ι ι' : P ⟶ X} {w : ι ≫ f = 0} (h : ι = ι') :
 
 /-- If `F` is an equivalence, then applying `F` to a diagram indexing a (co)kernel of `f` yields
     the diagram indexing the (co)kernel of `F.map f`. -/
-def compNatIso {D : Type u'} [Category.{v} D] [HasZeroMorphisms D] (F : C ⥤ D) [IsEquivalence F] :
+def compNatIso {D : Type u'} [Category.{v} D] [HasZeroMorphisms D] (F : C ⥤ D) [F.IsEquivalence] :
     parallelPair f 0 ⋙ F ≅ parallelPair (F.map f) 0 :=
   let app (j :WalkingParallelPair) :
       (parallelPair f 0 ⋙ F).obj j ≅ (parallelPair (F.map f) 0).obj j :=

956af7c7

style: replace '.-/' by '. -/' (#11938)

Purely automatic replacement. If this is in any way controversial; I'm happy to just close this PR.

3556ded2

Diff

@@ -383,7 +383,7 @@ theorem kernelIsoOfEq_refl {h : f = f} : kernelIsoOfEq h = Iso.refl (kernel f) :
   simp [kernelIsoOfEq]
 #align category_theory.limits.kernel_iso_of_eq_refl CategoryTheory.Limits.kernelIsoOfEq_refl
 
-/- Porting note: induction on Eq is trying instantiate another g...-/
+/- Porting note: induction on Eq is trying instantiate another g... -/
 @[reassoc (attr := simp)]
 theorem kernelIsoOfEq_hom_comp_ι {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h : f = g) :
     (kernelIsoOfEq h).hom ≫ kernel.ι g = kernel.ι f := by
@@ -512,7 +512,7 @@ end HasZeroObject
 
 section Transport
 
-/-- If `i` is an isomorphism such that `l ≫ i.hom = f`, then any kernel of `f` is a kernel of `l`.-/
+/-- If `i` is an isomorphism such that `l ≫ i.hom = f`, any kernel of `f` is a kernel of `l`. -/
 def IsKernel.ofCompIso {Z : C} (l : X ⟶ Z) (i : Z ≅ Y) (h : l ≫ i.hom = f) {s : KernelFork f}
     (hs : IsLimit s) :
     IsLimit
@@ -523,7 +523,7 @@ def IsKernel.ofCompIso {Z : C} (l : X ⟶ Z) (i : Z ≅ Y) (h : l ≫ i.hom = f)
       simpa using h
 #align category_theory.limits.is_kernel.of_comp_iso CategoryTheory.Limits.IsKernel.ofCompIso
 
-/-- If `i` is an isomorphism such that `l ≫ i.hom = f`, then the kernel of `f` is a kernel of `l`.-/
+/-- If `i` is an isomorphism such that `l ≫ i.hom = f`, the kernel of `f` is a kernel of `l`. -/
 def kernel.ofCompIso [HasKernel f] {Z : C} (l : X ⟶ Z) (i : Z ≅ Y) (h : l ≫ i.hom = f) :
     IsLimit
       (KernelFork.ofι (kernel.ι f) <| show kernel.ι f ≫ l = 0 by simp [← i.comp_inv_eq.2 h.symm]) :=

956af7c7

style: add missing spaces between a tactic name and its arguments (#11714)

After the (d)simp and rw tactics - hints to find further occurrences welcome.

zulip discussion

Co-authored-by: @sven-manthe

7151d90b

Diff

@@ -538,7 +538,7 @@ def IsKernel.isoKernel {Z : C} (l : Z ⟶ X) {s : KernelFork f} (hs : IsLimit s)
     Cones.ext i.symm fun j => by
       cases j
       · exact (Iso.eq_inv_comp i).2 h
-      · dsimp; rw[← h]; simp
+      · dsimp; rw [← h]; simp
 #align category_theory.limits.is_kernel.iso_kernel CategoryTheory.Limits.IsKernel.isoKernel
 
 /-- If `i` is an isomorphism such that `i.hom ≫ kernel.ι f = l`, then `l` is a kernel of `f`. -/

956af7c7

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

@@ -59,7 +59,6 @@ open CategoryTheory.Limits.WalkingParallelPair
 namespace CategoryTheory.Limits
 
 variable {C : Type u} [Category.{v} C]
-
 variable [HasZeroMorphisms C]
 
 /-- A morphism `f` has a kernel if the functor `ParallelPair f 0` has a limit. -/
@@ -1142,7 +1141,6 @@ end Transport
 section Comparison
 
 variable {D : Type u₂} [Category.{v₂} D] [HasZeroMorphisms D]
-
 variable (G : C ⥤ D) [Functor.PreservesZeroMorphisms G]
 
 /-- The comparison morphism for the kernel of `f`.
@@ -1220,7 +1218,6 @@ end CategoryTheory.Limits
 namespace CategoryTheory.Limits
 
 variable (C : Type u) [Category.{v} C]
-
 variable [HasZeroMorphisms C]
 
 /-- `HasKernels` represents the existence of kernels for every morphism. -/

956af7c7

chore: remove useless tactics (#11333)

The removal of some pointless tactics flagged by #11308.

ee18bf38

Diff

@@ -423,10 +423,8 @@ theorem kernel_not_epi_of_nonzero (w : f ≠ 0) : ¬Epi (kernel.ι f) := fun _ =
   w (eq_zero_of_epi_kernel f)
 #align category_theory.limits.kernel_not_epi_of_nonzero CategoryTheory.Limits.kernel_not_epi_of_nonzero
 
-theorem kernel_not_iso_of_nonzero (w : f ≠ 0) : IsIso (kernel.ι f) → False := fun I =>
-  kernel_not_epi_of_nonzero w <| by
-    skip
-    infer_instance
+theorem kernel_not_iso_of_nonzero (w : f ≠ 0) : IsIso (kernel.ι f) → False := fun _ =>
+  kernel_not_epi_of_nonzero w inferInstance
 #align category_theory.limits.kernel_not_iso_of_nonzero CategoryTheory.Limits.kernel_not_iso_of_nonzero
 
 instance hasKernel_comp_mono {X Y Z : C} (f : X ⟶ Y) [HasKernel f] (g : Y ⟶ Z) [Mono g] :
@@ -926,10 +924,8 @@ theorem cokernel_not_mono_of_nonzero (w : f ≠ 0) : ¬Mono (cokernel.π f) := f
   w (eq_zero_of_mono_cokernel f)
 #align category_theory.limits.cokernel_not_mono_of_nonzero CategoryTheory.Limits.cokernel_not_mono_of_nonzero
 
-theorem cokernel_not_iso_of_nonzero (w : f ≠ 0) : IsIso (cokernel.π f) → False := fun I =>
-  cokernel_not_mono_of_nonzero w <| by
-    skip
-    infer_instance
+theorem cokernel_not_iso_of_nonzero (w : f ≠ 0) : IsIso (cokernel.π f) → False := fun _ =>
+  cokernel_not_mono_of_nonzero w inferInstance
 #align category_theory.limits.cokernel_not_iso_of_nonzero CategoryTheory.Limits.cokernel_not_iso_of_nonzero
 
 -- TODO the remainder of this section has obvious generalizations to `HasCoequalizer f g`.

956af7c7

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

@@ -781,7 +781,7 @@ theorem cokernel.π_desc {W : C} (k : Y ⟶ W) (h : f ≫ k = 0) :
   (cokernelIsCokernel f).fac (CokernelCofork.ofπ k h) WalkingParallelPair.one
 #align category_theory.limits.cokernel.π_desc CategoryTheory.Limits.cokernel.π_desc
 
--- porting note: added to ease the port of `Abelian.Exact`
+-- Porting note: added to ease the port of `Abelian.Exact`
 @[reassoc (attr := simp)]
 lemma colimit_ι_zero_cokernel_desc {C : Type*} [Category C]
     [HasZeroMorphisms C] {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) (h : f ≫ g = 0) [HasCokernel f] :

956af7c7

chore: prepare Lean version bump with explicit simp (#10999)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

38bce757

Diff

@@ -127,7 +127,7 @@ def compNatIso {D : Type u'} [Category.{v} D] [HasZeroMorphisms D] (F : C ⥤ D)
     match j with
     | zero => Iso.refl _
     | one => Iso.refl _
-  NatIso.ofComponents app <| by rintro ⟨i⟩ ⟨j⟩ <;> intro g <;> cases g <;> simp
+  NatIso.ofComponents app <| by rintro ⟨i⟩ ⟨j⟩ <;> intro g <;> cases g <;> simp [app]
 #align category_theory.limits.comp_nat_iso CategoryTheory.Limits.compNatIso
 
 end

956af7c7

chore: classify simp can do this porting notes (#10619)

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

de765f60

Diff

@@ -88,7 +88,7 @@ theorem KernelFork.condition (s : KernelFork f) : Fork.ι s ≫ f = 0 := by
   erw [Fork.condition, HasZeroMorphisms.comp_zero]
 #align category_theory.limits.kernel_fork.condition CategoryTheory.Limits.KernelFork.condition
 
--- Porting note: simp can prove this, removed simp tag
+-- Porting note (#10618): simp can prove this, removed simp tag
 theorem KernelFork.app_one (s : KernelFork f) : s.π.app one = 0 := by
   simp [Fork.app_one_eq_ι_comp_right]
 #align category_theory.limits.kernel_fork.app_one CategoryTheory.Limits.KernelFork.app_one
@@ -578,7 +578,7 @@ theorem CokernelCofork.condition (s : CokernelCofork f) : f ≫ s.π = 0 := by
   rw [Cofork.condition, zero_comp]
 #align category_theory.limits.cokernel_cofork.condition CategoryTheory.Limits.CokernelCofork.condition
 
--- Porting note: simp can prove this, removed simp tag
+-- Porting note (#10618): simp can prove this, removed simp tag
 theorem CokernelCofork.π_eq_zero (s : CokernelCofork f) : s.ι.app zero = 0 := by
   simp [Cofork.app_zero_eq_comp_π_right]
 #align category_theory.limits.cokernel_cofork.π_eq_zero CategoryTheory.Limits.CokernelCofork.π_eq_zero

956af7c7

feat: the homology sequence of a short exact sequence of complexes (#8468)

If 0 ⟶ X₁ ⟶ X₂ ⟶ X₃ ⟶ 0 is a short exact sequence in a category of complexes HomologicalComplex C c in an abelian category, then whenever i and j are consecutive degrees, there is a long exact sequence : ... ⟶ X₁.homology i ⟶ X₂.homology i ⟶ X₃.homology i ⟶ X₁.homology j ⟶ ....

0b07d877

Diff

@@ -165,6 +165,14 @@ def KernelFork.IsLimit.ofι {W : C} (g : W ⟶ X) (eq : g ≫ f = 0)
     uniq s.ι s.condition
 #align category_theory.limits.kernel_fork.is_limit.of_ι CategoryTheory.Limits.KernelFork.IsLimit.ofι
 
+/-- This is a more convenient formulation to show that a `KernelFork` of the form
+`KernelFork.ofι i _` is a limit cone when we know that `i` is a monomorphism. -/
+def KernelFork.IsLimit.ofι' {X Y K : C} {f : X ⟶ Y} (i : K ⟶ X) (w : i ≫ f = 0)
+    (h : ∀ {A : C} (k : A ⟶ X) (_ : k ≫ f = 0), { l : A ⟶ K // l ≫ i = k}) [hi : Mono i] :
+    IsLimit (KernelFork.ofι i w) :=
+  ofι _ _ (fun {A} k hk => (h k hk).1) (fun {A} k hk => (h k hk).2) (fun {A} k hk m hm => by
+    rw [← cancel_mono i, (h k hk).2, hm])
+
 /-- Every kernel of `f` induces a kernel of `f ≫ g` if `g` is mono. -/
 def isKernelCompMono {c : KernelFork f} (i : IsLimit c) {Z} (g : Y ⟶ Z) [hg : Mono g] {h : X ⟶ Z}
     (hh : h = f ≫ g) : IsLimit (KernelFork.ofι c.ι (by simp [hh]) : KernelFork h) :=
@@ -631,6 +639,14 @@ def CokernelCofork.IsColimit.ofπ {Z : C} (g : Y ⟶ Z) (eq : f ≫ g = 0)
     uniq s.π s.condition
 #align category_theory.limits.cokernel_cofork.is_colimit.of_π CategoryTheory.Limits.CokernelCofork.IsColimit.ofπ
 
+/-- This is a more convenient formulation to show that a `CokernelCofork` of the form
+`CokernelCofork.ofπ p _` is a colimit cocone when we know that `p` is an epimorphism. -/
+def CokernelCofork.IsColimit.ofπ' {X Y Q : C} {f : X ⟶ Y} (p : Y ⟶ Q) (w : f ≫ p = 0)
+    (h : ∀ {A : C} (k : Y ⟶ A) (_ : f ≫ k = 0), { l : Q ⟶ A // p ≫ l = k}) [hp : Epi p] :
+    IsColimit (CokernelCofork.ofπ p w) :=
+  ofπ _ _ (fun {A} k hk => (h k hk).1) (fun {A} k hk => (h k hk).2) (fun {A} k hk m hm => by
+    rw [← cancel_epi p, (h k hk).2, hm])
+
 /-- Every cokernel of `f` induces a cokernel of `g ≫ f` if `g` is epi. -/
 def isCokernelEpiComp {c : CokernelCofork f} (i : IsColimit c) {W} (g : W ⟶ X) [hg : Epi g]
     {h : W ⟶ Y} (hh : h = g ≫ f) :

956af7c7

chore: space after ← (#8178)

Co-authored-by: Moritz Firsching <firsching@google.com>

5fb9beab

Diff

@@ -533,7 +533,7 @@ def IsKernel.isoKernel {Z : C} (l : Z ⟶ X) {s : KernelFork f} (hs : IsLimit s)
     Cones.ext i.symm fun j => by
       cases j
       · exact (Iso.eq_inv_comp i).2 h
-      · dsimp; rw[←h]; simp
+      · dsimp; rw[← h]; simp
 #align category_theory.limits.is_kernel.iso_kernel CategoryTheory.Limits.IsKernel.isoKernel
 
 /-- If `i` is an isomorphism such that `i.hom ≫ kernel.ι f = l`, then `l` is a kernel of `f`. -/
@@ -798,7 +798,7 @@ abbrev cokernel.map {X' Y' : C} (f' : X' ⟶ Y') [HasCokernel f'] (p : X ⟶ X')
     (w : f ≫ q = p ≫ f') : cokernel f ⟶ cokernel f' :=
   cokernel.desc f (q ≫ cokernel.π f') (by
     have : f ≫ q ≫ π f' = p ≫ f' ≫ π f' := by
-      simp only [←Category.assoc]
+      simp only [← Category.assoc]
       apply congrArg (· ≫ π f') w
     simp [this])
 #align category_theory.limits.cokernel.map CategoryTheory.Limits.cokernel.map
@@ -1114,7 +1114,7 @@ def IsCokernel.cokernelIso {Z : C} (l : Y ⟶ Z) {s : CokernelCofork f} (hs : Is
   IsColimit.ofIsoColimit hs <|
     Cocones.ext i fun j => by
       cases j
-      · dsimp; rw [←h]; simp
+      · dsimp; rw [← h]; simp
       · exact h
 #align category_theory.limits.is_cokernel.cokernel_iso CategoryTheory.Limits.IsCokernel.cokernelIso

956af7c7

feat(CategoryTheory): more API for limit kernel forks (#8200)

In this PR, we introduce KernelFork.mapIsoOfIsLimit which is the isomorphism between the "points" of two limit kernel forks of maps which are isomorphic in the category of arrows. This generalizes kernel.mapIso which is the case where the limit kernel forks are given by limit.isLimit.

f3baa4cf

Diff

@@ -214,6 +214,35 @@ lemma KernelFork.IsLimit.isIso_ι {X Y : C} {f : X ⟶ Y} (c : KernelFork f)
 
 end
 
+namespace KernelFork
+
+variable {f} {X' Y' : C} {f' : X' ⟶ Y'}
+
+/-- The morphism between points of kernel forks induced by a morphism
+in the category of arrows. -/
+def mapOfIsLimit (kf : KernelFork f) {kf' : KernelFork f'} (hf' : IsLimit kf')
+    (φ : Arrow.mk f ⟶ Arrow.mk f') : kf.pt ⟶ kf'.pt :=
+  hf'.lift (KernelFork.ofι (kf.ι ≫ φ.left) (by simp))
+
+@[reassoc (attr := simp)]
+lemma mapOfIsLimit_ι (kf : KernelFork f) {kf' : KernelFork f'} (hf' : IsLimit kf')
+    (φ : Arrow.mk f ⟶ Arrow.mk f') :
+    kf.mapOfIsLimit hf' φ ≫ kf'.ι = kf.ι ≫ φ.left :=
+  hf'.fac _ _
+
+/-- The isomorphism between points of limit kernel forks induced by an isomorphism
+in the category of arrows. -/
+@[simps]
+def mapIsoOfIsLimit {kf : KernelFork f} {kf' : KernelFork f'}
+    (hf : IsLimit kf) (hf' : IsLimit kf')
+    (φ : Arrow.mk f ≅ Arrow.mk f') : kf.pt ≅ kf'.pt where
+  hom := kf.mapOfIsLimit hf' φ.hom
+  inv := kf'.mapOfIsLimit hf φ.inv
+  hom_inv_id := Fork.IsLimit.hom_ext hf (by simp)
+  inv_hom_id := Fork.IsLimit.hom_ext hf' (by simp)
+
+end KernelFork
+
 section
 
 variable [HasKernel f]
@@ -664,6 +693,36 @@ lemma CokernelCofork.IsColimit.isIso_π {X Y : C} {f : X ⟶ Y} (c : CokernelCof
 
 end
 
+namespace CokernelCofork
+
+variable {f} {X' Y' : C} {f' : X' ⟶ Y'}
+
+/-- The morphism between points of cokernel coforks induced by a morphism
+in the category of arrows. -/
+def mapOfIsColimit {cc : CokernelCofork f} (hf : IsColimit cc) (cc' : CokernelCofork f')
+    (φ : Arrow.mk f ⟶ Arrow.mk f') : cc.pt ⟶ cc'.pt :=
+  hf.desc (CokernelCofork.ofπ (φ.right ≫ cc'.π) (by
+    erw [← Arrow.w_assoc φ, condition, comp_zero]))
+
+@[reassoc (attr := simp)]
+lemma π_mapOfIsColimit {cc : CokernelCofork f} (hf : IsColimit cc) (cc' : CokernelCofork f')
+    (φ : Arrow.mk f ⟶ Arrow.mk f') :
+    cc.π ≫ mapOfIsColimit hf cc' φ = φ.right ≫ cc'.π :=
+  hf.fac _ _
+
+/-- The isomorphism between points of limit cokernel coforks induced by an isomorphism
+in the category of arrows. -/
+@[simps]
+def mapIsoOfIsColimit {cc : CokernelCofork f} {cc' : CokernelCofork f'}
+    (hf : IsColimit cc) (hf' : IsColimit cc')
+    (φ : Arrow.mk f ≅ Arrow.mk f') : cc.pt ≅ cc'.pt where
+  hom := mapOfIsColimit hf cc' φ.hom
+  inv := mapOfIsColimit hf' cc φ.inv
+  hom_inv_id := Cofork.IsColimit.hom_ext hf (by simp)
+  inv_hom_id := Cofork.IsColimit.hom_ext hf' (by simp)
+
+end CokernelCofork
+
 section
 
 variable [HasCokernel f]

956af7c7

chore: fix whitespace typos (#7950)

7adc50c4

Diff

@@ -709,7 +709,7 @@ theorem cokernel.π_desc {W : C} (k : Y ⟶ W) (h : f ≫ k = 0) :
 -- porting note: added to ease the port of `Abelian.Exact`
 @[reassoc (attr := simp)]
 lemma colimit_ι_zero_cokernel_desc {C : Type*} [Category C]
-    [HasZeroMorphisms C] {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) (h : f ≫ g = 0) [HasCokernel f]:
+    [HasZeroMorphisms C] {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) (h : f ≫ g = 0) [HasCokernel f] :
     colimit.ι (parallelPair f 0) WalkingParallelPair.zero ≫ cokernel.desc f g h = 0 := by
   rw [(colimit.w (parallelPair f 0) WalkingParallelPairHom.left).symm]
   aesop_cat

956af7c7

chore: banish Type _ and Sort _ (#6499)

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

32de3f67

Diff

@@ -708,7 +708,7 @@ theorem cokernel.π_desc {W : C} (k : Y ⟶ W) (h : f ≫ k = 0) :
 
 -- porting note: added to ease the port of `Abelian.Exact`
 @[reassoc (attr := simp)]
-lemma colimit_ι_zero_cokernel_desc {C : Type _} [Category C]
+lemma colimit_ι_zero_cokernel_desc {C : Type*} [Category C]
     [HasZeroMorphisms C] {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) (h : f ≫ g = 0) [HasCokernel f]:
     colimit.ι (parallelPair f 0) WalkingParallelPair.zero ≫ cokernel.desc f g h = 0 := by
   rw [(colimit.w (parallelPair f 0) WalkingParallelPairHom.left).symm]

956af7c7

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

depends on: #5966

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

89aa3a3b

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2019 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison, Markus Himmel
-
-! This file was ported from Lean 3 source module category_theory.limits.shapes.kernels
-! leanprover-community/mathlib commit 956af7c76589f444f2e1313911bad16366ea476d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Limits.Preserves.Shapes.Zero
 
+#align_import category_theory.limits.shapes.kernels from "leanprover-community/mathlib"@"956af7c76589f444f2e1313911bad16366ea476d"
+
 /-!
 # Kernels and cokernels

956af7c7

chore: cleanup whitespace (#5988)

Grepping for [^ .:{-] [^ :] and reviewing the results. Once I started I couldn't stop. :-)

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

12343aa5

Diff

@@ -499,8 +499,8 @@ def kernel.ofCompIso [HasKernel f] {Z : C} (l : X ⟶ Z) (i : Z ≅ Y) (h : l 
   IsKernel.ofCompIso f l i h <| limit.isLimit _
 #align category_theory.limits.kernel.of_comp_iso CategoryTheory.Limits.kernel.ofCompIso
 
-/-- If `s` is any limit kernel cone over `f` and if  `i` is an isomorphism such that
-    `i.hom ≫ s.ι  = l`, then `l` is a kernel of `f`. -/
+/-- If `s` is any limit kernel cone over `f` and if `i` is an isomorphism such that
+    `i.hom ≫ s.ι = l`, then `l` is a kernel of `f`. -/
 def IsKernel.isoKernel {Z : C} (l : Z ⟶ X) {s : KernelFork f} (hs : IsLimit s) (i : Z ≅ s.pt)
     (h : i.hom ≫ Fork.ι s = l) : IsLimit (KernelFork.ofι l <| show l ≫ f = 0 by simp [← h]) :=
   IsLimit.ofIsoLimit hs <|
@@ -645,7 +645,7 @@ def isCokernelOfComp {W : C} (g : W ⟶ X) (h : W ⟶ Y) {c : CokernelCofork h}
 /-- `Y` identifies to the cokernel of a zero map `X ⟶ Y`. -/
 def CokernelCofork.IsColimit.ofId {X Y : C} (f : X ⟶ Y) (hf : f = 0) :
     IsColimit (CokernelCofork.ofπ (𝟙 Y) (show f ≫ 𝟙 Y = 0 by rw [hf, zero_comp])) :=
-  CokernelCofork.IsColimit.ofπ  _ _ (fun x _ => x) (fun _ _ => Category.id_comp _)
+  CokernelCofork.IsColimit.ofπ _ _ (fun x _ => x) (fun _ _ => Category.id_comp _)
     (fun _ _ _ hb => by simp only [← hb, Category.id_comp])
 
 /-- Any zero object identifies to the cokernel of a given epimorphisms. -/

956af7c7

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

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

dbae2f17

Diff

@@ -222,7 +222,7 @@ section
 variable [HasKernel f]
 
 /-- The kernel of a morphism, expressed as the equalizer with the 0 morphism. -/
-abbrev kernel (f : X ⟶  Y) [HasKernel f] : C :=
+abbrev kernel (f : X ⟶ Y) [HasKernel f] : C :=
   equalizer f 0
 #align category_theory.limits.kernel CategoryTheory.Limits.kernel
 
@@ -258,7 +258,7 @@ theorem kernel.lift_ι {W : C} (k : W ⟶ X) (h : k ≫ f = 0) : kernel.lift f k
 
 @[simp]
 theorem kernel.lift_zero {W : C} {h} : kernel.lift f (0 : W ⟶ X) h = 0 := by
-  apply equalizer.hom_ext; simp
+  ext; simp
 #align category_theory.limits.kernel.lift_zero CategoryTheory.Limits.kernel.lift_zero
 
 instance kernel.lift_mono {W : C} (k : W ⟶ X) (h : k ≫ f = 0) [Mono k] : Mono (kernel.lift f k h) :=
@@ -299,7 +299,7 @@ theorem kernel.lift_map {X Y Z X' Y' Z' : C} (f : X ⟶ Y) (g : Y ⟶ Z) [HasKer
     (f' : X' ⟶ Y') (g' : Y' ⟶ Z') [HasKernel g'] (w' : f' ≫ g' = 0) (p : X ⟶ X') (q : Y ⟶ Y')
     (r : Z ⟶ Z') (h₁ : f ≫ q = p ≫ f') (h₂ : g ≫ r = q ≫ g') :
     kernel.lift g f w ≫ kernel.map g g' q r h₂ = p ≫ kernel.lift g' f' w' := by
-  apply equalizer.hom_ext; simp [h₁]
+  ext; simp [h₁]
 #align category_theory.limits.kernel.lift_map CategoryTheory.Limits.kernel.lift_map
 
 /-- A commuting square of isomorphisms induces an isomorphism of kernels. -/
@@ -312,8 +312,6 @@ def kernel.mapIso {X' Y' : C} (f' : X' ⟶ Y') [HasKernel f'] (p : X ≅ X') (q
       (by
         refine' (cancel_mono q.hom).1 _
         simp [w])
-  hom_inv_id := by apply equalizer.hom_ext; simp
-  inv_hom_id := by apply equalizer.hom_ext; simp
 #align category_theory.limits.kernel.map_iso CategoryTheory.Limits.kernel.mapIso
 
 /-- Every kernel of the zero morphism is an isomorphism -/
@@ -337,7 +335,7 @@ theorem kernelZeroIsoSource_hom : kernelZeroIsoSource.hom = kernel.ι (0 : X ⟶
 @[simp]
 theorem kernelZeroIsoSource_inv :
     kernelZeroIsoSource.inv = kernel.lift (0 : X ⟶ Y) (𝟙 X) (by simp) := by
-  apply equalizer.hom_ext
+  ext
   simp [kernelZeroIsoSource]
 #align category_theory.limits.kernel_zero_iso_source_inv CategoryTheory.Limits.kernelZeroIsoSource_inv
 
@@ -414,8 +412,6 @@ def kernelCompMono {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [HasKernel f] [Mono g
         rw [← cancel_mono g]
         simp)
   inv := kernel.lift _ (kernel.ι _) (by simp)
-  hom_inv_id := by apply equalizer.hom_ext; simp
-  inv_hom_id := by apply equalizer.hom_ext; simp
 #align category_theory.limits.kernel_comp_mono CategoryTheory.Limits.kernelCompMono
 
 instance hasKernel_iso_comp {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [IsIso f] [HasKernel g] :
@@ -436,8 +432,6 @@ def kernelIsIsoComp {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [IsIso f] [HasKernel
     kernel (f ≫ g) ≅ kernel g where
   hom := kernel.lift _ (kernel.ι _ ≫ f) (by simp)
   inv := kernel.lift _ (kernel.ι _ ≫ inv f) (by simp)
-  hom_inv_id := equalizer.hom_ext (by simp)
-  inv_hom_id := equalizer.hom_ext (by simp)
 #align category_theory.limits.kernel_is_iso_comp CategoryTheory.Limits.kernelIsIsoComp
 
 end
@@ -725,7 +719,7 @@ lemma colimit_ι_zero_cokernel_desc {C : Type _} [Category C]
 
 @[simp]
 theorem cokernel.desc_zero {W : C} {h} : cokernel.desc f (0 : Y ⟶ W) h = 0 := by
-  apply coequalizer.hom_ext; simp
+  ext; simp
 #align category_theory.limits.cokernel.desc_zero CategoryTheory.Limits.cokernel.desc_zero
 
 instance cokernel.desc_epi {W : C} (k : Y ⟶ W) (h : f ≫ k = 0) [Epi k] :
@@ -772,7 +766,7 @@ theorem cokernel.map_desc {X Y Z X' Y' Z' : C} (f : X ⟶ Y) [HasCokernel f] (g
     (w : f ≫ g = 0) (f' : X' ⟶ Y') [HasCokernel f'] (g' : Y' ⟶ Z') (w' : f' ≫ g' = 0) (p : X ⟶ X')
     (q : Y ⟶ Y') (r : Z ⟶ Z') (h₁ : f ≫ q = p ≫ f') (h₂ : g ≫ r = q ≫ g') :
     cokernel.map f f' p q h₁ ≫ cokernel.desc f' g' w' = cokernel.desc f g w ≫ r := by
-  apply coequalizer.hom_ext; simp [h₂]
+  ext; simp [h₂]
 #align category_theory.limits.cokernel.map_desc CategoryTheory.Limits.cokernel.map_desc
 
 /-- A commuting square of isomorphisms induces an isomorphism of cokernels. -/
@@ -783,8 +777,6 @@ def cokernel.mapIso {X' Y' : C} (f' : X' ⟶ Y') [HasCokernel f'] (p : X ≅ X')
   inv := cokernel.map f' f p.inv q.inv (by
           refine' (cancel_mono q.hom).1 _
           simp [w])
-  hom_inv_id := by apply coequalizer.hom_ext; simp
-  inv_hom_id := by apply coequalizer.hom_ext; simp
 #align category_theory.limits.cokernel.map_iso CategoryTheory.Limits.cokernel.mapIso
 
 /-- The cokernel of the zero morphism is an isomorphism -/
@@ -804,7 +796,7 @@ def cokernelZeroIsoTarget : cokernel (0 : X ⟶ Y) ≅ Y :=
 @[simp]
 theorem cokernelZeroIsoTarget_hom :
     cokernelZeroIsoTarget.hom = cokernel.desc (0 : X ⟶ Y) (𝟙 Y) (by simp) := by
-  apply coequalizer.hom_ext; simp [cokernelZeroIsoTarget]
+  ext; simp [cokernelZeroIsoTarget]
 #align category_theory.limits.cokernel_zero_iso_target_hom CategoryTheory.Limits.cokernelZeroIsoTarget_hom
 
 @[simp]
@@ -890,8 +882,6 @@ def cokernelCompIsIso {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [HasCokernel f] [I
     cokernel (f ≫ g) ≅ cokernel f where
   hom := cokernel.desc _ (inv g ≫ cokernel.π f) (by simp)
   inv := cokernel.desc _ (g ≫ cokernel.π (f ≫ g)) (by rw [← Category.assoc, cokernel.condition])
-  hom_inv_id := by apply coequalizer.hom_ext; simp
-  inv_hom_id := by apply coequalizer.hom_ext; simp
 #align category_theory.limits.cokernel_comp_is_iso CategoryTheory.Limits.cokernelCompIsIso
 
 instance hasCokernel_epi_comp {X Y : C} (f : X ⟶ Y) [HasCokernel f] {W} (g : W ⟶ X) [Epi g] :
@@ -911,8 +901,6 @@ def cokernelEpiComp {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [Epi f] [HasCokernel
       (by
         rw [← cancel_epi f, ← Category.assoc]
         simp)
-  hom_inv_id := by apply coequalizer.hom_ext; simp
-  inv_hom_id := by apply coequalizer.hom_ext; simp
 #align category_theory.limits.cokernel_epi_comp CategoryTheory.Limits.cokernelEpiComp
 
 end
@@ -995,8 +983,6 @@ def cokernelImageι {X Y : C} (f : X ⟶ Y) [HasImage f] [HasCokernel (image.ι
           congr
           rw [← image.fac f]
         rw [Category.assoc, cokernel.condition, HasZeroMorphisms.comp_zero])
-  hom_inv_id := by apply coequalizer.hom_ext; simp
-  inv_hom_id := by apply coequalizer.hom_ext; simp
 #align category_theory.limits.cokernel_image_ι CategoryTheory.Limits.cokernelImageι
 
 end HasImage
@@ -1111,7 +1097,7 @@ theorem map_lift_kernelComparison [HasKernel f] [HasKernel (G.map f)] {Z : C} {h
     (w : h ≫ f = 0) :
     G.map (kernel.lift _ h w) ≫ kernelComparison f G =
       kernel.lift _ (G.map h) (by simp only [← G.map_comp, w, Functor.map_zero]) := by
-  apply equalizer.hom_ext; simp [← G.map_comp]
+  ext; simp [← G.map_comp]
 #align category_theory.limits.map_lift_kernel_comparison CategoryTheory.Limits.map_lift_kernelComparison
 
 @[reassoc]
@@ -1144,7 +1130,7 @@ theorem cokernelComparison_map_desc [HasCokernel f] [HasCokernel (G.map f)] {Z :
     (w : f ≫ h = 0) :
     cokernelComparison f G ≫ G.map (cokernel.desc _ h w) =
       cokernel.desc _ (G.map h) (by simp only [← G.map_comp, w, Functor.map_zero]) := by
-  apply coequalizer.hom_ext; simp [← G.map_comp]
+  ext; simp [← G.map_comp]
 #align category_theory.limits.cokernel_comparison_map_desc CategoryTheory.Limits.cokernelComparison_map_desc
 
 @[reassoc]

956af7c7

chore: fix backtick in docs (#5077)

I wrote a script to find lines that contain an odd number of backticks

878d95c4

Diff

@@ -135,7 +135,7 @@ def compNatIso {D : Type u'} [Category.{v} D] [HasZeroMorphisms D] (F : C ⥤ D)
 
 end
 
-/-- If `s` is a limit kernel fork and `k : W ⟶ X` satisfies ``k ≫ f = 0`, then there is some
+/-- If `s` is a limit kernel fork and `k : W ⟶ X` satisfies `k ≫ f = 0`, then there is some
     `l : W ⟶ s.X` such that `l ≫ fork.ι s = k`. -/
 def KernelFork.IsLimit.lift' {s : KernelFork f} (hs : IsLimit s) {W : C} (k : W ⟶ X)
     (h : k ≫ f = 0) : { l : W ⟶ s.pt // l ≫ Fork.ι s = k } :=

956af7c7

chore: formatting issues (#4947)

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

5068808d

Diff

@@ -126,7 +126,7 @@ def ofιCongr {P : C} {ι ι' : P ⟶ X} {w : ι ≫ f = 0} (h : ι = ι') :
 def compNatIso {D : Type u'} [Category.{v} D] [HasZeroMorphisms D] (F : C ⥤ D) [IsEquivalence F] :
     parallelPair f 0 ⋙ F ≅ parallelPair (F.map f) 0 :=
   let app (j :WalkingParallelPair) :
-      (parallelPair f 0 ⋙ F).obj j ≅ (parallelPair (F.map f) 0).obj j:=
+      (parallelPair f 0 ⋙ F).obj j ≅ (parallelPair (F.map f) 0).obj j :=
     match j with
     | zero => Iso.refl _
     | one => Iso.refl _

956af7c7

chore: review of automation in category theory (#4793)

Clean up of automation in the category theory library. Leaving out unnecessary proof steps, or fields done by aesop_cat, and making more use of available autoparameters.

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

5b958613

Diff

@@ -118,7 +118,7 @@ def isoOfι (s : Fork f 0) : s ≅ Fork.ofι (Fork.ι s) (Fork.condition s) :=
 /-- If `ι = ι'`, then `fork.ofι ι _` and `fork.ofι ι' _` are isomorphic. -/
 def ofιCongr {P : C} {ι ι' : P ⟶ X} {w : ι ≫ f = 0} (h : ι = ι') :
     KernelFork.ofι ι w ≅ KernelFork.ofι ι' (by rw [← h, w]) :=
-  Cones.ext (Iso.refl _) <| by rintro ⟨j⟩ <;> aesop_cat
+  Cones.ext (Iso.refl _)
 #align category_theory.limits.of_ι_congr CategoryTheory.Limits.ofιCongr
 
 /-- If `F` is an equivalence, then applying `F` to a diagram indexing a (co)kernel of `f` yields
@@ -419,8 +419,8 @@ def kernelCompMono {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [HasKernel f] [Mono g
 #align category_theory.limits.kernel_comp_mono CategoryTheory.Limits.kernelCompMono
 
 instance hasKernel_iso_comp {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [IsIso f] [HasKernel g] :
-    HasKernel (f ≫ g)
-    where exists_limit :=
+    HasKernel (f ≫ g) where
+  exists_limit :=
     ⟨{  cone := KernelFork.ofι (kernel.ι g ≫ inv f) (by simp)
         isLimit := isLimitAux _ (fun s => kernel.lift _ (s.ι ≫ f) (by aesop_cat))
             (by aesop_cat) fun s m w => by
@@ -700,7 +700,7 @@ theorem cokernel.condition : f ≫ cokernel.π f = 0 :=
 /-- The cokernel built from `cokernel.π f` is colimiting. -/
 def cokernelIsCokernel :
     IsColimit (Cofork.ofπ (cokernel.π f) ((cokernel.condition f).trans zero_comp.symm)) :=
-  IsColimit.ofIsoColimit (colimit.isColimit _) (Cofork.ext (Iso.refl _) (by aesop_cat))
+  IsColimit.ofIsoColimit (colimit.isColimit _) (Cofork.ext (Iso.refl _))
 #align category_theory.limits.cokernel_is_cokernel CategoryTheory.Limits.cokernelIsCokernel
 
 /-- Given any morphism `k : Y ⟶ W` such that `f ≫ k = 0`, `k` factors through `cokernel.π f`

956af7c7

feat: completion of ShortComplex.LeftHomology (#4853)

This PR marks the completion of the file Algebra.Homology.ShortComplex.LeftHomology

b3635a95

Diff

@@ -205,6 +205,16 @@ def KernelFork.IsLimit.ofMonoOfIsZero {X Y : C} {f : X ⟶ Y} (c : KernelFork f)
   isLimitAux _ (fun s => 0) (fun s => by rw [zero_comp, ← cancel_mono f, zero_comp, s.condition])
     (fun _ _ _ => h.eq_of_tgt _ _)
 
+lemma KernelFork.IsLimit.isIso_ι {X Y : C} {f : X ⟶ Y} (c : KernelFork f)
+    (hc : IsLimit c) (hf : f = 0) : IsIso c.ι := by
+  let e : c.pt ≅ X := IsLimit.conePointUniqueUpToIso hc
+    (KernelFork.IsLimit.ofId (f : X ⟶ Y) hf)
+  have eq : e.inv ≫ c.ι = 𝟙 X := Fork.IsLimit.lift_ι hc
+  haveI : IsIso (e.inv ≫ c.ι) := by
+    rw [eq]
+    infer_instance
+  exact IsIso.of_isIso_comp_left e.inv c.ι
+
 end
 
 section
@@ -650,6 +660,17 @@ def CokernelCofork.IsColimit.ofEpiOfIsZero {X Y : C} {f : X ⟶ Y} (c : Cokernel
   isColimitAux _ (fun s => 0) (fun s => by rw [comp_zero, ← cancel_epi f, comp_zero, s.condition])
     (fun _ _ _ => h.eq_of_src _ _)
 
+lemma CokernelCofork.IsColimit.isIso_π {X Y : C} {f : X ⟶ Y} (c : CokernelCofork f)
+    (hc : IsColimit c) (hf : f = 0) : IsIso c.π := by
+  let e : c.pt ≅ Y := IsColimit.coconePointUniqueUpToIso hc
+    (CokernelCofork.IsColimit.ofId (f : X ⟶ Y) hf)
+  have eq : c.π ≫ e.hom = 𝟙 Y := Cofork.IsColimit.π_desc hc
+  haveI : IsIso (c.π ≫ e.hom) := by
+    rw [eq]
+    dsimp
+    infer_instance
+  exact IsIso.of_isIso_comp_right c.π e.hom
+
 end
 
 section

956af7c7

feat: basic definitions for Algebra.Homology.ShortComplex.LeftHomology (#4388)

This PR develops notion of LeftHomologyData for a short complex involving two maps f and g, where homology is understood as a quotient (cokernel) of the kernel of the second map g. It also introduces the structure LeftHomologyMapData which will allow computations of induced maps on (left) homology.

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

a513eec1

Diff

@@ -193,6 +193,18 @@ def isKernelOfComp {W : C} (g : Y ⟶ W) (h : X ⟶ W) {c : KernelFork h} (i : I
     apply Fork.IsLimit.hom_ext i; simpa using h
 #align category_theory.limits.is_kernel_of_comp CategoryTheory.Limits.isKernelOfComp
 
+/-- `X` identifies to the kernel of a zero map `X ⟶ Y`. -/
+def KernelFork.IsLimit.ofId {X Y : C} (f : X ⟶ Y) (hf : f = 0) :
+    IsLimit (KernelFork.ofι (𝟙 X) (show 𝟙 X ≫ f = 0 by rw [hf, comp_zero])) :=
+  KernelFork.IsLimit.ofι _ _ (fun x _ => x) (fun _ _ => Category.comp_id _)
+    (fun _ _ _ hb => by simp only [← hb, Category.comp_id])
+
+/-- Any zero object identifies to the kernel of a given monomorphisms. -/
+def KernelFork.IsLimit.ofMonoOfIsZero {X Y : C} {f : X ⟶ Y} (c : KernelFork f)
+    (hf : Mono f) (h : IsZero c.pt) : IsLimit c :=
+  isLimitAux _ (fun s => 0) (fun s => by rw [zero_comp, ← cancel_mono f, zero_comp, s.condition])
+    (fun _ _ _ => h.eq_of_tgt _ _)
+
 end
 
 section
@@ -626,6 +638,18 @@ def isCokernelOfComp {W : C} (g : W ⟶ X) (h : W ⟶ Y) {c : CokernelCofork h}
       simpa using h
 #align category_theory.limits.is_cokernel_of_comp CategoryTheory.Limits.isCokernelOfComp
 
+/-- `Y` identifies to the cokernel of a zero map `X ⟶ Y`. -/
+def CokernelCofork.IsColimit.ofId {X Y : C} (f : X ⟶ Y) (hf : f = 0) :
+    IsColimit (CokernelCofork.ofπ (𝟙 Y) (show f ≫ 𝟙 Y = 0 by rw [hf, zero_comp])) :=
+  CokernelCofork.IsColimit.ofπ  _ _ (fun x _ => x) (fun _ _ => Category.id_comp _)
+    (fun _ _ _ hb => by simp only [← hb, Category.id_comp])
+
+/-- Any zero object identifies to the cokernel of a given epimorphisms. -/
+def CokernelCofork.IsColimit.ofEpiOfIsZero {X Y : C} {f : X ⟶ Y} (c : CokernelCofork f)
+    (hf : Epi f) (h : IsZero c.pt) : IsColimit c :=
+  isColimitAux _ (fun s => 0) (fun s => by rw [comp_zero, ← cancel_epi f, comp_zero, s.condition])
+    (fun _ _ _ => h.eq_of_src _ _)
+
 end
 
 section

956af7c7

chore: fix typos (#4518)

I ran codespell Mathlib and got tired halfway through the suggestions.

92beef58

Diff

@@ -32,7 +32,7 @@ Besides the definition and lifts, we prove
 * `kernel.liftMono`: the lift of a monomorphism `k : W ⟶ X` such that `k ≫ f = 0`
   is still a monomorphism
 * `kernel.isLimitConeZeroCone`: if our category has a zero object, then the map from the zero
-  obect is a kernel map of any monomorphism
+  object is a kernel map of any monomorphism
 * `kernel.ιOfZero`: `kernel.ι (0 : X ⟶ Y)` is an isomorphism
 
 and the corresponding dual statements.

956af7c7

chore: bye-bye, solo bys! (#3825)

This PR puts, with one exception, every single remaining by that lies all by itself on its own line to the previous line, thus matching the current behaviour of start-port.sh. The exception is when the by begins the second or later argument to a tuple or anonymous constructor; see https://github.com/leanprover-community/mathlib4/pull/3825#discussion_r1186702599.

Essentially this is s/\n *by$/ by/g, but with manual editing to satisfy the linter's max-100-char-line requirement. The Python style linter is also modified to catch these "isolated bys".

14167e48

Diff

@@ -400,12 +400,11 @@ instance hasKernel_iso_comp {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [IsIso f] [H
     HasKernel (f ≫ g)
     where exists_limit :=
     ⟨{  cone := KernelFork.ofι (kernel.ι g ≫ inv f) (by simp)
-        isLimit :=
-          isLimitAux _ (fun s => kernel.lift _ (s.ι ≫ f) (by aesop_cat)) (by aesop_cat) fun s m w =>
-            by
-            simp_rw [← w]
-            apply equalizer.hom_ext
-            simp }⟩
+        isLimit := isLimitAux _ (fun s => kernel.lift _ (s.ι ≫ f) (by aesop_cat))
+            (by aesop_cat) fun s m w => by
+          simp_rw [← w]
+          apply equalizer.hom_ext
+          simp }⟩
 #align category_theory.limits.has_kernel_iso_comp CategoryTheory.Limits.hasKernel_iso_comp
 
 /-- When `f` is an isomorphism, the kernel of `f ≫ g` is isomorphic to the kernel of `g`.
@@ -472,10 +471,9 @@ def IsKernel.ofCompIso {Z : C} (l : X ⟶ Z) (i : Z ≅ Y) (h : l ≫ i.hom = f)
     IsLimit
       (KernelFork.ofι (Fork.ι s) <| show Fork.ι s ≫ l = 0 by simp [← i.comp_inv_eq.2 h.symm]) :=
   Fork.IsLimit.mk _ (fun s => hs.lift <| KernelFork.ofι (Fork.ι s) <| by simp [← h])
-    (fun s => by simp) fun s m h =>
-    by
-    apply Fork.IsLimit.hom_ext hs
-    simpa using h
+    (fun s => by simp) fun s m h => by
+      apply Fork.IsLimit.hom_ext hs
+      simpa using h
 #align category_theory.limits.is_kernel.of_comp_iso CategoryTheory.Limits.IsKernel.ofCompIso
 
 /-- If `i` is an isomorphism such that `l ≫ i.hom = f`, then the kernel of `f` is a kernel of `l`.-/
@@ -623,10 +621,9 @@ theorem isCokernelEpiComp_desc {c : CokernelCofork f} (i : IsColimit c) {W} (g :
 def isCokernelOfComp {W : C} (g : W ⟶ X) (h : W ⟶ Y) {c : CokernelCofork h} (i : IsColimit c)
     (hf : f ≫ c.π = 0) (hfg : g ≫ f = h) : IsColimit (CokernelCofork.ofπ c.π hf) :=
   Cofork.IsColimit.mk _ (fun s => i.desc (CokernelCofork.ofπ s.π (by simp [← hfg])))
-    (fun s => by simp only [CokernelCofork.π_ofπ, Cofork.IsColimit.π_desc]) fun s m h =>
-    by
-    apply Cofork.IsColimit.hom_ext i
-    simpa using h
+    (fun s => by simp only [CokernelCofork.π_ofπ, Cofork.IsColimit.π_desc]) fun s m h => by
+      apply Cofork.IsColimit.hom_ext i
+      simpa using h
 #align category_theory.limits.is_cokernel_of_comp CategoryTheory.Limits.isCokernelOfComp
 
 end
@@ -1008,10 +1005,9 @@ def IsCokernel.ofIsoComp {Z : C} (l : Z ⟶ Y) (i : X ≅ Z) (h : i.hom ≫ l =
     IsColimit
       (CokernelCofork.ofπ (Cofork.π s) <| show l ≫ Cofork.π s = 0 by simp [i.eq_inv_comp.2 h]) :=
   Cofork.IsColimit.mk _ (fun s => hs.desc <| CokernelCofork.ofπ (Cofork.π s) <| by simp [← h])
-    (fun s => by simp) fun s m h =>
-    by
-    apply Cofork.IsColimit.hom_ext hs
-    simpa using h
+    (fun s => by simp) fun s m h => by
+      apply Cofork.IsColimit.hom_ext hs
+      simpa using h
 #align category_theory.limits.is_cokernel.of_iso_comp CategoryTheory.Limits.IsCokernel.ofIsoComp
 
 /-- If `i` is an isomorphism such that `i.hom ≫ l = f`, then the cokernel of `f` is a cokernel of

956af7c7

feat: port CategoryTheory.Abelian.Exact (#3638)

Co-authored-by: Moritz Firsching <firsching@google.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr>

e14488e7

Diff

@@ -673,6 +673,14 @@ theorem cokernel.π_desc {W : C} (k : Y ⟶ W) (h : f ≫ k = 0) :
   (cokernelIsCokernel f).fac (CokernelCofork.ofπ k h) WalkingParallelPair.one
 #align category_theory.limits.cokernel.π_desc CategoryTheory.Limits.cokernel.π_desc
 
+-- porting note: added to ease the port of `Abelian.Exact`
+@[reassoc (attr := simp)]
+lemma colimit_ι_zero_cokernel_desc {C : Type _} [Category C]
+    [HasZeroMorphisms C] {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) (h : f ≫ g = 0) [HasCokernel f]:
+    colimit.ι (parallelPair f 0) WalkingParallelPair.zero ≫ cokernel.desc f g h = 0 := by
+  rw [(colimit.w (parallelPair f 0) WalkingParallelPairHom.left).symm]
+  aesop_cat
+
 @[simp]
 theorem cokernel.desc_zero {W : C} {h} : cokernel.desc f (0 : Y ⟶ W) h = 0 := by
   apply coequalizer.hom_ext; simp

956af7c7

chore: port missing instance priorities (#3613)

See discussion at https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/mathport.20drops.20priorities.20in.20.60attribute.20.5Binstance.5D.60. mathport has been dropping the priorities on instances when using the attribute command.

This PR adds back all the priorities, except for local attribute, and instances involving coercions, which I didn't want to mess with.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

b0c1460c

Diff

@@ -1130,7 +1130,7 @@ class HasCokernels : Prop where
   has_colimit : ∀ {X Y : C} (f : X ⟶ Y), HasCokernel f := by infer_instance
 #align category_theory.limits.has_cokernels CategoryTheory.Limits.HasCokernels
 
-attribute [instance] HasKernels.has_limit HasCokernels.has_colimit
+attribute [instance 100] HasKernels.has_limit HasCokernels.has_colimit
 
 instance (priority := 100) hasKernels_of_hasEqualizers [HasEqualizers C] : HasKernels C where
 #align category_theory.limits.has_kernels_of_has_equalizers CategoryTheory.Limits.hasKernels_of_hasEqualizers

956af7c7

chore: strip trailing spaces in lean files (#2828)

vscode is already configured by .vscode/settings.json to trim these on save. It's not clear how they've managed to stick around.

By doing this all in one PR now, it avoids getting random whitespace diffs in PRs later.

This was done with a regex search in vscode,

6ceb5945

Diff

@@ -92,7 +92,7 @@ theorem KernelFork.condition (s : KernelFork f) : Fork.ι s ≫ f = 0 := by
 #align category_theory.limits.kernel_fork.condition CategoryTheory.Limits.KernelFork.condition
 
 -- Porting note: simp can prove this, removed simp tag
-theorem KernelFork.app_one (s : KernelFork f) : s.π.app one = 0 := by 
+theorem KernelFork.app_one (s : KernelFork f) : s.π.app one = 0 := by
   simp [Fork.app_one_eq_ι_comp_right]
 #align category_theory.limits.kernel_fork.app_one CategoryTheory.Limits.KernelFork.app_one
 
@@ -112,23 +112,23 @@ section
 
 /-- Every kernel fork `s` is isomorphic (actually, equal) to `fork.ofι (fork.ι s) _`. -/
 def isoOfι (s : Fork f 0) : s ≅ Fork.ofι (Fork.ι s) (Fork.condition s) :=
-  Cones.ext (Iso.refl _) <| by rintro ⟨j⟩ <;> simp 
+  Cones.ext (Iso.refl _) <| by rintro ⟨j⟩ <;> simp
 #align category_theory.limits.iso_of_ι CategoryTheory.Limits.isoOfι
 
 /-- If `ι = ι'`, then `fork.ofι ι _` and `fork.ofι ι' _` are isomorphic. -/
 def ofιCongr {P : C} {ι ι' : P ⟶ X} {w : ι ≫ f = 0} (h : ι = ι') :
     KernelFork.ofι ι w ≅ KernelFork.ofι ι' (by rw [← h, w]) :=
-  Cones.ext (Iso.refl _) <| by rintro ⟨j⟩ <;> aesop_cat 
+  Cones.ext (Iso.refl _) <| by rintro ⟨j⟩ <;> aesop_cat
 #align category_theory.limits.of_ι_congr CategoryTheory.Limits.ofιCongr
 
 /-- If `F` is an equivalence, then applying `F` to a diagram indexing a (co)kernel of `f` yields
     the diagram indexing the (co)kernel of `F.map f`. -/
 def compNatIso {D : Type u'} [Category.{v} D] [HasZeroMorphisms D] (F : C ⥤ D) [IsEquivalence F] :
     parallelPair f 0 ⋙ F ≅ parallelPair (F.map f) 0 :=
-  let app (j :WalkingParallelPair) : 
-      (parallelPair f 0 ⋙ F).obj j ≅ (parallelPair (F.map f) 0).obj j:=  
-    match j with 
-    | zero => Iso.refl _ 
+  let app (j :WalkingParallelPair) :
+      (parallelPair f 0 ⋙ F).obj j ≅ (parallelPair (F.map f) 0).obj j:=
+    match j with
+    | zero => Iso.refl _
     | one => Iso.refl _
   NatIso.ofComponents app <| by rintro ⟨i⟩ ⟨j⟩ <;> intro g <;> cases g <;> simp
 #align category_theory.limits.comp_nat_iso CategoryTheory.Limits.compNatIso
@@ -290,8 +290,8 @@ def kernel.mapIso {X' Y' : C} (f' : X' ⟶ Y') [HasKernel f'] (p : X ≅ X') (q
       (by
         refine' (cancel_mono q.hom).1 _
         simp [w])
-  hom_inv_id := by apply equalizer.hom_ext; simp 
-  inv_hom_id := by apply equalizer.hom_ext; simp  
+  hom_inv_id := by apply equalizer.hom_ext; simp
+  inv_hom_id := by apply equalizer.hom_ext; simp
 #align category_theory.limits.kernel.map_iso CategoryTheory.Limits.kernel.mapIso
 
 /-- Every kernel of the zero morphism is an isomorphism -/
@@ -332,9 +332,9 @@ theorem kernelIsoOfEq_refl {h : f = f} : kernelIsoOfEq h = Iso.refl (kernel f) :
 
 /- Porting note: induction on Eq is trying instantiate another g...-/
 @[reassoc (attr := simp)]
-theorem kernelIsoOfEq_hom_comp_ι {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h : f = g) : 
-    (kernelIsoOfEq h).hom ≫ kernel.ι g = kernel.ι f := by 
-  cases h; simp 
+theorem kernelIsoOfEq_hom_comp_ι {f g : X ⟶ Y} [HasKernel f] [HasKernel g] (h : f = g) :
+    (kernelIsoOfEq h).hom ≫ kernel.ι g = kernel.ι f := by
+  cases h; simp
 #align category_theory.limits.kernel_iso_of_eq_hom_comp_ι CategoryTheory.Limits.kernelIsoOfEq_hom_comp_ι
 
 @[reassoc (attr := simp)]
@@ -392,8 +392,8 @@ def kernelCompMono {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [HasKernel f] [Mono g
         rw [← cancel_mono g]
         simp)
   inv := kernel.lift _ (kernel.ι _) (by simp)
-  hom_inv_id := by apply equalizer.hom_ext; simp 
-  inv_hom_id := by apply equalizer.hom_ext; simp  
+  hom_inv_id := by apply equalizer.hom_ext; simp
+  inv_hom_id := by apply equalizer.hom_ext; simp
 #align category_theory.limits.kernel_comp_mono CategoryTheory.Limits.kernelCompMono
 
 instance hasKernel_iso_comp {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [IsIso f] [HasKernel g] :
@@ -415,8 +415,8 @@ def kernelIsIsoComp {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [IsIso f] [HasKernel
     kernel (f ≫ g) ≅ kernel g where
   hom := kernel.lift _ (kernel.ι _ ≫ f) (by simp)
   inv := kernel.lift _ (kernel.ι _ ≫ inv f) (by simp)
-  hom_inv_id := equalizer.hom_ext (by simp) 
-  inv_hom_id := equalizer.hom_ext (by simp) 
+  hom_inv_id := equalizer.hom_ext (by simp)
+  inv_hom_id := equalizer.hom_ext (by simp)
 #align category_theory.limits.kernel_is_iso_comp CategoryTheory.Limits.kernelIsIsoComp
 
 end
@@ -459,7 +459,7 @@ def zeroKernelOfCancelZero {X Y : C} (f : X ⟶ Y)
     (hf : ∀ (Z : C) (g : Z ⟶ X) (_ : g ≫ f = 0), g = 0) :
     IsLimit (KernelFork.ofι (0 : 0 ⟶ X) (show 0 ≫ f = 0 by simp)) :=
   Fork.IsLimit.mk _ (fun s => 0) (fun s => by rw [hf _ _ (KernelFork.condition s), zero_comp])
-    fun s m _ => by dsimp; apply HasZeroObject.to_zero_ext 
+    fun s m _ => by dsimp; apply HasZeroObject.to_zero_ext
 #align category_theory.limits.zero_kernel_of_cancel_zero CategoryTheory.Limits.zeroKernelOfCancelZero
 
 end HasZeroObject
@@ -498,7 +498,7 @@ def IsKernel.isoKernel {Z : C} (l : Z ⟶ X) {s : KernelFork f} (hs : IsLimit s)
 
 /-- If `i` is an isomorphism such that `i.hom ≫ kernel.ι f = l`, then `l` is a kernel of `f`. -/
 def kernel.isoKernel [HasKernel f] {Z : C} (l : Z ⟶ X) (i : Z ≅ kernel f)
-    (h : i.hom ≫ kernel.ι f = l) : 
+    (h : i.hom ≫ kernel.ι f = l) :
     IsLimit (@KernelFork.ofι _ _ _ _ _ f _ l <| by simp [← h]) :=
   IsKernel.isoKernel f l (limit.isLimit _) i h
 #align category_theory.limits.kernel.iso_kernel CategoryTheory.Limits.kernel.isoKernel
@@ -696,10 +696,10 @@ def cokernel.desc' {W : C} (k : Y ⟶ W) (h : f ≫ k = 0) :
 /-- A commuting square induces a morphism of cokernels. -/
 abbrev cokernel.map {X' Y' : C} (f' : X' ⟶ Y') [HasCokernel f'] (p : X ⟶ X') (q : Y ⟶ Y')
     (w : f ≫ q = p ≫ f') : cokernel f ⟶ cokernel f' :=
-  cokernel.desc f (q ≫ cokernel.π f') (by 
-    have : f ≫ q ≫ π f' = p ≫ f' ≫ π f' := by 
+  cokernel.desc f (q ≫ cokernel.π f') (by
+    have : f ≫ q ≫ π f' = p ≫ f' ≫ π f' := by
       simp only [←Category.assoc]
-      apply congrArg (· ≫ π f') w 
+      apply congrArg (· ≫ π f') w
     simp [this])
 #align category_theory.limits.cokernel.map CategoryTheory.Limits.cokernel.map
 
@@ -733,8 +733,8 @@ def cokernel.mapIso {X' Y' : C} (f' : X' ⟶ Y') [HasCokernel f'] (p : X ≅ X')
   inv := cokernel.map f' f p.inv q.inv (by
           refine' (cancel_mono q.hom).1 _
           simp [w])
-  hom_inv_id := by apply coequalizer.hom_ext; simp 
-  inv_hom_id := by apply coequalizer.hom_ext; simp 
+  hom_inv_id := by apply coequalizer.hom_ext; simp
+  inv_hom_id := by apply coequalizer.hom_ext; simp
 #align category_theory.limits.cokernel.map_iso CategoryTheory.Limits.cokernel.mapIso
 
 /-- The cokernel of the zero morphism is an isomorphism -/
@@ -820,7 +820,7 @@ theorem cokernel_not_iso_of_nonzero (w : f ≠ 0) : IsIso (cokernel.π f) → Fa
 
 -- TODO the remainder of this section has obvious generalizations to `HasCoequalizer f g`.
 instance hasCokernel_comp_iso {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [HasCokernel f] [IsIso g] :
-    HasCokernel (f ≫ g) where 
+    HasCokernel (f ≫ g) where
   exists_colimit :=
     ⟨{  cocone := CokernelCofork.ofπ (inv g ≫ cokernel.π f) (by simp)
         isColimit :=
@@ -841,7 +841,7 @@ def cokernelCompIsIso {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [HasCokernel f] [I
   hom := cokernel.desc _ (inv g ≫ cokernel.π f) (by simp)
   inv := cokernel.desc _ (g ≫ cokernel.π (f ≫ g)) (by rw [← Category.assoc, cokernel.condition])
   hom_inv_id := by apply coequalizer.hom_ext; simp
-  inv_hom_id := by apply coequalizer.hom_ext; simp 
+  inv_hom_id := by apply coequalizer.hom_ext; simp
 #align category_theory.limits.cokernel_comp_is_iso CategoryTheory.Limits.cokernelCompIsIso
 
 instance hasCokernel_epi_comp {X Y : C} (f : X ⟶ Y) [HasCokernel f] {W} (g : W ⟶ X) [Epi g] :
@@ -862,7 +862,7 @@ def cokernelEpiComp {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z) [Epi f] [HasCokernel
         rw [← cancel_epi f, ← Category.assoc]
         simp)
   hom_inv_id := by apply coequalizer.hom_ext; simp
-  inv_hom_id := by apply coequalizer.hom_ext; simp 
+  inv_hom_id := by apply coequalizer.hom_ext; simp
 #align category_theory.limits.cokernel_epi_comp CategoryTheory.Limits.cokernelEpiComp
 
 end
@@ -946,7 +946,7 @@ def cokernelImageι {X Y : C} (f : X ⟶ Y) [HasImage f] [HasCokernel (image.ι
           rw [← image.fac f]
         rw [Category.assoc, cokernel.condition, HasZeroMorphisms.comp_zero])
   hom_inv_id := by apply coequalizer.hom_ext; simp
-  inv_hom_id := by apply coequalizer.hom_ext; simp 
+  inv_hom_id := by apply coequalizer.hom_ext; simp
 #align category_theory.limits.cokernel_image_ι CategoryTheory.Limits.cokernelImageι
 
 end HasImage
@@ -985,7 +985,7 @@ def zeroCokernelOfZeroCancel {X Y : C} (f : X ⟶ Y)
     (hf : ∀ (Z : C) (g : Y ⟶ Z) (_ : f ≫ g = 0), g = 0) :
     IsColimit (CokernelCofork.ofπ (0 : Y ⟶ 0) (show f ≫ 0 = 0 by simp)) :=
   Cofork.IsColimit.mk _ (fun s => 0)
-    (fun s => by rw [hf _ _ (CokernelCofork.condition s), comp_zero]) fun s m _ => by 
+    (fun s => by rw [hf _ _ (CokernelCofork.condition s), comp_zero]) fun s m _ => by
       apply HasZeroObject.from_zero_ext
 #align category_theory.limits.zero_cokernel_of_zero_cancel CategoryTheory.Limits.zeroCokernelOfZeroCancel
 
@@ -1029,7 +1029,7 @@ def IsCokernel.cokernelIso {Z : C} (l : Y ⟶ Z) {s : CokernelCofork f} (hs : Is
 
 /-- If `i` is an isomorphism such that `cokernel.π f ≫ i.hom = l`, then `l` is a cokernel of `f`. -/
 def cokernel.cokernelIso [HasCokernel f] {Z : C} (l : Y ⟶ Z) (i : cokernel f ≅ Z)
-    (h : cokernel.π f ≫ i.hom = l) : 
+    (h : cokernel.π f ≫ i.hom = l) :
     IsColimit (@CokernelCofork.ofπ _ _ _ _ _ f _ l <| by simp [← h]) :=
   IsCokernel.cokernelIso f l (colimit.isColimit _) i h
 #align category_theory.limits.cokernel.cokernel_iso CategoryTheory.Limits.cokernel.cokernelIso
@@ -1140,4 +1140,3 @@ instance (priority := 100) hasCokernels_of_hasCoequalizers [HasCoequalizers C] :
 #align category_theory.limits.has_cokernels_of_has_coequalizers CategoryTheory.Limits.hasCokernels_of_hasCoequalizers
 
 end CategoryTheory.Limits
-

956af7c7

feat: port CategoryTheory.Limits.Shapes.Kernels (#2636)

Co-authored-by: Johan Commelin <johan@commelin.net>

b14d04a2

`category_theory.limits.shapes.kernels` ⟷ `Mathlib.CategoryTheory.Limits.Shapes.Kernels`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 120

category_theory.limits.shapes.kernels ⟷ Mathlib.CategoryTheory.Limits.Shapes.Kernels

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 120

`category_theory.limits.shapes.kernels` ⟷ `Mathlib.CategoryTheory.Limits.Shapes.Kernels`