category_theory.idempotents.functor_extension

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

5f68029a

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

19cb3751

bump to nightly-2024-04-29-08

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

6607d135

Diff

@@ -318,7 +318,7 @@ theorem whiskeringLeft_obj_preimage_app {F G : Karoubi C ⥤ D}
   by
   rw [nat_trans_eq]
   congr 2
-  exact congr_app (((whiskering_left _ _ _).obj (to_karoubi _)).image_preimage τ) P.X
+  exact congr_app (((whiskering_left _ _ _).obj (to_karoubi _)).map_preimage τ) P.X
 #align category_theory.idempotents.whiskering_left_obj_preimage_app CategoryTheory.Idempotents.whiskeringLeft_obj_preimage_app
 -/

19cb3751

bump to nightly-2024-04-14-09

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

f736ea6b

Diff

@@ -251,7 +251,7 @@ section IsIdempotentComplete
 
 variable [IsIdempotentComplete D]
 
-noncomputable instance : IsEquivalence (toKaroubi D) :=
+noncomputable instance : CategoryTheory.Functor.IsEquivalence (toKaroubi D) :=
   toKaroubiIsEquivalence D
 
 #print CategoryTheory.Idempotents.karoubiUniversal₂ /-
@@ -269,7 +269,7 @@ theorem karoubiUniversal₂_functor_eq : (karoubiUniversal₂ C D).Functor = fun
 #align category_theory.idempotents.karoubi_universal₂_functor_eq CategoryTheory.Idempotents.karoubiUniversal₂_functor_eq
 -/
 
-noncomputable instance : IsEquivalence (functorExtension₂ C D) := by
+noncomputable instance : CategoryTheory.Functor.IsEquivalence (functorExtension₂ C D) := by
   rw [← karoubi_universal₂_functor_eq]; infer_instance
 
 #print CategoryTheory.Idempotents.functorExtension /-
@@ -296,13 +296,14 @@ theorem karoubiUniversal_functor_eq : (karoubiUniversal C D).Functor = functorEx
 #align category_theory.idempotents.karoubi_universal_functor_eq CategoryTheory.Idempotents.karoubiUniversal_functor_eq
 -/
 
-noncomputable instance : IsEquivalence (functorExtension C D) := by
+noncomputable instance : CategoryTheory.Functor.IsEquivalence (functorExtension C D) := by
   rw [← karoubi_universal_functor_eq]; infer_instance
 
-noncomputable instance : IsEquivalence ((whiskeringLeft C (Karoubi C) D).obj (toKaroubi C)) :=
-  IsEquivalence.cancelCompRight _
+noncomputable instance :
+    CategoryTheory.Functor.IsEquivalence ((whiskeringLeft C (Karoubi C) D).obj (toKaroubi C)) :=
+  CategoryTheory.Functor.IsEquivalence.cancelCompRight _
     ((whiskeringRight C _ _).obj (toKaroubi D) ⋙ (whiskeringRight C _ _).obj (toKaroubi D).inv)
-    (IsEquivalence.ofEquivalence
+    (CategoryTheory.Functor.IsEquivalence.ofEquivalence
       (@Equivalence.congrRight _ _ _ _ C _
         ((toKaroubi D).asEquivalence.trans (toKaroubi D).asEquivalence.symm)))
     (by change is_equivalence (karoubi_universal C D).inverse; infer_instance)

19cb3751

bump to nightly-2024-03-17-08

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

22f01ce4

Diff

@@ -83,7 +83,7 @@ def map {F G : C ⥤ Karoubi D} (φ : F ⟶ G) : obj F ⟶ obj G
       comm := by
         have h := φ.naturality P.p
         have h' := F.congr_map P.idem
-        simp only [hom_ext, karoubi.comp_f, F.map_comp] at h h' 
+        simp only [hom_ext, karoubi.comp_f, F.map_comp] at h h'
         simp only [obj_obj_p, assoc, ← h]
         slice_rhs 1 3 => rw [h', h'] }
   naturality' P Q f := by
@@ -116,7 +116,7 @@ def functorExtension₁ : (C ⥤ Karoubi D) ⥤ Karoubi C ⥤ Karoubi D
     simp only [comp_f, functor_extension₁.map_app_f, nat_trans.comp_app, assoc]
     have h := φ.naturality P.p
     have h' := F.congr_map P.idem
-    simp only [hom_ext, comp_f, F.map_comp] at h h' 
+    simp only [hom_ext, comp_f, F.map_comp] at h h'
     slice_rhs 2 3 => rw [← h]
     slice_rhs 1 2 => rw [h']
     simp only [assoc]

19cb3751

bump to nightly-2023-11-29-11

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

049e2cad

Diff

@@ -123,7 +123,6 @@ def functorExtension₁ : (C ⥤ Karoubi D) ⥤ Karoubi C ⥤ Karoubi D
 #align category_theory.idempotents.functor_extension₁ CategoryTheory.Idempotents.functorExtension₁
 -/
 
-#print CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi /-
 theorem functorExtension₁_comp_whiskeringLeft_toKaroubi :
     functorExtension₁ C D ⋙ (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C) = 𝟭 _ :=
   by
@@ -148,16 +147,15 @@ theorem functorExtension₁_comp_whiskeringLeft_toKaroubi :
     simp only [eq_to_hom_app, F.map_id, comp_f, eq_to_hom_f, id_eq, p_comp, eq_to_hom_refl, comp_id,
       comp_p, functor_extension₁.obj_obj_p, to_karoubi_obj_p, F.map_id X]
 #align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi
--/
 
-#print CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi_iso /-
+#print CategoryTheory.Idempotents.functorExtension₁CompWhiskeringLeftToKaroubiIso /-
 /-- The natural isomorphism expressing that functors `karoubi C ⥤ karoubi D` obtained
 using `functor_extension₁` actually extends the original functors `C ⥤ karoubi D`. -/
 @[simps]
-def functorExtension₁_comp_whiskeringLeft_toKaroubi_iso :
+def functorExtension₁CompWhiskeringLeftToKaroubiIso :
     functorExtension₁ C D ⋙ (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C) ≅ 𝟭 _ :=
   eqToIso (functorExtension₁_comp_whiskeringLeft_toKaroubi C D)
-#align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi_iso CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi_iso
+#align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi_iso CategoryTheory.Idempotents.functorExtension₁CompWhiskeringLeftToKaroubiIso
 -/
 
 #print CategoryTheory.Idempotents.KaroubiUniversal₁.counitIso /-
@@ -206,7 +204,7 @@ def karoubiUniversal₁ : C ⥤ Karoubi D ≌ Karoubi C ⥤ Karoubi D
     where
   Functor := functorExtension₁ C D
   inverse := (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C)
-  unitIso := (functorExtension₁_comp_whiskeringLeft_toKaroubi_iso C D).symm
+  unitIso := (functorExtension₁CompWhiskeringLeftToKaroubiIso C D).symm
   counitIso := KaroubiUniversal₁.counitIso C D
   functor_unitIso_comp' F := by
     ext P
@@ -216,13 +214,11 @@ def karoubiUniversal₁ : C ⥤ Karoubi D ≌ Karoubi C ⥤ Karoubi D
 #align category_theory.idempotents.karoubi_universal₁ CategoryTheory.Idempotents.karoubiUniversal₁
 -/
 
-#print CategoryTheory.Idempotents.functorExtension₁_comp /-
 theorem functorExtension₁_comp (F : C ⥤ Karoubi D) (G : D ⥤ Karoubi E) :
     (functorExtension₁ C E).obj (F ⋙ (functorExtension₁ D E).obj G) =
       (functorExtension₁ C D).obj F ⋙ (functorExtension₁ D E).obj G :=
   Functor.ext (by tidy) fun X Y f => by dsimp; simpa only [id_comp, comp_id]
 #align category_theory.idempotents.functor_extension₁_comp CategoryTheory.Idempotents.functorExtension₁_comp
--/
 
 #print CategoryTheory.Idempotents.functorExtension₂ /-
 /-- The canonical functor `(C ⥤ D) ⥤ (karoubi C ⥤ karoubi D)` -/
@@ -232,7 +228,6 @@ def functorExtension₂ : (C ⥤ D) ⥤ Karoubi C ⥤ Karoubi D :=
 #align category_theory.idempotents.functor_extension₂ CategoryTheory.Idempotents.functorExtension₂
 -/
 
-#print CategoryTheory.Idempotents.functorExtension₂_comp_whiskeringLeft_toKaroubi /-
 theorem functorExtension₂_comp_whiskeringLeft_toKaroubi :
     functorExtension₂ C D ⋙ (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C) =
       (whiskeringRight C D (Karoubi D)).obj (toKaroubi D) :=
@@ -240,7 +235,6 @@ theorem functorExtension₂_comp_whiskeringLeft_toKaroubi :
   simp only [functor_extension₂, functor.assoc, functor_extension₁_comp_whiskering_left_to_karoubi,
     functor.comp_id]
 #align category_theory.idempotents.functor_extension₂_comp_whiskering_left_to_karoubi CategoryTheory.Idempotents.functorExtension₂_comp_whiskeringLeft_toKaroubi
--/
 
 #print CategoryTheory.Idempotents.functorExtension₂CompWhiskeringLeftToKaroubiIso /-
 /-- The natural isomorphism expressing that functors `karoubi C ⥤ karoubi D` obtained

19cb3751

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) 2022 Joël Riou. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joël Riou
 -/
-import Mathbin.CategoryTheory.Idempotents.Karoubi
+import CategoryTheory.Idempotents.Karoubi
 
 #align_import category_theory.idempotents.functor_extension from "leanprover-community/mathlib"@"19cb3751e5e9b3d97adb51023949c50c13b5fdfd"

19cb3751

bump to nightly-2023-08-14-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504

2a133c4b

Diff

@@ -258,7 +258,7 @@ section IsIdempotentComplete
 variable [IsIdempotentComplete D]
 
 noncomputable instance : IsEquivalence (toKaroubi D) :=
-  toKaroubi_isEquivalence D
+  toKaroubiIsEquivalence D
 
 #print CategoryTheory.Idempotents.karoubiUniversal₂ /-
 /-- The equivalence of categories `(C ⥤ D) ≌ (karoubi C ⥤ karoubi D)` when `D`
@@ -284,7 +284,7 @@ when `D` is idempotent compltete. -/
 @[simps]
 noncomputable def functorExtension : (C ⥤ D) ⥤ Karoubi C ⥤ D :=
   functorExtension₂ C D ⋙
-    (whiskeringRight (Karoubi C) (Karoubi D) D).obj (toKaroubi_isEquivalence D).inverse
+    (whiskeringRight (Karoubi C) (Karoubi D) D).obj (toKaroubiIsEquivalence D).inverse
 #align category_theory.idempotents.functor_extension CategoryTheory.Idempotents.functorExtension
 -/

19cb3751

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) 2022 Joël Riou. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joël Riou
-
-! This file was ported from Lean 3 source module category_theory.idempotents.functor_extension
-! leanprover-community/mathlib commit 19cb3751e5e9b3d97adb51023949c50c13b5fdfd
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Idempotents.Karoubi
 
+#align_import category_theory.idempotents.functor_extension from "leanprover-community/mathlib"@"19cb3751e5e9b3d97adb51023949c50c13b5fdfd"
+
 /-!
 # Extension of functors to the idempotent completion

19cb3751

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -45,6 +45,7 @@ namespace Idempotents
 
 variable {C D E : Type _} [Category C] [Category D] [Category E]
 
+#print CategoryTheory.Idempotents.natTrans_eq /-
 /-- A natural transformation between functors `karoubi C ⥤ D` is determined
 by its value on objects coming from `C`. -/
 theorem natTrans_eq {F G : Karoubi C ⥤ D} (φ : F ⟶ G) (P : Karoubi C) :
@@ -57,9 +58,11 @@ theorem natTrans_eq {F G : Karoubi C ⥤ D} (φ : F ⟶ G) (P : Karoubi C) :
   congr
   apply decomp_id
 #align category_theory.idempotents.nat_trans_eq CategoryTheory.Idempotents.natTrans_eq
+-/
 
 namespace FunctorExtension₁
 
+#print CategoryTheory.Idempotents.FunctorExtension₁.obj /-
 /-- The canonical extension of a functor `C ⥤ karoubi D` to a functor
 `karoubi C ⥤ karoubi D` -/
 @[simps]
@@ -69,7 +72,9 @@ def obj (F : C ⥤ Karoubi D) : Karoubi C ⥤ Karoubi D
     ⟨(F.obj P.pt).pt, (F.map P.p).f, by simpa only [F.map_comp, hom_ext] using F.congr_map P.idem⟩
   map P Q f := ⟨(F.map f.f).f, by simpa only [F.map_comp, hom_ext] using F.congr_map f.comm⟩
 #align category_theory.idempotents.functor_extension₁.obj CategoryTheory.Idempotents.FunctorExtension₁.obj
+-/
 
+#print CategoryTheory.Idempotents.FunctorExtension₁.map /-
 /-- Extension of a natural transformation `φ` between functors
 `C ⥤ karoubi D` to a natural transformation between the
 extension of these functors to `karoubi C ⥤ karoubi D` -/
@@ -95,11 +100,13 @@ def map {F G : C ⥤ Karoubi D} (φ : F ⟶ G) : obj F ⟶ obj G
     slice_lhs 1 2 => rw [h']
     slice_rhs 1 2 => rw [h'']
 #align category_theory.idempotents.functor_extension₁.map CategoryTheory.Idempotents.FunctorExtension₁.map
+-/
 
 end FunctorExtension₁
 
 variable (C D E)
 
+#print CategoryTheory.Idempotents.functorExtension₁ /-
 /-- The canonical functor `(C ⥤ karoubi D) ⥤ (karoubi C ⥤ karoubi D)` -/
 @[simps]
 def functorExtension₁ : (C ⥤ Karoubi D) ⥤ Karoubi C ⥤ Karoubi D
@@ -117,7 +124,9 @@ def functorExtension₁ : (C ⥤ Karoubi D) ⥤ Karoubi C ⥤ Karoubi D
     slice_rhs 1 2 => rw [h']
     simp only [assoc]
 #align category_theory.idempotents.functor_extension₁ CategoryTheory.Idempotents.functorExtension₁
+-/
 
+#print CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi /-
 theorem functorExtension₁_comp_whiskeringLeft_toKaroubi :
     functorExtension₁ C D ⋙ (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C) = 𝟭 _ :=
   by
@@ -142,7 +151,9 @@ theorem functorExtension₁_comp_whiskeringLeft_toKaroubi :
     simp only [eq_to_hom_app, F.map_id, comp_f, eq_to_hom_f, id_eq, p_comp, eq_to_hom_refl, comp_id,
       comp_p, functor_extension₁.obj_obj_p, to_karoubi_obj_p, F.map_id X]
 #align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi
+-/
 
+#print CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi_iso /-
 /-- The natural isomorphism expressing that functors `karoubi C ⥤ karoubi D` obtained
 using `functor_extension₁` actually extends the original functors `C ⥤ karoubi D`. -/
 @[simps]
@@ -150,7 +161,9 @@ def functorExtension₁_comp_whiskeringLeft_toKaroubi_iso :
     functorExtension₁ C D ⋙ (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C) ≅ 𝟭 _ :=
   eqToIso (functorExtension₁_comp_whiskeringLeft_toKaroubi C D)
 #align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi_iso CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi_iso
+-/
 
+#print CategoryTheory.Idempotents.KaroubiUniversal₁.counitIso /-
 /-- The counit isomorphism of the equivalence `(C ⥤ karoubi D) ≌ (karoubi C ⥤ karoubi D)`. -/
 @[simps]
 def KaroubiUniversal₁.counitIso :
@@ -187,7 +200,9 @@ def KaroubiUniversal₁.counitIso :
     simpa only [nat_trans_eq φ P, comp_f, functor_extension₁.map_app_f, functor.comp_map,
       whisker_left_app, assoc, P.decomp_p, G₁.map_comp]
 #align category_theory.idempotents.karoubi_universal₁.counit_iso CategoryTheory.Idempotents.KaroubiUniversal₁.counitIso
+-/
 
+#print CategoryTheory.Idempotents.karoubiUniversal₁ /-
 /-- The equivalence of categories `(C ⥤ karoubi D) ≌ (karoubi C ⥤ karoubi D)`. -/
 @[simps]
 def karoubiUniversal₁ : C ⥤ Karoubi D ≌ Karoubi C ⥤ Karoubi D
@@ -202,19 +217,25 @@ def karoubiUniversal₁ : C ⥤ Karoubi D ≌ Karoubi C ⥤ Karoubi D
     simpa only [comp_f, eq_to_hom_app, eq_to_hom_f, eq_to_hom_refl, comp_id, hom_ext, F.map_comp,
       comp_p] using F.congr_map P.idem
 #align category_theory.idempotents.karoubi_universal₁ CategoryTheory.Idempotents.karoubiUniversal₁
+-/
 
+#print CategoryTheory.Idempotents.functorExtension₁_comp /-
 theorem functorExtension₁_comp (F : C ⥤ Karoubi D) (G : D ⥤ Karoubi E) :
     (functorExtension₁ C E).obj (F ⋙ (functorExtension₁ D E).obj G) =
       (functorExtension₁ C D).obj F ⋙ (functorExtension₁ D E).obj G :=
   Functor.ext (by tidy) fun X Y f => by dsimp; simpa only [id_comp, comp_id]
 #align category_theory.idempotents.functor_extension₁_comp CategoryTheory.Idempotents.functorExtension₁_comp
+-/
 
+#print CategoryTheory.Idempotents.functorExtension₂ /-
 /-- The canonical functor `(C ⥤ D) ⥤ (karoubi C ⥤ karoubi D)` -/
 @[simps]
 def functorExtension₂ : (C ⥤ D) ⥤ Karoubi C ⥤ Karoubi D :=
   (whiskeringRight C D (Karoubi D)).obj (toKaroubi D) ⋙ functorExtension₁ C D
 #align category_theory.idempotents.functor_extension₂ CategoryTheory.Idempotents.functorExtension₂
+-/
 
+#print CategoryTheory.Idempotents.functorExtension₂_comp_whiskeringLeft_toKaroubi /-
 theorem functorExtension₂_comp_whiskeringLeft_toKaroubi :
     functorExtension₂ C D ⋙ (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C) =
       (whiskeringRight C D (Karoubi D)).obj (toKaroubi D) :=
@@ -222,7 +243,9 @@ theorem functorExtension₂_comp_whiskeringLeft_toKaroubi :
   simp only [functor_extension₂, functor.assoc, functor_extension₁_comp_whiskering_left_to_karoubi,
     functor.comp_id]
 #align category_theory.idempotents.functor_extension₂_comp_whiskering_left_to_karoubi CategoryTheory.Idempotents.functorExtension₂_comp_whiskeringLeft_toKaroubi
+-/
 
+#print CategoryTheory.Idempotents.functorExtension₂CompWhiskeringLeftToKaroubiIso /-
 /-- The natural isomorphism expressing that functors `karoubi C ⥤ karoubi D` obtained
 using `functor_extension₂` actually extends the original functors `C ⥤ D`. -/
 @[simps]
@@ -231,6 +254,7 @@ def functorExtension₂CompWhiskeringLeftToKaroubiIso :
       (whiskeringRight C D (Karoubi D)).obj (toKaroubi D) :=
   eqToIso (functorExtension₂_comp_whiskeringLeft_toKaroubi C D)
 #align category_theory.idempotents.functor_extension₂_comp_whiskering_left_to_karoubi_iso CategoryTheory.Idempotents.functorExtension₂CompWhiskeringLeftToKaroubiIso
+-/
 
 section IsIdempotentComplete
 
@@ -239,20 +263,25 @@ variable [IsIdempotentComplete D]
 noncomputable instance : IsEquivalence (toKaroubi D) :=
   toKaroubi_isEquivalence D
 
+#print CategoryTheory.Idempotents.karoubiUniversal₂ /-
 /-- The equivalence of categories `(C ⥤ D) ≌ (karoubi C ⥤ karoubi D)` when `D`
 is idempotent complete. -/
 @[simps]
 noncomputable def karoubiUniversal₂ : C ⥤ D ≌ Karoubi C ⥤ Karoubi D :=
   (Equivalence.congrRight (toKaroubi D).asEquivalence).trans (karoubiUniversal₁ C D)
 #align category_theory.idempotents.karoubi_universal₂ CategoryTheory.Idempotents.karoubiUniversal₂
+-/
 
+#print CategoryTheory.Idempotents.karoubiUniversal₂_functor_eq /-
 theorem karoubiUniversal₂_functor_eq : (karoubiUniversal₂ C D).Functor = functorExtension₂ C D :=
   rfl
 #align category_theory.idempotents.karoubi_universal₂_functor_eq CategoryTheory.Idempotents.karoubiUniversal₂_functor_eq
+-/
 
 noncomputable instance : IsEquivalence (functorExtension₂ C D) := by
   rw [← karoubi_universal₂_functor_eq]; infer_instance
 
+#print CategoryTheory.Idempotents.functorExtension /-
 /-- The extension of functors functor `(C ⥤ D) ⥤ (karoubi C ⥤ D)`
 when `D` is idempotent compltete. -/
 @[simps]
@@ -260,16 +289,21 @@ noncomputable def functorExtension : (C ⥤ D) ⥤ Karoubi C ⥤ D :=
   functorExtension₂ C D ⋙
     (whiskeringRight (Karoubi C) (Karoubi D) D).obj (toKaroubi_isEquivalence D).inverse
 #align category_theory.idempotents.functor_extension CategoryTheory.Idempotents.functorExtension
+-/
 
+#print CategoryTheory.Idempotents.karoubiUniversal /-
 /-- The equivalence `(C ⥤ D) ≌ (karoubi C ⥤ D)` when `D` is idempotent complete. -/
 @[simps]
 noncomputable def karoubiUniversal : C ⥤ D ≌ Karoubi C ⥤ D :=
   (karoubiUniversal₂ C D).trans (Equivalence.congrRight (toKaroubi D).asEquivalence.symm)
 #align category_theory.idempotents.karoubi_universal CategoryTheory.Idempotents.karoubiUniversal
+-/
 
+#print CategoryTheory.Idempotents.karoubiUniversal_functor_eq /-
 theorem karoubiUniversal_functor_eq : (karoubiUniversal C D).Functor = functorExtension C D :=
   rfl
 #align category_theory.idempotents.karoubi_universal_functor_eq CategoryTheory.Idempotents.karoubiUniversal_functor_eq
+-/
 
 noncomputable instance : IsEquivalence (functorExtension C D) := by
   rw [← karoubi_universal_functor_eq]; infer_instance
@@ -284,6 +318,7 @@ noncomputable instance : IsEquivalence ((whiskeringLeft C (Karoubi C) D).obj (to
 
 variable {C D}
 
+#print CategoryTheory.Idempotents.whiskeringLeft_obj_preimage_app /-
 theorem whiskeringLeft_obj_preimage_app {F G : Karoubi C ⥤ D}
     (τ : toKaroubi _ ⋙ F ⟶ toKaroubi _ ⋙ G) (P : Karoubi C) :
     (((whiskeringLeft _ _ _).obj (toKaroubi _)).preimage τ).app P =
@@ -293,6 +328,7 @@ theorem whiskeringLeft_obj_preimage_app {F G : Karoubi C ⥤ D}
   congr 2
   exact congr_app (((whiskering_left _ _ _).obj (to_karoubi _)).image_preimage τ) P.X
 #align category_theory.idempotents.whiskering_left_obj_preimage_app CategoryTheory.Idempotents.whiskeringLeft_obj_preimage_app
+-/
 
 end IsIdempotentComplete

19cb3751

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -81,7 +81,7 @@ def map {F G : C ⥤ Karoubi D} (φ : F ⟶ G) : obj F ⟶ obj G
       comm := by
         have h := φ.naturality P.p
         have h' := F.congr_map P.idem
-        simp only [hom_ext, karoubi.comp_f, F.map_comp] at h h'
+        simp only [hom_ext, karoubi.comp_f, F.map_comp] at h h' 
         simp only [obj_obj_p, assoc, ← h]
         slice_rhs 1 3 => rw [h', h'] }
   naturality' P Q f := by
@@ -90,7 +90,7 @@ def map {F G : C ⥤ Karoubi D} (φ : F ⟶ G) : obj F ⟶ obj G
     have h := φ.naturality f.f
     have h' := F.congr_map (comp_p f)
     have h'' := F.congr_map (p_comp f)
-    simp only [hom_ext, functor.map_comp, comp_f] at h h' h''⊢
+    simp only [hom_ext, functor.map_comp, comp_f] at h h' h'' ⊢
     slice_rhs 2 3 => rw [← h]
     slice_lhs 1 2 => rw [h']
     slice_rhs 1 2 => rw [h'']
@@ -112,7 +112,7 @@ def functorExtension₁ : (C ⥤ Karoubi D) ⥤ Karoubi C ⥤ Karoubi D
     simp only [comp_f, functor_extension₁.map_app_f, nat_trans.comp_app, assoc]
     have h := φ.naturality P.p
     have h' := F.congr_map P.idem
-    simp only [hom_ext, comp_f, F.map_comp] at h h'
+    simp only [hom_ext, comp_f, F.map_comp] at h h' 
     slice_rhs 2 3 => rw [← h]
     slice_rhs 1 2 => rw [h']
     simp only [assoc]

19cb3751

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -45,9 +45,6 @@ namespace Idempotents
 
 variable {C D E : Type _} [Category C] [Category D] [Category E]
 
-/- warning: category_theory.idempotents.nat_trans_eq -> CategoryTheory.Idempotents.natTrans_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.nat_trans_eq CategoryTheory.Idempotents.natTrans_eqₓ'. -/
 /-- A natural transformation between functors `karoubi C ⥤ D` is determined
 by its value on objects coming from `C`. -/
 theorem natTrans_eq {F G : Karoubi C ⥤ D} (φ : F ⟶ G) (P : Karoubi C) :
@@ -63,12 +60,6 @@ theorem natTrans_eq {F G : Karoubi C ⥤ D} (φ : F ⟶ G) (P : Karoubi C) :
 
 namespace FunctorExtension₁
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.functor_extension₁.obj CategoryTheory.Idempotents.FunctorExtension₁.objₓ'. -/
 /-- The canonical extension of a functor `C ⥤ karoubi D` to a functor
 `karoubi C ⥤ karoubi D` -/
 @[simps]
@@ -79,12 +70,6 @@ def obj (F : C ⥤ Karoubi D) : Karoubi C ⥤ Karoubi D
   map P Q f := ⟨(F.map f.f).f, by simpa only [F.map_comp, hom_ext] using F.congr_map f.comm⟩
 #align category_theory.idempotents.functor_extension₁.obj CategoryTheory.Idempotents.FunctorExtension₁.obj
 
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 /-- Extension of a natural transformation `φ` between functors
 `C ⥤ karoubi D` to a natural transformation between the
 extension of these functors to `karoubi C ⥤ karoubi D` -/
@@ -115,12 +100,6 @@ end FunctorExtension₁
 
 variable (C D E)
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.functor_extension₁ CategoryTheory.Idempotents.functorExtension₁ₓ'. -/
 /-- The canonical functor `(C ⥤ karoubi D) ⥤ (karoubi C ⥤ karoubi D)` -/
 @[simps]
 def functorExtension₁ : (C ⥤ Karoubi D) ⥤ Karoubi C ⥤ Karoubi D
@@ -139,9 +118,6 @@ def functorExtension₁ : (C ⥤ Karoubi D) ⥤ Karoubi C ⥤ Karoubi D
     simp only [assoc]
 #align category_theory.idempotents.functor_extension₁ CategoryTheory.Idempotents.functorExtension₁
 
-/- warning: category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi -> CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubiₓ'. -/
 theorem functorExtension₁_comp_whiskeringLeft_toKaroubi :
     functorExtension₁ C D ⋙ (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C) = 𝟭 _ :=
   by
@@ -167,9 +143,6 @@ theorem functorExtension₁_comp_whiskeringLeft_toKaroubi :
       comp_p, functor_extension₁.obj_obj_p, to_karoubi_obj_p, F.map_id X]
 #align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi
 
-/- warning: category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi_iso -> CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi_iso is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi_iso CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi_isoₓ'. -/
 /-- The natural isomorphism expressing that functors `karoubi C ⥤ karoubi D` obtained
 using `functor_extension₁` actually extends the original functors `C ⥤ karoubi D`. -/
 @[simps]
@@ -178,9 +151,6 @@ def functorExtension₁_comp_whiskeringLeft_toKaroubi_iso :
   eqToIso (functorExtension₁_comp_whiskeringLeft_toKaroubi C D)
 #align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi_iso CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi_iso
 
-/- warning: category_theory.idempotents.karoubi_universal₁.counit_iso -> CategoryTheory.Idempotents.KaroubiUniversal₁.counitIso is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_universal₁.counit_iso CategoryTheory.Idempotents.KaroubiUniversal₁.counitIsoₓ'. -/
 /-- The counit isomorphism of the equivalence `(C ⥤ karoubi D) ≌ (karoubi C ⥤ karoubi D)`. -/
 @[simps]
 def KaroubiUniversal₁.counitIso :
@@ -218,12 +188,6 @@ def KaroubiUniversal₁.counitIso :
       whisker_left_app, assoc, P.decomp_p, G₁.map_comp]
 #align category_theory.idempotents.karoubi_universal₁.counit_iso CategoryTheory.Idempotents.KaroubiUniversal₁.counitIso
 
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 /-- The equivalence of categories `(C ⥤ karoubi D) ≌ (karoubi C ⥤ karoubi D)`. -/
 @[simps]
 def karoubiUniversal₁ : C ⥤ Karoubi D ≌ Karoubi C ⥤ Karoubi D
@@ -239,30 +203,18 @@ def karoubiUniversal₁ : C ⥤ Karoubi D ≌ Karoubi C ⥤ Karoubi D
       comp_p] using F.congr_map P.idem
 #align category_theory.idempotents.karoubi_universal₁ CategoryTheory.Idempotents.karoubiUniversal₁
 
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 theorem functorExtension₁_comp (F : C ⥤ Karoubi D) (G : D ⥤ Karoubi E) :
     (functorExtension₁ C E).obj (F ⋙ (functorExtension₁ D E).obj G) =
       (functorExtension₁ C D).obj F ⋙ (functorExtension₁ D E).obj G :=
   Functor.ext (by tidy) fun X Y f => by dsimp; simpa only [id_comp, comp_id]
 #align category_theory.idempotents.functor_extension₁_comp CategoryTheory.Idempotents.functorExtension₁_comp
 
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 /-- The canonical functor `(C ⥤ D) ⥤ (karoubi C ⥤ karoubi D)` -/
 @[simps]
 def functorExtension₂ : (C ⥤ D) ⥤ Karoubi C ⥤ Karoubi D :=
   (whiskeringRight C D (Karoubi D)).obj (toKaroubi D) ⋙ functorExtension₁ C D
 #align category_theory.idempotents.functor_extension₂ CategoryTheory.Idempotents.functorExtension₂
 
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 theorem functorExtension₂_comp_whiskeringLeft_toKaroubi :
     functorExtension₂ C D ⋙ (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C) =
       (whiskeringRight C D (Karoubi D)).obj (toKaroubi D) :=
@@ -271,9 +223,6 @@ theorem functorExtension₂_comp_whiskeringLeft_toKaroubi :
     functor.comp_id]
 #align category_theory.idempotents.functor_extension₂_comp_whiskering_left_to_karoubi CategoryTheory.Idempotents.functorExtension₂_comp_whiskeringLeft_toKaroubi
 
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 /-- The natural isomorphism expressing that functors `karoubi C ⥤ karoubi D` obtained
 using `functor_extension₂` actually extends the original functors `C ⥤ D`. -/
 @[simps]
@@ -290,12 +239,6 @@ variable [IsIdempotentComplete D]
 noncomputable instance : IsEquivalence (toKaroubi D) :=
   toKaroubi_isEquivalence D
 
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 /-- The equivalence of categories `(C ⥤ D) ≌ (karoubi C ⥤ karoubi D)` when `D`
 is idempotent complete. -/
 @[simps]
@@ -303,12 +246,6 @@ noncomputable def karoubiUniversal₂ : C ⥤ D ≌ Karoubi C ⥤ Karoubi D :=
   (Equivalence.congrRight (toKaroubi D).asEquivalence).trans (karoubiUniversal₁ C D)
 #align category_theory.idempotents.karoubi_universal₂ CategoryTheory.Idempotents.karoubiUniversal₂
 
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 theorem karoubiUniversal₂_functor_eq : (karoubiUniversal₂ C D).Functor = functorExtension₂ C D :=
   rfl
 #align category_theory.idempotents.karoubi_universal₂_functor_eq CategoryTheory.Idempotents.karoubiUniversal₂_functor_eq
@@ -316,12 +253,6 @@ theorem karoubiUniversal₂_functor_eq : (karoubiUniversal₂ C D).Functor = fun
 noncomputable instance : IsEquivalence (functorExtension₂ C D) := by
   rw [← karoubi_universal₂_functor_eq]; infer_instance
 
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 /-- The extension of functors functor `(C ⥤ D) ⥤ (karoubi C ⥤ D)`
 when `D` is idempotent compltete. -/
 @[simps]
@@ -330,24 +261,12 @@ noncomputable def functorExtension : (C ⥤ D) ⥤ Karoubi C ⥤ D :=
     (whiskeringRight (Karoubi C) (Karoubi D) D).obj (toKaroubi_isEquivalence D).inverse
 #align category_theory.idempotents.functor_extension CategoryTheory.Idempotents.functorExtension
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_universal CategoryTheory.Idempotents.karoubiUniversalₓ'. -/
 /-- The equivalence `(C ⥤ D) ≌ (karoubi C ⥤ D)` when `D` is idempotent complete. -/
 @[simps]
 noncomputable def karoubiUniversal : C ⥤ D ≌ Karoubi C ⥤ D :=
   (karoubiUniversal₂ C D).trans (Equivalence.congrRight (toKaroubi D).asEquivalence.symm)
 #align category_theory.idempotents.karoubi_universal CategoryTheory.Idempotents.karoubiUniversal
 
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 theorem karoubiUniversal_functor_eq : (karoubiUniversal C D).Functor = functorExtension C D :=
   rfl
 #align category_theory.idempotents.karoubi_universal_functor_eq CategoryTheory.Idempotents.karoubiUniversal_functor_eq
@@ -365,9 +284,6 @@ noncomputable instance : IsEquivalence ((whiskeringLeft C (Karoubi C) D).obj (to
 
 variable {C D}
 
-/- warning: category_theory.idempotents.whiskering_left_obj_preimage_app -> CategoryTheory.Idempotents.whiskeringLeft_obj_preimage_app is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.whiskering_left_obj_preimage_app CategoryTheory.Idempotents.whiskeringLeft_obj_preimage_appₓ'. -/
 theorem whiskeringLeft_obj_preimage_app {F G : Karoubi C ⥤ D}
     (τ : toKaroubi _ ⋙ F ⟶ toKaroubi _ ⋙ G) (P : Karoubi C) :
     (((whiskeringLeft _ _ _).obj (toKaroubi _)).preimage τ).app P =

19cb3751

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -127,9 +127,7 @@ def functorExtension₁ : (C ⥤ Karoubi D) ⥤ Karoubi C ⥤ Karoubi D
     where
   obj := FunctorExtension₁.obj
   map F G := FunctorExtension₁.map
-  map_id' F := by
-    ext P
-    exact comp_p (F.map P.p)
+  map_id' F := by ext P; exact comp_p (F.map P.p)
   map_comp' F G H φ φ' := by
     ext P
     simp only [comp_f, functor_extension₁.map_app_f, nat_trans.comp_app, assoc]
@@ -247,9 +245,7 @@ Case conversion may be inaccurate. Consider using '#align category_theory.idempo
 theorem functorExtension₁_comp (F : C ⥤ Karoubi D) (G : D ⥤ Karoubi E) :
     (functorExtension₁ C E).obj (F ⋙ (functorExtension₁ D E).obj G) =
       (functorExtension₁ C D).obj F ⋙ (functorExtension₁ D E).obj G :=
-  Functor.ext (by tidy) fun X Y f => by
-    dsimp
-    simpa only [id_comp, comp_id]
+  Functor.ext (by tidy) fun X Y f => by dsimp; simpa only [id_comp, comp_id]
 #align category_theory.idempotents.functor_extension₁_comp CategoryTheory.Idempotents.functorExtension₁_comp
 
 /- warning: category_theory.idempotents.functor_extension₂ -> CategoryTheory.Idempotents.functorExtension₂ is a dubious translation:
@@ -317,10 +313,8 @@ theorem karoubiUniversal₂_functor_eq : (karoubiUniversal₂ C D).Functor = fun
   rfl
 #align category_theory.idempotents.karoubi_universal₂_functor_eq CategoryTheory.Idempotents.karoubiUniversal₂_functor_eq
 
-noncomputable instance : IsEquivalence (functorExtension₂ C D) :=
-  by
-  rw [← karoubi_universal₂_functor_eq]
-  infer_instance
+noncomputable instance : IsEquivalence (functorExtension₂ C D) := by
+  rw [← karoubi_universal₂_functor_eq]; infer_instance
 
 /- warning: category_theory.idempotents.functor_extension -> CategoryTheory.Idempotents.functorExtension is a dubious translation:
 lean 3 declaration is
@@ -358,10 +352,8 @@ theorem karoubiUniversal_functor_eq : (karoubiUniversal C D).Functor = functorEx
   rfl
 #align category_theory.idempotents.karoubi_universal_functor_eq CategoryTheory.Idempotents.karoubiUniversal_functor_eq
 
-noncomputable instance : IsEquivalence (functorExtension C D) :=
-  by
-  rw [← karoubi_universal_functor_eq]
-  infer_instance
+noncomputable instance : IsEquivalence (functorExtension C D) := by
+  rw [← karoubi_universal_functor_eq]; infer_instance
 
 noncomputable instance : IsEquivalence ((whiskeringLeft C (Karoubi C) D).obj (toKaroubi C)) :=
   IsEquivalence.cancelCompRight _
@@ -369,9 +361,7 @@ noncomputable instance : IsEquivalence ((whiskeringLeft C (Karoubi C) D).obj (to
     (IsEquivalence.ofEquivalence
       (@Equivalence.congrRight _ _ _ _ C _
         ((toKaroubi D).asEquivalence.trans (toKaroubi D).asEquivalence.symm)))
-    (by
-      change is_equivalence (karoubi_universal C D).inverse
-      infer_instance)
+    (by change is_equivalence (karoubi_universal C D).inverse; infer_instance)
 
 variable {C D}

19cb3751

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -46,10 +46,7 @@ namespace Idempotents
 variable {C D E : Type _} [Category C] [Category D] [Category E]
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.nat_trans_eq CategoryTheory.Idempotents.natTrans_eqₓ'. -/
 /-- A natural transformation between functors `karoubi C ⥤ D` is determined
 by its value on objects coming from `C`. -/
@@ -145,10 +142,7 @@ def functorExtension₁ : (C ⥤ Karoubi D) ⥤ Karoubi C ⥤ Karoubi D
 #align category_theory.idempotents.functor_extension₁ CategoryTheory.Idempotents.functorExtension₁
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubiₓ'. -/
 theorem functorExtension₁_comp_whiskeringLeft_toKaroubi :
     functorExtension₁ C D ⋙ (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C) = 𝟭 _ :=
@@ -176,10 +170,7 @@ theorem functorExtension₁_comp_whiskeringLeft_toKaroubi :
 #align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi
 
 /- warning: category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi_iso -> CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi_iso is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi_iso CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi_isoₓ'. -/
 /-- The natural isomorphism expressing that functors `karoubi C ⥤ karoubi D` obtained
 using `functor_extension₁` actually extends the original functors `C ⥤ karoubi D`. -/
@@ -190,10 +181,7 @@ def functorExtension₁_comp_whiskeringLeft_toKaroubi_iso :
 #align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi_iso CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi_iso
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_universal₁.counit_iso CategoryTheory.Idempotents.KaroubiUniversal₁.counitIsoₓ'. -/
 /-- The counit isomorphism of the equivalence `(C ⥤ karoubi D) ≌ (karoubi C ⥤ karoubi D)`. -/
 @[simps]
@@ -254,10 +242,7 @@ def karoubiUniversal₁ : C ⥤ Karoubi D ≌ Karoubi C ⥤ Karoubi D
 #align category_theory.idempotents.karoubi_universal₁ CategoryTheory.Idempotents.karoubiUniversal₁
 
 /- warning: category_theory.idempotents.functor_extension₁_comp -> CategoryTheory.Idempotents.functorExtension₁_comp is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.functor_extension₁_comp CategoryTheory.Idempotents.functorExtension₁_compₓ'. -/
 theorem functorExtension₁_comp (F : C ⥤ Karoubi D) (G : D ⥤ Karoubi E) :
     (functorExtension₁ C E).obj (F ⋙ (functorExtension₁ D E).obj G) =
@@ -280,10 +265,7 @@ def functorExtension₂ : (C ⥤ D) ⥤ Karoubi C ⥤ Karoubi D :=
 #align category_theory.idempotents.functor_extension₂ CategoryTheory.Idempotents.functorExtension₂
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.functor_extension₂_comp_whiskering_left_to_karoubi CategoryTheory.Idempotents.functorExtension₂_comp_whiskeringLeft_toKaroubiₓ'. -/
 theorem functorExtension₂_comp_whiskeringLeft_toKaroubi :
     functorExtension₂ C D ⋙ (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C) =
@@ -294,10 +276,7 @@ theorem functorExtension₂_comp_whiskeringLeft_toKaroubi :
 #align category_theory.idempotents.functor_extension₂_comp_whiskering_left_to_karoubi CategoryTheory.Idempotents.functorExtension₂_comp_whiskeringLeft_toKaroubi
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.functor_extension₂_comp_whiskering_left_to_karoubi_iso CategoryTheory.Idempotents.functorExtension₂CompWhiskeringLeftToKaroubiIsoₓ'. -/
 /-- The natural isomorphism expressing that functors `karoubi C ⥤ karoubi D` obtained
 using `functor_extension₂` actually extends the original functors `C ⥤ D`. -/
@@ -397,10 +376,7 @@ noncomputable instance : IsEquivalence ((whiskeringLeft C (Karoubi C) D).obj (to
 variable {C D}
 
 /- warning: category_theory.idempotents.whiskering_left_obj_preimage_app -> CategoryTheory.Idempotents.whiskeringLeft_obj_preimage_app is a dubious translation:
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_inst_1 P) (CategoryTheory.CategoryStruct.id.{u4, u2} C (CategoryTheory.Category.toCategoryStruct.{u4, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.X.{u2, u4} C _inst_1 P)) (CategoryTheory.Idempotents.Karoubi.coe.proof_1.{u4, u2} C _inst_1 (CategoryTheory.Idempotents.Karoubi.X.{u2, u4} C _inst_1 P))) (CategoryTheory.Idempotents.Karoubi.decompId_i.{u2, u4} C _inst_1 P)) (CategoryTheory.CategoryStruct.comp.{u3, u1} D (CategoryTheory.Category.toCategoryStruct.{u3, u1} D _inst_2) (Prefunctor.obj.{succ u4, succ u3, max u2 u4, u1} (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{u4, max u2 u4} (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_1) (CategoryTheory.Category.toCategoryStruct.{u4, max u2 u4} (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u4} C _inst_1))) D (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} D (CategoryTheory.Category.toCategoryStruct.{u3, u1} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u4, u3, max u2 u4, u1} (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u4} C _inst_1) D _inst_2 F) (CategoryTheory.Idempotents.Karoubi.mk.{u2, u4} C _inst_1 (CategoryTheory.Idempotents.Karoubi.X.{u2, u4} C _inst_1 P) (CategoryTheory.CategoryStruct.id.{u4, u2} C (CategoryTheory.Category.toCategoryStruct.{u4, u2} C _inst_1) (CategoryTheory.Idempotents.Karoubi.X.{u2, u4} C _inst_1 P)) (CategoryTheory.Idempotents.Karoubi.coe.proof_1.{u4, u2} C _inst_1 (CategoryTheory.Idempotents.Karoubi.X.{u2, u4} C _inst_1 P)))) (Prefunctor.obj.{succ u4, succ u3, u2, u1} C (CategoryTheory.CategoryStruct.toQuiver.{u4, u2} C (CategoryTheory.Category.toCategoryStruct.{u4, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} D (CategoryTheory.Category.toCategoryStruct.{u3, u1} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u4, u3, u2, u1} C _inst_1 D _inst_2 (CategoryTheory.Functor.comp.{u4, u4, u3, u2, max u2 u4, u1} C _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u4} C _inst_1) D _inst_2 (CategoryTheory.Idempotents.toKaroubi.{u2, u4} C _inst_1) G)) (CategoryTheory.Idempotents.Karoubi.X.{u2, u4} C _inst_1 P)) (Prefunctor.obj.{succ u4, succ u3, max u2 u4, u1} (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{u4, max u2 u4} (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_1) (CategoryTheory.Category.toCategoryStruct.{u4, max u2 u4} (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u4} C _inst_1))) D (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} D (CategoryTheory.Category.toCategoryStruct.{u3, u1} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u4, u3, max u2 u4, u1} (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_1) 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(CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u4} C _inst_1))) (CategoryTheory.Functor.toPrefunctor.{u4, u4, u2, max u2 u4} C _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u4} C _inst_1) (CategoryTheory.Idempotents.toKaroubi.{u2, u4} C _inst_1)) (CategoryTheory.Idempotents.Karoubi.X.{u2, u4} C _inst_1 P)) P (CategoryTheory.Idempotents.Karoubi.decompId_p.{u2, u4} C _inst_1 P))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.whiskering_left_obj_preimage_app CategoryTheory.Idempotents.whiskeringLeft_obj_preimage_appₓ'. -/
 theorem whiskeringLeft_obj_preimage_app {F G : Karoubi C ⥤ D}
     (τ : toKaroubi _ ⋙ F ⟶ toKaroubi _ ⋙ G) (P : Karoubi C) :

19cb3751

bump to nightly-2023-04-09-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/284fdd2962e67d2932fa3a79ce19fcf92d38e228

32290448

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joël Riou
 
 ! This file was ported from Lean 3 source module category_theory.idempotents.functor_extension
-! leanprover-community/mathlib commit 5f68029a863bdf76029fa0f7a519e6163c14152e
+! leanprover-community/mathlib commit 19cb3751e5e9b3d97adb51023949c50c13b5fdfd
 ! 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.Idempotents.Karoubi
 /-!
 # Extension of functors to the idempotent completion
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file, we construct an extension `functor_extension₁`
 of functors `C ⥤ karoubi D` to functors `karoubi C ⥤ karoubi D`. This results in an
 equivalence `karoubi_universal₁ C D : (C ⥤ karoubi D) ≌ (karoubi C ⥤ karoubi D)`.

5f68029a

bump to nightly-2023-04-06-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/06a655b5fcfbda03502f9158bbf6c0f1400886f9

f3692adc

Diff

@@ -42,10 +42,16 @@ namespace Idempotents
 
 variable {C D E : Type _} [Category C] [Category D] [Category E]
 
+/- warning: category_theory.idempotents.nat_trans_eq -> CategoryTheory.Idempotents.natTrans_eq is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u4} C _inst_1) D _inst_2) (CategoryTheory.Category.toCategoryStruct.{max (max u2 u4) u3, max (max (max u2 u1) u4) u3} (CategoryTheory.Functor.{u4, u3, max u4 u2, u1} (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u4} C _inst_1) D _inst_2) (CategoryTheory.Functor.category.{u4, u3, max u2 u4, u1} (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u4} C _inst_1) D _inst_2))) F G) (P : CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_1), Eq.{succ u3} (Quiver.Hom.{succ u3, u1} D (CategoryTheory.CategoryStruct.toQuiver.{u3, u1} D (CategoryTheory.Category.toCategoryStruct.{u3, u1} D _inst_2)) (Prefunctor.obj.{succ u4, succ u3, max u2 u4, u1} (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_1) (CategoryTheory.CategoryStruct.toQuiver.{u4, max u2 u4} (CategoryTheory.Idempotents.Karoubi.{u2, u4} 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+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.nat_trans_eq CategoryTheory.Idempotents.natTrans_eqₓ'. -/
 /-- A natural transformation between functors `karoubi C ⥤ D` is determined
 by its value on objects coming from `C`. -/
-theorem nat_trans_eq {F G : Karoubi C ⥤ D} (φ : F ⟶ G) (P : Karoubi C) :
-    φ.app P = F.map (decompIdI P) ≫ φ.app P.pt ≫ G.map (decompIdP P) :=
+theorem natTrans_eq {F G : Karoubi C ⥤ D} (φ : F ⟶ G) (P : Karoubi C) :
+    φ.app P = F.map (decompId_i P) ≫ φ.app P.pt ≫ G.map (decompId_p P) :=
   by
   rw [← φ.naturality, ← assoc, ← F.map_comp]
   conv =>
@@ -53,10 +59,16 @@ theorem nat_trans_eq {F G : Karoubi C ⥤ D} (φ : F ⟶ G) (P : Karoubi C) :
     rw [← id_comp (φ.app P), ← F.map_id]
   congr
   apply decomp_id
-#align category_theory.idempotents.nat_trans_eq CategoryTheory.Idempotents.nat_trans_eq
+#align category_theory.idempotents.nat_trans_eq CategoryTheory.Idempotents.natTrans_eq
 
 namespace FunctorExtension₁
 
+/- warning: category_theory.idempotents.functor_extension₁.obj -> CategoryTheory.Idempotents.FunctorExtension₁.obj is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u1}} {D : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u3, u1} C] [_inst_2 : CategoryTheory.Category.{u4, u2} D], (CategoryTheory.Functor.{u3, u4, u1, max u2 u4} C _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} D _inst_2)) -> (CategoryTheory.Functor.{u3, u4, max u1 u3, max u2 u4} (CategoryTheory.Idempotents.Karoubi.{u1, u3} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u3} C _inst_1) (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} D _inst_2))
+but is expected to have type
+  forall {C : Type.{u1}} {D : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u3, u1} C] [_inst_2 : CategoryTheory.Category.{u4, u2} D], (CategoryTheory.Functor.{u3, u4, u1, max u4 u2} C _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u4} D _inst_2)) -> (CategoryTheory.Functor.{u3, u4, max u3 u1, max u4 u2} (CategoryTheory.Idempotents.Karoubi.{u1, u3} C _inst_1) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u3} C _inst_1) (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u4} D _inst_2))
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.functor_extension₁.obj CategoryTheory.Idempotents.FunctorExtension₁.objₓ'. -/
 /-- The canonical extension of a functor `C ⥤ karoubi D` to a functor
 `karoubi C ⥤ karoubi D` -/
 @[simps]
@@ -67,6 +79,12 @@ def obj (F : C ⥤ Karoubi D) : Karoubi C ⥤ Karoubi D
   map P Q f := ⟨(F.map f.f).f, by simpa only [F.map_comp, hom_ext] using F.congr_map f.comm⟩
 #align category_theory.idempotents.functor_extension₁.obj CategoryTheory.Idempotents.FunctorExtension₁.obj
 
+/- warning: category_theory.idempotents.functor_extension₁.map -> CategoryTheory.Idempotents.FunctorExtension₁.map is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u1}} {D : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u3, u1} C] [_inst_2 : CategoryTheory.Category.{u4, u2} D] {F : CategoryTheory.Functor.{u3, u4, u1, max u2 u4} C _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} D _inst_2)} {G : CategoryTheory.Functor.{u3, u4, u1, max u2 u4} C _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} D _inst_2)}, (Quiver.Hom.{succ (max u1 u4), max u3 u4 u1 u2 u4} (CategoryTheory.Functor.{u3, u4, u1, max u2 u4} C _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} D _inst_2)) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u4, max u3 u4 u1 u2 u4} (CategoryTheory.Functor.{u3, u4, u1, max u2 u4} C _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} D _inst_2)) (CategoryTheory.Category.toCategoryStruct.{max u1 u4, max u3 u4 u1 u2 u4} (CategoryTheory.Functor.{u3, u4, u1, max u2 u4} C _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} D _inst_2)) (CategoryTheory.Functor.category.{u3, u4, u1, max u2 u4} C _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} D _inst_2)))) F G) -> (Quiver.Hom.{succ (max (max u1 u3) u4), max u3 u4 (max u1 u3) u2 u4} (CategoryTheory.Functor.{u3, u4, max u1 u3, max u2 u4} (CategoryTheory.Idempotents.Karoubi.{u1, u3} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u3} C _inst_1) (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} D _inst_2)) (CategoryTheory.CategoryStruct.toQuiver.{max (max u1 u3) u4, max u3 u4 (max u1 u3) u2 u4} (CategoryTheory.Functor.{u3, u4, max u1 u3, max u2 u4} (CategoryTheory.Idempotents.Karoubi.{u1, u3} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u3} C _inst_1) (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} D _inst_2)) (CategoryTheory.Category.toCategoryStruct.{max (max u1 u3) u4, max u3 u4 (max u1 u3) u2 u4} (CategoryTheory.Functor.{u3, u4, max u1 u3, max u2 u4} (CategoryTheory.Idempotents.Karoubi.{u1, u3} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u3} C _inst_1) (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} D _inst_2)) (CategoryTheory.Functor.category.{u3, u4, max u1 u3, max u2 u4} (CategoryTheory.Idempotents.Karoubi.{u1, u3} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u3} C _inst_1) (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} D _inst_2)))) (CategoryTheory.Idempotents.FunctorExtension₁.obj.{u1, u2, u3, u4} C D _inst_1 _inst_2 F) (CategoryTheory.Idempotents.FunctorExtension₁.obj.{u1, u2, u3, u4} C D _inst_1 _inst_2 G))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.functor_extension₁.map CategoryTheory.Idempotents.FunctorExtension₁.mapₓ'. -/
 /-- Extension of a natural transformation `φ` between functors
 `C ⥤ karoubi D` to a natural transformation between the
 extension of these functors to `karoubi C ⥤ karoubi D` -/
@@ -97,6 +115,12 @@ end FunctorExtension₁
 
 variable (C D E)
 
+/- warning: category_theory.idempotents.functor_extension₁ -> CategoryTheory.Idempotents.functorExtension₁ is a dubious translation:
+lean 3 declaration is
+  forall (C : Type.{u1}) (D : Type.{u2}) [_inst_1 : CategoryTheory.Category.{u3, u1} C] [_inst_2 : CategoryTheory.Category.{u4, u2} D], CategoryTheory.Functor.{max u1 u4, max (max u1 u3) u4, max u3 u4 u1 u2 u4, max u3 u4 (max u1 u3) u2 u4} (CategoryTheory.Functor.{u3, u4, u1, max u2 u4} C _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} D _inst_2)) (CategoryTheory.Functor.category.{u3, u4, u1, max u2 u4} C _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} D _inst_2)) (CategoryTheory.Functor.{u3, u4, max u1 u3, max u2 u4} (CategoryTheory.Idempotents.Karoubi.{u1, u3} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u3} C _inst_1) (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} D _inst_2)) (CategoryTheory.Functor.category.{u3, u4, max u1 u3, max u2 u4} (CategoryTheory.Idempotents.Karoubi.{u1, u3} C _inst_1) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u1, u3} C _inst_1) (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} D _inst_2))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.functor_extension₁ CategoryTheory.Idempotents.functorExtension₁ₓ'. -/
 /-- The canonical functor `(C ⥤ karoubi D) ⥤ (karoubi C ⥤ karoubi D)` -/
 @[simps]
 def functorExtension₁ : (C ⥤ Karoubi D) ⥤ Karoubi C ⥤ Karoubi D
@@ -117,6 +141,12 @@ def functorExtension₁ : (C ⥤ Karoubi D) ⥤ Karoubi C ⥤ Karoubi D
     simp only [assoc]
 #align category_theory.idempotents.functor_extension₁ CategoryTheory.Idempotents.functorExtension₁
 
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+but is expected to have type
+  forall (C : Type.{u4}) (D : Type.{u3}) [_inst_1 : CategoryTheory.Category.{u2, u4} C] [_inst_2 : CategoryTheory.Category.{u1, u3} D], Eq.{max (max (max (succ u4) (succ u3)) (succ u2)) (succ u1)} (CategoryTheory.Functor.{max u4 u1, max u4 u1, max (max (max u4 u3) u2) u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u2, u1, u4, max u1 u3} C _inst_1 (CategoryTheory.Idempotents.Karoubi.{u3, u1} D _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u3, u1} D _inst_2)) (CategoryTheory.Functor.category.{u2, u1, u4, max u3 u1} C _inst_1 (CategoryTheory.Idempotents.Karoubi.{u3, u1} D _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u3, u1} D _inst_2)) (CategoryTheory.Functor.{u2, u1, u4, max u1 u3} C _inst_1 (CategoryTheory.Idempotents.Karoubi.{u3, u1} D _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u3, u1} D _inst_2)) (CategoryTheory.Functor.category.{u2, u1, u4, max u1 u3} C _inst_1 (CategoryTheory.Idempotents.Karoubi.{u3, u1} D 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(CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u3, u1} D _inst_2))) (CategoryTheory.Idempotents.toKaroubi.{u4, u2} C _inst_1))) (CategoryTheory.Functor.id.{max u4 u1, max (max (max u4 u3) u2) u1} (CategoryTheory.Functor.{u2, u1, u4, max u1 u3} C _inst_1 (CategoryTheory.Idempotents.Karoubi.{u3, u1} D _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u3, u1} D _inst_2)) (CategoryTheory.Functor.category.{u2, u1, u4, max u3 u1} C _inst_1 (CategoryTheory.Idempotents.Karoubi.{u3, u1} D _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u3, u1} D _inst_2)))
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubiₓ'. -/
 theorem functorExtension₁_comp_whiskeringLeft_toKaroubi :
     functorExtension₁ C D ⋙ (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C) = 𝟭 _ :=
   by
@@ -142,14 +172,26 @@ theorem functorExtension₁_comp_whiskeringLeft_toKaroubi :
       comp_p, functor_extension₁.obj_obj_p, to_karoubi_obj_p, F.map_id X]
 #align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi
 
+/- warning: category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi_iso -> CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi_iso is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi_iso CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi_isoₓ'. -/
 /-- The natural isomorphism expressing that functors `karoubi C ⥤ karoubi D` obtained
 using `functor_extension₁` actually extends the original functors `C ⥤ karoubi D`. -/
 @[simps]
-def functorExtension₁CompWhiskeringLeftToKaroubiIso :
+def functorExtension₁_comp_whiskeringLeft_toKaroubi_iso :
     functorExtension₁ C D ⋙ (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C) ≅ 𝟭 _ :=
   eqToIso (functorExtension₁_comp_whiskeringLeft_toKaroubi C D)
-#align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi_iso CategoryTheory.Idempotents.functorExtension₁CompWhiskeringLeftToKaroubiIso
-
+#align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi_iso CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi_iso
+
+/- warning: category_theory.idempotents.karoubi_universal₁.counit_iso -> CategoryTheory.Idempotents.KaroubiUniversal₁.counitIso 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.idempotents.karoubi_universal₁.counit_iso CategoryTheory.Idempotents.KaroubiUniversal₁.counitIsoₓ'. -/
 /-- The counit isomorphism of the equivalence `(C ⥤ karoubi D) ≌ (karoubi C ⥤ karoubi D)`. -/
 @[simps]
 def KaroubiUniversal₁.counitIso :
@@ -158,7 +200,7 @@ def KaroubiUniversal₁.counitIso :
     (fun G =>
       { Hom :=
           { app := fun P =>
-              { f := (G.map (decompIdP P)).f
+              { f := (G.map (decompId_p P)).f
                 comm := by
                   simpa only [hom_ext, G.map_comp, G.map_id] using
                     G.congr_map
@@ -167,7 +209,7 @@ def KaroubiUniversal₁.counitIso :
               simpa only [hom_ext, G.map_comp] using (G.congr_map (decomp_id_p_naturality f)).symm }
         inv :=
           { app := fun P =>
-              { f := (G.map (decompIdI P)).f
+              { f := (G.map (decompId_i P)).f
                 comm := by
                   simpa only [hom_ext, G.map_comp, G.map_id] using
                     G.congr_map
@@ -187,13 +229,19 @@ def KaroubiUniversal₁.counitIso :
       whisker_left_app, assoc, P.decomp_p, G₁.map_comp]
 #align category_theory.idempotents.karoubi_universal₁.counit_iso CategoryTheory.Idempotents.KaroubiUniversal₁.counitIso
 
+/- warning: category_theory.idempotents.karoubi_universal₁ -> CategoryTheory.Idempotents.karoubiUniversal₁ 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.idempotents.karoubi_universal₁ CategoryTheory.Idempotents.karoubiUniversal₁ₓ'. -/
 /-- The equivalence of categories `(C ⥤ karoubi D) ≌ (karoubi C ⥤ karoubi D)`. -/
 @[simps]
 def karoubiUniversal₁ : C ⥤ Karoubi D ≌ Karoubi C ⥤ Karoubi D
     where
   Functor := functorExtension₁ C D
   inverse := (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C)
-  unitIso := (functorExtension₁CompWhiskeringLeftToKaroubiIso C D).symm
+  unitIso := (functorExtension₁_comp_whiskeringLeft_toKaroubi_iso C D).symm
   counitIso := KaroubiUniversal₁.counitIso C D
   functor_unitIso_comp' F := by
     ext P
@@ -202,6 +250,12 @@ def karoubiUniversal₁ : C ⥤ Karoubi D ≌ Karoubi C ⥤ Karoubi D
       comp_p] using F.congr_map P.idem
 #align category_theory.idempotents.karoubi_universal₁ CategoryTheory.Idempotents.karoubiUniversal₁
 
+/- warning: category_theory.idempotents.functor_extension₁_comp -> CategoryTheory.Idempotents.functorExtension₁_comp is a dubious translation:
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_inst_3) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} E _inst_3)))) (CategoryTheory.Functor.toPrefunctor.{max u3 u2, max (max u3 u5) u2, max (max (max u3 u1) u5) u2, max (max (max u3 u1) u5) u2} (CategoryTheory.Functor.{u5, u2, u3, max u2 u1} D _inst_2 (CategoryTheory.Idempotents.Karoubi.{u1, u2} E _inst_3) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} E _inst_3)) (CategoryTheory.Functor.category.{u5, u2, u3, max u1 u2} D _inst_2 (CategoryTheory.Idempotents.Karoubi.{u1, u2} E _inst_3) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} E _inst_3)) (CategoryTheory.Functor.{u5, u2, max u5 u3, max u2 u1} (CategoryTheory.Idempotents.Karoubi.{u3, u5} D _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u3, u5} D _inst_2) (CategoryTheory.Idempotents.Karoubi.{u1, u2} E _inst_3) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} E _inst_3)) (CategoryTheory.Functor.category.{u5, u2, max u3 u5, max u1 u2} (CategoryTheory.Idempotents.Karoubi.{u3, u5} D _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u3, u5} D _inst_2) (CategoryTheory.Idempotents.Karoubi.{u1, u2} E _inst_3) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u1, u2} E _inst_3)) (CategoryTheory.Idempotents.functorExtension₁.{u3, u1, u5, u2} D E _inst_2 _inst_3)) G))
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.functor_extension₁_comp CategoryTheory.Idempotents.functorExtension₁_compₓ'. -/
 theorem functorExtension₁_comp (F : C ⥤ Karoubi D) (G : D ⥤ Karoubi E) :
     (functorExtension₁ C E).obj (F ⋙ (functorExtension₁ D E).obj G) =
       (functorExtension₁ C D).obj F ⋙ (functorExtension₁ D E).obj G :=
@@ -210,12 +264,24 @@ theorem functorExtension₁_comp (F : C ⥤ Karoubi D) (G : D ⥤ Karoubi E) :
     simpa only [id_comp, comp_id]
 #align category_theory.idempotents.functor_extension₁_comp CategoryTheory.Idempotents.functorExtension₁_comp
 
+/- warning: category_theory.idempotents.functor_extension₂ -> CategoryTheory.Idempotents.functorExtension₂ 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.idempotents.functor_extension₂ CategoryTheory.Idempotents.functorExtension₂ₓ'. -/
 /-- The canonical functor `(C ⥤ D) ⥤ (karoubi C ⥤ karoubi D)` -/
 @[simps]
 def functorExtension₂ : (C ⥤ D) ⥤ Karoubi C ⥤ Karoubi D :=
   (whiskeringRight C D (Karoubi D)).obj (toKaroubi D) ⋙ functorExtension₁ C D
 #align category_theory.idempotents.functor_extension₂ CategoryTheory.Idempotents.functorExtension₂
 
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.functor_extension₂_comp_whiskering_left_to_karoubi CategoryTheory.Idempotents.functorExtension₂_comp_whiskeringLeft_toKaroubiₓ'. -/
 theorem functorExtension₂_comp_whiskeringLeft_toKaroubi :
     functorExtension₂ C D ⋙ (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C) =
       (whiskeringRight C D (Karoubi D)).obj (toKaroubi D) :=
@@ -224,6 +290,12 @@ theorem functorExtension₂_comp_whiskeringLeft_toKaroubi :
     functor.comp_id]
 #align category_theory.idempotents.functor_extension₂_comp_whiskering_left_to_karoubi CategoryTheory.Idempotents.functorExtension₂_comp_whiskeringLeft_toKaroubi
 
+/- warning: category_theory.idempotents.functor_extension₂_comp_whiskering_left_to_karoubi_iso -> CategoryTheory.Idempotents.functorExtension₂CompWhiskeringLeftToKaroubiIso is a dubious translation:
+lean 3 declaration is
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(CategoryTheory.whiskeringRight.{u1, u3, u2, u4, max u4 u2, u4} C _inst_1 D _inst_2 (CategoryTheory.Idempotents.Karoubi.{u2, u4} D _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u4} D _inst_2))) (CategoryTheory.Idempotents.toKaroubi.{u2, u4} D _inst_2))
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.functor_extension₂_comp_whiskering_left_to_karoubi_iso CategoryTheory.Idempotents.functorExtension₂CompWhiskeringLeftToKaroubiIsoₓ'. -/
 /-- The natural isomorphism expressing that functors `karoubi C ⥤ karoubi D` obtained
 using `functor_extension₂` actually extends the original functors `C ⥤ D`. -/
 @[simps]
@@ -238,8 +310,14 @@ section IsIdempotentComplete
 variable [IsIdempotentComplete D]
 
 noncomputable instance : IsEquivalence (toKaroubi D) :=
-  toKaroubiIsEquivalence D
-
+  toKaroubi_isEquivalence D
+
+/- warning: category_theory.idempotents.karoubi_universal₂ -> CategoryTheory.Idempotents.karoubiUniversal₂ is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_universal₂ CategoryTheory.Idempotents.karoubiUniversal₂ₓ'. -/
 /-- The equivalence of categories `(C ⥤ D) ≌ (karoubi C ⥤ karoubi D)` when `D`
 is idempotent complete. -/
 @[simps]
@@ -247,6 +325,12 @@ noncomputable def karoubiUniversal₂ : C ⥤ D ≌ Karoubi C ⥤ Karoubi D :=
   (Equivalence.congrRight (toKaroubi D).asEquivalence).trans (karoubiUniversal₁ C D)
 #align category_theory.idempotents.karoubi_universal₂ CategoryTheory.Idempotents.karoubiUniversal₂
 
+/- warning: category_theory.idempotents.karoubi_universal₂_functor_eq -> CategoryTheory.Idempotents.karoubiUniversal₂_functor_eq is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_universal₂_functor_eq CategoryTheory.Idempotents.karoubiUniversal₂_functor_eqₓ'. -/
 theorem karoubiUniversal₂_functor_eq : (karoubiUniversal₂ C D).Functor = functorExtension₂ C D :=
   rfl
 #align category_theory.idempotents.karoubi_universal₂_functor_eq CategoryTheory.Idempotents.karoubiUniversal₂_functor_eq
@@ -256,20 +340,38 @@ noncomputable instance : IsEquivalence (functorExtension₂ C D) :=
   rw [← karoubi_universal₂_functor_eq]
   infer_instance
 
+/- warning: category_theory.idempotents.functor_extension -> CategoryTheory.Idempotents.functorExtension is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.functor_extension CategoryTheory.Idempotents.functorExtensionₓ'. -/
 /-- The extension of functors functor `(C ⥤ D) ⥤ (karoubi C ⥤ D)`
 when `D` is idempotent compltete. -/
 @[simps]
 noncomputable def functorExtension : (C ⥤ D) ⥤ Karoubi C ⥤ D :=
   functorExtension₂ C D ⋙
-    (whiskeringRight (Karoubi C) (Karoubi D) D).obj (toKaroubiIsEquivalence D).inverse
+    (whiskeringRight (Karoubi C) (Karoubi D) D).obj (toKaroubi_isEquivalence D).inverse
 #align category_theory.idempotents.functor_extension CategoryTheory.Idempotents.functorExtension
 
+/- warning: category_theory.idempotents.karoubi_universal -> CategoryTheory.Idempotents.karoubiUniversal is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_universal CategoryTheory.Idempotents.karoubiUniversalₓ'. -/
 /-- The equivalence `(C ⥤ D) ≌ (karoubi C ⥤ D)` when `D` is idempotent complete. -/
 @[simps]
 noncomputable def karoubiUniversal : C ⥤ D ≌ Karoubi C ⥤ D :=
   (karoubiUniversal₂ C D).trans (Equivalence.congrRight (toKaroubi D).asEquivalence.symm)
 #align category_theory.idempotents.karoubi_universal CategoryTheory.Idempotents.karoubiUniversal
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_universal_functor_eq CategoryTheory.Idempotents.karoubiUniversal_functor_eqₓ'. -/
 theorem karoubiUniversal_functor_eq : (karoubiUniversal C D).Functor = functorExtension C D :=
   rfl
 #align category_theory.idempotents.karoubi_universal_functor_eq CategoryTheory.Idempotents.karoubiUniversal_functor_eq
@@ -291,10 +393,16 @@ noncomputable instance : IsEquivalence ((whiskeringLeft C (Karoubi C) D).obj (to
 
 variable {C D}
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.whiskering_left_obj_preimage_app CategoryTheory.Idempotents.whiskeringLeft_obj_preimage_appₓ'. -/
 theorem whiskeringLeft_obj_preimage_app {F G : Karoubi C ⥤ D}
     (τ : toKaroubi _ ⋙ F ⟶ toKaroubi _ ⋙ G) (P : Karoubi C) :
     (((whiskeringLeft _ _ _).obj (toKaroubi _)).preimage τ).app P =
-      F.map P.decompIdI ≫ τ.app P.pt ≫ G.map P.decompIdP :=
+      F.map P.decompId_i ≫ τ.app P.pt ≫ G.map P.decompId_p :=
   by
   rw [nat_trans_eq]
   congr 2

5f68029a

bump to nightly-2023-02-28-22

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

1fb1623f

Diff

@@ -45,7 +45,7 @@ variable {C D E : Type _} [Category C] [Category D] [Category E]
 /-- A natural transformation between functors `karoubi C ⥤ D` is determined
 by its value on objects coming from `C`. -/
 theorem nat_trans_eq {F G : Karoubi C ⥤ D} (φ : F ⟶ G) (P : Karoubi C) :
-    φ.app P = F.map (decompIdI P) ≫ φ.app P.x ≫ G.map (decompIdP P) :=
+    φ.app P = F.map (decompIdI P) ≫ φ.app P.pt ≫ G.map (decompIdP P) :=
   by
   rw [← φ.naturality, ← assoc, ← F.map_comp]
   conv =>
@@ -63,7 +63,7 @@ namespace FunctorExtension₁
 def obj (F : C ⥤ Karoubi D) : Karoubi C ⥤ Karoubi D
     where
   obj P :=
-    ⟨(F.obj P.x).x, (F.map P.p).f, by simpa only [F.map_comp, hom_ext] using F.congr_map P.idem⟩
+    ⟨(F.obj P.pt).pt, (F.map P.p).f, by simpa only [F.map_comp, hom_ext] using F.congr_map P.idem⟩
   map P Q f := ⟨(F.map f.f).f, by simpa only [F.map_comp, hom_ext] using F.congr_map f.comm⟩
 #align category_theory.idempotents.functor_extension₁.obj CategoryTheory.Idempotents.FunctorExtension₁.obj
 
@@ -74,7 +74,7 @@ extension of these functors to `karoubi C ⥤ karoubi D` -/
 def map {F G : C ⥤ Karoubi D} (φ : F ⟶ G) : obj F ⟶ obj G
     where
   app P :=
-    { f := (F.map P.p).f ≫ (φ.app P.x).f
+    { f := (F.map P.p).f ≫ (φ.app P.pt).f
       comm := by
         have h := φ.naturality P.p
         have h' := F.congr_map P.idem
@@ -294,7 +294,7 @@ variable {C D}
 theorem whiskeringLeft_obj_preimage_app {F G : Karoubi C ⥤ D}
     (τ : toKaroubi _ ⋙ F ⟶ toKaroubi _ ⋙ G) (P : Karoubi C) :
     (((whiskeringLeft _ _ _).obj (toKaroubi _)).preimage τ).app P =
-      F.map P.decompIdI ≫ τ.app P.x ≫ G.map P.decompIdP :=
+      F.map P.decompIdI ≫ τ.app P.pt ≫ G.map P.decompIdP :=
   by
   rw [nat_trans_eq]
   congr 2

5f68029a

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

5f68029a

chore(CategoryTheory): make Functor.Full a Prop (#12449)

Before this PR, Functor.Full contained the data of the preimage of maps by a full functor F. This PR makes Functor.Full a proposition. This is to prevent any diamond to appear.

The lemma Functor.image_preimage is also renamed Functor.map_preimage.

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

ce289a0e

Diff

@@ -262,7 +262,7 @@ theorem whiskeringLeft_obj_preimage_app {F G : Karoubi C ⥤ D}
       F.map P.decompId_i ≫ τ.app P.X ≫ G.map P.decompId_p := by
   rw [natTrans_eq]
   congr 2
-  rw [← congr_app (((whiskeringLeft _ _ _).obj (toKaroubi _)).image_preimage τ) P.X]
+  rw [← congr_app (((whiskeringLeft _ _ _).obj (toKaroubi _)).map_preimage τ) P.X]
   dsimp
   congr
 #align category_theory.idempotents.whiskering_left_obj_preimage_app CategoryTheory.Idempotents.whiskeringLeft_obj_preimage_app

5f68029a

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

@@ -197,7 +197,7 @@ section IsIdempotentComplete
 
 variable [IsIdempotentComplete D]
 
-noncomputable instance : IsEquivalence (toKaroubi D) :=
+noncomputable instance : (toKaroubi D).IsEquivalence :=
   toKaroubiIsEquivalence D
 
 /-- The equivalence of categories `(C ⥤ D) ≌ (Karoubi C ⥤ Karoubi D)` when `D`
@@ -211,7 +211,7 @@ theorem karoubiUniversal₂_functor_eq : (karoubiUniversal₂ C D).functor = fun
   rfl
 #align category_theory.idempotents.karoubi_universal₂_functor_eq CategoryTheory.Idempotents.karoubiUniversal₂_functor_eq
 
-noncomputable instance : IsEquivalence (functorExtension₂ C D) := by
+noncomputable instance : (functorExtension₂ C D).IsEquivalence := by
   rw [← karoubiUniversal₂_functor_eq]
   infer_instance
 
@@ -233,7 +233,7 @@ theorem karoubiUniversal_functor_eq : (karoubiUniversal C D).functor = functorEx
   rfl
 #align category_theory.idempotents.karoubi_universal_functor_eq CategoryTheory.Idempotents.karoubiUniversal_functor_eq
 
-noncomputable instance : IsEquivalence (functorExtension C D) := by
+noncomputable instance : (functorExtension C D).IsEquivalence := by
   rw [← karoubiUniversal_functor_eq]
   infer_instance
 
@@ -245,10 +245,10 @@ lemma isEquivalence_whiskeringLeft_obj_toKaroubi_aux :
       (karoubiUniversal C D).inverse := by
   rfl
 
-noncomputable instance : IsEquivalence ((whiskeringLeft C (Karoubi C) D).obj (toKaroubi C)) :=
-  IsEquivalence.cancelCompRight _
+noncomputable instance : ((whiskeringLeft C (Karoubi C) D).obj (toKaroubi C)).IsEquivalence :=
+  Functor.IsEquivalence.cancelCompRight _
   ((whiskeringRight C _ _).obj (toKaroubi D) ⋙ (whiskeringRight C _ _).obj (toKaroubi D).inv)
-  (IsEquivalence.ofEquivalence <| (toKaroubi D).asEquivalence.congrRight.trans
+  (Functor.IsEquivalence.ofEquivalence <| (toKaroubi D).asEquivalence.congrRight.trans
     (toKaroubi D).asEquivalence.symm.congrRight)
   (by
     rw [isEquivalence_whiskeringLeft_obj_toKaroubi_aux]

5f68029a

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

@@ -237,7 +237,7 @@ noncomputable instance : IsEquivalence (functorExtension C D) := by
   rw [← karoubiUniversal_functor_eq]
   infer_instance
 
--- porting note: added to avoid a timeout in the following definition
+-- Porting note: added to avoid a timeout in the following definition
 lemma isEquivalence_whiskeringLeft_obj_toKaroubi_aux :
     ((whiskeringLeft C (Karoubi C) D).obj (toKaroubi C) ⋙
       (whiskeringRight C D (Karoubi D)).obj (toKaroubi D) ⋙

5f68029a

refactor(CategoryTheory/Idempotents): replacing equalities of functors by isomorphisms (#8562)

In the context of idempotent completion of categories and the Dold-Kan equivalence, constructing some isomorphisms was very slow in Lean 3 but has been much faster in Lean 4, while using equalities of functors in Lean 3 was fast, but in Lean 4 it became very slow. In this PR, we switch to using mostly isomorphisms of functors: this also became necessary in order to make the refactor #8531 possible.

afb00b05

Diff

@@ -20,23 +20,14 @@ when `D` is idempotent complete, we get equivalences
 `karoubiUniversal₂ C D : C ⥤ D ≌ Karoubi C ⥤ Karoubi D`
 and `karoubiUniversal C D : C ⥤ D ≌ Karoubi C ⥤ D`.
 
-We occasionally state and use equalities of functors because it is
-sometimes convenient to use rewrites when proving properties of
-functors obtained using the constructions in this file. Users are
-encouraged to use the corresponding natural isomorphism
-whenever possible.
-
 -/
 
-
-open CategoryTheory.Category
-
-open CategoryTheory.Idempotents.Karoubi
-
 namespace CategoryTheory
 
 namespace Idempotents
 
+open Category Karoubi
+
 variable {C D E : Type*} [Category C] [Category D] [Category E]
 
 /-- A natural transformation between functors `Karoubi C ⥤ D` is determined
@@ -44,9 +35,7 @@ by its value on objects coming from `C`. -/
 theorem natTrans_eq {F G : Karoubi C ⥤ D} (φ : F ⟶ G) (P : Karoubi C) :
     φ.app P = F.map (decompId_i P) ≫ φ.app P.X ≫ G.map (decompId_p P) := by
   rw [← φ.naturality, ← assoc, ← F.map_comp]
-  conv =>
-    lhs
-    rw [← id_comp (φ.app P), ← F.map_id]
+  conv_lhs => rw [← id_comp (φ.app P), ← F.map_id]
   congr
   apply decompId
 #align category_theory.idempotents.nat_trans_eq CategoryTheory.Idempotents.natTrans_eq
@@ -110,28 +99,19 @@ def functorExtension₁ : (C ⥤ Karoubi D) ⥤ Karoubi C ⥤ Karoubi D where
     simp only [assoc]
 #align category_theory.idempotents.functor_extension₁ CategoryTheory.Idempotents.functorExtension₁
 
-theorem functorExtension₁_comp_whiskeringLeft_toKaroubi :
-    functorExtension₁ C D ⋙ (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C) =
-      𝟭 _ := by
-  refine' Functor.ext _ _
-  · intro F
-    refine' Functor.ext _ _
-    · intro X
-      ext
-      · simp
-      · simp
-    · aesop_cat
-  · intro F G φ
-    aesop_cat
-#align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi
-
 /-- The natural isomorphism expressing that functors `Karoubi C ⥤ Karoubi D` obtained
 using `functorExtension₁` actually extends the original functors `C ⥤ Karoubi D`. -/
 @[simps!]
-def functorExtension₁_comp_whiskeringLeft_toKaroubi_iso :
+def functorExtension₁CompWhiskeringLeftToKaroubiIso :
     functorExtension₁ C D ⋙ (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C) ≅ 𝟭 _ :=
-  eqToIso (functorExtension₁_comp_whiskeringLeft_toKaroubi C D)
-#align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi_iso CategoryTheory.Idempotents.functorExtension₁_comp_whiskeringLeft_toKaroubi_iso
+  NatIso.ofComponents
+    (fun F => NatIso.ofComponents
+      (fun X =>
+        { hom := { f := (F.obj X).p }
+          inv := { f := (F.obj X).p } })
+      (fun {X Y} f => by aesop_cat))
+    (by aesop_cat)
+#align category_theory.idempotents.functor_extension₁_comp_whiskering_left_to_karoubi_iso CategoryTheory.Idempotents.functorExtension₁CompWhiskeringLeftToKaroubiIso
 
 /-- The counit isomorphism of the equivalence `(C ⥤ Karoubi D) ≌ (Karoubi C ⥤ Karoubi D)`. -/
 @[simps!]
@@ -177,26 +157,20 @@ def KaroubiUniversal₁.counitIso :
 def karoubiUniversal₁ : C ⥤ Karoubi D ≌ Karoubi C ⥤ Karoubi D where
   functor := functorExtension₁ C D
   inverse := (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C)
-  unitIso := (functorExtension₁_comp_whiskeringLeft_toKaroubi_iso C D).symm
+  unitIso := (functorExtension₁CompWhiskeringLeftToKaroubiIso C D).symm
   counitIso := KaroubiUniversal₁.counitIso C D
   functor_unitIso_comp F := by
     ext P
-    dsimp [FunctorExtension₁.map, KaroubiUniversal₁.counitIso]
-    simp only [eqToHom_app, Functor.id_obj, Functor.comp_obj, functorExtension₁_obj,
-      whiskeringLeft_obj_obj, eqToHom_f, FunctorExtension₁.obj_obj_X, toKaroubi_obj_X,
-      eqToHom_refl, comp_id, comp_p, ←comp_f, ← F.map_comp, P.idem]
+    dsimp
+    rw [comp_p, ← comp_f, ← F.map_comp, P.idem]
 #align category_theory.idempotents.karoubi_universal₁ CategoryTheory.Idempotents.karoubiUniversal₁
 
-theorem functorExtension₁_comp (F : C ⥤ Karoubi D) (G : D ⥤ Karoubi E) :
-    (functorExtension₁ C E).obj (F ⋙ (functorExtension₁ D E).obj G) =
-      (functorExtension₁ C D).obj F ⋙ (functorExtension₁ D E).obj G := by
-  refine' Functor.ext _ _
-  · aesop_cat
-  · intro X Y f
-    ext
-    simp only [eqToHom_refl, id_comp, comp_id]
-    rfl
-#align category_theory.idempotents.functor_extension₁_comp CategoryTheory.Idempotents.functorExtension₁_comp
+/-- Compatibility isomorphisms of `functorExtension₁` with respect to the
+composition of functors. -/
+def functorExtension₁Comp (F : C ⥤ Karoubi D) (G : D ⥤ Karoubi E) :
+    (functorExtension₁ C E).obj (F ⋙ (functorExtension₁ D E).obj G) ≅
+      (functorExtension₁ C D).obj F ⋙ (functorExtension₁ D E).obj G :=
+  Iso.refl _
 
 /-- The canonical functor `(C ⥤ D) ⥤ (Karoubi C ⥤ Karoubi D)` -/
 @[simps!]
@@ -204,20 +178,19 @@ def functorExtension₂ : (C ⥤ D) ⥤ Karoubi C ⥤ Karoubi D :=
   (whiskeringRight C D (Karoubi D)).obj (toKaroubi D) ⋙ functorExtension₁ C D
 #align category_theory.idempotents.functor_extension₂ CategoryTheory.Idempotents.functorExtension₂
 
-theorem functorExtension₂_comp_whiskeringLeft_toKaroubi :
-    functorExtension₂ C D ⋙ (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C) =
-      (whiskeringRight C D (Karoubi D)).obj (toKaroubi D) := by
-  simp only [functorExtension₂, Functor.assoc, functorExtension₁_comp_whiskeringLeft_toKaroubi,
-    Functor.comp_id]
-#align category_theory.idempotents.functor_extension₂_comp_whiskering_left_to_karoubi CategoryTheory.Idempotents.functorExtension₂_comp_whiskeringLeft_toKaroubi
-
 /-- The natural isomorphism expressing that functors `Karoubi C ⥤ Karoubi D` obtained
 using `functorExtension₂` actually extends the original functors `C ⥤ D`. -/
 @[simps!]
 def functorExtension₂CompWhiskeringLeftToKaroubiIso :
     functorExtension₂ C D ⋙ (whiskeringLeft C (Karoubi C) (Karoubi D)).obj (toKaroubi C) ≅
       (whiskeringRight C D (Karoubi D)).obj (toKaroubi D) :=
-  eqToIso (functorExtension₂_comp_whiskeringLeft_toKaroubi C D)
+  NatIso.ofComponents
+    (fun F => NatIso.ofComponents
+      (fun X =>
+        { hom := { f := 𝟙 _ }
+          inv := { f := 𝟙 _ } })
+      (by aesop_cat))
+    (by aesop_cat)
 #align category_theory.idempotents.functor_extension₂_comp_whiskering_left_to_karoubi_iso CategoryTheory.Idempotents.functorExtension₂CompWhiskeringLeftToKaroubiIso
 
 section IsIdempotentComplete

5f68029a

feat: forward port of Mathlib.AlgebraicTopology.DoldKan.Equivalence (#6444)

In this PR (which is a forward port of https://github.com/leanprover-community/mathlib/pull/17926), the Dold-Kan equivalence between simplicial objects and chain complexes in abelian categories is constructed.

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

c532d7b8

Diff

@@ -225,7 +225,7 @@ section IsIdempotentComplete
 variable [IsIdempotentComplete D]
 
 noncomputable instance : IsEquivalence (toKaroubi D) :=
-  toKaroubi_isEquivalence D
+  toKaroubiIsEquivalence D
 
 /-- The equivalence of categories `(C ⥤ D) ≌ (Karoubi C ⥤ Karoubi D)` when `D`
 is idempotent complete. -/
@@ -247,7 +247,7 @@ when `D` is idempotent complete. -/
 @[simps!]
 noncomputable def functorExtension : (C ⥤ D) ⥤ Karoubi C ⥤ D :=
   functorExtension₂ C D ⋙
-    (whiskeringRight (Karoubi C) (Karoubi D) D).obj (toKaroubi_isEquivalence D).inverse
+    (whiskeringRight (Karoubi C) (Karoubi D) D).obj (toKaroubiIsEquivalence D).inverse
 #align category_theory.idempotents.functor_extension CategoryTheory.Idempotents.functorExtension
 
 /-- The equivalence `(C ⥤ D) ≌ (Karoubi C ⥤ D)` when `D` is idempotent complete. -/

5f68029a

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

@@ -37,7 +37,7 @@ namespace CategoryTheory
 
 namespace Idempotents
 
-variable {C D E : Type _} [Category C] [Category D] [Category E]
+variable {C D E : Type*} [Category C] [Category D] [Category E]
 
 /-- A natural transformation between functors `Karoubi C ⥤ D` is determined
 by its value on objects coming from `C`. -/

5f68029a

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) 2022 Joël Riou. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joël Riou
-
-! This file was ported from Lean 3 source module category_theory.idempotents.functor_extension
-! leanprover-community/mathlib commit 5f68029a863bdf76029fa0f7a519e6163c14152e
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Idempotents.Karoubi
 
+#align_import category_theory.idempotents.functor_extension from "leanprover-community/mathlib"@"5f68029a863bdf76029fa0f7a519e6163c14152e"
+
 /-!
 # Extension of functors to the idempotent completion

5f68029a

chore: fix focusing dots (#5708)

This PR is the result of running

find . -type f -name "*.lean" -exec sed -i -E 's/^( +)\. /\1· /' {} \;
find . -type f -name "*.lean" -exec sed -i -E 'N;s/^( +·)\n +(.*)$/\1 \2/;P;D' {} \;

which firstly replaces . focusing dots with · and secondly removes isolated instances of such dots, unifying them with the following line. A new rule is placed in the style linter to verify this.

cb02d09e

Diff

@@ -121,8 +121,8 @@ theorem functorExtension₁_comp_whiskeringLeft_toKaroubi :
     refine' Functor.ext _ _
     · intro X
       ext
-      . simp
-      . simp
+      · simp
+      · simp
     · aesop_cat
   · intro F G φ
     aesop_cat
@@ -194,8 +194,8 @@ theorem functorExtension₁_comp (F : C ⥤ Karoubi D) (G : D ⥤ Karoubi E) :
     (functorExtension₁ C E).obj (F ⋙ (functorExtension₁ D E).obj G) =
       (functorExtension₁ C D).obj F ⋙ (functorExtension₁ D E).obj G := by
   refine' Functor.ext _ _
-  . aesop_cat
-  . intro X Y f
+  · aesop_cat
+  · intro X Y f
     ext
     simp only [eqToHom_refl, id_comp, comp_id]
     rfl

5f68029a

chore: clean up spacing around at and goals (#5387)

Changes are of the form

some_tactic at h⊢ -> some_tactic at h ⊢
some_tactic at h -> some_tactic at h

2a870323

Diff

@@ -84,7 +84,7 @@ def map {F G : C ⥤ Karoubi D} (φ : F ⟶ G) : obj F ⟶ obj G where
     have h := φ.naturality f.f
     have h' := F.congr_map (comp_p f)
     have h'' := F.congr_map (p_comp f)
-    simp only [hom_ext_iff, Functor.map_comp, comp_f] at h h' h''⊢
+    simp only [hom_ext_iff, Functor.map_comp, comp_f] at h h' h'' ⊢
     slice_rhs 2 3 => rw [← h]
     slice_lhs 1 2 => rw [h']
     slice_rhs 1 2 => rw [h'']

5f68029a

chore: reenable eta, bump to nightly 2023-05-16 (#3414)

Now that leanprover/lean4#2210 has been merged, this PR:

removes all the set_option synthInstance.etaExperiment true commands (and some etaExperiment% term elaborators)
removes many but not quite all set_option maxHeartbeats commands
makes various other changes required to cope with leanprover/lean4#2210.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Matthew Ballard <matt@mrb.email>

a6e1045f

Diff

@@ -259,7 +259,6 @@ noncomputable def karoubiUniversal : C ⥤ D ≌ Karoubi C ⥤ D :=
   (karoubiUniversal₂ C D).trans (Equivalence.congrRight (toKaroubi D).asEquivalence.symm)
 #align category_theory.idempotents.karoubi_universal CategoryTheory.Idempotents.karoubiUniversal
 
-set_option maxHeartbeats 400000 in
 theorem karoubiUniversal_functor_eq : (karoubiUniversal C D).functor = functorExtension C D :=
   rfl
 #align category_theory.idempotents.karoubi_universal_functor_eq CategoryTheory.Idempotents.karoubiUniversal_functor_eq

5f68029a

chore: Upgrade reassoc's simplification skills (#3531)

See zulip discussion

The only lemmas added to reassoc's simplification set are:

Functor.id_obj, Functor.id_map, Functor.comp_obj, Functor.comp_map

all of which are definitional equalities.

f965ca42

Diff

@@ -278,13 +278,12 @@ lemma isEquivalence_whiskeringLeft_obj_toKaroubi_aux :
 
 noncomputable instance : IsEquivalence ((whiskeringLeft C (Karoubi C) D).obj (toKaroubi C)) :=
   IsEquivalence.cancelCompRight _
-    ((whiskeringRight C _ _).obj (toKaroubi D) ⋙ (whiskeringRight C _ _).obj (toKaroubi D).inv)
-    (IsEquivalence.ofEquivalence
-      (@Equivalence.congrRight _ _ _ _ C _
-        ((toKaroubi D).asEquivalence.trans (toKaroubi D).asEquivalence.symm)))
-    (by
-      rw [isEquivalence_whiskeringLeft_obj_toKaroubi_aux]
-      infer_instance)
+  ((whiskeringRight C _ _).obj (toKaroubi D) ⋙ (whiskeringRight C _ _).obj (toKaroubi D).inv)
+  (IsEquivalence.ofEquivalence <| (toKaroubi D).asEquivalence.congrRight.trans
+    (toKaroubi D).asEquivalence.symm.congrRight)
+  (by
+    rw [isEquivalence_whiskeringLeft_obj_toKaroubi_aux]
+    infer_instance)
 
 variable {C D}

5f68029a

feat: port CategoryTheory.Idempotents.FunctorExtension (#3300)

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

37b23dab

`category_theory.idempotents.functor_extension` ⟷ `Mathlib.CategoryTheory.Idempotents.FunctorExtension`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 3 + 316

category_theory.idempotents.functor_extension ⟷ Mathlib.CategoryTheory.Idempotents.FunctorExtension

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 3 + 316

`category_theory.idempotents.functor_extension` ⟷ `Mathlib.CategoryTheory.Idempotents.FunctorExtension`