category_theory.idempotents.functor_categories

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

31019c25

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

19cb3751

bump to nightly-2024-04-14-09

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

f736ea6b

Diff

@@ -148,7 +148,7 @@ def karoubiFunctorCategoryEmbedding : Karoubi (J ⥤ C) ⥤ J ⥤ Karoubi C
 #align category_theory.idempotents.karoubi_functor_category_embedding CategoryTheory.Idempotents.karoubiFunctorCategoryEmbedding
 -/
 
-instance : Full (karoubiFunctorCategoryEmbedding J C)
+instance : CategoryTheory.Functor.Full (karoubiFunctorCategoryEmbedding J C)
     where
   preimage P Q f :=
     { f :=
@@ -162,7 +162,7 @@ instance : Full (karoubiFunctorCategoryEmbedding J C)
       comm := by ext j; exact (f.app j).comm }
   witness' P Q f := by ext j; rfl
 
-instance : Faithful (karoubiFunctorCategoryEmbedding J C)
+instance : CategoryTheory.Functor.Faithful (karoubiFunctorCategoryEmbedding J C)
     where map_injective' P Q f f' h := by ext j; exact hom_ext.mp (congr_app h j)
 
 #print CategoryTheory.Idempotents.toKaroubi_comp_karoubiFunctorCategoryEmbedding /-

19cb3751

bump to nightly-2024-03-17-08

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

22f01ce4

Diff

@@ -121,7 +121,7 @@ def obj (P : Karoubi (J ⥤ C)) : J ⥤ Karoubi C
       comm := by
         simp only [nat_trans.naturality, assoc]
         have h := congr_app P.idem j
-        rw [nat_trans.comp_app] at h 
+        rw [nat_trans.comp_app] at h
         slice_rhs 1 3 => erw [h, h] }
 #align category_theory.idempotents.karoubi_functor_category_embedding.obj CategoryTheory.Idempotents.KaroubiFunctorCategoryEmbedding.obj
 -/
@@ -156,8 +156,8 @@ instance : Full (karoubiFunctorCategoryEmbedding J C)
           naturality' := fun j j' φ => by
             rw [← karoubi.comp_p_assoc]
             have h := hom_ext.mp (f.naturality φ)
-            simp only [comp_f] at h 
-            dsimp [karoubi_functor_category_embedding] at h 
+            simp only [comp_f] at h
+            dsimp [karoubi_functor_category_embedding] at h
             erw [← h, assoc, ← P.p.naturality_assoc φ, p_comp (f.app j')] }
       comm := by ext j; exact (f.app j).comm }
   witness' P Q f := by ext j; rfl

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_categories from "leanprover-community/mathlib"@"19cb3751e5e9b3d97adb51023949c50c13b5fdfd"

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_categories
-! 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_categories from "leanprover-community/mathlib"@"19cb3751e5e9b3d97adb51023949c50c13b5fdfd"
+
 /-!
 # Idempotent completeness and functor categories

19cb3751

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -40,27 +40,35 @@ namespace Idempotents
 
 variable {J C : Type _} [Category J] [Category C] (P Q : Karoubi (J ⥤ C)) (f : P ⟶ Q) (X : J)
 
+#print CategoryTheory.Idempotents.app_idem /-
 @[simp, reassoc]
 theorem app_idem : P.p.app X ≫ P.p.app X = P.p.app X :=
   congr_app P.idem X
 #align category_theory.idempotents.app_idem CategoryTheory.Idempotents.app_idem
+-/
 
 variable {P Q}
 
+#print CategoryTheory.Idempotents.app_p_comp /-
 @[simp, reassoc]
 theorem app_p_comp : P.p.app X ≫ f.f.app X = f.f.app X :=
   congr_app (p_comp f) X
 #align category_theory.idempotents.app_p_comp CategoryTheory.Idempotents.app_p_comp
+-/
 
+#print CategoryTheory.Idempotents.app_comp_p /-
 @[simp, reassoc]
 theorem app_comp_p : f.f.app X ≫ Q.p.app X = f.f.app X :=
   congr_app (comp_p f) X
 #align category_theory.idempotents.app_comp_p CategoryTheory.Idempotents.app_comp_p
+-/
 
+#print CategoryTheory.Idempotents.app_p_comm /-
 @[reassoc]
 theorem app_p_comm : P.p.app X ≫ f.f.app X = f.f.app X ≫ Q.p.app X :=
   congr_app (p_comm f) X
 #align category_theory.idempotents.app_p_comm CategoryTheory.Idempotents.app_p_comm
+-/
 
 variable (J C)
 
@@ -103,6 +111,7 @@ namespace KaroubiFunctorCategoryEmbedding
 
 variable {J C}
 
+#print CategoryTheory.Idempotents.KaroubiFunctorCategoryEmbedding.obj /-
 /-- On objects, the functor which sends a formal direct factor `P` of a
 functor `F : J ⥤ C` to the functor `J ⥤ karoubi C` which sends `(j : J)` to
 the corresponding direct factor of `F.obj j`. -/
@@ -118,17 +127,21 @@ def obj (P : Karoubi (J ⥤ C)) : J ⥤ Karoubi C
         rw [nat_trans.comp_app] at h 
         slice_rhs 1 3 => erw [h, h] }
 #align category_theory.idempotents.karoubi_functor_category_embedding.obj CategoryTheory.Idempotents.KaroubiFunctorCategoryEmbedding.obj
+-/
 
+#print CategoryTheory.Idempotents.KaroubiFunctorCategoryEmbedding.map /-
 /-- Tautological action on maps of the functor `karoubi (J ⥤ C) ⥤ (J ⥤ karoubi C)`. -/
 @[simps]
 def map {P Q : Karoubi (J ⥤ C)} (f : P ⟶ Q) : obj P ⟶ obj Q
     where app j := ⟨f.f.app j, congr_app f.comm j⟩
 #align category_theory.idempotents.karoubi_functor_category_embedding.map CategoryTheory.Idempotents.KaroubiFunctorCategoryEmbedding.map
+-/
 
 end KaroubiFunctorCategoryEmbedding
 
 variable (J C)
 
+#print CategoryTheory.Idempotents.karoubiFunctorCategoryEmbedding /-
 /-- The tautological fully faithful functor `karoubi (J ⥤ C) ⥤ (J ⥤ karoubi C)`. -/
 @[simps]
 def karoubiFunctorCategoryEmbedding : Karoubi (J ⥤ C) ⥤ J ⥤ Karoubi C
@@ -136,6 +149,7 @@ def karoubiFunctorCategoryEmbedding : Karoubi (J ⥤ C) ⥤ J ⥤ Karoubi C
   obj := KaroubiFunctorCategoryEmbedding.obj
   map P Q := KaroubiFunctorCategoryEmbedding.map
 #align category_theory.idempotents.karoubi_functor_category_embedding CategoryTheory.Idempotents.karoubiFunctorCategoryEmbedding
+-/
 
 instance : Full (karoubiFunctorCategoryEmbedding J C)
     where
@@ -154,6 +168,7 @@ instance : Full (karoubiFunctorCategoryEmbedding J C)
 instance : Faithful (karoubiFunctorCategoryEmbedding J C)
     where map_injective' P Q f f' h := by ext j; exact hom_ext.mp (congr_app h j)
 
+#print CategoryTheory.Idempotents.toKaroubi_comp_karoubiFunctorCategoryEmbedding /-
 /-- The composition of `(J ⥤ C) ⥤ karoubi (J ⥤ C)` and `karoubi (J ⥤ C) ⥤ (J ⥤ karoubi C)`
 equals the functor `(J ⥤ C) ⥤ (J ⥤ karoubi C)` given by the composition with
 `to_karoubi C : C ⥤ karoubi C`. -/
@@ -175,6 +190,7 @@ theorem toKaroubi_comp_karoubiFunctorCategoryEmbedding :
     · intro j
       rfl
 #align category_theory.idempotents.to_karoubi_comp_karoubi_functor_category_embedding CategoryTheory.Idempotents.toKaroubi_comp_karoubiFunctorCategoryEmbedding
+-/
 
 end Idempotents

19cb3751

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -115,7 +115,7 @@ def obj (P : Karoubi (J ⥤ C)) : J ⥤ Karoubi C
       comm := by
         simp only [nat_trans.naturality, assoc]
         have h := congr_app P.idem j
-        rw [nat_trans.comp_app] at h
+        rw [nat_trans.comp_app] at h 
         slice_rhs 1 3 => erw [h, h] }
 #align category_theory.idempotents.karoubi_functor_category_embedding.obj CategoryTheory.Idempotents.KaroubiFunctorCategoryEmbedding.obj
 
@@ -145,8 +145,8 @@ instance : Full (karoubiFunctorCategoryEmbedding J C)
           naturality' := fun j j' φ => by
             rw [← karoubi.comp_p_assoc]
             have h := hom_ext.mp (f.naturality φ)
-            simp only [comp_f] at h
-            dsimp [karoubi_functor_category_embedding] at h
+            simp only [comp_f] at h 
+            dsimp [karoubi_functor_category_embedding] at h 
             erw [← h, assoc, ← P.p.naturality_assoc φ, p_comp (f.app j')] }
       comm := by ext j; exact (f.app j).comm }
   witness' P Q f := by ext j; rfl

19cb3751

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -40,12 +40,6 @@ namespace Idempotents
 
 variable {J C : Type _} [Category J] [Category C] (P Q : Karoubi (J ⥤ C)) (f : P ⟶ Q) (X : J)
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.app_idem CategoryTheory.Idempotents.app_idemₓ'. -/
 @[simp, reassoc]
 theorem app_idem : P.p.app X ≫ P.p.app X = P.p.app X :=
   congr_app P.idem X
@@ -53,25 +47,16 @@ theorem app_idem : P.p.app X ≫ P.p.app X = P.p.app X :=
 
 variable {P Q}
 
-/- warning: category_theory.idempotents.app_p_comp -> CategoryTheory.Idempotents.app_p_comp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.app_p_comp CategoryTheory.Idempotents.app_p_compₓ'. -/
 @[simp, reassoc]
 theorem app_p_comp : P.p.app X ≫ f.f.app X = f.f.app X :=
   congr_app (p_comp f) X
 #align category_theory.idempotents.app_p_comp CategoryTheory.Idempotents.app_p_comp
 
-/- warning: category_theory.idempotents.app_comp_p -> CategoryTheory.Idempotents.app_comp_p is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.app_comp_p CategoryTheory.Idempotents.app_comp_pₓ'. -/
 @[simp, reassoc]
 theorem app_comp_p : f.f.app X ≫ Q.p.app X = f.f.app X :=
   congr_app (comp_p f) X
 #align category_theory.idempotents.app_comp_p CategoryTheory.Idempotents.app_comp_p
 
-/- warning: category_theory.idempotents.app_p_comm -> CategoryTheory.Idempotents.app_p_comm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.app_p_comm CategoryTheory.Idempotents.app_p_commₓ'. -/
 @[reassoc]
 theorem app_p_comm : P.p.app X ≫ f.f.app X = f.f.app X ≫ Q.p.app X :=
   congr_app (p_comm f) X
@@ -118,12 +103,6 @@ namespace KaroubiFunctorCategoryEmbedding
 
 variable {J C}
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_functor_category_embedding.obj CategoryTheory.Idempotents.KaroubiFunctorCategoryEmbedding.objₓ'. -/
 /-- On objects, the functor which sends a formal direct factor `P` of a
 functor `F : J ⥤ C` to the functor `J ⥤ karoubi C` which sends `(j : J)` to
 the corresponding direct factor of `F.obj j`. -/
@@ -140,12 +119,6 @@ def obj (P : Karoubi (J ⥤ C)) : J ⥤ Karoubi C
         slice_rhs 1 3 => erw [h, h] }
 #align category_theory.idempotents.karoubi_functor_category_embedding.obj CategoryTheory.Idempotents.KaroubiFunctorCategoryEmbedding.obj
 
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 /-- Tautological action on maps of the functor `karoubi (J ⥤ C) ⥤ (J ⥤ karoubi C)`. -/
 @[simps]
 def map {P Q : Karoubi (J ⥤ C)} (f : P ⟶ Q) : obj P ⟶ obj Q
@@ -156,12 +129,6 @@ end KaroubiFunctorCategoryEmbedding
 
 variable (J C)
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_functor_category_embedding CategoryTheory.Idempotents.karoubiFunctorCategoryEmbeddingₓ'. -/
 /-- The tautological fully faithful functor `karoubi (J ⥤ C) ⥤ (J ⥤ karoubi C)`. -/
 @[simps]
 def karoubiFunctorCategoryEmbedding : Karoubi (J ⥤ C) ⥤ J ⥤ Karoubi C
@@ -187,9 +154,6 @@ instance : Full (karoubiFunctorCategoryEmbedding J C)
 instance : Faithful (karoubiFunctorCategoryEmbedding J C)
     where map_injective' P Q f f' h := by ext j; exact hom_ext.mp (congr_app h j)
 
-/- warning: category_theory.idempotents.to_karoubi_comp_karoubi_functor_category_embedding -> CategoryTheory.Idempotents.toKaroubi_comp_karoubiFunctorCategoryEmbedding is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.to_karoubi_comp_karoubi_functor_category_embedding CategoryTheory.Idempotents.toKaroubi_comp_karoubiFunctorCategoryEmbeddingₓ'. -/
 /-- The composition of `(J ⥤ C) ⥤ karoubi (J ⥤ C)` and `karoubi (J ⥤ C) ⥤ (J ⥤ karoubi C)`
 equals the functor `(J ⥤ C) ⥤ (J ⥤ karoubi C)` given by the composition with
 `to_karoubi C : C ⥤ karoubi C`. -/

19cb3751

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -93,9 +93,7 @@ instance functor_category_isIdempotentComplete [IsIdempotentComplete C] :
       map := fun j j' φ =>
         equalizer.lift (limits.equalizer.ι (𝟙 _) (p.app j) ≫ F.map φ)
           (by rw [comp_id, assoc, p.naturality φ, ← assoc, ← limits.equalizer.condition, comp_id])
-      map_id' := fun j => by
-        ext
-        simp only [comp_id, Functor.map_id, equalizer.lift_ι, id_comp]
+      map_id' := fun j => by ext; simp only [comp_id, Functor.map_id, equalizer.lift_ι, id_comp]
       map_comp' := fun j j' j'' φ φ' => by
         ext
         simp only [assoc, functor.map_comp, equalizer.lift_ι, equalizer.lift_ι_assoc] }
@@ -103,11 +101,7 @@ instance functor_category_isIdempotentComplete [IsIdempotentComplete C] :
     { app := fun j => equalizer.ι _ _
       naturality' := fun j j' φ => by rw [equalizer.lift_ι] }
   let e : F ⟶ Y :=
-    { app := fun j =>
-        equalizer.lift (p.app j)
-          (by
-            rw [comp_id]
-            exact (congr_app hp j).symm)
+    { app := fun j => equalizer.lift (p.app j) (by rw [comp_id]; exact (congr_app hp j).symm)
       naturality' := fun j j' φ => by
         ext
         simp only [assoc, equalizer.lift_ι, nat_trans.naturality, equalizer.lift_ι_assoc] }
@@ -187,17 +181,11 @@ instance : Full (karoubiFunctorCategoryEmbedding J C)
             simp only [comp_f] at h
             dsimp [karoubi_functor_category_embedding] at h
             erw [← h, assoc, ← P.p.naturality_assoc φ, p_comp (f.app j')] }
-      comm := by
-        ext j
-        exact (f.app j).comm }
-  witness' P Q f := by
-    ext j
-    rfl
+      comm := by ext j; exact (f.app j).comm }
+  witness' P Q f := by ext j; rfl
 
 instance : Faithful (karoubiFunctorCategoryEmbedding J C)
-    where map_injective' P Q f f' h := by
-    ext j
-    exact hom_ext.mp (congr_app h j)
+    where map_injective' P Q f f' h := by ext j; exact hom_ext.mp (congr_app h j)
 
 /- warning: category_theory.idempotents.to_karoubi_comp_karoubi_functor_category_embedding -> CategoryTheory.Idempotents.toKaroubi_comp_karoubiFunctorCategoryEmbedding is a dubious translation:
 <too large>

19cb3751

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -54,10 +54,7 @@ theorem app_idem : P.p.app X ≫ P.p.app X = P.p.app X :=
 variable {P Q}
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.app_p_comp CategoryTheory.Idempotents.app_p_compₓ'. -/
 @[simp, reassoc]
 theorem app_p_comp : P.p.app X ≫ f.f.app X = f.f.app X :=
@@ -65,10 +62,7 @@ theorem app_p_comp : P.p.app X ≫ f.f.app X = f.f.app X :=
 #align category_theory.idempotents.app_p_comp CategoryTheory.Idempotents.app_p_comp
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.app_comp_p CategoryTheory.Idempotents.app_comp_pₓ'. -/
 @[simp, reassoc]
 theorem app_comp_p : f.f.app X ≫ Q.p.app X = f.f.app X :=
@@ -76,10 +70,7 @@ theorem app_comp_p : f.f.app X ≫ Q.p.app X = f.f.app X :=
 #align category_theory.idempotents.app_comp_p CategoryTheory.Idempotents.app_comp_p
 
 /- warning: category_theory.idempotents.app_p_comm -> CategoryTheory.Idempotents.app_p_comm is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.app_p_comm CategoryTheory.Idempotents.app_p_commₓ'. -/
 @[reassoc]
 theorem app_p_comm : P.p.app X ≫ f.f.app X = f.f.app X ≫ Q.p.app X :=
@@ -209,10 +200,7 @@ instance : Faithful (karoubiFunctorCategoryEmbedding J C)
     exact hom_ext.mp (congr_app h j)
 
 /- warning: category_theory.idempotents.to_karoubi_comp_karoubi_functor_category_embedding -> CategoryTheory.Idempotents.toKaroubi_comp_karoubiFunctorCategoryEmbedding 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.to_karoubi_comp_karoubi_functor_category_embedding CategoryTheory.Idempotents.toKaroubi_comp_karoubiFunctorCategoryEmbeddingₓ'. -/
 /-- The composition of `(J ⥤ C) ⥤ karoubi (J ⥤ C)` and `karoubi (J ⥤ C) ⥤ (J ⥤ karoubi C)`
 equals the functor `(J ⥤ C) ⥤ (J ⥤ karoubi C)` given by the composition with

19cb3751

bump to nightly-2023-05-23-03

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

ed98987c

Diff

@@ -46,7 +46,7 @@ lean 3 declaration is
 but is expected to have type
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(CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P)) X) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P)) X) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P)) X) (CategoryTheory.NatTrans.app.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) (CategoryTheory.Idempotents.Karoubi.p.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) X) (CategoryTheory.NatTrans.app.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) (CategoryTheory.Idempotents.Karoubi.p.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) X)) (CategoryTheory.NatTrans.app.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) (CategoryTheory.Idempotents.Karoubi.p.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) X)
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.app_idem CategoryTheory.Idempotents.app_idemₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem app_idem : P.p.app X ≫ P.p.app X = P.p.app X :=
   congr_app P.idem X
 #align category_theory.idempotents.app_idem CategoryTheory.Idempotents.app_idem
@@ -59,7 +59,7 @@ lean 3 declaration is
 but is expected to have type
   forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u1} J] [_inst_2 : CategoryTheory.Category.{u4, u3} C] {P : CategoryTheory.Idempotents.Karoubi.{max (max (max u3 u1) u4) u2, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2)} {Q : CategoryTheory.Idempotents.Karoubi.{max (max (max u3 u1) u4) u2, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2)} (f : Quiver.Hom.{max (succ u1) (succ u4), max (max (max u1 u3) u2) u4} (CategoryTheory.Idempotents.Karoubi.{max (max (max u3 u1) u4) u2, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2)) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u4, max (max (max u1 u3) u2) u4} (CategoryTheory.Idempotents.Karoubi.{max (max (max u3 u1) u4) u2, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2)) (CategoryTheory.Category.toCategoryStruct.{max u1 u4, max (max (max u1 u3) u2) u4} (CategoryTheory.Idempotents.Karoubi.{max (max (max u3 u1) u4) u2, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2)))) P Q) (X : J), Eq.{succ u4} (Quiver.Hom.{succ u4, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P)) X) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q)) X)) (CategoryTheory.CategoryStruct.comp.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P)) X) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P)) X) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q)) X) (CategoryTheory.NatTrans.app.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) (CategoryTheory.Idempotents.Karoubi.p.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) X) (CategoryTheory.NatTrans.app.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q) (CategoryTheory.Idempotents.Karoubi.Hom.f.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P Q f) X)) (CategoryTheory.NatTrans.app.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q) (CategoryTheory.Idempotents.Karoubi.Hom.f.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P Q f) X)
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.app_p_comp CategoryTheory.Idempotents.app_p_compₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem app_p_comp : P.p.app X ≫ f.f.app X = f.f.app X :=
   congr_app (p_comp f) X
 #align category_theory.idempotents.app_p_comp CategoryTheory.Idempotents.app_p_comp
@@ -70,7 +70,7 @@ lean 3 declaration is
 but is expected to have type
   forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u1} J] [_inst_2 : CategoryTheory.Category.{u4, u3} C] {P : CategoryTheory.Idempotents.Karoubi.{max (max (max u3 u1) u4) u2, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2)} {Q : CategoryTheory.Idempotents.Karoubi.{max (max (max u3 u1) u4) u2, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2)} (f : Quiver.Hom.{max (succ u1) (succ u4), max (max (max u1 u3) u2) u4} (CategoryTheory.Idempotents.Karoubi.{max (max (max u3 u1) u4) u2, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2)) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u4, max (max (max u1 u3) u2) u4} (CategoryTheory.Idempotents.Karoubi.{max (max (max u3 u1) u4) u2, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2)) (CategoryTheory.Category.toCategoryStruct.{max u1 u4, max (max (max u1 u3) u2) u4} (CategoryTheory.Idempotents.Karoubi.{max (max (max u3 u1) u4) u2, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2)))) P Q) (X : J), Eq.{succ u4} (Quiver.Hom.{succ u4, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P)) X) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q)) X)) (CategoryTheory.CategoryStruct.comp.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P)) X) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q)) X) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q)) X) (CategoryTheory.NatTrans.app.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q) (CategoryTheory.Idempotents.Karoubi.Hom.f.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P Q f) X) (CategoryTheory.NatTrans.app.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q) (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q) (CategoryTheory.Idempotents.Karoubi.p.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q) X)) (CategoryTheory.NatTrans.app.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q) (CategoryTheory.Idempotents.Karoubi.Hom.f.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P Q f) X)
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.app_comp_p CategoryTheory.Idempotents.app_comp_pₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem app_comp_p : f.f.app X ≫ Q.p.app X = f.f.app X :=
   congr_app (comp_p f) X
 #align category_theory.idempotents.app_comp_p CategoryTheory.Idempotents.app_comp_p
@@ -81,7 +81,7 @@ lean 3 declaration is
 but is expected to have type
   forall {J : Type.{u1}} {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u2, u1} J] [_inst_2 : CategoryTheory.Category.{u4, u3} C] {P : CategoryTheory.Idempotents.Karoubi.{max (max (max u3 u1) u4) u2, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2)} {Q : CategoryTheory.Idempotents.Karoubi.{max (max (max u3 u1) u4) u2, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2)} (f : Quiver.Hom.{max (succ u1) (succ u4), max (max (max u1 u3) u2) u4} (CategoryTheory.Idempotents.Karoubi.{max (max (max u3 u1) u4) u2, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2)) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u4, max (max (max u1 u3) u2) u4} (CategoryTheory.Idempotents.Karoubi.{max (max (max u3 u1) u4) u2, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2)) (CategoryTheory.Category.toCategoryStruct.{max u1 u4, max (max (max u1 u3) u2) u4} (CategoryTheory.Idempotents.Karoubi.{max (max (max u3 u1) u4) u2, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2)))) P Q) (X : J), Eq.{succ u4} (Quiver.Hom.{succ u4, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P)) X) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q)) X)) (CategoryTheory.CategoryStruct.comp.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P)) X) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P)) X) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q)) X) (CategoryTheory.NatTrans.app.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) (CategoryTheory.Idempotents.Karoubi.p.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) X) (CategoryTheory.NatTrans.app.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q) (CategoryTheory.Idempotents.Karoubi.Hom.f.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P Q f) X)) (CategoryTheory.CategoryStruct.comp.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P)) X) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q)) X) (Prefunctor.obj.{succ u2, succ u4, u1, u3} J (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} J (CategoryTheory.Category.toCategoryStruct.{u2, u1} J _inst_1)) C (CategoryTheory.CategoryStruct.toQuiver.{u4, u3} C (CategoryTheory.Category.toCategoryStruct.{u4, u3} C _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q)) X) (CategoryTheory.NatTrans.app.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P) (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q) (CategoryTheory.Idempotents.Karoubi.Hom.f.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) P Q f) X) (CategoryTheory.NatTrans.app.{u2, u4, u1, u3} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q) (CategoryTheory.Idempotents.Karoubi.X.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q) (CategoryTheory.Idempotents.Karoubi.p.{max (max (max u1 u3) u2) u4, max u1 u4} (CategoryTheory.Functor.{u2, u4, u1, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u4, u1, u3} J _inst_1 C _inst_2) Q) X))
 Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.app_p_comm CategoryTheory.Idempotents.app_p_commₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem app_p_comm : P.p.app X ≫ f.f.app X = f.f.app X ≫ Q.p.app X :=
   congr_app (p_comm f) X
 #align category_theory.idempotents.app_p_comm CategoryTheory.Idempotents.app_p_comm

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_categories
-! leanprover-community/mathlib commit 31019c2504b17f85af7e0577585fad996935a317
+! 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
 /-!
 # Idempotent completeness and functor categories
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we define an instance `functor_category_is_idempotent_complete` expressing
 that a functor category `J ⥤ C` is idempotent complete when the target category `C` is.

31019c25

bump to nightly-2023-04-06-18

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

2687d71c

Diff

@@ -37,6 +37,12 @@ namespace Idempotents
 
 variable {J C : Type _} [Category J] [Category C] (P Q : Karoubi (J ⥤ C)) (f : P ⟶ Q) (X : J)
 
+/- warning: category_theory.idempotents.app_idem -> CategoryTheory.Idempotents.app_idem is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.app_idem CategoryTheory.Idempotents.app_idemₓ'. -/
 @[simp, reassoc.1]
 theorem app_idem : P.p.app X ≫ P.p.app X = P.p.app X :=
   congr_app P.idem X
@@ -44,16 +50,34 @@ theorem app_idem : P.p.app X ≫ P.p.app X = P.p.app X :=
 
 variable {P Q}
 
+/- warning: category_theory.idempotents.app_p_comp -> CategoryTheory.Idempotents.app_p_comp is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.app_p_comp CategoryTheory.Idempotents.app_p_compₓ'. -/
 @[simp, reassoc.1]
 theorem app_p_comp : P.p.app X ≫ f.f.app X = f.f.app X :=
   congr_app (p_comp f) X
 #align category_theory.idempotents.app_p_comp CategoryTheory.Idempotents.app_p_comp
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.app_comp_p CategoryTheory.Idempotents.app_comp_pₓ'. -/
 @[simp, reassoc.1]
 theorem app_comp_p : f.f.app X ≫ Q.p.app X = f.f.app X :=
   congr_app (comp_p f) X
 #align category_theory.idempotents.app_comp_p CategoryTheory.Idempotents.app_comp_p
 
+/- warning: category_theory.idempotents.app_p_comm -> CategoryTheory.Idempotents.app_p_comm is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.app_p_comm CategoryTheory.Idempotents.app_p_commₓ'. -/
 @[reassoc.1]
 theorem app_p_comm : P.p.app X ≫ f.f.app X = f.f.app X ≫ Q.p.app X :=
   congr_app (p_comm f) X
@@ -61,6 +85,7 @@ theorem app_p_comm : P.p.app X ≫ f.f.app X = f.f.app X ≫ Q.p.app X :=
 
 variable (J C)
 
+#print CategoryTheory.Idempotents.functor_category_isIdempotentComplete /-
 instance functor_category_isIdempotentComplete [IsIdempotentComplete C] :
     IsIdempotentComplete (J ⥤ C) := by
   refine' ⟨_⟩
@@ -99,11 +124,18 @@ instance functor_category_isIdempotentComplete [IsIdempotentComplete C] :
       equalizer.condition, comp_id]
   · simp only [nat_trans.comp_app, equalizer.lift_ι]
 #align category_theory.idempotents.functor_category_is_idempotent_complete CategoryTheory.Idempotents.functor_category_isIdempotentComplete
+-/
 
 namespace KaroubiFunctorCategoryEmbedding
 
 variable {J C}
 
+/- warning: category_theory.idempotents.karoubi_functor_category_embedding.obj -> CategoryTheory.Idempotents.KaroubiFunctorCategoryEmbedding.obj is a dubious translation:
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+but is expected to have type
+  forall {J : Type.{u1}} {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u3, u1} J] [_inst_2 : CategoryTheory.Category.{u4, u2} C], (CategoryTheory.Idempotents.Karoubi.{max (max (max u2 u1) u4) u3, max u1 u4} (CategoryTheory.Functor.{u3, u4, u1, u2} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u3, u4, u1, u2} J _inst_1 C _inst_2)) -> (CategoryTheory.Functor.{u3, u4, u1, max u4 u2} J _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u4} C _inst_2))
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_functor_category_embedding.obj CategoryTheory.Idempotents.KaroubiFunctorCategoryEmbedding.objₓ'. -/
 /-- On objects, the functor which sends a formal direct factor `P` of a
 functor `F : J ⥤ C` to the functor `J ⥤ karoubi C` which sends `(j : J)` to
 the corresponding direct factor of `F.obj j`. -/
@@ -120,6 +152,12 @@ def obj (P : Karoubi (J ⥤ C)) : J ⥤ Karoubi C
         slice_rhs 1 3 => erw [h, h] }
 #align category_theory.idempotents.karoubi_functor_category_embedding.obj CategoryTheory.Idempotents.KaroubiFunctorCategoryEmbedding.obj
 
+/- warning: category_theory.idempotents.karoubi_functor_category_embedding.map -> CategoryTheory.Idempotents.KaroubiFunctorCategoryEmbedding.map is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_functor_category_embedding.map CategoryTheory.Idempotents.KaroubiFunctorCategoryEmbedding.mapₓ'. -/
 /-- Tautological action on maps of the functor `karoubi (J ⥤ C) ⥤ (J ⥤ karoubi C)`. -/
 @[simps]
 def map {P Q : Karoubi (J ⥤ C)} (f : P ⟶ Q) : obj P ⟶ obj Q
@@ -130,6 +168,12 @@ end KaroubiFunctorCategoryEmbedding
 
 variable (J C)
 
+/- warning: category_theory.idempotents.karoubi_functor_category_embedding -> CategoryTheory.Idempotents.karoubiFunctorCategoryEmbedding is a dubious translation:
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+  forall (J : Type.{u1}) (C : Type.{u2}) [_inst_1 : CategoryTheory.Category.{u3, u1} J] [_inst_2 : CategoryTheory.Category.{u4, u2} C], CategoryTheory.Functor.{max u1 u4, max u1 u4, max (max u3 u4 u1 u2) u1 u4, max u3 u4 u1 u2 u4} (CategoryTheory.Idempotents.Karoubi.{max u3 u4 u1 u2, max u1 u4} (CategoryTheory.Functor.{u3, u4, u1, u2} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u3, u4, u1, u2} J _inst_1 C _inst_2)) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u3 u4 u1 u2, max u1 u4} (CategoryTheory.Functor.{u3, u4, u1, u2} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u3, u4, u1, u2} J _inst_1 C _inst_2)) (CategoryTheory.Functor.{u3, u4, u1, max u2 u4} J _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} C _inst_2)) (CategoryTheory.Functor.category.{u3, u4, u1, max u2 u4} J _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} C _inst_2))
+but is expected to have type
+  forall (J : Type.{u1}) (C : Type.{u2}) [_inst_1 : CategoryTheory.Category.{u3, u1} J] [_inst_2 : CategoryTheory.Category.{u4, u2} C], CategoryTheory.Functor.{max u1 u4, max u1 u4, max (max u1 u4) (max (max u2 u1) u4) u3, max (max (max (max u4 u2) u1) u4) u3} (CategoryTheory.Idempotents.Karoubi.{max (max (max u2 u1) u4) u3, max u1 u4} (CategoryTheory.Functor.{u3, u4, u1, u2} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u3, u4, u1, u2} J _inst_1 C _inst_2)) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{max (max (max u1 u2) u3) u4, max u1 u4} (CategoryTheory.Functor.{u3, u4, u1, u2} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u3, u4, u1, u2} J _inst_1 C _inst_2)) (CategoryTheory.Functor.{u3, u4, u1, max u4 u2} J _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u4} C _inst_2)) (CategoryTheory.Functor.category.{u3, u4, u1, max u2 u4} J _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u2, u4} C _inst_2))
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.karoubi_functor_category_embedding CategoryTheory.Idempotents.karoubiFunctorCategoryEmbeddingₓ'. -/
 /-- The tautological fully faithful functor `karoubi (J ⥤ C) ⥤ (J ⥤ karoubi C)`. -/
 @[simps]
 def karoubiFunctorCategoryEmbedding : Karoubi (J ⥤ C) ⥤ J ⥤ Karoubi C
@@ -161,6 +205,12 @@ instance : Faithful (karoubiFunctorCategoryEmbedding J C)
     ext j
     exact hom_ext.mp (congr_app h j)
 
+/- warning: category_theory.idempotents.to_karoubi_comp_karoubi_functor_category_embedding -> CategoryTheory.Idempotents.toKaroubi_comp_karoubiFunctorCategoryEmbedding is a dubious translation:
+lean 3 declaration is
+  forall (J : Type.{u1}) (C : Type.{u2}) [_inst_1 : CategoryTheory.Category.{u3, u1} J] [_inst_2 : CategoryTheory.Category.{u4, u2} C], Eq.{succ (max (max u1 u4) (max u3 u4 u1 u2) u3 u4 u1 u2 u4)} (CategoryTheory.Functor.{max u1 u4, max u1 u4, max u3 u4 u1 u2, max u3 u4 u1 u2 u4} (CategoryTheory.Functor.{u3, u4, u1, u2} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u3, u4, u1, u2} J _inst_1 C _inst_2) (CategoryTheory.Functor.{u3, u4, u1, max u2 u4} J _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} C _inst_2)) (CategoryTheory.Functor.category.{u3, u4, u1, max u2 u4} J _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} C _inst_2))) (CategoryTheory.Functor.comp.{max u1 u4, max u1 u4, max u1 u4, max u3 u4 u1 u2, max (max u3 u4 u1 u2) u1 u4, max u3 u4 u1 u2 u4} (CategoryTheory.Functor.{u3, u4, u1, u2} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u3, u4, u1, u2} J _inst_1 C _inst_2) (CategoryTheory.Idempotents.Karoubi.{max u3 u4 u1 u2, max u1 u4} (CategoryTheory.Functor.{u3, u4, u1, u2} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u3, u4, u1, u2} J _inst_1 C _inst_2)) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{max u3 u4 u1 u2, max u1 u4} (CategoryTheory.Functor.{u3, u4, u1, u2} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u3, u4, u1, u2} J _inst_1 C _inst_2)) (CategoryTheory.Functor.{u3, u4, u1, max u2 u4} J _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} C _inst_2)) (CategoryTheory.Functor.category.{u3, u4, u1, max u2 u4} J _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} C _inst_2)) (CategoryTheory.Idempotents.toKaroubi.{max u3 u4 u1 u2, max u1 u4} (CategoryTheory.Functor.{u3, u4, u1, u2} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u3, u4, u1, u2} J _inst_1 C _inst_2)) (CategoryTheory.Idempotents.karoubiFunctorCategoryEmbedding.{u1, u2, u3, u4} J C _inst_1 _inst_2)) (CategoryTheory.Functor.obj.{max u2 u4, max (max u3 u4 u1 u2) u1 u4, max u2 u4, max (max u1 u4) (max u3 u4 u1 u2) u3 u4 u1 u2 u4} (CategoryTheory.Functor.{u4, u4, u2, max u2 u4} C _inst_2 (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} C _inst_2)) (CategoryTheory.Functor.category.{u4, u4, u2, max u2 u4} C _inst_2 (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} C _inst_2)) (CategoryTheory.Functor.{max u1 u4, max u1 u4, max u3 u4 u1 u2, max u3 u4 u1 u2 u4} (CategoryTheory.Functor.{u3, u4, u1, u2} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u3, u4, u1, u2} J _inst_1 C _inst_2) (CategoryTheory.Functor.{u3, u4, u1, max u2 u4} J _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} C _inst_2)) (CategoryTheory.Functor.category.{u3, u4, u1, max u2 u4} J _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} C _inst_2))) (CategoryTheory.Functor.category.{max u1 u4, max u1 u4, max u3 u4 u1 u2, max u3 u4 u1 u2 u4} (CategoryTheory.Functor.{u3, u4, u1, u2} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u3, u4, u1, u2} J _inst_1 C _inst_2) (CategoryTheory.Functor.{u3, u4, u1, max u2 u4} J _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} C _inst_2)) (CategoryTheory.Functor.category.{u3, u4, u1, max u2 u4} J _inst_1 (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} C _inst_2))) (CategoryTheory.whiskeringRight.{u1, u3, u2, u4, max u2 u4, u4} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.{u2, u4} C _inst_2) (CategoryTheory.Idempotents.Karoubi.CategoryTheory.category.{u2, u4} C _inst_2)) (CategoryTheory.Idempotents.toKaroubi.{u2, u4} C _inst_2))
+but is expected to have type
+  forall (J : Type.{u4}) (C : Type.{u3}) [_inst_1 : CategoryTheory.Category.{u2, u4} J] [_inst_2 : CategoryTheory.Category.{u1, u3} C], 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, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u1, u4, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.{u2, u1, u4, max u1 u3} J _inst_1 (CategoryTheory.Idempotents.Karoubi.{u3, u1} C _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u3, u1} C _inst_2)) (CategoryTheory.Functor.category.{u2, u1, u4, max u3 u1} J _inst_1 (CategoryTheory.Idempotents.Karoubi.{u3, u1} C _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u3, u1} C _inst_2))) (CategoryTheory.Functor.comp.{max u4 u1, max u4 u1, max u4 u1, max (max (max u4 u3) u2) u1, max (max u4 u1) (max (max u4 u3) u2) u1, max (max (max u4 u3) u2) u1} 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(CategoryTheory.Idempotents.toKaroubi.{max (max (max u4 u3) u2) u1, max u4 u1} (CategoryTheory.Functor.{u2, u1, u4, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u1, u4, u3} J _inst_1 C _inst_2)) (CategoryTheory.Idempotents.karoubiFunctorCategoryEmbedding.{u4, u3, u2, u1} J C _inst_1 _inst_2)) (Prefunctor.obj.{max (succ u1) (succ u3), max (max (max (succ u4) (succ u2)) (succ u1)) (succ u3), max u3 u1, max (max (max (max (max u4 u2) u1) u3 u1) u1) u3} (CategoryTheory.Functor.{u1, u1, u3, max u3 u1} C _inst_2 (CategoryTheory.Idempotents.Karoubi.{u3, u1} C _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u3, u1} C _inst_2)) (CategoryTheory.CategoryStruct.toQuiver.{max u1 u3, max u3 u1} (CategoryTheory.Functor.{u1, u1, u3, max u3 u1} C _inst_2 (CategoryTheory.Idempotents.Karoubi.{u3, u1} C _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u3, u1} C _inst_2)) (CategoryTheory.Category.toCategoryStruct.{max u1 u3, max u3 u1} (CategoryTheory.Functor.{u1, u1, u3, max u3 u1} C _inst_2 (CategoryTheory.Idempotents.Karoubi.{u3, u1} C _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u3, u1} C _inst_2)) (CategoryTheory.Functor.category.{u1, u1, u3, max u3 u1} C _inst_2 (CategoryTheory.Idempotents.Karoubi.{u3, u1} C _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u3, u1} C _inst_2)))) (CategoryTheory.Functor.{max u4 u1, max u4 u1, max (max (max u3 u4) u1) u2, max (max (max (max u3 u1) u4) u1) u2} (CategoryTheory.Functor.{u2, u1, u4, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.category.{u2, u1, u4, u3} J _inst_1 C _inst_2) (CategoryTheory.Functor.{u2, u1, u4, max u3 u1} J _inst_1 (CategoryTheory.Idempotents.Karoubi.{u3, u1} C _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u3, u1} C _inst_2)) (CategoryTheory.Functor.category.{u2, u1, u4, max u3 u1} J _inst_1 (CategoryTheory.Idempotents.Karoubi.{u3, u1} C _inst_2) 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(CategoryTheory.Idempotents.Karoubi.{u3, u1} C _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u3, u1} C _inst_2))) (CategoryTheory.whiskeringRight.{u4, u2, u3, u1, max u3 u1, u1} J _inst_1 C _inst_2 (CategoryTheory.Idempotents.Karoubi.{u3, u1} C _inst_2) (CategoryTheory.Idempotents.Karoubi.instCategoryKaroubi.{u3, u1} C _inst_2))) (CategoryTheory.Idempotents.toKaroubi.{u3, u1} C _inst_2))
+Case conversion may be inaccurate. Consider using '#align category_theory.idempotents.to_karoubi_comp_karoubi_functor_category_embedding CategoryTheory.Idempotents.toKaroubi_comp_karoubiFunctorCategoryEmbeddingₓ'. -/
 /-- The composition of `(J ⥤ C) ⥤ karoubi (J ⥤ C)` and `karoubi (J ⥤ C) ⥤ (J ⥤ karoubi C)`
 equals the functor `(J ⥤ C) ⥤ (J ⥤ karoubi C)` given by the composition with
 `to_karoubi C : C ⥤ karoubi C`. -/

31019c25

bump to nightly-2023-02-28-22

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

1fb1623f

Diff

@@ -110,9 +110,9 @@ the corresponding direct factor of `F.obj j`. -/
 @[simps]
 def obj (P : Karoubi (J ⥤ C)) : J ⥤ Karoubi C
     where
-  obj j := ⟨P.x.obj j, P.p.app j, congr_app P.idem j⟩
+  obj j := ⟨P.pt.obj j, P.p.app j, congr_app P.idem j⟩
   map j j' φ :=
-    { f := P.p.app j ≫ P.x.map φ
+    { f := P.p.app j ≫ P.pt.map φ
       comm := by
         simp only [nat_trans.naturality, assoc]
         have h := congr_app P.idem j

31019c25

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

31019c25

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

@@ -119,8 +119,8 @@ def karoubiFunctorCategoryEmbedding : Karoubi (J ⥤ C) ⥤ J ⥤ Karoubi C wher
 #align category_theory.idempotents.karoubi_functor_category_embedding CategoryTheory.Idempotents.karoubiFunctorCategoryEmbedding
 
 instance : (karoubiFunctorCategoryEmbedding J C).Full where
-  preimage {P Q} f :=
-    { f :=
+  map_surjective {P Q} f :=
+   ⟨{ f :=
         { app := fun j => (f.app j).f
           naturality := fun j j' φ => by
             rw [← Karoubi.comp_p_assoc]
@@ -130,8 +130,7 @@ instance : (karoubiFunctorCategoryEmbedding J C).Full where
             erw [← h, assoc, ← P.p.naturality_assoc φ, p_comp (f.app j')] }
       comm := by
         ext j
-        exact (f.app j).comm }
-  witness f := rfl
+        exact (f.app j).comm }, rfl⟩
 
 instance : (karoubiFunctorCategoryEmbedding J C).Faithful where
   map_injective h := by

31019c25

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

@@ -118,7 +118,7 @@ def karoubiFunctorCategoryEmbedding : Karoubi (J ⥤ C) ⥤ J ⥤ Karoubi C wher
   map := KaroubiFunctorCategoryEmbedding.map
 #align category_theory.idempotents.karoubi_functor_category_embedding CategoryTheory.Idempotents.karoubiFunctorCategoryEmbedding
 
-instance : Full (karoubiFunctorCategoryEmbedding J C) where
+instance : (karoubiFunctorCategoryEmbedding J C).Full where
   preimage {P Q} f :=
     { f :=
         { app := fun j => (f.app j).f
@@ -133,7 +133,7 @@ instance : Full (karoubiFunctorCategoryEmbedding J C) where
         exact (f.app j).comm }
   witness f := rfl
 
-instance : Faithful (karoubiFunctorCategoryEmbedding J C) where
+instance : (karoubiFunctorCategoryEmbedding J C).Faithful where
   map_injective h := by
     ext j
     exact hom_ext_iff.mp (congr_app h j)

31019c25

chore: bump toolchain to v4.3.0-rc1 (#8051)

This incorporates changes from

#7845
#7847
#7853
#7872 (was never actually made to work, but the diffs in nightly-testing are unexciting: we need to fully qualify a few names)

They can all be closed when this is merged.

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

1ff3bf34

Diff

@@ -80,7 +80,6 @@ instance functor_category_isIdempotentComplete [IsIdempotentComplete C] :
   use Y, i, e
   constructor
   · ext j
-    apply equalizer.hom_ext
     dsimp
     rw [assoc, equalizer.lift_ι, ← equalizer.condition, id_comp, comp_id]
   · ext j

31019c25

style: fix wrapping of where (#7149)

084cfb35

Diff

@@ -106,8 +106,8 @@ def obj (P : Karoubi (J ⥤ C)) : J ⥤ Karoubi C where
 
 /-- Tautological action on maps of the functor `Karoubi (J ⥤ C) ⥤ (J ⥤ Karoubi C)`. -/
 @[simps]
-def map {P Q : Karoubi (J ⥤ C)} (f : P ⟶ Q) : obj P ⟶ obj Q
-    where app j := ⟨f.f.app j, congr_app f.comm j⟩
+def map {P Q : Karoubi (J ⥤ C)} (f : P ⟶ Q) : obj P ⟶ obj Q where
+  app j := ⟨f.f.app j, congr_app f.comm j⟩
 #align category_theory.idempotents.karoubi_functor_category_embedding.map CategoryTheory.Idempotents.KaroubiFunctorCategoryEmbedding.map
 
 end KaroubiFunctorCategoryEmbedding

31019c25

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

@@ -32,7 +32,7 @@ namespace CategoryTheory
 
 namespace Idempotents
 
-variable {J C : Type _} [Category J] [Category C] (P Q : Karoubi (J ⥤ C)) (f : P ⟶ Q) (X : J)
+variable {J C : Type*} [Category J] [Category C] (P Q : Karoubi (J ⥤ C)) (f : P ⟶ Q) (X : J)
 
 @[reassoc (attr := simp)]
 theorem app_idem : P.p.app X ≫ P.p.app X = P.p.app X :=

31019c25

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_categories
-! leanprover-community/mathlib commit 31019c2504b17f85af7e0577585fad996935a317
-! 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_categories from "leanprover-community/mathlib"@"31019c2504b17f85af7e0577585fad996935a317"
+
 /-!
 # Idempotent completeness and functor categories

31019c25

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

@@ -82,11 +82,11 @@ instance functor_category_isIdempotentComplete [IsIdempotentComplete C] :
       naturality := fun j j' φ => equalizer.hom_ext (by simp) }
   use Y, i, e
   constructor
-  . ext j
+  · ext j
     apply equalizer.hom_ext
     dsimp
     rw [assoc, equalizer.lift_ι, ← equalizer.condition, id_comp, comp_id]
-  . ext j
+  · ext j
     simp
 namespace KaroubiFunctorCategoryEmbedding

31019c25

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

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

dbae2f17

Diff

@@ -72,9 +72,7 @@ instance functor_category_isIdempotentComplete [IsIdempotentComplete C] :
     { obj := fun j => Limits.equalizer (𝟙 _) (p.app j)
       map := fun {j j'} φ =>
         equalizer.lift (Limits.equalizer.ι (𝟙 _) (p.app j) ≫ F.map φ)
-          (by rw [comp_id, assoc, p.naturality φ, ← assoc, ← Limits.equalizer.condition, comp_id])
-      map_id := fun _ => equalizer.hom_ext (by simp)
-      map_comp := fun _ _ => equalizer.hom_ext (by simp) }
+          (by rw [comp_id, assoc, p.naturality φ, ← assoc, ← Limits.equalizer.condition, comp_id]) }
   let i : Y ⟶ F :=
     { app := fun j => equalizer.ι _ _
       naturality := fun _ _ _ => by rw [equalizer.lift_ι] }

31019c25

feat: port CategoryTheory.Idempotents.FunctorCategories (#3301)

Co-authored-by: Chris Hughes <chrishughes24@gmail.com> Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>

8f5e0418

`category_theory.idempotents.functor_categories` ⟷ `Mathlib.CategoryTheory.Idempotents.FunctorCategories`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 3 + 316

category_theory.idempotents.functor_categories ⟷ Mathlib.CategoryTheory.Idempotents.FunctorCategories

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 3 + 316

`category_theory.idempotents.functor_categories` ⟷ `Mathlib.CategoryTheory.Idempotents.FunctorCategories`