category_theory.functor.category | Mathlib porting status

(last sync)

feat(algebraic_topology/dold_kan): The Dold-Kan equivalence for pseudoabelian categories (#17925)

Diff

@@ -60,6 +60,9 @@ lemma congr_app {α β : F ⟶ G} (h : α = β) (X : C) : α.app X = β.app X :=
 @[simp] lemma id_app (F : C ⥤ D) (X : C) : (𝟙 F : F ⟶ F).app X = 𝟙 (F.obj X) := rfl
 @[simp] lemma comp_app {F G H : C ⥤ D} (α : F ⟶ G) (β : G ⟶ H) (X : C) :
   (α ≫ β).app X = α.app X ≫ β.app X := rfl
+lemma comp_app_assoc {F G H : C ⥤ D} (α : F ⟶ G) (β : G ⟶ H) (X : C) {X' : D}
+  (f : H.obj X ⟶ X') :
+  (α ≫ β).app X ≫ f = α.app X ≫ β.app X ≫ f := by rw [comp_app, assoc]
 
 lemma app_naturality {F G : C ⥤ (D ⥤ E)} (T : F ⟶ G) (X : C) {Y Z : D} (f : Y ⟶ Z) :
   ((F.obj X).map f) ≫ ((T.app X).app Z) = ((T.app X).app Y) ≫ ((G.obj X).map f) :=

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

bump to nightly-2024-04-06-08

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

e34029c9

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2017 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
 -/
-import CategoryTheory.NaturalTransformation
-import CategoryTheory.Isomorphism
+import CategoryTheory.NatTrans
+import CategoryTheory.Iso
 
 #align_import category_theory.functor.category from "leanprover-community/mathlib"@"63721b2c3eba6c325ecf8ae8cca27155a4f6306f"

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2017 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
 -/
-import Mathbin.CategoryTheory.NaturalTransformation
-import Mathbin.CategoryTheory.Isomorphism
+import CategoryTheory.NaturalTransformation
+import CategoryTheory.Isomorphism
 
 #align_import category_theory.functor.category from "leanprover-community/mathlib"@"63721b2c3eba6c325ecf8ae8cca27155a4f6306f"

bump to nightly-2023-08-07-11

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

d9d9267a

Diff

@@ -92,9 +92,11 @@ theorem comp_app {F G H : C ⥤ D} (α : F ⟶ G) (β : G ⟶ H) (X : C) :
 #align category_theory.nat_trans.comp_app CategoryTheory.NatTrans.comp_app
 -/
 
+#print CategoryTheory.NatTrans.comp_app_assoc /-
 theorem comp_app_assoc {F G H : C ⥤ D} (α : F ⟶ G) (β : G ⟶ H) (X : C) {X' : D} (f : H.obj X ⟶ X') :
     (α ≫ β).app X ≫ f = α.app X ≫ β.app X ≫ f := by rw [comp_app, assoc]
 #align category_theory.nat_trans.comp_app_assoc CategoryTheory.NatTrans.comp_app_assoc
+-/
 
 #print CategoryTheory.NatTrans.app_naturality /-
 theorem app_naturality {F G : C ⥤ D ⥤ E} (T : F ⟶ G) (X : C) {Y Z : D} (f : Y ⟶ Z) :

bump to nightly-2023-08-02-01

mathlib commit https://github.com/leanprover-community/mathlib/commit/63721b2c3eba6c325ecf8ae8cca27155a4f6306f

7aca3f15

Diff

@@ -6,7 +6,7 @@ Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
 import Mathbin.CategoryTheory.NaturalTransformation
 import Mathbin.CategoryTheory.Isomorphism
 
-#align_import category_theory.functor.category from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
+#align_import category_theory.functor.category from "leanprover-community/mathlib"@"63721b2c3eba6c325ecf8ae8cca27155a4f6306f"
 
 /-!
 # The category of functors and natural transformations between two fixed categories.
@@ -92,6 +92,10 @@ theorem comp_app {F G H : C ⥤ D} (α : F ⟶ G) (β : G ⟶ H) (X : C) :
 #align category_theory.nat_trans.comp_app CategoryTheory.NatTrans.comp_app
 -/
 
+theorem comp_app_assoc {F G H : C ⥤ D} (α : F ⟶ G) (β : G ⟶ H) (X : C) {X' : D} (f : H.obj X ⟶ X') :
+    (α ≫ β).app X ≫ f = α.app X ≫ β.app X ≫ f := by rw [comp_app, assoc]
+#align category_theory.nat_trans.comp_app_assoc CategoryTheory.NatTrans.comp_app_assoc
+
 #print CategoryTheory.NatTrans.app_naturality /-
 theorem app_naturality {F G : C ⥤ D ⥤ E} (T : F ⟶ G) (X : C) {Y Z : D} (f : Y ⟶ Z) :
     (F.obj X).map f ≫ (T.app X).app Z = (T.app X).app Y ≫ (G.obj X).map f :=

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2017 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
-
-! This file was ported from Lean 3 source module category_theory.functor.category
-! leanprover-community/mathlib commit 448144f7ae193a8990cb7473c9e9a01990f64ac7
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.NaturalTransformation
 import Mathbin.CategoryTheory.Isomorphism
 
+#align_import category_theory.functor.category from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
+
 /-!
 # The category of functors and natural transformations between two fixed categories.

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -69,43 +69,59 @@ theorem vcomp_eq_comp (α : F ⟶ G) (β : G ⟶ H) : vcomp α β = α ≫ β :=
 #align category_theory.nat_trans.vcomp_eq_comp CategoryTheory.NatTrans.vcomp_eq_comp
 -/
 
+#print CategoryTheory.NatTrans.vcomp_app' /-
 theorem vcomp_app' (α : F ⟶ G) (β : G ⟶ H) (X : C) : (α ≫ β).app X = α.app X ≫ β.app X :=
   rfl
 #align category_theory.nat_trans.vcomp_app' CategoryTheory.NatTrans.vcomp_app'
+-/
 
+#print CategoryTheory.NatTrans.congr_app /-
 theorem congr_app {α β : F ⟶ G} (h : α = β) (X : C) : α.app X = β.app X := by rw [h]
 #align category_theory.nat_trans.congr_app CategoryTheory.NatTrans.congr_app
+-/
 
+#print CategoryTheory.NatTrans.id_app /-
 @[simp]
 theorem id_app (F : C ⥤ D) (X : C) : (𝟙 F : F ⟶ F).app X = 𝟙 (F.obj X) :=
   rfl
 #align category_theory.nat_trans.id_app CategoryTheory.NatTrans.id_app
+-/
 
+#print CategoryTheory.NatTrans.comp_app /-
 @[simp]
 theorem comp_app {F G H : C ⥤ D} (α : F ⟶ G) (β : G ⟶ H) (X : C) :
     (α ≫ β).app X = α.app X ≫ β.app X :=
   rfl
 #align category_theory.nat_trans.comp_app CategoryTheory.NatTrans.comp_app
+-/
 
+#print CategoryTheory.NatTrans.app_naturality /-
 theorem app_naturality {F G : C ⥤ D ⥤ E} (T : F ⟶ G) (X : C) {Y Z : D} (f : Y ⟶ Z) :
     (F.obj X).map f ≫ (T.app X).app Z = (T.app X).app Y ≫ (G.obj X).map f :=
   (T.app X).naturality f
 #align category_theory.nat_trans.app_naturality CategoryTheory.NatTrans.app_naturality
+-/
 
+#print CategoryTheory.NatTrans.naturality_app /-
 theorem naturality_app {F G : C ⥤ D ⥤ E} (T : F ⟶ G) (Z : D) {X Y : C} (f : X ⟶ Y) :
     (F.map f).app Z ≫ (T.app Y).app Z = (T.app X).app Z ≫ (G.map f).app Z :=
   congr_fun (congr_arg app (T.naturality f)) Z
 #align category_theory.nat_trans.naturality_app CategoryTheory.NatTrans.naturality_app
+-/
 
+#print CategoryTheory.NatTrans.mono_of_mono_app /-
 /-- A natural transformation is a monomorphism if each component is. -/
 theorem mono_of_mono_app (α : F ⟶ G) [∀ X : C, Mono (α.app X)] : Mono α :=
   ⟨fun H g h eq => by ext X; rw [← cancel_mono (α.app X), ← comp_app, Eq, comp_app]⟩
 #align category_theory.nat_trans.mono_of_mono_app CategoryTheory.NatTrans.mono_of_mono_app
+-/
 
+#print CategoryTheory.NatTrans.epi_of_epi_app /-
 /-- A natural transformation is an epimorphism if each component is. -/
 theorem epi_of_epi_app (α : F ⟶ G) [∀ X : C, Epi (α.app X)] : Epi α :=
   ⟨fun H g h eq => by ext X; rw [← cancel_epi (α.app X), ← comp_app, Eq, comp_app]⟩
 #align category_theory.nat_trans.epi_of_epi_app CategoryTheory.NatTrans.epi_of_epi_app
+-/
 
 #print CategoryTheory.NatTrans.hcomp /-
 /-- `hcomp α β` is the horizontal composition of natural transformations. -/
@@ -119,17 +135,20 @@ def hcomp {H I : D ⥤ E} (α : F ⟶ G) (β : H ⟶ I) : F ⋙ H ⟶ G ⋙ I
 #align category_theory.nat_trans.hcomp CategoryTheory.NatTrans.hcomp
 -/
 
--- mathport name: «expr ◫ »
 infixl:80 " ◫ " => hcomp
 
+#print CategoryTheory.NatTrans.hcomp_id_app /-
 @[simp]
 theorem hcomp_id_app {H : D ⥤ E} (α : F ⟶ G) (X : C) : (α ◫ 𝟙 H).app X = H.map (α.app X) := by
   dsimp; simp
 #align category_theory.nat_trans.hcomp_id_app CategoryTheory.NatTrans.hcomp_id_app
+-/
 
+#print CategoryTheory.NatTrans.id_hcomp_app /-
 -- See note [dsimp, simp].
 theorem id_hcomp_app {H : E ⥤ C} (α : F ⟶ G) (X : E) : (𝟙 H ◫ α).app X = α.app _ := by simp
 #align category_theory.nat_trans.id_hcomp_app CategoryTheory.NatTrans.id_hcomp_app
+-/
 
 #print CategoryTheory.NatTrans.exchange /-
 -- Note that we don't yet prove a `hcomp_assoc` lemma here: even stating it is painful, because we
@@ -163,17 +182,21 @@ protected def flip (F : C ⥤ D ⥤ E) : D ⥤ C ⥤ E
 
 end Functor
 
+#print CategoryTheory.map_hom_inv_app /-
 @[simp, reassoc]
 theorem map_hom_inv_app (F : C ⥤ D ⥤ E) {X Y : C} (e : X ≅ Y) (Z : D) :
     (F.map e.Hom).app Z ≫ (F.map e.inv).app Z = 𝟙 _ := by
   simp [← nat_trans.comp_app, ← functor.map_comp]
 #align category_theory.map_hom_inv_app CategoryTheory.map_hom_inv_app
+-/
 
+#print CategoryTheory.map_inv_hom_app /-
 @[simp, reassoc]
 theorem map_inv_hom_app (F : C ⥤ D ⥤ E) {X Y : C} (e : X ≅ Y) (Z : D) :
     (F.map e.inv).app Z ≫ (F.map e.Hom).app Z = 𝟙 _ := by
   simp [← nat_trans.comp_app, ← functor.map_comp]
 #align category_theory.map_inv_hom_app CategoryTheory.map_inv_hom_app
+-/
 
 end CategoryTheory

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -69,81 +69,39 @@ theorem vcomp_eq_comp (α : F ⟶ G) (β : G ⟶ H) : vcomp α β = α ≫ β :=
 #align category_theory.nat_trans.vcomp_eq_comp CategoryTheory.NatTrans.vcomp_eq_comp
 -/
 
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 theorem vcomp_app' (α : F ⟶ G) (β : G ⟶ H) (X : C) : (α ≫ β).app X = α.app X ≫ β.app X :=
   rfl
 #align category_theory.nat_trans.vcomp_app' CategoryTheory.NatTrans.vcomp_app'
 
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 theorem congr_app {α β : F ⟶ G} (h : α = β) (X : C) : α.app X = β.app X := by rw [h]
 #align category_theory.nat_trans.congr_app CategoryTheory.NatTrans.congr_app
 
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 @[simp]
 theorem id_app (F : C ⥤ D) (X : C) : (𝟙 F : F ⟶ F).app X = 𝟙 (F.obj X) :=
   rfl
 #align category_theory.nat_trans.id_app CategoryTheory.NatTrans.id_app
 
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 @[simp]
 theorem comp_app {F G H : C ⥤ D} (α : F ⟶ G) (β : G ⟶ H) (X : C) :
     (α ≫ β).app X = α.app X ≫ β.app X :=
   rfl
 #align category_theory.nat_trans.comp_app CategoryTheory.NatTrans.comp_app
 
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 theorem app_naturality {F G : C ⥤ D ⥤ E} (T : F ⟶ G) (X : C) {Y Z : D} (f : Y ⟶ Z) :
     (F.obj X).map f ≫ (T.app X).app Z = (T.app X).app Y ≫ (G.obj X).map f :=
   (T.app X).naturality f
 #align category_theory.nat_trans.app_naturality CategoryTheory.NatTrans.app_naturality
 
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 theorem naturality_app {F G : C ⥤ D ⥤ E} (T : F ⟶ G) (Z : D) {X Y : C} (f : X ⟶ Y) :
     (F.map f).app Z ≫ (T.app Y).app Z = (T.app X).app Z ≫ (G.map f).app Z :=
   congr_fun (congr_arg app (T.naturality f)) Z
 #align category_theory.nat_trans.naturality_app CategoryTheory.NatTrans.naturality_app
 
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 /-- A natural transformation is a monomorphism if each component is. -/
 theorem mono_of_mono_app (α : F ⟶ G) [∀ X : C, Mono (α.app X)] : Mono α :=
   ⟨fun H g h eq => by ext X; rw [← cancel_mono (α.app X), ← comp_app, Eq, comp_app]⟩
 #align category_theory.nat_trans.mono_of_mono_app CategoryTheory.NatTrans.mono_of_mono_app
 
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 /-- A natural transformation is an epimorphism if each component is. -/
 theorem epi_of_epi_app (α : F ⟶ G) [∀ X : C, Epi (α.app X)] : Epi α :=
   ⟨fun H g h eq => by ext X; rw [← cancel_epi (α.app X), ← comp_app, Eq, comp_app]⟩
@@ -164,23 +122,11 @@ def hcomp {H I : D ⥤ E} (α : F ⟶ G) (β : H ⟶ I) : F ⋙ H ⟶ G ⋙ I
 -- mathport name: «expr ◫ »
 infixl:80 " ◫ " => hcomp
 
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 @[simp]
 theorem hcomp_id_app {H : D ⥤ E} (α : F ⟶ G) (X : C) : (α ◫ 𝟙 H).app X = H.map (α.app X) := by
   dsimp; simp
 #align category_theory.nat_trans.hcomp_id_app CategoryTheory.NatTrans.hcomp_id_app
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.nat_trans.id_hcomp_app CategoryTheory.NatTrans.id_hcomp_appₓ'. -/
 -- See note [dsimp, simp].
 theorem id_hcomp_app {H : E ⥤ C} (α : F ⟶ G) (X : E) : (𝟙 H ◫ α).app X = α.app _ := by simp
 #align category_theory.nat_trans.id_hcomp_app CategoryTheory.NatTrans.id_hcomp_app
@@ -217,18 +163,12 @@ protected def flip (F : C ⥤ D ⥤ E) : D ⥤ C ⥤ E
 
 end Functor
 
-/- warning: category_theory.map_hom_inv_app -> CategoryTheory.map_hom_inv_app is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.map_hom_inv_app CategoryTheory.map_hom_inv_appₓ'. -/
 @[simp, reassoc]
 theorem map_hom_inv_app (F : C ⥤ D ⥤ E) {X Y : C} (e : X ≅ Y) (Z : D) :
     (F.map e.Hom).app Z ≫ (F.map e.inv).app Z = 𝟙 _ := by
   simp [← nat_trans.comp_app, ← functor.map_comp]
 #align category_theory.map_hom_inv_app CategoryTheory.map_hom_inv_app
 
-/- warning: category_theory.map_inv_hom_app -> CategoryTheory.map_inv_hom_app is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.map_inv_hom_app CategoryTheory.map_inv_hom_appₓ'. -/
 @[simp, reassoc]
 theorem map_inv_hom_app (F : C ⥤ D ⥤ E) {X Y : C} (e : X ≅ Y) (Z : D) :
     (F.map e.inv).app Z ≫ (F.map e.Hom).app Z = 𝟙 _ := by

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -135,9 +135,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align category_theory.nat_trans.mono_of_mono_app CategoryTheory.NatTrans.mono_of_mono_appₓ'. -/
 /-- A natural transformation is a monomorphism if each component is. -/
 theorem mono_of_mono_app (α : F ⟶ G) [∀ X : C, Mono (α.app X)] : Mono α :=
-  ⟨fun H g h eq => by
-    ext X
-    rw [← cancel_mono (α.app X), ← comp_app, Eq, comp_app]⟩
+  ⟨fun H g h eq => by ext X; rw [← cancel_mono (α.app X), ← comp_app, Eq, comp_app]⟩
 #align category_theory.nat_trans.mono_of_mono_app CategoryTheory.NatTrans.mono_of_mono_app
 
 /- warning: category_theory.nat_trans.epi_of_epi_app -> CategoryTheory.NatTrans.epi_of_epi_app is a dubious translation:
@@ -148,9 +146,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align category_theory.nat_trans.epi_of_epi_app CategoryTheory.NatTrans.epi_of_epi_appₓ'. -/
 /-- A natural transformation is an epimorphism if each component is. -/
 theorem epi_of_epi_app (α : F ⟶ G) [∀ X : C, Epi (α.app X)] : Epi α :=
-  ⟨fun H g h eq => by
-    ext X
-    rw [← cancel_epi (α.app X), ← comp_app, Eq, comp_app]⟩
+  ⟨fun H g h eq => by ext X; rw [← cancel_epi (α.app X), ← comp_app, Eq, comp_app]⟩
 #align category_theory.nat_trans.epi_of_epi_app CategoryTheory.NatTrans.epi_of_epi_app
 
 #print CategoryTheory.NatTrans.hcomp /-
@@ -175,10 +171,8 @@ but is expected to have type
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 Case conversion may be inaccurate. Consider using '#align category_theory.nat_trans.hcomp_id_app CategoryTheory.NatTrans.hcomp_id_appₓ'. -/
 @[simp]
-theorem hcomp_id_app {H : D ⥤ E} (α : F ⟶ G) (X : C) : (α ◫ 𝟙 H).app X = H.map (α.app X) :=
-  by
-  dsimp
-  simp
+theorem hcomp_id_app {H : D ⥤ E} (α : F ⟶ G) (X : C) : (α ◫ 𝟙 H).app X = H.map (α.app X) := by
+  dsimp; simp
 #align category_theory.nat_trans.hcomp_id_app CategoryTheory.NatTrans.hcomp_id_app
 
 /- warning: category_theory.nat_trans.id_hcomp_app -> CategoryTheory.NatTrans.id_hcomp_app is a dubious translation:

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -112,10 +112,7 @@ theorem comp_app {F G H : C ⥤ D} (α : F ⟶ G) (β : G ⟶ H) (X : C) :
 #align category_theory.nat_trans.comp_app CategoryTheory.NatTrans.comp_app
 
 /- warning: category_theory.nat_trans.app_naturality -> CategoryTheory.NatTrans.app_naturality is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.nat_trans.app_naturality CategoryTheory.NatTrans.app_naturalityₓ'. -/
 theorem app_naturality {F G : C ⥤ D ⥤ E} (T : F ⟶ G) (X : C) {Y Z : D} (f : Y ⟶ Z) :
     (F.obj X).map f ≫ (T.app X).app Z = (T.app X).app Y ≫ (G.obj X).map f :=
@@ -123,10 +120,7 @@ theorem app_naturality {F G : C ⥤ D ⥤ E} (T : F ⟶ G) (X : C) {Y Z : D} (f
 #align category_theory.nat_trans.app_naturality CategoryTheory.NatTrans.app_naturality
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.nat_trans.naturality_app CategoryTheory.NatTrans.naturality_appₓ'. -/
 theorem naturality_app {F G : C ⥤ D ⥤ E} (T : F ⟶ G) (Z : D) {X Y : C} (f : X ⟶ Y) :
     (F.map f).app Z ≫ (T.app Y).app Z = (T.app X).app Z ≫ (G.map f).app Z :=
@@ -230,10 +224,7 @@ protected def flip (F : C ⥤ D ⥤ E) : D ⥤ C ⥤ E
 end Functor
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.map_hom_inv_app CategoryTheory.map_hom_inv_appₓ'. -/
 @[simp, reassoc]
 theorem map_hom_inv_app (F : C ⥤ D ⥤ E) {X Y : C} (e : X ≅ Y) (Z : D) :
@@ -242,10 +233,7 @@ theorem map_hom_inv_app (F : C ⥤ D ⥤ E) {X Y : C} (e : X ≅ Y) (Z : D) :
 #align category_theory.map_hom_inv_app CategoryTheory.map_hom_inv_app
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.map_inv_hom_app CategoryTheory.map_inv_hom_appₓ'. -/
 @[simp, reassoc]
 theorem map_inv_hom_app (F : C ⥤ D ⥤ E) {X Y : C} (e : X ≅ Y) (Z : D) :

bump to nightly-2023-05-23-03

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

ed98987c

Diff

@@ -235,7 +235,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u1, u4} C] {D : Type.{u5}} [_inst_2 : CategoryTheory.Category.{u2, u5} D] {E : Type.{u6}} [_inst_3 : CategoryTheory.Category.{u3, u6} E] (F : CategoryTheory.Functor.{u1, max u5 u3, u4, max (max (max u6 u5) u3) u2} C _inst_1 (CategoryTheory.Functor.{u2, u3, u5, u6} D _inst_2 E _inst_3) (CategoryTheory.Functor.category.{u2, u3, u5, u6} D _inst_2 E _inst_3)) {X : C} {Y : C} (e : CategoryTheory.Iso.{u1, u4} C _inst_1 X Y) (Z : D), Eq.{succ u3} (Quiver.Hom.{succ u3, u6} E (CategoryTheory.CategoryStruct.toQuiver.{u3, u6} E (CategoryTheory.Category.toCategoryStruct.{u3, u6} E _inst_3)) (Prefunctor.obj.{succ u2, succ u3, u5, u6} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u5} D (CategoryTheory.Category.toCategoryStruct.{u2, u5} D _inst_2)) E (CategoryTheory.CategoryStruct.toQuiver.{u3, u6} E (CategoryTheory.Category.toCategoryStruct.{u3, u6} E _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u2, u3, u5, u6} D _inst_2 E _inst_3 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_inst_3) (CategoryTheory.CategoryStruct.toQuiver.{max u5 u3, max (max (max u5 u6) u2) u3} (CategoryTheory.Functor.{u2, u3, u5, u6} D _inst_2 E _inst_3) (CategoryTheory.Category.toCategoryStruct.{max u5 u3, max (max (max u5 u6) u2) u3} (CategoryTheory.Functor.{u2, u3, u5, u6} D _inst_2 E _inst_3) (CategoryTheory.Functor.category.{u2, u3, u5, u6} D _inst_2 E _inst_3))) (CategoryTheory.Functor.toPrefunctor.{u1, max u5 u3, u4, max (max (max u5 u6) u2) u3} C _inst_1 (CategoryTheory.Functor.{u2, u3, u5, u6} D _inst_2 E _inst_3) (CategoryTheory.Functor.category.{u2, u3, u5, u6} D _inst_2 E _inst_3) F) X)) Z))
 Case conversion may be inaccurate. Consider using '#align category_theory.map_hom_inv_app CategoryTheory.map_hom_inv_appₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem map_hom_inv_app (F : C ⥤ D ⥤ E) {X Y : C} (e : X ≅ Y) (Z : D) :
     (F.map e.Hom).app Z ≫ (F.map e.inv).app Z = 𝟙 _ := by
   simp [← nat_trans.comp_app, ← functor.map_comp]
@@ -247,7 +247,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u4}} [_inst_1 : CategoryTheory.Category.{u1, u4} C] {D : Type.{u5}} [_inst_2 : CategoryTheory.Category.{u2, u5} D] {E : Type.{u6}} [_inst_3 : CategoryTheory.Category.{u3, u6} E] (F : CategoryTheory.Functor.{u1, max u5 u3, u4, max (max (max u6 u5) u3) u2} C _inst_1 (CategoryTheory.Functor.{u2, u3, u5, u6} D _inst_2 E _inst_3) (CategoryTheory.Functor.category.{u2, u3, u5, u6} D _inst_2 E _inst_3)) {X : C} {Y : C} (e : CategoryTheory.Iso.{u1, u4} C _inst_1 X Y) (Z : D), Eq.{succ u3} (Quiver.Hom.{succ u3, u6} E (CategoryTheory.CategoryStruct.toQuiver.{u3, u6} E (CategoryTheory.Category.toCategoryStruct.{u3, u6} E _inst_3)) (Prefunctor.obj.{succ u2, succ u3, u5, u6} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u5} D (CategoryTheory.Category.toCategoryStruct.{u2, u5} D _inst_2)) E (CategoryTheory.CategoryStruct.toQuiver.{u3, u6} E (CategoryTheory.Category.toCategoryStruct.{u3, u6} E _inst_3)) (CategoryTheory.Functor.toPrefunctor.{u2, u3, u5, u6} D _inst_2 E _inst_3 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_inst_1)) (CategoryTheory.Functor.{u2, u3, u5, u6} D _inst_2 E _inst_3) (CategoryTheory.CategoryStruct.toQuiver.{max u5 u3, max (max (max u5 u6) u2) u3} (CategoryTheory.Functor.{u2, u3, u5, u6} D _inst_2 E _inst_3) (CategoryTheory.Category.toCategoryStruct.{max u5 u3, max (max (max u5 u6) u2) u3} (CategoryTheory.Functor.{u2, u3, u5, u6} D _inst_2 E _inst_3) (CategoryTheory.Functor.category.{u2, u3, u5, u6} D _inst_2 E _inst_3))) (CategoryTheory.Functor.toPrefunctor.{u1, max u5 u3, u4, max (max (max u5 u6) u2) u3} C _inst_1 (CategoryTheory.Functor.{u2, u3, u5, u6} D _inst_2 E _inst_3) (CategoryTheory.Functor.category.{u2, u3, u5, u6} D _inst_2 E _inst_3) F) X) (Prefunctor.map.{succ u1, max (succ u5) (succ u3), u4, max (max (max u5 u6) u2) u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u4} C (CategoryTheory.Category.toCategoryStruct.{u1, u4} C _inst_1)) (CategoryTheory.Functor.{u2, u3, u5, u6} D _inst_2 E _inst_3) (CategoryTheory.CategoryStruct.toQuiver.{max u5 u3, max (max (max u5 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_inst_3) (CategoryTheory.CategoryStruct.toQuiver.{max u5 u3, max (max (max u5 u6) u2) u3} (CategoryTheory.Functor.{u2, u3, u5, u6} D _inst_2 E _inst_3) (CategoryTheory.Category.toCategoryStruct.{max u5 u3, max (max (max u5 u6) u2) u3} (CategoryTheory.Functor.{u2, u3, u5, u6} D _inst_2 E _inst_3) (CategoryTheory.Functor.category.{u2, u3, u5, u6} D _inst_2 E _inst_3))) (CategoryTheory.Functor.toPrefunctor.{u1, max u5 u3, u4, max (max (max u5 u6) u2) u3} C _inst_1 (CategoryTheory.Functor.{u2, u3, u5, u6} D _inst_2 E _inst_3) (CategoryTheory.Functor.category.{u2, u3, u5, u6} D _inst_2 E _inst_3) F) Y)) Z))
 Case conversion may be inaccurate. Consider using '#align category_theory.map_inv_hom_app CategoryTheory.map_inv_hom_appₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem map_inv_hom_app (F : C ⥤ D ⥤ E) {X Y : C} (e : X ≅ Y) (Z : D) :
     (F.map e.inv).app Z ≫ (F.map e.Hom).app Z = 𝟙 _ := by
   simp [← nat_trans.comp_app, ← functor.map_comp]

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

feat(CategoryTheory): the action of a trifunctor on graded objects (#8239)

0012c94d

Diff

@@ -79,11 +79,13 @@ theorem comp_app {F G H : C ⥤ D} (α : F ⟶ G) (β : G ⟶ H) (X : C) :
 
 attribute [reassoc] comp_app
 
+@[reassoc]
 theorem app_naturality {F G : C ⥤ D ⥤ E} (T : F ⟶ G) (X : C) {Y Z : D} (f : Y ⟶ Z) :
     (F.obj X).map f ≫ (T.app X).app Z = (T.app X).app Y ≫ (G.obj X).map f :=
   (T.app X).naturality f
 #align category_theory.nat_trans.app_naturality CategoryTheory.NatTrans.app_naturality
 
+@[reassoc]
 theorem naturality_app {F G : C ⥤ D ⥤ E} (T : F ⟶ G) (Z : D) {X Y : C} (f : X ⟶ Y) :
     (F.map f).app Z ≫ (T.app Y).app Z = (T.app X).app Z ≫ (G.map f).app Z :=
   congr_fun (congr_arg app (T.naturality f)) Z

chore: fix SHA for Dold-Kan equivalence files (#6834)

cf01bdac

Diff

@@ -6,7 +6,7 @@ Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
 import Mathlib.CategoryTheory.NatTrans
 import Mathlib.CategoryTheory.Iso
 
-#align_import category_theory.functor.category from "leanprover-community/mathlib"@"8350c34a64b9bc3fc64335df8006bffcadc7baa6"
+#align_import category_theory.functor.category from "leanprover-community/mathlib"@"63721b2c3eba6c325ecf8ae8cca27155a4f6306f"
 
 /-!
 # The category of functors and natural transformations between two fixed categories.

feat: forward port of AlgebraicTopology.DoldKan.EquivalencePseudoabelian (#6293)

7d39ff43

Diff

@@ -77,6 +77,8 @@ theorem comp_app {F G H : C ⥤ D} (α : F ⟶ G) (β : G ⟶ H) (X : C) :
     (α ≫ β).app X = α.app X ≫ β.app X := rfl
 #align category_theory.nat_trans.comp_app CategoryTheory.NatTrans.comp_app
 
+attribute [reassoc] comp_app
+
 theorem app_naturality {F G : C ⥤ D ⥤ E} (T : F ⟶ G) (X : C) {Y Z : D} (f : Y ⟶ Z) :
     (F.obj X).map f ≫ (T.app X).app Z = (T.app X).app Y ≫ (G.obj X).map f :=
   (T.app X).naturality f

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

@@ -2,15 +2,12 @@
 Copyright (c) 2017 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
-
-! This file was ported from Lean 3 source module category_theory.functor.category
-! leanprover-community/mathlib commit 8350c34a64b9bc3fc64335df8006bffcadc7baa6
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.NatTrans
 import Mathlib.CategoryTheory.Iso
 
+#align_import category_theory.functor.category from "leanprover-community/mathlib"@"8350c34a64b9bc3fc64335df8006bffcadc7baa6"
+
 /-!
 # The category of functors and natural transformations between two fixed categories.

chore: cleanup in PresheafedSpace (#4558)

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

b69f9d15

Diff

@@ -57,7 +57,7 @@ namespace NatTrans
 -- Porting note: the behaviour of `ext` has changed here.
 -- We need to provide a copy of the `NatTrans.ext` lemma,
 -- written in terms of `F ⟶ G` rather than `NatTrans F G`,
--- or the `ext` will not retrieve it from the cache.
+-- or `ext` will not retrieve it from the cache.
 @[ext]
 theorem ext' {α β : F ⟶ G} (w : α.app = β.app) : α = β := NatTrans.ext _ _ w

chore: fix some names in comments (#3276)

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

b57ede59

Diff

@@ -139,7 +139,7 @@ open NatTrans
 
 namespace Functor
 
-/-- Flip the arguments of a bifunctor. See also `currying.lean`. -/
+/-- Flip the arguments of a bifunctor. See also `Currying.lean`. -/
 @[simps]
 protected def flip (F : C ⥤ D ⥤ E) : D ⥤ C ⥤ E where
   obj k :=

fix: category_theory -> CategoryTheory in note (#2357)

This changes the name of a library_note from "category_theory universes" to "CategoryTheory universes" to be more in line with the new naming conventions.

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

1640c545

Diff

@@ -26,7 +26,7 @@ this is a small category at the next higher level.
 
 namespace CategoryTheory
 
--- declare the `v`'s first; see note [category_theory universes].
+-- declare the `v`'s first; see note [CategoryTheory universes].
 universe v₁ v₂ v₃ u₁ u₂ u₃
 
 open NatTrans Category CategoryTheory.Functor

chore: add missing #align statements (#1902)

This PR is the result of a slight variant on the following "algorithm"

take all mathlib 3 names, remove _ and make all uppercase letters into lowercase
take all mathlib 4 names, remove _ and make all uppercase letters into lowercase
look for matches, and create pairs (original_lean3_name, OriginalLean4Name)
for pairs that do not have an align statement:
- use Lean 4 to lookup the file + position of the Lean 4 name
- add an #align statement just before the next empty line
manually fix some tiny mistakes (e.g., empty lines in proofs might cause the #align statement to have been inserted too early)

b72bb858

Diff

@@ -112,6 +112,7 @@ def hcomp {H I : D ⥤ E} (α : F ⟶ G) (β : H ⟶ I) : F ⋙ H ⟶ G ⋙ I wh
     rw [Functor.comp_map, Functor.comp_map, ← assoc, naturality, assoc, ← map_comp I, naturality,
       map_comp, assoc]
 #align category_theory.nat_trans.hcomp CategoryTheory.NatTrans.hcomp
+#align category_theory.nat_trans.hcomp_app CategoryTheory.NatTrans.hcomp_app
 
 /-- Notation for horizontal composition of natural transformations. -/
 infixl:80 " ◫ " => hcomp
@@ -146,6 +147,9 @@ protected def flip (F : C ⥤ D ⥤ E) : D ⥤ C ⥤ E where
       map := fun f => (F.map f).app k, }
   map f := { app := fun j => (F.obj j).map f }
 #align category_theory.functor.flip CategoryTheory.Functor.flip
+#align category_theory.functor.flip_obj_map CategoryTheory.Functor.flip_obj_map
+#align category_theory.functor.flip_obj_obj CategoryTheory.Functor.flip_obj_obj
+#align category_theory.functor.flip_map_app CategoryTheory.Functor.flip_map_app
 
 end Functor
 
@@ -154,11 +158,13 @@ theorem map_hom_inv_app (F : C ⥤ D ⥤ E) {X Y : C} (e : X ≅ Y) (Z : D) :
     (F.map e.hom).app Z ≫ (F.map e.inv).app Z = 𝟙 _ := by
   simp [← NatTrans.comp_app, ← Functor.map_comp]
 #align category_theory.map_hom_inv_app CategoryTheory.map_hom_inv_app
+#align category_theory.map_hom_inv_app_assoc CategoryTheory.map_hom_inv_app_assoc
 
 @[reassoc (attr := simp)]
 theorem map_inv_hom_app (F : C ⥤ D ⥤ E) {X Y : C} (e : X ≅ Y) (Z : D) :
     (F.map e.inv).app Z ≫ (F.map e.hom).app Z = 𝟙 _ := by
   simp [← NatTrans.comp_app, ← Functor.map_comp]
 #align category_theory.map_inv_hom_app CategoryTheory.map_inv_hom_app
+#align category_theory.map_inv_hom_app_assoc CategoryTheory.map_inv_hom_app_assoc
 
 end CategoryTheory

feat: improve the way to_additive deals with attributes (#1314)

The new syntax for any attributes that need to be copied by to_additive is @[to_additive (attrs := simp, ext, simps)]
Adds the auxiliary declarations generated by the simp and simps attributes to the to_additive-dictionary.
Future issue: Does not yet translate auxiliary declarations for other attributes (including custom simp-attributes). In particular it's possible that norm_cast might generate some auxiliary declarations.
Fixes #950
Fixes #953
Fixes #1149
This moves the interaction between to_additive and simps from the Simps file to the toAdditive file for uniformity.
Make the same changes to @[reassoc]

Co-authored-by: Johan Commelin <johan@commelin.net> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

56bf4cd6

Diff

@@ -149,13 +149,13 @@ protected def flip (F : C ⥤ D ⥤ E) : D ⥤ C ⥤ E where
 
 end Functor
 
-@[simp, reassoc]
+@[reassoc (attr := simp)]
 theorem map_hom_inv_app (F : C ⥤ D ⥤ E) {X Y : C} (e : X ≅ Y) (Z : D) :
     (F.map e.hom).app Z ≫ (F.map e.inv).app Z = 𝟙 _ := by
   simp [← NatTrans.comp_app, ← Functor.map_comp]
 #align category_theory.map_hom_inv_app CategoryTheory.map_hom_inv_app
 
-@[simp, reassoc]
+@[reassoc (attr := simp)]
 theorem map_inv_hom_app (F : C ⥤ D ⥤ E) {X Y : C} (e : X ≅ Y) (Z : D) :
     (F.map e.inv).app Z ≫ (F.map e.hom).app Z = 𝟙 _ := by
   simp [← NatTrans.comp_app, ← Functor.map_comp]