category_theory.limits.shapes.diagonal

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

f6bab678

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

cb3ceec8

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,9 +3,9 @@ Copyright (c) 2022 Andrew Yang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Andrew Yang
 -/
-import Mathbin.CategoryTheory.Limits.Shapes.Pullbacks
-import Mathbin.CategoryTheory.Limits.Shapes.KernelPair
-import Mathbin.CategoryTheory.Limits.Shapes.CommSq
+import CategoryTheory.Limits.Shapes.Pullbacks
+import CategoryTheory.Limits.Shapes.KernelPair
+import CategoryTheory.Limits.Shapes.CommSq
 
 #align_import category_theory.limits.shapes.diagonal from "leanprover-community/mathlib"@"cb3ceec8485239a61ed51d944cb9a95b68c6bafc"

cb3ceec8

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2022 Andrew Yang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Andrew Yang
-
-! This file was ported from Lean 3 source module category_theory.limits.shapes.diagonal
-! leanprover-community/mathlib commit cb3ceec8485239a61ed51d944cb9a95b68c6bafc
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Limits.Shapes.Pullbacks
 import Mathbin.CategoryTheory.Limits.Shapes.KernelPair
 import Mathbin.CategoryTheory.Limits.Shapes.CommSq
 
+#align_import category_theory.limits.shapes.diagonal from "leanprover-community/mathlib"@"cb3ceec8485239a61ed51d944cb9a95b68c6bafc"
+
 /-!
 # The diagonal object of a morphism.

cb3ceec8

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -409,6 +409,7 @@ theorem diagonalObjPullbackFstIso_inv_snd_snd {X Y Z : C} (f : X ⟶ Z) (g : Y 
 #align category_theory.limits.diagonal_obj_pullback_fst_iso_inv_snd_snd CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_snd_snd
 -/
 
+#print CategoryTheory.Limits.diagonal_pullback_fst /-
 theorem diagonal_pullback_fst {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     diagonal (pullback.fst : pullback f g ⟶ _) =
       (pullbackSymmetry _ _).Hom ≫
@@ -417,6 +418,7 @@ theorem diagonal_pullback_fst {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
           (diagonalObjPullbackFstIso f g).inv :=
   by ext <;> simp
 #align category_theory.limits.diagonal_pullback_fst CategoryTheory.Limits.diagonal_pullback_fst
+-/
 
 end

cb3ceec8

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -409,9 +409,6 @@ theorem diagonalObjPullbackFstIso_inv_snd_snd {X Y Z : C} (f : X ⟶ Z) (g : Y 
 #align category_theory.limits.diagonal_obj_pullback_fst_iso_inv_snd_snd CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_snd_snd
 -/
 
-/- warning: category_theory.limits.diagonal_pullback_fst -> CategoryTheory.Limits.diagonal_pullback_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.diagonal_pullback_fst CategoryTheory.Limits.diagonal_pullback_fstₓ'. -/
 theorem diagonal_pullback_fst {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     diagonal (pullback.fst : pullback f g ⟶ _) =
       (pullbackSymmetry _ _).Hom ≫

cb3ceec8

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -179,50 +179,40 @@ def pullbackDiagonalMapIso :
 #print CategoryTheory.Limits.pullbackDiagonalMapIso_hom_fst /-
 @[simp, reassoc]
 theorem pullbackDiagonalMapIso_hom_fst :
-    (pullbackDiagonalMapIso f i i₁ i₂).Hom ≫ pullback.fst = pullback.snd ≫ pullback.fst :=
-  by
-  delta pullback_diagonal_map_iso
-  simp
+    (pullbackDiagonalMapIso f i i₁ i₂).Hom ≫ pullback.fst = pullback.snd ≫ pullback.fst := by
+  delta pullback_diagonal_map_iso; simp
 #align category_theory.limits.pullback_diagonal_map_iso_hom_fst CategoryTheory.Limits.pullbackDiagonalMapIso_hom_fst
 -/
 
 #print CategoryTheory.Limits.pullbackDiagonalMapIso_hom_snd /-
 @[simp, reassoc]
 theorem pullbackDiagonalMapIso_hom_snd :
-    (pullbackDiagonalMapIso f i i₁ i₂).Hom ≫ pullback.snd = pullback.snd ≫ pullback.snd :=
-  by
-  delta pullback_diagonal_map_iso
-  simp
+    (pullbackDiagonalMapIso f i i₁ i₂).Hom ≫ pullback.snd = pullback.snd ≫ pullback.snd := by
+  delta pullback_diagonal_map_iso; simp
 #align category_theory.limits.pullback_diagonal_map_iso_hom_snd CategoryTheory.Limits.pullbackDiagonalMapIso_hom_snd
 -/
 
 #print CategoryTheory.Limits.pullbackDiagonalMapIso_inv_fst /-
 @[simp, reassoc]
 theorem pullbackDiagonalMapIso_inv_fst :
-    (pullbackDiagonalMapIso f i i₁ i₂).inv ≫ pullback.fst = pullback.fst ≫ i₁ ≫ pullback.fst :=
-  by
-  delta pullback_diagonal_map_iso
-  simp
+    (pullbackDiagonalMapIso f i i₁ i₂).inv ≫ pullback.fst = pullback.fst ≫ i₁ ≫ pullback.fst := by
+  delta pullback_diagonal_map_iso; simp
 #align category_theory.limits.pullback_diagonal_map_iso_inv_fst CategoryTheory.Limits.pullbackDiagonalMapIso_inv_fst
 -/
 
 #print CategoryTheory.Limits.pullbackDiagonalMapIso_inv_snd_fst /-
 @[simp, reassoc]
 theorem pullbackDiagonalMapIso_inv_snd_fst :
-    (pullbackDiagonalMapIso f i i₁ i₂).inv ≫ pullback.snd ≫ pullback.fst = pullback.fst :=
-  by
-  delta pullback_diagonal_map_iso
-  simp
+    (pullbackDiagonalMapIso f i i₁ i₂).inv ≫ pullback.snd ≫ pullback.fst = pullback.fst := by
+  delta pullback_diagonal_map_iso; simp
 #align category_theory.limits.pullback_diagonal_map_iso_inv_snd_fst CategoryTheory.Limits.pullbackDiagonalMapIso_inv_snd_fst
 -/
 
 #print CategoryTheory.Limits.pullbackDiagonalMapIso_inv_snd_snd /-
 @[simp, reassoc]
 theorem pullbackDiagonalMapIso_inv_snd_snd :
-    (pullbackDiagonalMapIso f i i₁ i₂).inv ≫ pullback.snd ≫ pullback.snd = pullback.snd :=
-  by
-  delta pullback_diagonal_map_iso
-  simp
+    (pullbackDiagonalMapIso f i i₁ i₂).inv ≫ pullback.snd ≫ pullback.snd = pullback.snd := by
+  delta pullback_diagonal_map_iso; simp
 #align category_theory.limits.pullback_diagonal_map_iso_inv_snd_snd CategoryTheory.Limits.pullbackDiagonalMapIso_inv_snd_snd
 -/
 
@@ -287,20 +277,16 @@ def pullbackDiagonalMapIdIso :
 #print CategoryTheory.Limits.pullbackDiagonalMapIdIso_hom_fst /-
 @[simp, reassoc]
 theorem pullbackDiagonalMapIdIso_hom_fst :
-    (pullbackDiagonalMapIdIso f g i).Hom ≫ pullback.fst = pullback.snd ≫ pullback.fst :=
-  by
-  delta pullback_diagonal_map_id_iso
-  simp
+    (pullbackDiagonalMapIdIso f g i).Hom ≫ pullback.fst = pullback.snd ≫ pullback.fst := by
+  delta pullback_diagonal_map_id_iso; simp
 #align category_theory.limits.pullback_diagonal_map_id_iso_hom_fst CategoryTheory.Limits.pullbackDiagonalMapIdIso_hom_fst
 -/
 
 #print CategoryTheory.Limits.pullbackDiagonalMapIdIso_hom_snd /-
 @[simp, reassoc]
 theorem pullbackDiagonalMapIdIso_hom_snd :
-    (pullbackDiagonalMapIdIso f g i).Hom ≫ pullback.snd = pullback.snd ≫ pullback.snd :=
-  by
-  delta pullback_diagonal_map_id_iso
-  simp
+    (pullbackDiagonalMapIdIso f g i).Hom ≫ pullback.snd = pullback.snd ≫ pullback.snd := by
+  delta pullback_diagonal_map_id_iso; simp
 #align category_theory.limits.pullback_diagonal_map_id_iso_hom_snd CategoryTheory.Limits.pullbackDiagonalMapIdIso_hom_snd
 -/
 
@@ -317,20 +303,16 @@ theorem pullbackDiagonalMapIdIso_inv_fst :
 #print CategoryTheory.Limits.pullbackDiagonalMapIdIso_inv_snd_fst /-
 @[simp, reassoc]
 theorem pullbackDiagonalMapIdIso_inv_snd_fst :
-    (pullbackDiagonalMapIdIso f g i).inv ≫ pullback.snd ≫ pullback.fst = pullback.fst :=
-  by
-  rw [iso.inv_comp_eq]
-  simp
+    (pullbackDiagonalMapIdIso f g i).inv ≫ pullback.snd ≫ pullback.fst = pullback.fst := by
+  rw [iso.inv_comp_eq]; simp
 #align category_theory.limits.pullback_diagonal_map_id_iso_inv_snd_fst CategoryTheory.Limits.pullbackDiagonalMapIdIso_inv_snd_fst
 -/
 
 #print CategoryTheory.Limits.pullbackDiagonalMapIdIso_inv_snd_snd /-
 @[simp, reassoc]
 theorem pullbackDiagonalMapIdIso_inv_snd_snd :
-    (pullbackDiagonalMapIdIso f g i).inv ≫ pullback.snd ≫ pullback.snd = pullback.snd :=
-  by
-  rw [iso.inv_comp_eq]
-  simp
+    (pullbackDiagonalMapIdIso f g i).inv ≫ pullback.snd ≫ pullback.snd = pullback.snd := by
+  rw [iso.inv_comp_eq]; simp
 #align category_theory.limits.pullback_diagonal_map_id_iso_inv_snd_snd CategoryTheory.Limits.pullbackDiagonalMapIdIso_inv_snd_snd
 -/
 
@@ -352,8 +334,7 @@ theorem pullback_map_diagonal_isPullback :
   apply is_pullback.of_iso_pullback _ (pullback_diagonal_map_id_iso f g i).symm
   · simp
   · ext <;> simp
-  · constructor
-    ext <;> simp [condition]
+  · constructor; ext <;> simp [condition]
 #align category_theory.limits.pullback_map_diagonal_is_pullback CategoryTheory.Limits.pullback_map_diagonal_isPullback
 -/
 
@@ -373,9 +354,7 @@ def diagonalObjPullbackFstIso {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
 theorem diagonalObjPullbackFstIso_hom_fst_fst {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (diagonalObjPullbackFstIso f g).Hom ≫ pullback.fst ≫ pullback.fst =
       pullback.fst ≫ pullback.snd :=
-  by
-  delta diagonal_obj_pullback_fst_iso
-  simp
+  by delta diagonal_obj_pullback_fst_iso; simp
 #align category_theory.limits.diagonal_obj_pullback_fst_iso_hom_fst_fst CategoryTheory.Limits.diagonalObjPullbackFstIso_hom_fst_fst
 -/
 
@@ -384,29 +363,23 @@ theorem diagonalObjPullbackFstIso_hom_fst_fst {X Y Z : C} (f : X ⟶ Z) (g : Y 
 theorem diagonalObjPullbackFstIso_hom_fst_snd {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (diagonalObjPullbackFstIso f g).Hom ≫ pullback.fst ≫ pullback.snd =
       pullback.snd ≫ pullback.snd :=
-  by
-  delta diagonal_obj_pullback_fst_iso
-  simp
+  by delta diagonal_obj_pullback_fst_iso; simp
 #align category_theory.limits.diagonal_obj_pullback_fst_iso_hom_fst_snd CategoryTheory.Limits.diagonalObjPullbackFstIso_hom_fst_snd
 -/
 
 #print CategoryTheory.Limits.diagonalObjPullbackFstIso_hom_snd /-
 @[simp, reassoc]
 theorem diagonalObjPullbackFstIso_hom_snd {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
-    (diagonalObjPullbackFstIso f g).Hom ≫ pullback.snd = pullback.fst ≫ pullback.fst :=
-  by
-  delta diagonal_obj_pullback_fst_iso
-  simp
+    (diagonalObjPullbackFstIso f g).Hom ≫ pullback.snd = pullback.fst ≫ pullback.fst := by
+  delta diagonal_obj_pullback_fst_iso; simp
 #align category_theory.limits.diagonal_obj_pullback_fst_iso_hom_snd CategoryTheory.Limits.diagonalObjPullbackFstIso_hom_snd
 -/
 
 #print CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_fst_fst /-
 @[simp, reassoc]
 theorem diagonalObjPullbackFstIso_inv_fst_fst {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
-    (diagonalObjPullbackFstIso f g).inv ≫ pullback.fst ≫ pullback.fst = pullback.snd :=
-  by
-  delta diagonal_obj_pullback_fst_iso
-  simp
+    (diagonalObjPullbackFstIso f g).inv ≫ pullback.fst ≫ pullback.fst = pullback.snd := by
+  delta diagonal_obj_pullback_fst_iso; simp
 #align category_theory.limits.diagonal_obj_pullback_fst_iso_inv_fst_fst CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_fst_fst
 -/
 
@@ -415,19 +388,15 @@ theorem diagonalObjPullbackFstIso_inv_fst_fst {X Y Z : C} (f : X ⟶ Z) (g : Y 
 theorem diagonalObjPullbackFstIso_inv_fst_snd {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (diagonalObjPullbackFstIso f g).inv ≫ pullback.fst ≫ pullback.snd =
       pullback.fst ≫ pullback.fst :=
-  by
-  delta diagonal_obj_pullback_fst_iso
-  simp
+  by delta diagonal_obj_pullback_fst_iso; simp
 #align category_theory.limits.diagonal_obj_pullback_fst_iso_inv_fst_snd CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_fst_snd
 -/
 
 #print CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_snd_fst /-
 @[simp, reassoc]
 theorem diagonalObjPullbackFstIso_inv_snd_fst {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
-    (diagonalObjPullbackFstIso f g).inv ≫ pullback.snd ≫ pullback.fst = pullback.snd :=
-  by
-  delta diagonal_obj_pullback_fst_iso
-  simp
+    (diagonalObjPullbackFstIso f g).inv ≫ pullback.snd ≫ pullback.fst = pullback.snd := by
+  delta diagonal_obj_pullback_fst_iso; simp
 #align category_theory.limits.diagonal_obj_pullback_fst_iso_inv_snd_fst CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_snd_fst
 -/
 
@@ -436,9 +405,7 @@ theorem diagonalObjPullbackFstIso_inv_snd_fst {X Y Z : C} (f : X ⟶ Z) (g : Y 
 theorem diagonalObjPullbackFstIso_inv_snd_snd {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (diagonalObjPullbackFstIso f g).inv ≫ pullback.snd ≫ pullback.snd =
       pullback.fst ≫ pullback.snd :=
-  by
-  delta diagonal_obj_pullback_fst_iso
-  simp
+  by delta diagonal_obj_pullback_fst_iso; simp
 #align category_theory.limits.diagonal_obj_pullback_fst_iso_inv_snd_snd CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_snd_snd
 -/

cb3ceec8

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -443,10 +443,7 @@ theorem diagonalObjPullbackFstIso_inv_snd_snd {X Y Z : C} (f : X ⟶ Z) (g : Y 
 -/
 
 /- warning: category_theory.limits.diagonal_pullback_fst -> CategoryTheory.Limits.diagonal_pullback_fst is a dubious translation:
-lean 3 declaration is
-  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Limits.HasPullbacks.{u2, u1} C _inst_1] {X : C} {Y : C} {Z : C} (f : Quiver.Hom.{succ u2, u1} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1)) X Z) (g : Quiver.Hom.{succ u2, u1} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1)) Y Z), Eq.{succ u2} (Quiver.Hom.{succ u2, u1} C (CategoryTheory.CategoryStruct.toQuiver.{u2, u1} C (CategoryTheory.Category.toCategoryStruct.{u2, u1} C _inst_1)) (CategoryTheory.Limits.pullback.{u2, u1} C _inst_1 X Y Z f g (CategoryTheory.Limits.hasLimitOfHasLimitsOfShape.{0, 0, u2, u1} C _inst_1 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) _inst_2 (CategoryTheory.Limits.cospan.{u2, u1} C _inst_1 X Y Z f g))) (CategoryTheory.Limits.pullback.diagonalObj.{u1, u2} C _inst_1 (CategoryTheory.Limits.pullback.{u2, u1} C _inst_1 X Y Z f g (CategoryTheory.Limits.hasLimitOfHasLimitsOfShape.{0, 0, u2, u1} C _inst_1 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) _inst_2 (CategoryTheory.Limits.cospan.{u2, u1} C _inst_1 X Y Z f g))) X (CategoryTheory.Limits.pullback.fst.{u2, u1} C _inst_1 X Y Z f g (CategoryTheory.Limits.hasLimitOfHasLimitsOfShape.{0, 0, u2, u1} C _inst_1 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) _inst_2 (CategoryTheory.Limits.cospan.{u2, u1} C _inst_1 X Y Z f g))) (CategoryTheory.Limits.hasLimitOfHasLimitsOfShape.{0, 0, u2, u1} C _inst_1 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) _inst_2 (CategoryTheory.Limits.cospan.{u2, u1} C _inst_1 (CategoryTheory.Limits.pullback.{u2, u1} C _inst_1 X Y Z f g 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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.diagonal_pullback_fst CategoryTheory.Limits.diagonal_pullback_fstₓ'. -/
 theorem diagonal_pullback_fst {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     diagonal (pullback.fst : pullback f g ⟶ _) =

cb3ceec8

bump to nightly-2023-05-23-03

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

ed98987c

Diff

@@ -53,14 +53,14 @@ def diagonal : X ⟶ diagonalObj f :=
 -/
 
 #print CategoryTheory.Limits.pullback.diagonal_fst /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem diagonal_fst : diagonal f ≫ pullback.fst = 𝟙 _ :=
   pullback.lift_fst _ _ _
 #align category_theory.limits.pullback.diagonal_fst CategoryTheory.Limits.pullback.diagonal_fst
 -/
 
 #print CategoryTheory.Limits.pullback.diagonal_snd /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem diagonal_snd : diagonal f ≫ pullback.snd = 𝟙 _ :=
   pullback.lift_snd _ _ _
 #align category_theory.limits.pullback.diagonal_snd CategoryTheory.Limits.pullback.diagonal_snd
@@ -102,7 +102,7 @@ variable {U V₁ V₂ : C} (f : X ⟶ Y) (i : U ⟶ Y)
 variable (i₁ : V₁ ⟶ pullback f i) (i₂ : V₂ ⟶ pullback f i)
 
 #print CategoryTheory.Limits.pullback_diagonal_map_snd_fst_fst /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem pullback_diagonal_map_snd_fst_fst :
     (pullback.snd :
           pullback (diagonal f)
@@ -118,7 +118,7 @@ theorem pullback_diagonal_map_snd_fst_fst :
 -/
 
 #print CategoryTheory.Limits.pullback_diagonal_map_snd_snd_fst /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem pullback_diagonal_map_snd_snd_fst :
     (pullback.snd :
           pullback (diagonal f)
@@ -177,7 +177,7 @@ def pullbackDiagonalMapIso :
 -/
 
 #print CategoryTheory.Limits.pullbackDiagonalMapIso_hom_fst /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem pullbackDiagonalMapIso_hom_fst :
     (pullbackDiagonalMapIso f i i₁ i₂).Hom ≫ pullback.fst = pullback.snd ≫ pullback.fst :=
   by
@@ -187,7 +187,7 @@ theorem pullbackDiagonalMapIso_hom_fst :
 -/
 
 #print CategoryTheory.Limits.pullbackDiagonalMapIso_hom_snd /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem pullbackDiagonalMapIso_hom_snd :
     (pullbackDiagonalMapIso f i i₁ i₂).Hom ≫ pullback.snd = pullback.snd ≫ pullback.snd :=
   by
@@ -197,7 +197,7 @@ theorem pullbackDiagonalMapIso_hom_snd :
 -/
 
 #print CategoryTheory.Limits.pullbackDiagonalMapIso_inv_fst /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem pullbackDiagonalMapIso_inv_fst :
     (pullbackDiagonalMapIso f i i₁ i₂).inv ≫ pullback.fst = pullback.fst ≫ i₁ ≫ pullback.fst :=
   by
@@ -207,7 +207,7 @@ theorem pullbackDiagonalMapIso_inv_fst :
 -/
 
 #print CategoryTheory.Limits.pullbackDiagonalMapIso_inv_snd_fst /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem pullbackDiagonalMapIso_inv_snd_fst :
     (pullbackDiagonalMapIso f i i₁ i₂).inv ≫ pullback.snd ≫ pullback.fst = pullback.fst :=
   by
@@ -217,7 +217,7 @@ theorem pullbackDiagonalMapIso_inv_snd_fst :
 -/
 
 #print CategoryTheory.Limits.pullbackDiagonalMapIso_inv_snd_snd /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem pullbackDiagonalMapIso_inv_snd_snd :
     (pullbackDiagonalMapIso f i i₁ i₂).inv ≫ pullback.snd ≫ pullback.snd = pullback.snd :=
   by
@@ -285,7 +285,7 @@ def pullbackDiagonalMapIdIso :
 -/
 
 #print CategoryTheory.Limits.pullbackDiagonalMapIdIso_hom_fst /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem pullbackDiagonalMapIdIso_hom_fst :
     (pullbackDiagonalMapIdIso f g i).Hom ≫ pullback.fst = pullback.snd ≫ pullback.fst :=
   by
@@ -295,7 +295,7 @@ theorem pullbackDiagonalMapIdIso_hom_fst :
 -/
 
 #print CategoryTheory.Limits.pullbackDiagonalMapIdIso_hom_snd /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem pullbackDiagonalMapIdIso_hom_snd :
     (pullbackDiagonalMapIdIso f g i).Hom ≫ pullback.snd = pullback.snd ≫ pullback.snd :=
   by
@@ -305,7 +305,7 @@ theorem pullbackDiagonalMapIdIso_hom_snd :
 -/
 
 #print CategoryTheory.Limits.pullbackDiagonalMapIdIso_inv_fst /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem pullbackDiagonalMapIdIso_inv_fst :
     (pullbackDiagonalMapIdIso f g i).inv ≫ pullback.fst = pullback.fst ≫ f :=
   by
@@ -315,7 +315,7 @@ theorem pullbackDiagonalMapIdIso_inv_fst :
 -/
 
 #print CategoryTheory.Limits.pullbackDiagonalMapIdIso_inv_snd_fst /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem pullbackDiagonalMapIdIso_inv_snd_fst :
     (pullbackDiagonalMapIdIso f g i).inv ≫ pullback.snd ≫ pullback.fst = pullback.fst :=
   by
@@ -325,7 +325,7 @@ theorem pullbackDiagonalMapIdIso_inv_snd_fst :
 -/
 
 #print CategoryTheory.Limits.pullbackDiagonalMapIdIso_inv_snd_snd /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem pullbackDiagonalMapIdIso_inv_snd_snd :
     (pullbackDiagonalMapIdIso f g i).inv ≫ pullback.snd ≫ pullback.snd = pullback.snd :=
   by
@@ -369,7 +369,7 @@ def diagonalObjPullbackFstIso {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
 -/
 
 #print CategoryTheory.Limits.diagonalObjPullbackFstIso_hom_fst_fst /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem diagonalObjPullbackFstIso_hom_fst_fst {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (diagonalObjPullbackFstIso f g).Hom ≫ pullback.fst ≫ pullback.fst =
       pullback.fst ≫ pullback.snd :=
@@ -380,7 +380,7 @@ theorem diagonalObjPullbackFstIso_hom_fst_fst {X Y Z : C} (f : X ⟶ Z) (g : Y 
 -/
 
 #print CategoryTheory.Limits.diagonalObjPullbackFstIso_hom_fst_snd /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem diagonalObjPullbackFstIso_hom_fst_snd {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (diagonalObjPullbackFstIso f g).Hom ≫ pullback.fst ≫ pullback.snd =
       pullback.snd ≫ pullback.snd :=
@@ -391,7 +391,7 @@ theorem diagonalObjPullbackFstIso_hom_fst_snd {X Y Z : C} (f : X ⟶ Z) (g : Y 
 -/
 
 #print CategoryTheory.Limits.diagonalObjPullbackFstIso_hom_snd /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem diagonalObjPullbackFstIso_hom_snd {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (diagonalObjPullbackFstIso f g).Hom ≫ pullback.snd = pullback.fst ≫ pullback.fst :=
   by
@@ -401,7 +401,7 @@ theorem diagonalObjPullbackFstIso_hom_snd {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z
 -/
 
 #print CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_fst_fst /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem diagonalObjPullbackFstIso_inv_fst_fst {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (diagonalObjPullbackFstIso f g).inv ≫ pullback.fst ≫ pullback.fst = pullback.snd :=
   by
@@ -411,7 +411,7 @@ theorem diagonalObjPullbackFstIso_inv_fst_fst {X Y Z : C} (f : X ⟶ Z) (g : Y 
 -/
 
 #print CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_fst_snd /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem diagonalObjPullbackFstIso_inv_fst_snd {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (diagonalObjPullbackFstIso f g).inv ≫ pullback.fst ≫ pullback.snd =
       pullback.fst ≫ pullback.fst :=
@@ -422,7 +422,7 @@ theorem diagonalObjPullbackFstIso_inv_fst_snd {X Y Z : C} (f : X ⟶ Z) (g : Y 
 -/
 
 #print CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_snd_fst /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem diagonalObjPullbackFstIso_inv_snd_fst {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (diagonalObjPullbackFstIso f g).inv ≫ pullback.snd ≫ pullback.fst = pullback.snd :=
   by
@@ -432,7 +432,7 @@ theorem diagonalObjPullbackFstIso_inv_snd_fst {X Y Z : C} (f : X ⟶ Z) (g : Y 
 -/
 
 #print CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_snd_snd /-
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem diagonalObjPullbackFstIso_inv_snd_snd {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (diagonalObjPullbackFstIso f g).inv ≫ pullback.snd ≫ pullback.snd =
       pullback.fst ≫ pullback.snd :=

cb3ceec8

bump to nightly-2023-03-26-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/55d771df074d0dd020139ee1cd4b95521422df9f

ca5de00c

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Andrew Yang
 
 ! This file was ported from Lean 3 source module category_theory.limits.shapes.diagonal
-! leanprover-community/mathlib commit f6bab67886fb92c3e2f539cc90a83815f69a189d
+! leanprover-community/mathlib commit cb3ceec8485239a61ed51d944cb9a95b68c6bafc
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.CategoryTheory.Limits.Shapes.CommSq
 /-!
 # The diagonal object of a morphism.
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We provide various API and isomorphisms considering the diagonal object `Δ_{Y/X} := pullback f f`
 of a morphism `f : X ⟶ Y`.

f6bab678

bump to nightly-2023-03-24-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/b19481deb571022990f1baa9cbf9172e6757a479

5b87f9bb

Diff

@@ -35,25 +35,33 @@ section Diagonal
 
 variable (f : X ⟶ Y) [HasPullback f f]
 
+#print CategoryTheory.Limits.pullback.diagonalObj /-
 /-- The diagonal object of a morphism `f : X ⟶ Y` is `Δ_{X/Y} := pullback f f`. -/
 abbrev diagonalObj : C :=
   pullback f f
 #align category_theory.limits.pullback.diagonal_obj CategoryTheory.Limits.pullback.diagonalObj
+-/
 
+#print CategoryTheory.Limits.pullback.diagonal /-
 /-- The diagonal morphism `X ⟶ Δ_{X/Y}` for a morphism `f : X ⟶ Y`. -/
 def diagonal : X ⟶ diagonalObj f :=
   pullback.lift (𝟙 _) (𝟙 _) rfl
 #align category_theory.limits.pullback.diagonal CategoryTheory.Limits.pullback.diagonal
+-/
 
+#print CategoryTheory.Limits.pullback.diagonal_fst /-
 @[simp, reassoc.1]
 theorem diagonal_fst : diagonal f ≫ pullback.fst = 𝟙 _ :=
   pullback.lift_fst _ _ _
 #align category_theory.limits.pullback.diagonal_fst CategoryTheory.Limits.pullback.diagonal_fst
+-/
 
+#print CategoryTheory.Limits.pullback.diagonal_snd /-
 @[simp, reassoc.1]
 theorem diagonal_snd : diagonal f ≫ pullback.snd = 𝟙 _ :=
   pullback.lift_snd _ _ _
 #align category_theory.limits.pullback.diagonal_snd CategoryTheory.Limits.pullback.diagonal_snd
+-/
 
 instance : IsSplitMono (diagonal f) :=
   ⟨⟨⟨pullback.fst, diagonal_fst f⟩⟩⟩
@@ -69,10 +77,12 @@ instance [Mono f] : IsIso (diagonal f) :=
   rw [(is_iso.inv_eq_of_inv_hom_id (diagonal_fst f)).symm]
   infer_instance
 
+#print CategoryTheory.Limits.pullback.diagonal_isKernelPair /-
 /-- The two projections `Δ_{X/Y} ⟶ X` form a kernel pair for `f : X ⟶ Y`. -/
 theorem diagonal_isKernelPair : IsKernelPair f (pullback.fst : diagonalObj f ⟶ _) pullback.snd :=
   IsPullback.of_hasPullback f f
 #align category_theory.limits.pullback.diagonal_is_kernel_pair CategoryTheory.Limits.pullback.diagonal_isKernelPair
+-/
 
 end Diagonal
 
@@ -88,6 +98,7 @@ variable {U V₁ V₂ : C} (f : X ⟶ Y) (i : U ⟶ Y)
 
 variable (i₁ : V₁ ⟶ pullback f i) (i₂ : V₂ ⟶ pullback f i)
 
+#print CategoryTheory.Limits.pullback_diagonal_map_snd_fst_fst /-
 @[simp, reassoc.1]
 theorem pullback_diagonal_map_snd_fst_fst :
     (pullback.snd :
@@ -101,7 +112,9 @@ theorem pullback_diagonal_map_snd_fst_fst :
   conv_rhs => rw [← category.comp_id pullback.fst]
   rw [← diagonal_fst f, pullback.condition_assoc, pullback.lift_fst]
 #align category_theory.limits.pullback_diagonal_map_snd_fst_fst CategoryTheory.Limits.pullback_diagonal_map_snd_fst_fst
+-/
 
+#print CategoryTheory.Limits.pullback_diagonal_map_snd_snd_fst /-
 @[simp, reassoc.1]
 theorem pullback_diagonal_map_snd_snd_fst :
     (pullback.snd :
@@ -115,9 +128,11 @@ theorem pullback_diagonal_map_snd_snd_fst :
   conv_rhs => rw [← category.comp_id pullback.fst]
   rw [← diagonal_snd f, pullback.condition_assoc, pullback.lift_snd]
 #align category_theory.limits.pullback_diagonal_map_snd_snd_fst CategoryTheory.Limits.pullback_diagonal_map_snd_snd_fst
+-/
 
 variable [HasPullback i₁ i₂]
 
+#print CategoryTheory.Limits.pullbackDiagonalMapIso /-
 /-- This iso witnesses the fact that
 given `f : X ⟶ Y`, `i : U ⟶ Y`, and `i₁ : V₁ ⟶ X ×[Y] U`, `i₂ : V₂ ⟶ X ×[Y] U`, the diagram
 
@@ -156,7 +171,9 @@ def pullbackDiagonalMapIso :
         pullback_diagonal_map_snd_fst_fst, lift_fst, lift_snd, category.comp_id]
   inv_hom_id' := by ext <;> simp
 #align category_theory.limits.pullback_diagonal_map_iso CategoryTheory.Limits.pullbackDiagonalMapIso
+-/
 
+#print CategoryTheory.Limits.pullbackDiagonalMapIso_hom_fst /-
 @[simp, reassoc.1]
 theorem pullbackDiagonalMapIso_hom_fst :
     (pullbackDiagonalMapIso f i i₁ i₂).Hom ≫ pullback.fst = pullback.snd ≫ pullback.fst :=
@@ -164,7 +181,9 @@ theorem pullbackDiagonalMapIso_hom_fst :
   delta pullback_diagonal_map_iso
   simp
 #align category_theory.limits.pullback_diagonal_map_iso_hom_fst CategoryTheory.Limits.pullbackDiagonalMapIso_hom_fst
+-/
 
+#print CategoryTheory.Limits.pullbackDiagonalMapIso_hom_snd /-
 @[simp, reassoc.1]
 theorem pullbackDiagonalMapIso_hom_snd :
     (pullbackDiagonalMapIso f i i₁ i₂).Hom ≫ pullback.snd = pullback.snd ≫ pullback.snd :=
@@ -172,7 +191,9 @@ theorem pullbackDiagonalMapIso_hom_snd :
   delta pullback_diagonal_map_iso
   simp
 #align category_theory.limits.pullback_diagonal_map_iso_hom_snd CategoryTheory.Limits.pullbackDiagonalMapIso_hom_snd
+-/
 
+#print CategoryTheory.Limits.pullbackDiagonalMapIso_inv_fst /-
 @[simp, reassoc.1]
 theorem pullbackDiagonalMapIso_inv_fst :
     (pullbackDiagonalMapIso f i i₁ i₂).inv ≫ pullback.fst = pullback.fst ≫ i₁ ≫ pullback.fst :=
@@ -180,7 +201,9 @@ theorem pullbackDiagonalMapIso_inv_fst :
   delta pullback_diagonal_map_iso
   simp
 #align category_theory.limits.pullback_diagonal_map_iso_inv_fst CategoryTheory.Limits.pullbackDiagonalMapIso_inv_fst
+-/
 
+#print CategoryTheory.Limits.pullbackDiagonalMapIso_inv_snd_fst /-
 @[simp, reassoc.1]
 theorem pullbackDiagonalMapIso_inv_snd_fst :
     (pullbackDiagonalMapIso f i i₁ i₂).inv ≫ pullback.snd ≫ pullback.fst = pullback.fst :=
@@ -188,7 +211,9 @@ theorem pullbackDiagonalMapIso_inv_snd_fst :
   delta pullback_diagonal_map_iso
   simp
 #align category_theory.limits.pullback_diagonal_map_iso_inv_snd_fst CategoryTheory.Limits.pullbackDiagonalMapIso_inv_snd_fst
+-/
 
+#print CategoryTheory.Limits.pullbackDiagonalMapIso_inv_snd_snd /-
 @[simp, reassoc.1]
 theorem pullbackDiagonalMapIso_inv_snd_snd :
     (pullbackDiagonalMapIso f i i₁ i₂).inv ≫ pullback.snd ≫ pullback.snd = pullback.snd :=
@@ -196,7 +221,9 @@ theorem pullbackDiagonalMapIso_inv_snd_snd :
   delta pullback_diagonal_map_iso
   simp
 #align category_theory.limits.pullback_diagonal_map_iso_inv_snd_snd CategoryTheory.Limits.pullbackDiagonalMapIso_inv_snd_snd
+-/
 
+#print CategoryTheory.Limits.pullback_fst_map_snd_isPullback /-
 theorem pullback_fst_map_snd_isPullback :
     IsPullback (fst ≫ i₁ ≫ fst)
       (map i₁ i₂ (i₁ ≫ snd) (i₂ ≫ snd) _ _ _ (Category.id_comp _).symm (Category.id_comp _).symm)
@@ -207,6 +234,7 @@ theorem pullback_fst_map_snd_isPullback :
     (pullbackDiagonalMapIso f i i₁ i₂).symm (pullbackDiagonalMapIso_inv_fst f i i₁ i₂)
     (by ext1 <;> simp)
 #align category_theory.limits.pullback_fst_map_snd_is_pullback CategoryTheory.Limits.pullback_fst_map_snd_isPullback
+-/
 
 end
 
@@ -220,6 +248,7 @@ variable
   [HasPullback (diagonal i)
       (pullback.map (f ≫ i) (g ≫ i) i i f g (𝟙 _) (Category.comp_id _) (Category.comp_id _))]
 
+#print CategoryTheory.Limits.pullbackDiagonalMapIdIso /-
 /-- This iso witnesses the fact that
 given `f : X ⟶ T`, `g : Y ⟶ T`, and `i : T ⟶ S`, the diagram
 
@@ -250,7 +279,9 @@ def pullbackDiagonalMapIdIso :
   · rw [category.assoc, category.id_comp, is_iso.inv_hom_id, category.comp_id]
   · infer_instance
 #align category_theory.limits.pullback_diagonal_map_id_iso CategoryTheory.Limits.pullbackDiagonalMapIdIso
+-/
 
+#print CategoryTheory.Limits.pullbackDiagonalMapIdIso_hom_fst /-
 @[simp, reassoc.1]
 theorem pullbackDiagonalMapIdIso_hom_fst :
     (pullbackDiagonalMapIdIso f g i).Hom ≫ pullback.fst = pullback.snd ≫ pullback.fst :=
@@ -258,7 +289,9 @@ theorem pullbackDiagonalMapIdIso_hom_fst :
   delta pullback_diagonal_map_id_iso
   simp
 #align category_theory.limits.pullback_diagonal_map_id_iso_hom_fst CategoryTheory.Limits.pullbackDiagonalMapIdIso_hom_fst
+-/
 
+#print CategoryTheory.Limits.pullbackDiagonalMapIdIso_hom_snd /-
 @[simp, reassoc.1]
 theorem pullbackDiagonalMapIdIso_hom_snd :
     (pullbackDiagonalMapIdIso f g i).Hom ≫ pullback.snd = pullback.snd ≫ pullback.snd :=
@@ -266,7 +299,9 @@ theorem pullbackDiagonalMapIdIso_hom_snd :
   delta pullback_diagonal_map_id_iso
   simp
 #align category_theory.limits.pullback_diagonal_map_id_iso_hom_snd CategoryTheory.Limits.pullbackDiagonalMapIdIso_hom_snd
+-/
 
+#print CategoryTheory.Limits.pullbackDiagonalMapIdIso_inv_fst /-
 @[simp, reassoc.1]
 theorem pullbackDiagonalMapIdIso_inv_fst :
     (pullbackDiagonalMapIdIso f g i).inv ≫ pullback.fst = pullback.fst ≫ f :=
@@ -274,7 +309,9 @@ theorem pullbackDiagonalMapIdIso_inv_fst :
   rw [iso.inv_comp_eq, ← category.comp_id pullback.fst, ← diagonal_fst i, pullback.condition_assoc]
   simp
 #align category_theory.limits.pullback_diagonal_map_id_iso_inv_fst CategoryTheory.Limits.pullbackDiagonalMapIdIso_inv_fst
+-/
 
+#print CategoryTheory.Limits.pullbackDiagonalMapIdIso_inv_snd_fst /-
 @[simp, reassoc.1]
 theorem pullbackDiagonalMapIdIso_inv_snd_fst :
     (pullbackDiagonalMapIdIso f g i).inv ≫ pullback.snd ≫ pullback.fst = pullback.fst :=
@@ -282,7 +319,9 @@ theorem pullbackDiagonalMapIdIso_inv_snd_fst :
   rw [iso.inv_comp_eq]
   simp
 #align category_theory.limits.pullback_diagonal_map_id_iso_inv_snd_fst CategoryTheory.Limits.pullbackDiagonalMapIdIso_inv_snd_fst
+-/
 
+#print CategoryTheory.Limits.pullbackDiagonalMapIdIso_inv_snd_snd /-
 @[simp, reassoc.1]
 theorem pullbackDiagonalMapIdIso_inv_snd_snd :
     (pullbackDiagonalMapIdIso f g i).inv ≫ pullback.snd ≫ pullback.snd = pullback.snd :=
@@ -290,13 +329,17 @@ theorem pullbackDiagonalMapIdIso_inv_snd_snd :
   rw [iso.inv_comp_eq]
   simp
 #align category_theory.limits.pullback_diagonal_map_id_iso_inv_snd_snd CategoryTheory.Limits.pullbackDiagonalMapIdIso_inv_snd_snd
+-/
 
+#print CategoryTheory.Limits.pullback.diagonal_comp /-
 theorem pullback.diagonal_comp (f : X ⟶ Y) (g : Y ⟶ Z) [HasPullback f f] [HasPullback g g]
     [HasPullback (f ≫ g) (f ≫ g)] :
     diagonal (f ≫ g) = diagonal f ≫ (pullbackDiagonalMapIdIso f f g).inv ≫ pullback.snd := by
   ext <;> simp
 #align category_theory.limits.pullback.diagonal_comp CategoryTheory.Limits.pullback.diagonal_comp
+-/
 
+#print CategoryTheory.Limits.pullback_map_diagonal_isPullback /-
 theorem pullback_map_diagonal_isPullback :
     IsPullback (pullback.fst ≫ f)
       (pullback.map f g (f ≫ i) (g ≫ i) _ _ i (Category.id_comp _).symm (Category.id_comp _).symm)
@@ -309,7 +352,9 @@ theorem pullback_map_diagonal_isPullback :
   · constructor
     ext <;> simp [condition]
 #align category_theory.limits.pullback_map_diagonal_is_pullback CategoryTheory.Limits.pullback_map_diagonal_isPullback
+-/
 
+#print CategoryTheory.Limits.diagonalObjPullbackFstIso /-
 /-- The diagonal object of `X ×[Z] Y ⟶ X` is isomorphic to `Δ_{Y/Z} ×[Z] X`. -/
 def diagonalObjPullbackFstIso {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     diagonalObj (pullback.fst : pullback f g ⟶ X) ≅
@@ -318,7 +363,9 @@ def diagonalObjPullbackFstIso {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     pullback.congrHom pullback.condition rfl ≪≫
       pullbackAssoc _ _ _ _ ≪≫ pullbackSymmetry _ _ ≪≫ pullback.congrHom pullback.condition rfl
 #align category_theory.limits.diagonal_obj_pullback_fst_iso CategoryTheory.Limits.diagonalObjPullbackFstIso
+-/
 
+#print CategoryTheory.Limits.diagonalObjPullbackFstIso_hom_fst_fst /-
 @[simp, reassoc.1]
 theorem diagonalObjPullbackFstIso_hom_fst_fst {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (diagonalObjPullbackFstIso f g).Hom ≫ pullback.fst ≫ pullback.fst =
@@ -327,7 +374,9 @@ theorem diagonalObjPullbackFstIso_hom_fst_fst {X Y Z : C} (f : X ⟶ Z) (g : Y 
   delta diagonal_obj_pullback_fst_iso
   simp
 #align category_theory.limits.diagonal_obj_pullback_fst_iso_hom_fst_fst CategoryTheory.Limits.diagonalObjPullbackFstIso_hom_fst_fst
+-/
 
+#print CategoryTheory.Limits.diagonalObjPullbackFstIso_hom_fst_snd /-
 @[simp, reassoc.1]
 theorem diagonalObjPullbackFstIso_hom_fst_snd {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (diagonalObjPullbackFstIso f g).Hom ≫ pullback.fst ≫ pullback.snd =
@@ -336,7 +385,9 @@ theorem diagonalObjPullbackFstIso_hom_fst_snd {X Y Z : C} (f : X ⟶ Z) (g : Y 
   delta diagonal_obj_pullback_fst_iso
   simp
 #align category_theory.limits.diagonal_obj_pullback_fst_iso_hom_fst_snd CategoryTheory.Limits.diagonalObjPullbackFstIso_hom_fst_snd
+-/
 
+#print CategoryTheory.Limits.diagonalObjPullbackFstIso_hom_snd /-
 @[simp, reassoc.1]
 theorem diagonalObjPullbackFstIso_hom_snd {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (diagonalObjPullbackFstIso f g).Hom ≫ pullback.snd = pullback.fst ≫ pullback.fst :=
@@ -344,7 +395,9 @@ theorem diagonalObjPullbackFstIso_hom_snd {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z
   delta diagonal_obj_pullback_fst_iso
   simp
 #align category_theory.limits.diagonal_obj_pullback_fst_iso_hom_snd CategoryTheory.Limits.diagonalObjPullbackFstIso_hom_snd
+-/
 
+#print CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_fst_fst /-
 @[simp, reassoc.1]
 theorem diagonalObjPullbackFstIso_inv_fst_fst {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (diagonalObjPullbackFstIso f g).inv ≫ pullback.fst ≫ pullback.fst = pullback.snd :=
@@ -352,7 +405,9 @@ theorem diagonalObjPullbackFstIso_inv_fst_fst {X Y Z : C} (f : X ⟶ Z) (g : Y 
   delta diagonal_obj_pullback_fst_iso
   simp
 #align category_theory.limits.diagonal_obj_pullback_fst_iso_inv_fst_fst CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_fst_fst
+-/
 
+#print CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_fst_snd /-
 @[simp, reassoc.1]
 theorem diagonalObjPullbackFstIso_inv_fst_snd {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (diagonalObjPullbackFstIso f g).inv ≫ pullback.fst ≫ pullback.snd =
@@ -361,7 +416,9 @@ theorem diagonalObjPullbackFstIso_inv_fst_snd {X Y Z : C} (f : X ⟶ Z) (g : Y 
   delta diagonal_obj_pullback_fst_iso
   simp
 #align category_theory.limits.diagonal_obj_pullback_fst_iso_inv_fst_snd CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_fst_snd
+-/
 
+#print CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_snd_fst /-
 @[simp, reassoc.1]
 theorem diagonalObjPullbackFstIso_inv_snd_fst {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (diagonalObjPullbackFstIso f g).inv ≫ pullback.snd ≫ pullback.fst = pullback.snd :=
@@ -369,7 +426,9 @@ theorem diagonalObjPullbackFstIso_inv_snd_fst {X Y Z : C} (f : X ⟶ Z) (g : Y 
   delta diagonal_obj_pullback_fst_iso
   simp
 #align category_theory.limits.diagonal_obj_pullback_fst_iso_inv_snd_fst CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_snd_fst
+-/
 
+#print CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_snd_snd /-
 @[simp, reassoc.1]
 theorem diagonalObjPullbackFstIso_inv_snd_snd {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     (diagonalObjPullbackFstIso f g).inv ≫ pullback.snd ≫ pullback.snd =
@@ -378,7 +437,14 @@ theorem diagonalObjPullbackFstIso_inv_snd_snd {X Y Z : C} (f : X ⟶ Z) (g : Y 
   delta diagonal_obj_pullback_fst_iso
   simp
 #align category_theory.limits.diagonal_obj_pullback_fst_iso_inv_snd_snd CategoryTheory.Limits.diagonalObjPullbackFstIso_inv_snd_snd
+-/
 
+/- warning: category_theory.limits.diagonal_pullback_fst -> CategoryTheory.Limits.diagonal_pullback_fst is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.diagonal_pullback_fst CategoryTheory.Limits.diagonal_pullback_fstₓ'. -/
 theorem diagonal_pullback_fst {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     diagonal (pullback.fst : pullback f g ⟶ _) =
       (pullbackSymmetry _ _).Hom ≫
@@ -390,6 +456,7 @@ theorem diagonal_pullback_fst {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
 
 end
 
+#print CategoryTheory.Limits.pullbackFstFstIso /-
 /-- Given the following diagram with `S ⟶ S'` a monomorphism,
 
     X  ⟶ X'
@@ -437,7 +504,9 @@ def pullbackFstFstIso {X Y S X' Y' S' : C} (f : X ⟶ S) (g : Y ⟶ S) (f' : X'
       simp only [category.assoc, category.id_comp, lift_fst, lift_snd, lift_fst_assoc,
         lift_snd_assoc]
 #align category_theory.limits.pullback_fst_fst_iso CategoryTheory.Limits.pullbackFstFstIso
+-/
 
+#print CategoryTheory.Limits.pullback_map_eq_pullbackFstFstIso_inv /-
 theorem pullback_map_eq_pullbackFstFstIso_inv {X Y S X' Y' S' : C} (f : X ⟶ S) (g : Y ⟶ S)
     (f' : X' ⟶ S') (g' : Y' ⟶ S') (i₁ : X ⟶ X') (i₂ : Y ⟶ Y') (i₃ : S ⟶ S') (e₁ : f ≫ i₃ = i₁ ≫ f')
     (e₂ : g ≫ i₃ = i₂ ≫ g') [Mono i₃] :
@@ -448,7 +517,9 @@ theorem pullback_map_eq_pullbackFstFstIso_inv {X Y S X' Y' S' : C} (f : X ⟶ S)
     simp only [category.assoc, category.id_comp, lift_fst, lift_snd, lift_fst_assoc, lift_snd_assoc,
       pullback_fst_fst_iso_inv, ← pullback.condition, ← pullback.condition_assoc]
 #align category_theory.limits.pullback_map_eq_pullback_fst_fst_iso_inv CategoryTheory.Limits.pullback_map_eq_pullbackFstFstIso_inv
+-/
 
+#print CategoryTheory.Limits.pullback_lift_map_isPullback /-
 theorem pullback_lift_map_isPullback {X Y S X' Y' S' : C} (f : X ⟶ S) (g : Y ⟶ S) (f' : X' ⟶ S')
     (g' : Y' ⟶ S') (i₁ : X ⟶ X') (i₂ : Y ⟶ Y') (i₃ : S ⟶ S') (e₁ : f ≫ i₃ = i₁ ≫ f')
     (e₂ : g ≫ i₃ = i₂ ≫ g') [Mono i₃] :
@@ -458,6 +529,7 @@ theorem pullback_lift_map_isPullback {X Y S X' Y' S' : C} (f : X ⟶ S) (g : Y 
   IsPullback.of_iso_pullback ⟨by rw [lift_fst, lift_fst]⟩
     (pullbackFstFstIso f g f' g' i₁ i₂ i₃ e₁ e₂).symm (by simp) (by simp)
 #align category_theory.limits.pullback_lift_map_is_pullback CategoryTheory.Limits.pullback_lift_map_isPullback
+-/
 
 end CategoryTheory.Limits

f6bab678

bump to nightly-2023-02-27-08

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

91d8c210

Diff

@@ -71,7 +71,7 @@ instance [Mono f] : IsIso (diagonal f) :=
 
 /-- The two projections `Δ_{X/Y} ⟶ X` form a kernel pair for `f : X ⟶ Y`. -/
 theorem diagonal_isKernelPair : IsKernelPair f (pullback.fst : diagonalObj f ⟶ _) pullback.snd :=
-  IsPullback.ofHasPullback f f
+  IsPullback.of_hasPullback f f
 #align category_theory.limits.pullback.diagonal_is_kernel_pair CategoryTheory.Limits.pullback.diagonal_isKernelPair
 
 end Diagonal
@@ -197,16 +197,16 @@ theorem pullbackDiagonalMapIso_inv_snd_snd :
   simp
 #align category_theory.limits.pullback_diagonal_map_iso_inv_snd_snd CategoryTheory.Limits.pullbackDiagonalMapIso_inv_snd_snd
 
-theorem pullbackFstMapSndIsPullback :
+theorem pullback_fst_map_snd_isPullback :
     IsPullback (fst ≫ i₁ ≫ fst)
       (map i₁ i₂ (i₁ ≫ snd) (i₂ ≫ snd) _ _ _ (Category.id_comp _).symm (Category.id_comp _).symm)
       (diagonal f)
       (map (i₁ ≫ snd) (i₂ ≫ snd) f f (i₁ ≫ fst) (i₂ ≫ fst) i (by simp [condition])
         (by simp [condition])) :=
-  IsPullback.ofIsoPullback ⟨by ext <;> simp [condition_assoc]⟩
+  IsPullback.of_iso_pullback ⟨by ext <;> simp [condition_assoc]⟩
     (pullbackDiagonalMapIso f i i₁ i₂).symm (pullbackDiagonalMapIso_inv_fst f i i₁ i₂)
     (by ext1 <;> simp)
-#align category_theory.limits.pullback_fst_map_snd_is_pullback CategoryTheory.Limits.pullbackFstMapSndIsPullback
+#align category_theory.limits.pullback_fst_map_snd_is_pullback CategoryTheory.Limits.pullback_fst_map_snd_isPullback
 
 end
 
@@ -297,7 +297,7 @@ theorem pullback.diagonal_comp (f : X ⟶ Y) (g : Y ⟶ Z) [HasPullback f f] [Ha
   ext <;> simp
 #align category_theory.limits.pullback.diagonal_comp CategoryTheory.Limits.pullback.diagonal_comp
 
-theorem pullbackMapDiagonalIsPullback :
+theorem pullback_map_diagonal_isPullback :
     IsPullback (pullback.fst ≫ f)
       (pullback.map f g (f ≫ i) (g ≫ i) _ _ i (Category.id_comp _).symm (Category.id_comp _).symm)
       (diagonal i)
@@ -308,7 +308,7 @@ theorem pullbackMapDiagonalIsPullback :
   · ext <;> simp
   · constructor
     ext <;> simp [condition]
-#align category_theory.limits.pullback_map_diagonal_is_pullback CategoryTheory.Limits.pullbackMapDiagonalIsPullback
+#align category_theory.limits.pullback_map_diagonal_is_pullback CategoryTheory.Limits.pullback_map_diagonal_isPullback
 
 /-- The diagonal object of `X ×[Z] Y ⟶ X` is isomorphic to `Δ_{Y/Z} ×[Z] X`. -/
 def diagonalObjPullbackFstIso {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
@@ -449,15 +449,15 @@ theorem pullback_map_eq_pullbackFstFstIso_inv {X Y S X' Y' S' : C} (f : X ⟶ S)
       pullback_fst_fst_iso_inv, ← pullback.condition, ← pullback.condition_assoc]
 #align category_theory.limits.pullback_map_eq_pullback_fst_fst_iso_inv CategoryTheory.Limits.pullback_map_eq_pullbackFstFstIso_inv
 
-theorem pullbackLiftMapIsPullback {X Y S X' Y' S' : C} (f : X ⟶ S) (g : Y ⟶ S) (f' : X' ⟶ S')
+theorem pullback_lift_map_isPullback {X Y S X' Y' S' : C} (f : X ⟶ S) (g : Y ⟶ S) (f' : X' ⟶ S')
     (g' : Y' ⟶ S') (i₁ : X ⟶ X') (i₂ : Y ⟶ Y') (i₃ : S ⟶ S') (e₁ : f ≫ i₃ = i₁ ≫ f')
     (e₂ : g ≫ i₃ = i₂ ≫ g') [Mono i₃] :
     IsPullback (pullback.lift (pullback.map f g f' g' i₁ i₂ i₃ e₁ e₂) fst (lift_fst _ _ _))
       (pullback.lift (pullback.map f g f' g' i₁ i₂ i₃ e₁ e₂) snd (lift_snd _ _ _)) pullback.fst
       pullback.fst :=
-  IsPullback.ofIsoPullback ⟨by rw [lift_fst, lift_fst]⟩
+  IsPullback.of_iso_pullback ⟨by rw [lift_fst, lift_fst]⟩
     (pullbackFstFstIso f g f' g' i₁ i₂ i₃ e₁ e₂).symm (by simp) (by simp)
-#align category_theory.limits.pullback_lift_map_is_pullback CategoryTheory.Limits.pullbackLiftMapIsPullback
+#align category_theory.limits.pullback_lift_map_is_pullback CategoryTheory.Limits.pullback_lift_map_isPullback
 
 end CategoryTheory.Limits

f6bab678

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

f6bab678

chore: replace refine' that already have a ?_ (#12261)

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

94b44d32

Diff

@@ -221,13 +221,14 @@ def pullbackDiagonalMapIdIso :
       pullback f g := by
   refine' _ ≪≫
     pullbackDiagonalMapIso i (𝟙 _) (f ≫ inv pullback.fst) (g ≫ inv pullback.fst) ≪≫ _
-  · refine' @asIso _ _ _ _ (pullback.map _ _ _ _ (𝟙 T) ((pullback.congrHom _ _).hom) (𝟙 _) _ _) ?_
+  · refine @asIso _ _ _ _ (pullback.map _ _ _ _ (𝟙 T) ((pullback.congrHom ?_ ?_).hom) (𝟙 _) ?_ ?_)
+      ?_
     · rw [← Category.comp_id pullback.snd, ← condition, Category.assoc, IsIso.inv_hom_id_assoc]
     · rw [← Category.comp_id pullback.snd, ← condition, Category.assoc, IsIso.inv_hom_id_assoc]
     · rw [Category.comp_id, Category.id_comp]
     · ext <;> simp
     · infer_instance
-  · refine' @asIso _ _ _ _ (pullback.map _ _ _ _ (𝟙 _) (𝟙 _) pullback.fst _ _) ?_
+  · refine @asIso _ _ _ _ (pullback.map _ _ _ _ (𝟙 _) (𝟙 _) pullback.fst ?_ ?_) ?_
     · rw [Category.assoc, IsIso.inv_hom_id, Category.comp_id, Category.id_comp]
     · rw [Category.assoc, IsIso.inv_hom_id, Category.comp_id, Category.id_comp]
     · infer_instance

f6bab678

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

Empty lines were removed by executing the following Python script twice

import os
import re


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

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

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

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

75c86f04

Diff

@@ -81,7 +81,6 @@ open pullback
 section
 
 variable {U V₁ V₂ : C} (f : X ⟶ Y) (i : U ⟶ Y)
-
 variable (i₁ : V₁ ⟶ pullback f i) (i₂ : V₂ ⟶ pullback f i)
 
 @[reassoc (attr := simp)]
@@ -199,9 +198,7 @@ end
 section
 
 variable {S T : C} (f : X ⟶ T) (g : Y ⟶ T) (i : T ⟶ S)
-
 variable [HasPullback i i] [HasPullback f g] [HasPullback (f ≫ i) (g ≫ i)]
-
 variable
   [HasPullback (diagonal i)
       (pullback.map (f ≫ i) (g ≫ i) i i f g (𝟙 _) (Category.comp_id _) (Category.comp_id _))]

f6bab678

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

@@ -24,7 +24,7 @@ noncomputable section
 
 namespace CategoryTheory.Limits
 
-variable {C : Type _} [Category C] {X Y Z : C}
+variable {C : Type*} [Category C] {X Y Z : C}
 
 namespace pullback

f6bab678

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

@@ -2,16 +2,13 @@
 Copyright (c) 2022 Andrew Yang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Andrew Yang
-
-! This file was ported from Lean 3 source module category_theory.limits.shapes.diagonal
-! leanprover-community/mathlib commit f6bab67886fb92c3e2f539cc90a83815f69a189d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Limits.Shapes.Pullbacks
 import Mathlib.CategoryTheory.Limits.Shapes.KernelPair
 import Mathlib.CategoryTheory.Limits.Shapes.CommSq
 
+#align_import category_theory.limits.shapes.diagonal from "leanprover-community/mathlib"@"f6bab67886fb92c3e2f539cc90a83815f69a189d"
+
 /-!
 # The diagonal object of a morphism.

f6bab678

chore: cleanup whitespace (#5988)

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

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

12343aa5

Diff

@@ -123,7 +123,7 @@ V₁ ×[X ×[Y] U] V₂ ⟶ V₁ ×[U] V₂
         |                 |
         |                 |
         ↓                 ↓
-        X         ⟶  X ×[Y] X
+        X        ⟶ X ×[Y] X
 
 is a pullback square.
 Also see `pullback_fst_map_snd_isPullback`.
@@ -213,10 +213,10 @@ variable
 given `f : X ⟶ T`, `g : Y ⟶ T`, and `i : T ⟶ S`, the diagram
 
 X ×ₜ Y ⟶ X ×ₛ Y
-   |         |
-   |         |
-   ↓         ↓
-   T   ⟶ T ×ₛ T
+  |         |
+  |         |
+  ↓         ↓
+  T  ⟶  T ×ₛ T
 
 is a pullback square.
 Also see `pullback_map_diagonal_isPullback`.
@@ -367,11 +367,11 @@ end
 
 /-- Given the following diagram with `S ⟶ S'` a monomorphism,
 
-    X  ⟶ X'
+    X ⟶ X'
       ↘      ↘
-        S  ⟶ S'
+        S ⟶ S'
       ↗      ↗
-    Y  ⟶ Y'
+    Y ⟶ Y'
 
 This iso witnesses the fact that

f6bab678

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

@@ -137,16 +137,16 @@ def pullbackDiagonalMapIso :
   hom :=
     pullback.lift (pullback.snd ≫ pullback.fst) (pullback.snd ≫ pullback.snd) (by
       ext
-      . simp [Category.assoc, pullback_diagonal_map_snd_fst_fst, pullback_diagonal_map_snd_snd_fst]
-      . simp [Category.assoc, pullback.condition, pullback.condition_assoc])
+      · simp [Category.assoc, pullback_diagonal_map_snd_fst_fst, pullback_diagonal_map_snd_snd_fst]
+      · simp [Category.assoc, pullback.condition, pullback.condition_assoc])
   inv :=
     pullback.lift (pullback.fst ≫ i₁ ≫ pullback.fst)
       (pullback.map _ _ _ _ (𝟙 _) (𝟙 _) pullback.snd (Category.id_comp _).symm
         (Category.id_comp _).symm) (by
         ext
-        . simp only [Category.assoc, diagonal_fst, Category.comp_id, limit.lift_π,
+        · simp only [Category.assoc, diagonal_fst, Category.comp_id, limit.lift_π,
             PullbackCone.mk_pt, PullbackCone.mk_π_app, limit.lift_π_assoc, cospan_left]
-        . simp only [condition_assoc, Category.assoc, diagonal_snd, Category.comp_id,
+        · simp only [condition_assoc, Category.assoc, diagonal_snd, Category.comp_id,
             limit.lift_π, PullbackCone.mk_pt, PullbackCone.mk_π_app,
             limit.lift_π_assoc, cospan_right])
 #align category_theory.limits.pullback_diagonal_map_iso CategoryTheory.Limits.pullbackDiagonalMapIso
@@ -227,16 +227,16 @@ def pullbackDiagonalMapIdIso :
       pullback f g := by
   refine' _ ≪≫
     pullbackDiagonalMapIso i (𝟙 _) (f ≫ inv pullback.fst) (g ≫ inv pullback.fst) ≪≫ _
-  . refine' @asIso _ _ _ _ (pullback.map _ _ _ _ (𝟙 T) ((pullback.congrHom _ _).hom) (𝟙 _) _ _) ?_
-    . rw [← Category.comp_id pullback.snd, ← condition, Category.assoc, IsIso.inv_hom_id_assoc]
-    . rw [← Category.comp_id pullback.snd, ← condition, Category.assoc, IsIso.inv_hom_id_assoc]
+  · refine' @asIso _ _ _ _ (pullback.map _ _ _ _ (𝟙 T) ((pullback.congrHom _ _).hom) (𝟙 _) _ _) ?_
+    · rw [← Category.comp_id pullback.snd, ← condition, Category.assoc, IsIso.inv_hom_id_assoc]
+    · rw [← Category.comp_id pullback.snd, ← condition, Category.assoc, IsIso.inv_hom_id_assoc]
     · rw [Category.comp_id, Category.id_comp]
-    . ext <;> simp
-    . infer_instance
-  . refine' @asIso _ _ _ _ (pullback.map _ _ _ _ (𝟙 _) (𝟙 _) pullback.fst _ _) ?_
-    . rw [Category.assoc, IsIso.inv_hom_id, Category.comp_id, Category.id_comp]
-    . rw [Category.assoc, IsIso.inv_hom_id, Category.comp_id, Category.id_comp]
-    . infer_instance
+    · ext <;> simp
+    · infer_instance
+  · refine' @asIso _ _ _ _ (pullback.map _ _ _ _ (𝟙 _) (𝟙 _) pullback.fst _ _) ?_
+    · rw [Category.assoc, IsIso.inv_hom_id, Category.comp_id, Category.id_comp]
+    · rw [Category.assoc, IsIso.inv_hom_id, Category.comp_id, Category.id_comp]
+    · infer_instance
 #align category_theory.limits.pullback_diagonal_map_id_iso CategoryTheory.Limits.pullbackDiagonalMapIdIso
 
 @[reassoc (attr := simp)]
@@ -407,24 +407,24 @@ def pullbackFstFstIso {X Y S X' Y' S' : C} (f : X ⟶ S) (g : Y ⟶ S) (f' : X'
     -- We could use `ext` here to immediately descend to the leaf goals,
     -- but it only obscures the structure.
     apply pullback.hom_ext
-    . apply pullback.hom_ext
-      . apply pullback.hom_ext
-        . simp only [Category.assoc, lift_fst, lift_fst_assoc, Category.id_comp]
+    · apply pullback.hom_ext
+      · apply pullback.hom_ext
+        · simp only [Category.assoc, lift_fst, lift_fst_assoc, Category.id_comp]
           rw [condition]
-        . simp [Category.assoc, lift_snd]
+        · simp [Category.assoc, lift_snd]
           rw [condition_assoc, condition]
-      . simp only [Category.assoc, lift_fst_assoc, lift_snd, lift_fst, Category.id_comp]
-    . apply pullback.hom_ext
-      . apply pullback.hom_ext
-        . simp only [Category.assoc, lift_snd_assoc, lift_fst_assoc, lift_fst, Category.id_comp]
+      · simp only [Category.assoc, lift_fst_assoc, lift_snd, lift_fst, Category.id_comp]
+    · apply pullback.hom_ext
+      · apply pullback.hom_ext
+        · simp only [Category.assoc, lift_snd_assoc, lift_fst_assoc, lift_fst, Category.id_comp]
           rw [← condition_assoc, condition]
-        . simp only [Category.assoc, lift_snd, lift_fst_assoc, lift_snd_assoc, Category.id_comp]
+        · simp only [Category.assoc, lift_snd, lift_fst_assoc, lift_snd_assoc, Category.id_comp]
           rw [condition]
-      . simp only [Category.assoc, lift_snd_assoc, lift_snd, Category.id_comp]
+      · simp only [Category.assoc, lift_snd_assoc, lift_snd, Category.id_comp]
   inv_hom_id := by
     apply pullback.hom_ext
-    . simp only [Category.assoc, lift_fst, lift_fst_assoc, lift_snd, Category.id_comp]
-    . simp only [Category.assoc, lift_snd, lift_snd_assoc, Category.id_comp]
+    · simp only [Category.assoc, lift_fst, lift_fst_assoc, lift_snd, Category.id_comp]
+    · simp only [Category.assoc, lift_snd, lift_snd_assoc, Category.id_comp]
 #align category_theory.limits.pullback_fst_fst_iso CategoryTheory.Limits.pullbackFstFstIso
 
 theorem pullback_map_eq_pullbackFstFstIso_inv {X Y S X' Y' S' : C} (f : X ⟶ S) (g : Y ⟶ S)

f6bab678

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

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

dbae2f17

Diff

@@ -277,7 +277,7 @@ theorem pullbackDiagonalMapIdIso_inv_snd_snd :
 theorem pullback.diagonal_comp (f : X ⟶ Y) (g : Y ⟶ Z) [HasPullback f f] [HasPullback g g]
     [HasPullback (f ≫ g) (f ≫ g)] :
     diagonal (f ≫ g) = diagonal f ≫ (pullbackDiagonalMapIdIso f f g).inv ≫ pullback.snd := by
-  apply pullback.hom_ext <;> simp
+  ext <;> simp
 #align category_theory.limits.pullback.diagonal_comp CategoryTheory.Limits.pullback.diagonal_comp
 
 theorem pullback_map_diagonal_isPullback :
@@ -287,9 +287,9 @@ theorem pullback_map_diagonal_isPullback :
       (pullback.map (f ≫ i) (g ≫ i) i i f g (𝟙 _) (Category.comp_id _) (Category.comp_id _)) := by
   apply IsPullback.of_iso_pullback _ (pullbackDiagonalMapIdIso f g i).symm
   · simp
-  · apply pullback.hom_ext <;> simp
+  · ext <;> simp
   · constructor
-    apply pullback.hom_ext <;> simp [condition]
+    ext <;> simp [condition]
 #align category_theory.limits.pullback_map_diagonal_is_pullback CategoryTheory.Limits.pullback_map_diagonal_isPullback
 
 /-- The diagonal object of `X ×[Z] Y ⟶ X` is isomorphic to `Δ_{Y/Z} ×[Z] X`. -/
@@ -360,7 +360,7 @@ theorem diagonal_pullback_fst {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
         ((baseChange f).map
               (Over.homMk (diagonal g) : Over.mk g ⟶ Over.mk (pullback.snd ≫ g))).left ≫
           (diagonalObjPullbackFstIso f g).inv := by
-  apply pullback.hom_ext <;> apply pullback.hom_ext <;> dsimp <;> simp
+  ext <;> dsimp <;> simp
 #align category_theory.limits.diagonal_pullback_fst CategoryTheory.Limits.diagonal_pullback_fst
 
 end
@@ -404,6 +404,8 @@ def pullbackFstFstIso {X Y S X' Y' S' : C} (f : X ⟶ S) (g : Y ⟶ S) (f' : X'
       (pullback.lift (pullback.map _ _ _ _ _ _ _ e₁ e₂) pullback.snd (pullback.lift_snd _ _ _))
       (by rw [pullback.lift_fst, pullback.lift_fst])
   hom_inv_id := by
+    -- We could use `ext` here to immediately descend to the leaf goals,
+    -- but it only obscures the structure.
     apply pullback.hom_ext
     . apply pullback.hom_ext
       . apply pullback.hom_ext

f6bab678

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

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

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

5b958613

Diff

@@ -358,7 +358,7 @@ theorem diagonal_pullback_fst {X Y Z : C} (f : X ⟶ Z) (g : Y ⟶ Z) :
     diagonal (pullback.fst : pullback f g ⟶ _) =
       (pullbackSymmetry _ _).hom ≫
         ((baseChange f).map
-              (Over.homMk (diagonal g) (by simp) : Over.mk g ⟶ Over.mk (pullback.snd ≫ g))).left ≫
+              (Over.homMk (diagonal g) : Over.mk g ⟶ Over.mk (pullback.snd ≫ g))).left ≫
           (diagonalObjPullbackFstIso f g).inv := by
   apply pullback.hom_ext <;> apply pullback.hom_ext <;> dsimp <;> simp
 #align category_theory.limits.diagonal_pullback_fst CategoryTheory.Limits.diagonal_pullback_fst

f6bab678

feat: port CategoryTheory.Limits.Shapes.Diagonal (#2881)

896bc69b

`category_theory.limits.shapes.diagonal` ⟷ `Mathlib.CategoryTheory.Limits.Shapes.Diagonal`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 2 + 253

category_theory.limits.shapes.diagonal ⟷ Mathlib.CategoryTheory.Limits.Shapes.Diagonal

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 2 + 253

`category_theory.limits.shapes.diagonal` ⟷ `Mathlib.CategoryTheory.Limits.Shapes.Diagonal`