category_theory.glue_data | Mathlib porting status

Changes since the initial port

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

Changes in mathlib3

14b69e9f

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

31ca6f9c

bump to nightly-2024-03-17-08

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

22f01ce4

Diff

@@ -82,9 +82,9 @@ theorem t'_iij (i j : D.J) : D.t' i i j = (pullbackSymmetry _ _).Hom :=
   by
   have eq₁ := D.t_fac i i j
   have eq₂ := (is_iso.eq_comp_inv (D.f i i)).mpr (@pullback.condition _ _ _ _ _ _ (D.f i j) _)
-  rw [D.t_id, category.comp_id, eq₂] at eq₁ 
+  rw [D.t_id, category.comp_id, eq₂] at eq₁
   have eq₃ := (is_iso.eq_comp_inv (D.f i i)).mp eq₁
-  rw [category.assoc, ← pullback.condition, ← category.assoc] at eq₃ 
+  rw [category.assoc, ← pullback.condition, ← category.assoc] at eq₃
   exact
     mono.right_cancellation _ _
       ((mono.right_cancellation _ _ eq₃).trans (pullback_symmetry_hom_comp_fst _ _).symm)
@@ -109,9 +109,9 @@ theorem t_inv (i j : D.J) : D.t i j ≫ D.t j i = 𝟙 _ :=
   by
   have eq : (pullback_symmetry (D.f i i) (D.f i j)).Hom = pullback.snd ≫ inv pullback.fst := by simp
   have := D.cocycle i j i
-  rw [D.t'_iij, D.t'_jii, D.t'_iji, fst_eq_snd_of_mono_eq, Eq] at this 
-  simp only [category.assoc, is_iso.inv_hom_id_assoc] at this 
-  rw [← is_iso.eq_inv_comp, ← category.assoc, is_iso.comp_inv_eq] at this 
+  rw [D.t'_iij, D.t'_jii, D.t'_iji, fst_eq_snd_of_mono_eq, Eq] at this
+  simp only [category.assoc, is_iso.inv_hom_id_assoc] at this
+  rw [← is_iso.eq_inv_comp, ← category.assoc, is_iso.comp_inv_eq] at this
   simpa using this
 #align category_theory.glue_data.t_inv CategoryTheory.GlueData.t_inv
 -/
@@ -467,8 +467,8 @@ theorem ι_jointly_surjective (F : C ⥤ Type v) [PreservesColimit D.diagram.mul
   let e := D.glued_iso F
   obtain ⟨i, y, eq⟩ := (D.map_glue_data F).types_ι_jointly_surjective (e.hom x)
   replace eq := congr_arg e.inv Eq
-  change ((D.map_glue_data F).ι i ≫ e.inv) y = (e.hom ≫ e.inv) x at eq 
-  rw [e.hom_inv_id, D.ι_glued_iso_inv] at eq 
+  change ((D.map_glue_data F).ι i ≫ e.inv) y = (e.hom ≫ e.inv) x at eq
+  rw [e.hom_inv_id, D.ι_glued_iso_inv] at eq
   exact ⟨i, y, Eq⟩
 #align category_theory.glue_data.ι_jointly_surjective CategoryTheory.GlueData.ι_jointly_surjective
 -/

31ca6f9c

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,11 +3,11 @@ Copyright (c) 2021 Andrew Yang. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Andrew Yang
 -/
-import Mathbin.Tactic.Elementwise
-import Mathbin.CategoryTheory.Limits.Shapes.Multiequalizer
-import Mathbin.CategoryTheory.Limits.Constructions.EpiMono
-import Mathbin.CategoryTheory.Limits.Preserves.Limits
-import Mathbin.CategoryTheory.Limits.Shapes.Types
+import Tactic.Elementwise
+import CategoryTheory.Limits.Shapes.Multiequalizer
+import CategoryTheory.Limits.Constructions.EpiMono
+import CategoryTheory.Limits.Preserves.Limits
+import CategoryTheory.Limits.Shapes.Types
 
 #align_import category_theory.glue_data from "leanprover-community/mathlib"@"31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0"

31ca6f9c

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,11 +2,6 @@
 Copyright (c) 2021 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.glue_data
-! leanprover-community/mathlib commit 31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Tactic.Elementwise
 import Mathbin.CategoryTheory.Limits.Shapes.Multiequalizer
@@ -14,6 +9,8 @@ import Mathbin.CategoryTheory.Limits.Constructions.EpiMono
 import Mathbin.CategoryTheory.Limits.Preserves.Limits
 import Mathbin.CategoryTheory.Limits.Shapes.Types
 
+#align_import category_theory.glue_data from "leanprover-community/mathlib"@"31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0"
+
 /-!
 # Gluing data

31ca6f9c

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -304,8 +304,6 @@ theorem types_ι_jointly_surjective (D : GlueData (Type _)) (x : D.glued) :
 
 variable (F : C ⥤ C') [H : ∀ i j k, PreservesLimit (cospan (D.f i j) (D.f i k)) F]
 
-include H
-
 instance (i j k : D.J) : HasPullback (F.map (D.f i j)) (F.map (D.f i k)) :=
   ⟨⟨⟨_, isLimitOfHasPullbackOfPreservesLimit F (D.f i j) (D.f i k)⟩⟩⟩
 
@@ -350,54 +348,62 @@ def diagramIso : D.diagram.multispan ⋙ F ≅ (D.mapGlueData F).diagram.multisp
 #align category_theory.glue_data.diagram_iso CategoryTheory.GlueData.diagramIso
 -/
 
+#print CategoryTheory.GlueData.diagramIso_app_left /-
 @[simp]
 theorem diagramIso_app_left (i : D.J × D.J) :
     (D.diagramIso F).app (WalkingMultispan.left i) = Iso.refl _ :=
   rfl
 #align category_theory.glue_data.diagram_iso_app_left CategoryTheory.GlueData.diagramIso_app_left
+-/
 
+#print CategoryTheory.GlueData.diagramIso_app_right /-
 @[simp]
 theorem diagramIso_app_right (i : D.J) :
     (D.diagramIso F).app (WalkingMultispan.right i) = Iso.refl _ :=
   rfl
 #align category_theory.glue_data.diagram_iso_app_right CategoryTheory.GlueData.diagramIso_app_right
+-/
 
+#print CategoryTheory.GlueData.diagramIso_hom_app_left /-
 @[simp]
 theorem diagramIso_hom_app_left (i : D.J × D.J) :
     (D.diagramIso F).Hom.app (WalkingMultispan.left i) = 𝟙 _ :=
   rfl
 #align category_theory.glue_data.diagram_iso_hom_app_left CategoryTheory.GlueData.diagramIso_hom_app_left
+-/
 
+#print CategoryTheory.GlueData.diagramIso_hom_app_right /-
 @[simp]
 theorem diagramIso_hom_app_right (i : D.J) :
     (D.diagramIso F).Hom.app (WalkingMultispan.right i) = 𝟙 _ :=
   rfl
 #align category_theory.glue_data.diagram_iso_hom_app_right CategoryTheory.GlueData.diagramIso_hom_app_right
+-/
 
+#print CategoryTheory.GlueData.diagramIso_inv_app_left /-
 @[simp]
 theorem diagramIso_inv_app_left (i : D.J × D.J) :
     (D.diagramIso F).inv.app (WalkingMultispan.left i) = 𝟙 _ :=
   rfl
 #align category_theory.glue_data.diagram_iso_inv_app_left CategoryTheory.GlueData.diagramIso_inv_app_left
+-/
 
+#print CategoryTheory.GlueData.diagramIso_inv_app_right /-
 @[simp]
 theorem diagramIso_inv_app_right (i : D.J) :
     (D.diagramIso F).inv.app (WalkingMultispan.right i) = 𝟙 _ :=
   rfl
 #align category_theory.glue_data.diagram_iso_inv_app_right CategoryTheory.GlueData.diagramIso_inv_app_right
+-/
 
 variable [HasMulticoequalizer D.diagram] [PreservesColimit D.diagram.multispan F]
 
-omit H
-
 #print CategoryTheory.GlueData.hasColimit_multispan_comp /-
 theorem hasColimit_multispan_comp : HasColimit (D.diagram.multispan ⋙ F) :=
   ⟨⟨⟨_, PreservesColimit.preserves (colimit.isColimit _)⟩⟩⟩
 #align category_theory.glue_data.has_colimit_multispan_comp CategoryTheory.GlueData.hasColimit_multispan_comp
 -/
 
-include H
-
 attribute [local instance] has_colimit_multispan_comp
 
 #print CategoryTheory.GlueData.hasColimit_mapGlueData_diagram /-
@@ -408,22 +414,28 @@ theorem hasColimit_mapGlueData_diagram : HasMulticoequalizer (D.mapGlueData F).d
 
 attribute [local instance] has_colimit_map_glue_data_diagram
 
+#print CategoryTheory.GlueData.gluedIso /-
 /-- If `F` preserves the gluing, we obtain an iso between the glued objects. -/
 def gluedIso : F.obj D.glued ≅ (D.mapGlueData F).glued :=
   preservesColimitIso F D.diagram.multispan ≪≫ Limits.HasColimit.isoOfNatIso (D.diagramIso F)
 #align category_theory.glue_data.glued_iso CategoryTheory.GlueData.gluedIso
+-/
 
+#print CategoryTheory.GlueData.ι_gluedIso_hom /-
 @[simp, reassoc]
 theorem ι_gluedIso_hom (i : D.J) : F.map (D.ι i) ≫ (D.gluedIso F).Hom = (D.mapGlueData F).ι i :=
   by
   erw [ι_preserves_colimits_iso_hom_assoc]; rw [has_colimit.iso_of_nat_iso_ι_hom]
   erw [category.id_comp]; rfl
 #align category_theory.glue_data.ι_glued_iso_hom CategoryTheory.GlueData.ι_gluedIso_hom
+-/
 
+#print CategoryTheory.GlueData.ι_gluedIso_inv /-
 @[simp, reassoc]
 theorem ι_gluedIso_inv (i : D.J) : (D.mapGlueData F).ι i ≫ (D.gluedIso F).inv = F.map (D.ι i) := by
   rw [iso.comp_inv_eq, ι_glued_iso_hom]
 #align category_theory.glue_data.ι_glued_iso_inv CategoryTheory.GlueData.ι_gluedIso_inv
+-/
 
 #print CategoryTheory.GlueData.vPullbackConeIsLimitOfMap /-
 /-- If `F` preserves the gluing, and reflects the pullback of `U i ⟶ glued` and `U j ⟶ glued`,
@@ -448,8 +460,7 @@ def vPullbackConeIsLimitOfMap (i j : D.J) [ReflectsLimit (cospan (D.ι i) (D.ι
 #align category_theory.glue_data.V_pullback_cone_is_limit_of_map CategoryTheory.GlueData.vPullbackConeIsLimitOfMap
 -/
 
-omit H
-
+#print CategoryTheory.GlueData.ι_jointly_surjective /-
 /-- If there is a forgetful functor into `Type` that preserves enough (co)limits, then `D.ι` will
 be jointly surjective. -/
 theorem ι_jointly_surjective (F : C ⥤ Type v) [PreservesColimit D.diagram.multispan F]
@@ -463,6 +474,7 @@ theorem ι_jointly_surjective (F : C ⥤ Type v) [PreservesColimit D.diagram.mul
   rw [e.hom_inv_id, D.ι_glued_iso_inv] at eq 
   exact ⟨i, y, Eq⟩
 #align category_theory.glue_data.ι_jointly_surjective CategoryTheory.GlueData.ι_jointly_surjective
+-/
 
 end GlueData

31ca6f9c

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -85,9 +85,9 @@ theorem t'_iij (i j : D.J) : D.t' i i j = (pullbackSymmetry _ _).Hom :=
   by
   have eq₁ := D.t_fac i i j
   have eq₂ := (is_iso.eq_comp_inv (D.f i i)).mpr (@pullback.condition _ _ _ _ _ _ (D.f i j) _)
-  rw [D.t_id, category.comp_id, eq₂] at eq₁
+  rw [D.t_id, category.comp_id, eq₂] at eq₁ 
   have eq₃ := (is_iso.eq_comp_inv (D.f i i)).mp eq₁
-  rw [category.assoc, ← pullback.condition, ← category.assoc] at eq₃
+  rw [category.assoc, ← pullback.condition, ← category.assoc] at eq₃ 
   exact
     mono.right_cancellation _ _
       ((mono.right_cancellation _ _ eq₃).trans (pullback_symmetry_hom_comp_fst _ _).symm)
@@ -112,9 +112,9 @@ theorem t_inv (i j : D.J) : D.t i j ≫ D.t j i = 𝟙 _ :=
   by
   have eq : (pullback_symmetry (D.f i i) (D.f i j)).Hom = pullback.snd ≫ inv pullback.fst := by simp
   have := D.cocycle i j i
-  rw [D.t'_iij, D.t'_jii, D.t'_iji, fst_eq_snd_of_mono_eq, Eq] at this
-  simp only [category.assoc, is_iso.inv_hom_id_assoc] at this
-  rw [← is_iso.eq_inv_comp, ← category.assoc, is_iso.comp_inv_eq] at this
+  rw [D.t'_iij, D.t'_jii, D.t'_iji, fst_eq_snd_of_mono_eq, Eq] at this 
+  simp only [category.assoc, is_iso.inv_hom_id_assoc] at this 
+  rw [← is_iso.eq_inv_comp, ← category.assoc, is_iso.comp_inv_eq] at this 
   simpa using this
 #align category_theory.glue_data.t_inv CategoryTheory.GlueData.t_inv
 -/
@@ -287,7 +287,7 @@ theorem types_π_surjective (D : GlueData (Type _)) : Function.Surjective D.π :
 
 #print CategoryTheory.GlueData.types_ι_jointly_surjective /-
 theorem types_ι_jointly_surjective (D : GlueData (Type _)) (x : D.glued) :
-    ∃ (i : _)(y : D.U i), D.ι i y = x :=
+    ∃ (i : _) (y : D.U i), D.ι i y = x :=
   by
   delta CategoryTheory.GlueData.ι
   simp_rw [← multicoequalizer.ι_sigma_π D.diagram]
@@ -298,7 +298,7 @@ theorem types_ι_jointly_surjective (D : GlueData (Type _)) (x : D.glued) :
       concrete_category.congr_hom
         (colimit.iso_colimit_cocone (types.coproduct_colimit_cocone _)).hom_inv_id x']
   rcases(colimit.iso_colimit_cocone (types.coproduct_colimit_cocone _)).Hom x' with ⟨i, y⟩
-  exact ⟨i, y, by simpa [← multicoequalizer.ι_sigma_π, -multicoequalizer.ι_sigma_π] ⟩
+  exact ⟨i, y, by simpa [← multicoequalizer.ι_sigma_π, -multicoequalizer.ι_sigma_π]⟩
 #align category_theory.glue_data.types_ι_jointly_surjective CategoryTheory.GlueData.types_ι_jointly_surjective
 -/
 
@@ -437,7 +437,7 @@ def vPullbackConeIsLimitOfMap (i j : D.J) [ReflectsLimit (cospan (D.ι i) (D.ι
     cospan (F.map (D.ι i)) (F.map (D.ι j)) ≅
       cospan ((D.map_glue_data F).ι i) ((D.map_glue_data F).ι j)
   exact
-    nat_iso.of_components (fun x => by cases x; exacts[D.glued_iso F, iso.refl _])
+    nat_iso.of_components (fun x => by cases x; exacts [D.glued_iso F, iso.refl _])
       (by rintro (_ | _) (_ | _) (_ | _ | _) <;> simp)
   apply is_limit.postcompose_hom_equiv e _ _
   apply hc.of_iso_limit
@@ -454,13 +454,13 @@ omit H
 be jointly surjective. -/
 theorem ι_jointly_surjective (F : C ⥤ Type v) [PreservesColimit D.diagram.multispan F]
     [∀ i j k : D.J, PreservesLimit (cospan (D.f i j) (D.f i k)) F] (x : F.obj D.glued) :
-    ∃ (i : _)(y : F.obj (D.U i)), F.map (D.ι i) y = x :=
+    ∃ (i : _) (y : F.obj (D.U i)), F.map (D.ι i) y = x :=
   by
   let e := D.glued_iso F
   obtain ⟨i, y, eq⟩ := (D.map_glue_data F).types_ι_jointly_surjective (e.hom x)
   replace eq := congr_arg e.inv Eq
-  change ((D.map_glue_data F).ι i ≫ e.inv) y = (e.hom ≫ e.inv) x at eq
-  rw [e.hom_inv_id, D.ι_glued_iso_inv] at eq
+  change ((D.map_glue_data F).ι i ≫ e.inv) y = (e.hom ≫ e.inv) x at eq 
+  rw [e.hom_inv_id, D.ι_glued_iso_inv] at eq 
   exact ⟨i, y, Eq⟩
 #align category_theory.glue_data.ι_jointly_surjective CategoryTheory.GlueData.ι_jointly_surjective

31ca6f9c

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -350,54 +350,36 @@ def diagramIso : D.diagram.multispan ⋙ F ≅ (D.mapGlueData F).diagram.multisp
 #align category_theory.glue_data.diagram_iso CategoryTheory.GlueData.diagramIso
 -/
 
-/- warning: category_theory.glue_data.diagram_iso_app_left -> CategoryTheory.GlueData.diagramIso_app_left is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.diagram_iso_app_left CategoryTheory.GlueData.diagramIso_app_leftₓ'. -/
 @[simp]
 theorem diagramIso_app_left (i : D.J × D.J) :
     (D.diagramIso F).app (WalkingMultispan.left i) = Iso.refl _ :=
   rfl
 #align category_theory.glue_data.diagram_iso_app_left CategoryTheory.GlueData.diagramIso_app_left
 
-/- warning: category_theory.glue_data.diagram_iso_app_right -> CategoryTheory.GlueData.diagramIso_app_right is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.diagram_iso_app_right CategoryTheory.GlueData.diagramIso_app_rightₓ'. -/
 @[simp]
 theorem diagramIso_app_right (i : D.J) :
     (D.diagramIso F).app (WalkingMultispan.right i) = Iso.refl _ :=
   rfl
 #align category_theory.glue_data.diagram_iso_app_right CategoryTheory.GlueData.diagramIso_app_right
 
-/- warning: category_theory.glue_data.diagram_iso_hom_app_left -> CategoryTheory.GlueData.diagramIso_hom_app_left is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.diagram_iso_hom_app_left CategoryTheory.GlueData.diagramIso_hom_app_leftₓ'. -/
 @[simp]
 theorem diagramIso_hom_app_left (i : D.J × D.J) :
     (D.diagramIso F).Hom.app (WalkingMultispan.left i) = 𝟙 _ :=
   rfl
 #align category_theory.glue_data.diagram_iso_hom_app_left CategoryTheory.GlueData.diagramIso_hom_app_left
 
-/- warning: category_theory.glue_data.diagram_iso_hom_app_right -> CategoryTheory.GlueData.diagramIso_hom_app_right is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.diagram_iso_hom_app_right CategoryTheory.GlueData.diagramIso_hom_app_rightₓ'. -/
 @[simp]
 theorem diagramIso_hom_app_right (i : D.J) :
     (D.diagramIso F).Hom.app (WalkingMultispan.right i) = 𝟙 _ :=
   rfl
 #align category_theory.glue_data.diagram_iso_hom_app_right CategoryTheory.GlueData.diagramIso_hom_app_right
 
-/- warning: category_theory.glue_data.diagram_iso_inv_app_left -> CategoryTheory.GlueData.diagramIso_inv_app_left is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.diagram_iso_inv_app_left CategoryTheory.GlueData.diagramIso_inv_app_leftₓ'. -/
 @[simp]
 theorem diagramIso_inv_app_left (i : D.J × D.J) :
     (D.diagramIso F).inv.app (WalkingMultispan.left i) = 𝟙 _ :=
   rfl
 #align category_theory.glue_data.diagram_iso_inv_app_left CategoryTheory.GlueData.diagramIso_inv_app_left
 
-/- warning: category_theory.glue_data.diagram_iso_inv_app_right -> CategoryTheory.GlueData.diagramIso_inv_app_right is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.diagram_iso_inv_app_right CategoryTheory.GlueData.diagramIso_inv_app_rightₓ'. -/
 @[simp]
 theorem diagramIso_inv_app_right (i : D.J) :
     (D.diagramIso F).inv.app (WalkingMultispan.right i) = 𝟙 _ :=
@@ -426,20 +408,11 @@ theorem hasColimit_mapGlueData_diagram : HasMulticoequalizer (D.mapGlueData F).d
 
 attribute [local instance] has_colimit_map_glue_data_diagram
 
-/- warning: category_theory.glue_data.glued_iso -> CategoryTheory.GlueData.gluedIso is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.glued_iso CategoryTheory.GlueData.gluedIsoₓ'. -/
 /-- If `F` preserves the gluing, we obtain an iso between the glued objects. -/
 def gluedIso : F.obj D.glued ≅ (D.mapGlueData F).glued :=
   preservesColimitIso F D.diagram.multispan ≪≫ Limits.HasColimit.isoOfNatIso (D.diagramIso F)
 #align category_theory.glue_data.glued_iso CategoryTheory.GlueData.gluedIso
 
-/- warning: category_theory.glue_data.ι_glued_iso_hom -> CategoryTheory.GlueData.ι_gluedIso_hom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.ι_glued_iso_hom CategoryTheory.GlueData.ι_gluedIso_homₓ'. -/
 @[simp, reassoc]
 theorem ι_gluedIso_hom (i : D.J) : F.map (D.ι i) ≫ (D.gluedIso F).Hom = (D.mapGlueData F).ι i :=
   by
@@ -447,9 +420,6 @@ theorem ι_gluedIso_hom (i : D.J) : F.map (D.ι i) ≫ (D.gluedIso F).Hom = (D.m
   erw [category.id_comp]; rfl
 #align category_theory.glue_data.ι_glued_iso_hom CategoryTheory.GlueData.ι_gluedIso_hom
 
-/- warning: category_theory.glue_data.ι_glued_iso_inv -> CategoryTheory.GlueData.ι_gluedIso_inv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.ι_glued_iso_inv CategoryTheory.GlueData.ι_gluedIso_invₓ'. -/
 @[simp, reassoc]
 theorem ι_gluedIso_inv (i : D.J) : (D.mapGlueData F).ι i ≫ (D.gluedIso F).inv = F.map (D.ι i) := by
   rw [iso.comp_inv_eq, ι_glued_iso_hom]
@@ -480,12 +450,6 @@ def vPullbackConeIsLimitOfMap (i j : D.J) [ReflectsLimit (cospan (D.ι i) (D.ι
 
 omit H
 
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(CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, succ u1} C _inst_1 Type.{u1} CategoryTheory.types.{u1} F) (CategoryTheory.GlueData.U.{u1, u2} C _inst_1 D i) (CategoryTheory.GlueData.glued.{u1, u2} C _inst_1 D _inst_3) (CategoryTheory.GlueData.ι.{u1, u2} C _inst_1 D _inst_3 i) y) x))
-Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.ι_jointly_surjective CategoryTheory.GlueData.ι_jointly_surjectiveₓ'. -/
 /-- If there is a forgetful functor into `Type` that preserves enough (co)limits, then `D.ι` will
 be jointly surjective. -/
 theorem ι_jointly_surjective (F : C ⥤ Type v) [PreservesColimit D.diagram.multispan F]

31ca6f9c

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -95,18 +95,14 @@ theorem t'_iij (i j : D.J) : D.t' i i j = (pullbackSymmetry _ _).Hom :=
 -/
 
 #print CategoryTheory.GlueData.t'_jii /-
-theorem t'_jii (i j : D.J) : D.t' j i i = pullback.fst ≫ D.t j i ≫ inv pullback.snd :=
-  by
-  rw [← category.assoc, ← D.t_fac]
-  simp
+theorem t'_jii (i j : D.J) : D.t' j i i = pullback.fst ≫ D.t j i ≫ inv pullback.snd := by
+  rw [← category.assoc, ← D.t_fac]; simp
 #align category_theory.glue_data.t'_jii CategoryTheory.GlueData.t'_jii
 -/
 
 #print CategoryTheory.GlueData.t'_iji /-
-theorem t'_iji (i j : D.J) : D.t' i j i = pullback.fst ≫ D.t i j ≫ inv pullback.snd :=
-  by
-  rw [← category.assoc, ← D.t_fac]
-  simp
+theorem t'_iji (i j : D.J) : D.t' i j i = pullback.fst ≫ D.t i j ≫ inv pullback.snd := by
+  rw [← category.assoc, ← D.t_fac]; simp
 #align category_theory.glue_data.t'_iji CategoryTheory.GlueData.t'_iji
 -/
 
@@ -277,9 +273,7 @@ def π : D.sigmaOpens ⟶ D.glued :=
 -/
 
 #print CategoryTheory.GlueData.π_epi /-
-instance π_epi : Epi D.π := by
-  unfold π
-  infer_instance
+instance π_epi : Epi D.π := by unfold π; infer_instance
 #align category_theory.glue_data.π_epi CategoryTheory.GlueData.π_epi
 -/
 
@@ -326,9 +320,7 @@ def mapGlueData : GlueData C' where
   f_mono i j := preserves_mono_of_preservesLimit _ _
   f_id i := inferInstance
   t i j := F.map (D.t i j)
-  t_id i := by
-    rw [D.t_id i]
-    simp
+  t_id i := by rw [D.t_id i]; simp
   t' i j k :=
     (PreservesPullback.iso F (D.f i j) (D.f i k)).inv ≫
       F.map (D.t' i j k) ≫ (PreservesPullback.iso F (D.f j k) (D.f j i)).Hom
@@ -351,14 +343,10 @@ def diagramIso : D.diagram.multispan ⋙ F ≅ (D.mapGlueData F).diagram.multisp
       | walking_multispan.right b => Iso.refl _)
     (by
       rintro (⟨_, _⟩ | _) _ (_ | _ | _)
-      · erw [category.comp_id, category.id_comp, Functor.map_id]
-        rfl
-      · erw [category.comp_id, category.id_comp]
-        rfl
-      · erw [category.comp_id, category.id_comp, functor.map_comp]
-        rfl
-      · erw [category.comp_id, category.id_comp, Functor.map_id]
-        rfl)
+      · erw [category.comp_id, category.id_comp, Functor.map_id]; rfl
+      · erw [category.comp_id, category.id_comp]; rfl
+      · erw [category.comp_id, category.id_comp, functor.map_comp]; rfl
+      · erw [category.comp_id, category.id_comp, Functor.map_id]; rfl)
 #align category_theory.glue_data.diagram_iso CategoryTheory.GlueData.diagramIso
 -/
 
@@ -455,10 +443,8 @@ Case conversion may be inaccurate. Consider using '#align category_theory.glue_d
 @[simp, reassoc]
 theorem ι_gluedIso_hom (i : D.J) : F.map (D.ι i) ≫ (D.gluedIso F).Hom = (D.mapGlueData F).ι i :=
   by
-  erw [ι_preserves_colimits_iso_hom_assoc]
-  rw [has_colimit.iso_of_nat_iso_ι_hom]
-  erw [category.id_comp]
-  rfl
+  erw [ι_preserves_colimits_iso_hom_assoc]; rw [has_colimit.iso_of_nat_iso_ι_hom]
+  erw [category.id_comp]; rfl
 #align category_theory.glue_data.ι_glued_iso_hom CategoryTheory.GlueData.ι_gluedIso_hom
 
 /- warning: category_theory.glue_data.ι_glued_iso_inv -> CategoryTheory.GlueData.ι_gluedIso_inv is a dubious translation:
@@ -481,10 +467,7 @@ def vPullbackConeIsLimitOfMap (i j : D.J) [ReflectsLimit (cospan (D.ι i) (D.ι
     cospan (F.map (D.ι i)) (F.map (D.ι j)) ≅
       cospan ((D.map_glue_data F).ι i) ((D.map_glue_data F).ι j)
   exact
-    nat_iso.of_components
-      (fun x => by
-        cases x
-        exacts[D.glued_iso F, iso.refl _])
+    nat_iso.of_components (fun x => by cases x; exacts[D.glued_iso F, iso.refl _])
       (by rintro (_ | _) (_ | _) (_ | _ | _) <;> simp)
   apply is_limit.postcompose_hom_equiv e _ _
   apply hc.of_iso_limit

31ca6f9c

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -363,10 +363,7 @@ def diagramIso : D.diagram.multispan ⋙ F ≅ (D.mapGlueData F).diagram.multisp
 -/
 
 /- warning: category_theory.glue_data.diagram_iso_app_left -> CategoryTheory.GlueData.diagramIso_app_left is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.diagram_iso_app_left CategoryTheory.GlueData.diagramIso_app_leftₓ'. -/
 @[simp]
 theorem diagramIso_app_left (i : D.J × D.J) :
@@ -375,10 +372,7 @@ theorem diagramIso_app_left (i : D.J × D.J) :
 #align category_theory.glue_data.diagram_iso_app_left CategoryTheory.GlueData.diagramIso_app_left
 
 /- warning: category_theory.glue_data.diagram_iso_app_right -> CategoryTheory.GlueData.diagramIso_app_right is a dubious translation:
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(CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) C _inst_1 C' _inst_2 (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u2, u1} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) F)) (CategoryTheory.Limits.WalkingMultispan.right.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) i)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.diagram_iso_app_right CategoryTheory.GlueData.diagramIso_app_rightₓ'. -/
 @[simp]
 theorem diagramIso_app_right (i : D.J) :
@@ -387,10 +381,7 @@ theorem diagramIso_app_right (i : D.J) :
 #align category_theory.glue_data.diagram_iso_app_right CategoryTheory.GlueData.diagramIso_app_right
 
 /- warning: category_theory.glue_data.diagram_iso_hom_app_left -> CategoryTheory.GlueData.diagramIso_hom_app_left is a dubious translation:
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i)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.diagram_iso_hom_app_left CategoryTheory.GlueData.diagramIso_hom_app_leftₓ'. -/
 @[simp]
 theorem diagramIso_hom_app_left (i : D.J × D.J) :
@@ -399,10 +390,7 @@ theorem diagramIso_hom_app_left (i : D.J × D.J) :
 #align category_theory.glue_data.diagram_iso_hom_app_left CategoryTheory.GlueData.diagramIso_hom_app_left
 
 /- warning: category_theory.glue_data.diagram_iso_hom_app_right -> CategoryTheory.GlueData.diagramIso_hom_app_right is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.diagram_iso_hom_app_right CategoryTheory.GlueData.diagramIso_hom_app_rightₓ'. -/
 @[simp]
 theorem diagramIso_hom_app_right (i : D.J) :
@@ -411,10 +399,7 @@ theorem diagramIso_hom_app_right (i : D.J) :
 #align category_theory.glue_data.diagram_iso_hom_app_right CategoryTheory.GlueData.diagramIso_hom_app_right
 
 /- warning: category_theory.glue_data.diagram_iso_inv_app_left -> CategoryTheory.GlueData.diagramIso_inv_app_left is a dubious translation:
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(CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) i)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.diagram_iso_inv_app_left CategoryTheory.GlueData.diagramIso_inv_app_leftₓ'. -/
 @[simp]
 theorem diagramIso_inv_app_left (i : D.J × D.J) :
@@ -423,10 +408,7 @@ theorem diagramIso_inv_app_left (i : D.J × D.J) :
 #align category_theory.glue_data.diagram_iso_inv_app_left CategoryTheory.GlueData.diagramIso_inv_app_left
 
 /- warning: category_theory.glue_data.diagram_iso_inv_app_right -> CategoryTheory.GlueData.diagramIso_inv_app_right is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.diagram_iso_inv_app_right CategoryTheory.GlueData.diagramIso_inv_app_rightₓ'. -/
 @[simp]
 theorem diagramIso_inv_app_right (i : D.J) :
@@ -468,10 +450,7 @@ def gluedIso : F.obj D.glued ≅ (D.mapGlueData F).glued :=
 #align category_theory.glue_data.glued_iso CategoryTheory.GlueData.gluedIso
 
 /- warning: category_theory.glue_data.ι_glued_iso_hom -> CategoryTheory.GlueData.ι_gluedIso_hom is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.ι_glued_iso_hom CategoryTheory.GlueData.ι_gluedIso_homₓ'. -/
 @[simp, reassoc]
 theorem ι_gluedIso_hom (i : D.J) : F.map (D.ι i) ≫ (D.gluedIso F).Hom = (D.mapGlueData F).ι i :=
@@ -483,10 +462,7 @@ theorem ι_gluedIso_hom (i : D.J) : F.map (D.ι i) ≫ (D.gluedIso F).Hom = (D.m
 #align category_theory.glue_data.ι_glued_iso_hom CategoryTheory.GlueData.ι_gluedIso_hom
 
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(CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u2, u1} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) F] (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D), Eq.{succ u1} (Quiver.Hom.{succ u1, u3} C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (CategoryTheory.GlueData.U.{u1, u3} C' _inst_2 (CategoryTheory.GlueData.mapGlueData.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k)) i) (Prefunctor.obj.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 C' _inst_2 F) (CategoryTheory.GlueData.glued.{u1, u2} C _inst_1 D _inst_3))) (CategoryTheory.CategoryStruct.comp.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2) (CategoryTheory.GlueData.U.{u1, u3} C' _inst_2 (CategoryTheory.GlueData.mapGlueData.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k)) i) (CategoryTheory.GlueData.glued.{u1, u3} C' _inst_2 (CategoryTheory.GlueData.mapGlueData.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k)) (CategoryTheory.GlueData.hasColimit_mapGlueData_diagram.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k) _inst_3 _inst_4)) (Prefunctor.obj.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 C' _inst_2 F) (CategoryTheory.GlueData.glued.{u1, u2} C _inst_1 D _inst_3)) (CategoryTheory.GlueData.ι.{u1, u3} C' _inst_2 (CategoryTheory.GlueData.mapGlueData.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k)) (CategoryTheory.GlueData.hasColimit_mapGlueData_diagram.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k) _inst_3 _inst_4) i) (CategoryTheory.Iso.inv.{u1, u3} C' _inst_2 (Prefunctor.obj.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 C' _inst_2 F) (CategoryTheory.GlueData.glued.{u1, u2} C _inst_1 D _inst_3)) (CategoryTheory.GlueData.glued.{u1, u3} C' _inst_2 (CategoryTheory.GlueData.mapGlueData.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k)) (CategoryTheory.GlueData.hasColimit_mapGlueData_diagram.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k) _inst_3 _inst_4)) (CategoryTheory.GlueData.gluedIso.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k) _inst_3 _inst_4))) (Prefunctor.map.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 C' _inst_2 F) (CategoryTheory.GlueData.U.{u1, u2} C _inst_1 D i) (CategoryTheory.GlueData.glued.{u1, u2} C _inst_1 D _inst_3) (CategoryTheory.GlueData.ι.{u1, u2} C _inst_1 D _inst_3 i))
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.ι_glued_iso_inv CategoryTheory.GlueData.ι_gluedIso_invₓ'. -/
 @[simp, reassoc]
 theorem ι_gluedIso_inv (i : D.J) : (D.mapGlueData F).ι i ≫ (D.gluedIso F).inv = F.map (D.ι i) := by

31ca6f9c

bump to nightly-2023-05-23-03

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

ed98987c

Diff

@@ -73,7 +73,7 @@ attribute [simp] glue_data.t_id
 
 attribute [instance] glue_data.f_id glue_data.f_mono glue_data.f_has_pullback
 
-attribute [reassoc.1] glue_data.t_fac glue_data.cocycle
+attribute [reassoc] glue_data.t_fac glue_data.cocycle
 
 namespace GlueData
 
@@ -111,7 +111,7 @@ theorem t'_iji (i j : D.J) : D.t' i j i = pullback.fst ≫ D.t i j ≫ inv pullb
 -/
 
 #print CategoryTheory.GlueData.t_inv /-
-@[simp, reassoc.1, elementwise]
+@[simp, reassoc, elementwise]
 theorem t_inv (i j : D.J) : D.t i j ≫ D.t j i = 𝟙 _ :=
   by
   have eq : (pullback_symmetry (D.f i i) (D.f i j)).Hom = pullback.snd ≫ inv pullback.fst := by simp
@@ -145,7 +145,7 @@ instance t'_isIso (i j k : D.J) : IsIso (D.t' i j k) :=
 -/
 
 #print CategoryTheory.GlueData.t'_comp_eq_pullbackSymmetry /-
-@[reassoc.1]
+@[reassoc]
 theorem t'_comp_eq_pullbackSymmetry (i j k : D.J) :
     D.t' j k i ≫ D.t' k i j =
       (pullbackSymmetry _ _).Hom ≫ D.t' j i k ≫ (pullbackSymmetry _ _).Hom :=
@@ -473,7 +473,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {C' : Type.{u3}} [_inst_2 : CategoryTheory.Category.{u1, u3} C'] (D : CategoryTheory.GlueData.{u1, u2} C _inst_1) (F : CategoryTheory.Functor.{u1, u1, u2, u3} C _inst_1 C' _inst_2) [H : forall (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D), CategoryTheory.Limits.PreservesLimit.{0, 0, u1, u1, u2, u3} C _inst_1 C' _inst_2 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.cospan.{u1, u2} C _inst_1 (CategoryTheory.GlueData.V.{u1, u2} C _inst_1 D (Prod.mk.{u1, u1} (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) i j)) (CategoryTheory.GlueData.V.{u1, u2} C _inst_1 D (Prod.mk.{u1, u1} (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) i k)) (CategoryTheory.GlueData.U.{u1, u2} C _inst_1 D i) (CategoryTheory.GlueData.f.{u1, u2} C _inst_1 D i j) (CategoryTheory.GlueData.f.{u1, u2} C _inst_1 D i k)) F] [_inst_3 : CategoryTheory.Limits.HasMulticoequalizer.{u1, u2, u1} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)] [_inst_4 : CategoryTheory.Limits.PreservesColimit.{u1, u1, u1, u1, u2, u3} C _inst_1 C' _inst_2 (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u2, u1} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) F] (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D), Eq.{succ u1} (Quiver.Hom.{succ u1, u3} C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (Prefunctor.obj.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 C' _inst_2 F) (CategoryTheory.GlueData.U.{u1, u2} C _inst_1 D i)) (CategoryTheory.GlueData.glued.{u1, u3} C' _inst_2 (CategoryTheory.GlueData.mapGlueData.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k)) (CategoryTheory.GlueData.hasColimit_mapGlueData_diagram.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k) _inst_3 _inst_4))) (CategoryTheory.CategoryStruct.comp.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2) (Prefunctor.obj.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 C' _inst_2 F) (CategoryTheory.GlueData.U.{u1, u2} C _inst_1 D i)) (Prefunctor.obj.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 C' _inst_2 F) (CategoryTheory.GlueData.glued.{u1, u2} C _inst_1 D _inst_3)) (CategoryTheory.GlueData.glued.{u1, u3} C' _inst_2 (CategoryTheory.GlueData.mapGlueData.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k)) (CategoryTheory.GlueData.hasColimit_mapGlueData_diagram.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k) _inst_3 _inst_4)) (Prefunctor.map.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 C' _inst_2 F) (CategoryTheory.GlueData.U.{u1, u2} C _inst_1 D i) (CategoryTheory.GlueData.glued.{u1, u2} C _inst_1 D _inst_3) (CategoryTheory.GlueData.ι.{u1, u2} C _inst_1 D _inst_3 i)) (CategoryTheory.Iso.hom.{u1, u3} C' _inst_2 (Prefunctor.obj.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 C' _inst_2 F) (CategoryTheory.GlueData.glued.{u1, u2} C _inst_1 D _inst_3)) (CategoryTheory.GlueData.glued.{u1, u3} C' _inst_2 (CategoryTheory.GlueData.mapGlueData.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k)) (CategoryTheory.GlueData.hasColimit_mapGlueData_diagram.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k) _inst_3 _inst_4)) (CategoryTheory.GlueData.gluedIso.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k) _inst_3 _inst_4))) (CategoryTheory.GlueData.ι.{u1, u3} C' _inst_2 (CategoryTheory.GlueData.mapGlueData.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k)) (CategoryTheory.GlueData.hasColimit_mapGlueData_diagram.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k) _inst_3 _inst_4) i)
 Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.ι_glued_iso_hom CategoryTheory.GlueData.ι_gluedIso_homₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem ι_gluedIso_hom (i : D.J) : F.map (D.ι i) ≫ (D.gluedIso F).Hom = (D.mapGlueData F).ι i :=
   by
   erw [ι_preserves_colimits_iso_hom_assoc]
@@ -488,7 +488,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {C' : Type.{u3}} [_inst_2 : CategoryTheory.Category.{u1, u3} C'] (D : CategoryTheory.GlueData.{u1, u2} C _inst_1) (F : CategoryTheory.Functor.{u1, u1, u2, u3} C _inst_1 C' _inst_2) [H : forall (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D), CategoryTheory.Limits.PreservesLimit.{0, 0, u1, u1, u2, u3} C _inst_1 C' _inst_2 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.cospan.{u1, u2} C _inst_1 (CategoryTheory.GlueData.V.{u1, u2} C _inst_1 D (Prod.mk.{u1, u1} (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) i j)) (CategoryTheory.GlueData.V.{u1, u2} C _inst_1 D (Prod.mk.{u1, u1} (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) i k)) (CategoryTheory.GlueData.U.{u1, u2} C _inst_1 D i) (CategoryTheory.GlueData.f.{u1, u2} C _inst_1 D i j) (CategoryTheory.GlueData.f.{u1, u2} C _inst_1 D i k)) F] [_inst_3 : CategoryTheory.Limits.HasMulticoequalizer.{u1, u2, u1} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)] [_inst_4 : CategoryTheory.Limits.PreservesColimit.{u1, u1, u1, u1, u2, u3} C _inst_1 C' _inst_2 (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u2, u1} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) F] (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D), Eq.{succ u1} (Quiver.Hom.{succ u1, u3} C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (CategoryTheory.GlueData.U.{u1, u3} C' _inst_2 (CategoryTheory.GlueData.mapGlueData.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k)) i) (Prefunctor.obj.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 C' _inst_2 F) (CategoryTheory.GlueData.glued.{u1, u2} C _inst_1 D _inst_3))) (CategoryTheory.CategoryStruct.comp.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2) (CategoryTheory.GlueData.U.{u1, u3} C' _inst_2 (CategoryTheory.GlueData.mapGlueData.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k)) i) (CategoryTheory.GlueData.glued.{u1, u3} C' _inst_2 (CategoryTheory.GlueData.mapGlueData.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k)) (CategoryTheory.GlueData.hasColimit_mapGlueData_diagram.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k) _inst_3 _inst_4)) (Prefunctor.obj.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 C' _inst_2 F) (CategoryTheory.GlueData.glued.{u1, u2} C _inst_1 D _inst_3)) (CategoryTheory.GlueData.ι.{u1, u3} C' _inst_2 (CategoryTheory.GlueData.mapGlueData.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k)) (CategoryTheory.GlueData.hasColimit_mapGlueData_diagram.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k) _inst_3 _inst_4) i) (CategoryTheory.Iso.inv.{u1, u3} C' _inst_2 (Prefunctor.obj.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 C' _inst_2 F) (CategoryTheory.GlueData.glued.{u1, u2} C _inst_1 D _inst_3)) (CategoryTheory.GlueData.glued.{u1, u3} C' _inst_2 (CategoryTheory.GlueData.mapGlueData.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k)) (CategoryTheory.GlueData.hasColimit_mapGlueData_diagram.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k) _inst_3 _inst_4)) (CategoryTheory.GlueData.gluedIso.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k) _inst_3 _inst_4))) (Prefunctor.map.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 C' _inst_2 F) (CategoryTheory.GlueData.U.{u1, u2} C _inst_1 D i) (CategoryTheory.GlueData.glued.{u1, u2} C _inst_1 D _inst_3) (CategoryTheory.GlueData.ι.{u1, u2} C _inst_1 D _inst_3 i))
 Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.ι_glued_iso_inv CategoryTheory.GlueData.ι_gluedIso_invₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem ι_gluedIso_inv (i : D.J) : (D.mapGlueData F).ι i ≫ (D.gluedIso F).inv = F.map (D.ι i) := by
   rw [iso.comp_inv_eq, ι_glued_iso_hom]
 #align category_theory.glue_data.ι_glued_iso_inv CategoryTheory.GlueData.ι_gluedIso_inv

31ca6f9c

bump to nightly-2023-04-04-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/3cacc945118c8c637d89950af01da78307f59325

2ee17135

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.glue_data
-! leanprover-community/mathlib commit 14b69e9f3c16630440a2cbd46f1ddad0d561dee7
+! leanprover-community/mathlib commit 31ca6f9cf5f90a6206092cd7f84b359dcb6d52e0
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -17,6 +17,9 @@ import Mathbin.CategoryTheory.Limits.Shapes.Types
 /-!
 # Gluing data
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We define `glue_data` as a family of data needed to glue topological spaces, schemes, etc. We
 provide the API to realize it as a multispan diagram, and also states lemmas about its
 interaction with a functor that preserves certain pullbacks.

14b69e9f

bump to nightly-2023-03-26-22

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

fbf144f9

Diff

@@ -34,6 +34,7 @@ universe v u₁ u₂
 
 variable (C : Type u₁) [Category.{v} C] {C' : Type u₂} [Category.{v} C']
 
+#print CategoryTheory.GlueData /-
 /-- A gluing datum consists of
 1. An index type `J`
 2. An object `U i` for each `i : J`.
@@ -63,6 +64,7 @@ structure GlueData where
   t_fac : ∀ i j k, t' i j k ≫ pullback.snd = pullback.fst ≫ t i j
   cocycle : ∀ i j k, t' i j k ≫ t' j k i ≫ t' k i j = 𝟙 _
 #align category_theory.glue_data CategoryTheory.GlueData
+-/
 
 attribute [simp] glue_data.t_id
 
@@ -74,6 +76,7 @@ namespace GlueData
 
 variable {C} (D : GlueData C)
 
+#print CategoryTheory.GlueData.t'_iij /-
 @[simp]
 theorem t'_iij (i j : D.J) : D.t' i i j = (pullbackSymmetry _ _).Hom :=
   by
@@ -86,19 +89,25 @@ theorem t'_iij (i j : D.J) : D.t' i i j = (pullbackSymmetry _ _).Hom :=
     mono.right_cancellation _ _
       ((mono.right_cancellation _ _ eq₃).trans (pullback_symmetry_hom_comp_fst _ _).symm)
 #align category_theory.glue_data.t'_iij CategoryTheory.GlueData.t'_iij
+-/
 
+#print CategoryTheory.GlueData.t'_jii /-
 theorem t'_jii (i j : D.J) : D.t' j i i = pullback.fst ≫ D.t j i ≫ inv pullback.snd :=
   by
   rw [← category.assoc, ← D.t_fac]
   simp
 #align category_theory.glue_data.t'_jii CategoryTheory.GlueData.t'_jii
+-/
 
+#print CategoryTheory.GlueData.t'_iji /-
 theorem t'_iji (i j : D.J) : D.t' i j i = pullback.fst ≫ D.t i j ≫ inv pullback.snd :=
   by
   rw [← category.assoc, ← D.t_fac]
   simp
 #align category_theory.glue_data.t'_iji CategoryTheory.GlueData.t'_iji
+-/
 
+#print CategoryTheory.GlueData.t_inv /-
 @[simp, reassoc.1, elementwise]
 theorem t_inv (i j : D.J) : D.t i j ≫ D.t j i = 𝟙 _ :=
   by
@@ -109,22 +118,30 @@ theorem t_inv (i j : D.J) : D.t i j ≫ D.t j i = 𝟙 _ :=
   rw [← is_iso.eq_inv_comp, ← category.assoc, is_iso.comp_inv_eq] at this
   simpa using this
 #align category_theory.glue_data.t_inv CategoryTheory.GlueData.t_inv
+-/
 
+#print CategoryTheory.GlueData.t'_inv /-
 theorem t'_inv (i j k : D.J) :
     D.t' i j k ≫ (pullbackSymmetry _ _).Hom ≫ D.t' j i k ≫ (pullbackSymmetry _ _).Hom = 𝟙 _ :=
   by
   rw [← cancel_mono (pullback.fst : pullback (D.f i j) (D.f i k) ⟶ _)]
   simp [t_fac, t_fac_assoc]
 #align category_theory.glue_data.t'_inv CategoryTheory.GlueData.t'_inv
+-/
 
+#print CategoryTheory.GlueData.t_isIso /-
 instance t_isIso (i j : D.J) : IsIso (D.t i j) :=
   ⟨⟨D.t j i, D.t_inv _ _, D.t_inv _ _⟩⟩
 #align category_theory.glue_data.t_is_iso CategoryTheory.GlueData.t_isIso
+-/
 
+#print CategoryTheory.GlueData.t'_isIso /-
 instance t'_isIso (i j k : D.J) : IsIso (D.t' i j k) :=
   ⟨⟨D.t' j k i ≫ D.t' k i j, D.cocycle _ _ _, by simpa using D.cocycle _ _ _⟩⟩
 #align category_theory.glue_data.t'_is_iso CategoryTheory.GlueData.t'_isIso
+-/
 
+#print CategoryTheory.GlueData.t'_comp_eq_pullbackSymmetry /-
 @[reassoc.1]
 theorem t'_comp_eq_pullbackSymmetry (i j k : D.J) :
     D.t' j k i ≫ D.t' k i j =
@@ -135,12 +152,16 @@ theorem t'_comp_eq_pullbackSymmetry (i j k : D.J) :
   · rw [← cancel_mono (pullback.fst : pullback (D.f i j) (D.f i k) ⟶ _)]
     simp [t_fac, t_fac_assoc]
 #align category_theory.glue_data.t'_comp_eq_pullback_symmetry CategoryTheory.GlueData.t'_comp_eq_pullbackSymmetry
+-/
 
+#print CategoryTheory.GlueData.sigmaOpens /-
 /-- (Implementation) The disjoint union of `U i`. -/
 def sigmaOpens [HasCoproduct D.U] : C :=
   ∐ D.U
 #align category_theory.glue_data.sigma_opens CategoryTheory.GlueData.sigmaOpens
+-/
 
+#print CategoryTheory.GlueData.diagram /-
 /-- (Implementation) The diagram to take colimit of. -/
 def diagram : MultispanIndex C where
   L := D.J × D.J
@@ -152,90 +173,122 @@ def diagram : MultispanIndex C where
   fst := fun ⟨i, j⟩ => D.f i j
   snd := fun ⟨i, j⟩ => D.t i j ≫ D.f j i
 #align category_theory.glue_data.diagram CategoryTheory.GlueData.diagram
+-/
 
+#print CategoryTheory.GlueData.diagram_l /-
 @[simp]
 theorem diagram_l : D.diagram.L = (D.J × D.J) :=
   rfl
 #align category_theory.glue_data.diagram_L CategoryTheory.GlueData.diagram_l
+-/
 
+#print CategoryTheory.GlueData.diagram_r /-
 @[simp]
 theorem diagram_r : D.diagram.R = D.J :=
   rfl
 #align category_theory.glue_data.diagram_R CategoryTheory.GlueData.diagram_r
+-/
 
+#print CategoryTheory.GlueData.diagram_fstFrom /-
 @[simp]
 theorem diagram_fstFrom (i j : D.J) : D.diagram.fstFrom ⟨i, j⟩ = i :=
   rfl
 #align category_theory.glue_data.diagram_fst_from CategoryTheory.GlueData.diagram_fstFrom
+-/
 
+#print CategoryTheory.GlueData.diagram_sndFrom /-
 @[simp]
 theorem diagram_sndFrom (i j : D.J) : D.diagram.sndFrom ⟨i, j⟩ = j :=
   rfl
 #align category_theory.glue_data.diagram_snd_from CategoryTheory.GlueData.diagram_sndFrom
+-/
 
+#print CategoryTheory.GlueData.diagram_fst /-
 @[simp]
 theorem diagram_fst (i j : D.J) : D.diagram.fst ⟨i, j⟩ = D.f i j :=
   rfl
 #align category_theory.glue_data.diagram_fst CategoryTheory.GlueData.diagram_fst
+-/
 
+#print CategoryTheory.GlueData.diagram_snd /-
 @[simp]
 theorem diagram_snd (i j : D.J) : D.diagram.snd ⟨i, j⟩ = D.t i j ≫ D.f j i :=
   rfl
 #align category_theory.glue_data.diagram_snd CategoryTheory.GlueData.diagram_snd
+-/
 
+#print CategoryTheory.GlueData.diagram_left /-
 @[simp]
 theorem diagram_left : D.diagram.left = D.V :=
   rfl
 #align category_theory.glue_data.diagram_left CategoryTheory.GlueData.diagram_left
+-/
 
+#print CategoryTheory.GlueData.diagram_right /-
 @[simp]
 theorem diagram_right : D.diagram.right = D.U :=
   rfl
 #align category_theory.glue_data.diagram_right CategoryTheory.GlueData.diagram_right
+-/
 
 section
 
 variable [HasMulticoequalizer D.diagram]
 
+#print CategoryTheory.GlueData.glued /-
 /-- The glued object given a family of gluing data. -/
 def glued : C :=
   multicoequalizer D.diagram
 #align category_theory.glue_data.glued CategoryTheory.GlueData.glued
+-/
 
+#print CategoryTheory.GlueData.ι /-
 /-- The map `D.U i ⟶ D.glued` for each `i`. -/
 def ι (i : D.J) : D.U i ⟶ D.glued :=
   Multicoequalizer.π D.diagram i
 #align category_theory.glue_data.ι CategoryTheory.GlueData.ι
+-/
 
+#print CategoryTheory.GlueData.glue_condition /-
 @[simp, elementwise]
 theorem glue_condition (i j : D.J) : D.t i j ≫ D.f j i ≫ D.ι j = D.f i j ≫ D.ι i :=
   (Category.assoc _ _ _).symm.trans (Multicoequalizer.condition D.diagram ⟨i, j⟩).symm
 #align category_theory.glue_data.glue_condition CategoryTheory.GlueData.glue_condition
+-/
 
+#print CategoryTheory.GlueData.vPullbackCone /-
 /-- The pullback cone spanned by `V i j ⟶ U i` and `V i j ⟶ U j`.
 This will often be a pullback diagram. -/
 def vPullbackCone (i j : D.J) : PullbackCone (D.ι i) (D.ι j) :=
   PullbackCone.mk (D.f i j) (D.t i j ≫ D.f j i) (by simp)
 #align category_theory.glue_data.V_pullback_cone CategoryTheory.GlueData.vPullbackCone
+-/
 
 variable [HasColimits C]
 
+#print CategoryTheory.GlueData.π /-
 /-- The projection `∐ D.U ⟶ D.glued` given by the colimit. -/
 def π : D.sigmaOpens ⟶ D.glued :=
   Multicoequalizer.sigmaπ D.diagram
 #align category_theory.glue_data.π CategoryTheory.GlueData.π
+-/
 
+#print CategoryTheory.GlueData.π_epi /-
 instance π_epi : Epi D.π := by
   unfold π
   infer_instance
 #align category_theory.glue_data.π_epi CategoryTheory.GlueData.π_epi
+-/
 
 end
 
+#print CategoryTheory.GlueData.types_π_surjective /-
 theorem types_π_surjective (D : GlueData (Type _)) : Function.Surjective D.π :=
   (epi_iff_surjective _).mp inferInstance
 #align category_theory.glue_data.types_π_surjective CategoryTheory.GlueData.types_π_surjective
+-/
 
+#print CategoryTheory.GlueData.types_ι_jointly_surjective /-
 theorem types_ι_jointly_surjective (D : GlueData (Type _)) (x : D.glued) :
     ∃ (i : _)(y : D.U i), D.ι i y = x :=
   by
@@ -250,6 +303,7 @@ theorem types_ι_jointly_surjective (D : GlueData (Type _)) (x : D.glued) :
   rcases(colimit.iso_colimit_cocone (types.coproduct_colimit_cocone _)).Hom x' with ⟨i, y⟩
   exact ⟨i, y, by simpa [← multicoequalizer.ι_sigma_π, -multicoequalizer.ι_sigma_π] ⟩
 #align category_theory.glue_data.types_ι_jointly_surjective CategoryTheory.GlueData.types_ι_jointly_surjective
+-/
 
 variable (F : C ⥤ C') [H : ∀ i j k, PreservesLimit (cospan (D.f i j) (D.f i k)) F]
 
@@ -258,6 +312,7 @@ include H
 instance (i j k : D.J) : HasPullback (F.map (D.f i j)) (F.map (D.f i k)) :=
   ⟨⟨⟨_, isLimitOfHasPullbackOfPreservesLimit F (D.f i j) (D.f i k)⟩⟩⟩
 
+#print CategoryTheory.GlueData.mapGlueData /-
 /-- A functor that preserves the pullbacks of `f i j` and `f i k` can map a family of glue data. -/
 @[simps]
 def mapGlueData : GlueData C' where
@@ -279,7 +334,9 @@ def mapGlueData : GlueData C' where
     simp only [category.assoc, iso.hom_inv_id_assoc, ← functor.map_comp_assoc, D.cocycle,
       iso.inv_hom_id, CategoryTheory.Functor.map_id, category.id_comp]
 #align category_theory.glue_data.map_glue_data CategoryTheory.GlueData.mapGlueData
+-/
 
+#print CategoryTheory.GlueData.diagramIso /-
 /-- The diagram of the image of a `glue_data` under a functor `F` is naturally isomorphic to the
 original diagram of the `glue_data` via `F`.
 -/
@@ -300,37 +357,74 @@ def diagramIso : D.diagram.multispan ⋙ F ≅ (D.mapGlueData F).diagram.multisp
       · erw [category.comp_id, category.id_comp, Functor.map_id]
         rfl)
 #align category_theory.glue_data.diagram_iso CategoryTheory.GlueData.diagramIso
+-/
 
+/- warning: category_theory.glue_data.diagram_iso_app_left -> CategoryTheory.GlueData.diagramIso_app_left is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) C _inst_1 C' _inst_2 (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u2, u1} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) F)) (CategoryTheory.Limits.WalkingMultispan.left.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) i)))
+Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.diagram_iso_app_left CategoryTheory.GlueData.diagramIso_app_leftₓ'. -/
 @[simp]
 theorem diagramIso_app_left (i : D.J × D.J) :
     (D.diagramIso F).app (WalkingMultispan.left i) = Iso.refl _ :=
   rfl
 #align category_theory.glue_data.diagram_iso_app_left CategoryTheory.GlueData.diagramIso_app_left
 
+/- warning: category_theory.glue_data.diagram_iso_app_right -> CategoryTheory.GlueData.diagramIso_app_right is a dubious translation:
+lean 3 declaration is
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(CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) C _inst_1 C' _inst_2 (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u2, u1} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) F) (CategoryTheory.Limits.WalkingMultispan.right.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 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+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {C' : Type.{u3}} [_inst_2 : CategoryTheory.Category.{u1, u3} C'] (D : CategoryTheory.GlueData.{u1, u2} C _inst_1) (F : CategoryTheory.Functor.{u1, u1, u2, u3} C _inst_1 C' _inst_2) [H : forall (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D), CategoryTheory.Limits.PreservesLimit.{0, 0, u1, u1, u2, u3} C _inst_1 C' _inst_2 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.cospan.{u1, u2} C _inst_1 (CategoryTheory.GlueData.V.{u1, u2} C _inst_1 D (Prod.mk.{u1, u1} (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) i j)) (CategoryTheory.GlueData.V.{u1, u2} C _inst_1 D (Prod.mk.{u1, u1} (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) i k)) (CategoryTheory.GlueData.U.{u1, u2} C _inst_1 D i) (CategoryTheory.GlueData.f.{u1, u2} C _inst_1 D i j) (CategoryTheory.GlueData.f.{u1, u2} C _inst_1 D i k)) F] (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D), Eq.{succ u1} (CategoryTheory.Iso.{u1, u3} C' _inst_2 (Prefunctor.obj.{succ u1, succ u1, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingMultispan.{u1} 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(CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) C' _inst_2 (CategoryTheory.Functor.comp.{u1, u1, u1, u1, u2, 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(CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) C _inst_1 C' _inst_2 (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u2, u1} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) F)) (CategoryTheory.Limits.WalkingMultispan.right.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) i)) (Prefunctor.obj.{succ u1, succ u1, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 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+Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.diagram_iso_app_right CategoryTheory.GlueData.diagramIso_app_rightₓ'. -/
 @[simp]
 theorem diagramIso_app_right (i : D.J) :
     (D.diagramIso F).app (WalkingMultispan.right i) = Iso.refl _ :=
   rfl
 #align category_theory.glue_data.diagram_iso_app_right CategoryTheory.GlueData.diagramIso_app_right
 
+/- warning: category_theory.glue_data.diagram_iso_hom_app_left -> CategoryTheory.GlueData.diagramIso_hom_app_left is a dubious translation:
+lean 3 declaration is
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(CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) C _inst_1 C' _inst_2 (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u2, u1} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) F) (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u3, u1} C' _inst_2 (CategoryTheory.GlueData.diagram.{u1, u3} C' _inst_2 (CategoryTheory.GlueData.mapGlueData.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k)))) (CategoryTheory.GlueData.diagramIso.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k))) (CategoryTheory.Limits.WalkingMultispan.left.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C 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(CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) (CategoryTheory.Limits.WalkingMultispan.CategoryTheory.smallCategory.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) C _inst_1 C' _inst_2 (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u2, u1} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) F) (CategoryTheory.Limits.WalkingMultispan.left.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) i)))
+but is expected to have type
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i)))
+Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.diagram_iso_hom_app_left CategoryTheory.GlueData.diagramIso_hom_app_leftₓ'. -/
 @[simp]
 theorem diagramIso_hom_app_left (i : D.J × D.J) :
     (D.diagramIso F).Hom.app (WalkingMultispan.left i) = 𝟙 _ :=
   rfl
 #align category_theory.glue_data.diagram_iso_hom_app_left CategoryTheory.GlueData.diagramIso_hom_app_left
 
+/- warning: category_theory.glue_data.diagram_iso_hom_app_right -> CategoryTheory.GlueData.diagramIso_hom_app_right is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {C' : Type.{u3}} [_inst_2 : CategoryTheory.Category.{u1, u3} C'] (D : CategoryTheory.GlueData.{u1, u2} C _inst_1) (F : CategoryTheory.Functor.{u1, u1, u2, u3} C _inst_1 C' _inst_2) [H : forall (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D), CategoryTheory.Limits.PreservesLimit.{0, 0, u1, u1, u2, u3} C _inst_1 C' _inst_2 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.cospan.{u1, u2} C _inst_1 (CategoryTheory.GlueData.V.{u1, u2} C _inst_1 D (Prod.mk.{u1, u1} (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) i j)) (CategoryTheory.GlueData.V.{u1, u2} C _inst_1 D (Prod.mk.{u1, u1} (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) i k)) (CategoryTheory.GlueData.U.{u1, u2} C _inst_1 D i) (CategoryTheory.GlueData.f.{u1, u2} C _inst_1 D i j) (CategoryTheory.GlueData.f.{u1, u2} C _inst_1 D i k)) F] (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D), Eq.{succ u1} (Quiver.Hom.{succ u1, u3} C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (Prefunctor.obj.{succ u1, succ u1, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) 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(CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))))) C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} 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+Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.diagram_iso_hom_app_right CategoryTheory.GlueData.diagramIso_hom_app_rightₓ'. -/
 @[simp]
 theorem diagramIso_hom_app_right (i : D.J) :
     (D.diagramIso F).Hom.app (WalkingMultispan.right i) = 𝟙 _ :=
   rfl
 #align category_theory.glue_data.diagram_iso_hom_app_right CategoryTheory.GlueData.diagramIso_hom_app_right
 
+/- warning: category_theory.glue_data.diagram_iso_inv_app_left -> CategoryTheory.GlueData.diagramIso_inv_app_left is a dubious translation:
+lean 3 declaration is
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D))) (CategoryTheory.Limits.WalkingMultispan.CategoryTheory.smallCategory.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) C' _inst_2 (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u3, u1} C' _inst_2 (CategoryTheory.GlueData.diagram.{u1, u3} C' _inst_2 (CategoryTheory.GlueData.mapGlueData.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k)))) (CategoryTheory.Limits.WalkingMultispan.left.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) i)))
+but is expected to have type
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(CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) (CategoryTheory.CategoryStruct.toQuiver.{u1, u1} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) (CategoryTheory.Category.toCategoryStruct.{u1, u1} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) 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(CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) i)))
+Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.diagram_iso_inv_app_left CategoryTheory.GlueData.diagramIso_inv_app_leftₓ'. -/
 @[simp]
 theorem diagramIso_inv_app_left (i : D.J × D.J) :
     (D.diagramIso F).inv.app (WalkingMultispan.left i) = 𝟙 _ :=
   rfl
 #align category_theory.glue_data.diagram_iso_inv_app_left CategoryTheory.GlueData.diagramIso_inv_app_left
 
+/- warning: category_theory.glue_data.diagram_iso_inv_app_right -> CategoryTheory.GlueData.diagramIso_inv_app_right is a dubious translation:
+lean 3 declaration is
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C' _inst_2 (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u2, u1} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) F) (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u3, u1} C' _inst_2 (CategoryTheory.GlueData.diagram.{u1, u3} C' _inst_2 (CategoryTheory.GlueData.mapGlueData.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k)))) (CategoryTheory.GlueData.diagramIso.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k))) (CategoryTheory.Limits.WalkingMultispan.right.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) i)) (CategoryTheory.CategoryStruct.id.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2) (CategoryTheory.Functor.obj.{u1, u1, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) (CategoryTheory.Limits.WalkingMultispan.CategoryTheory.smallCategory.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) C' _inst_2 (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u3, u1} C' _inst_2 (CategoryTheory.GlueData.diagram.{u1, u3} C' _inst_2 (CategoryTheory.GlueData.mapGlueData.{u1, u2, u3} C _inst_1 C' _inst_2 D F (fun (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) => H i j k)))) (CategoryTheory.Limits.WalkingMultispan.right.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) i)))
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {C' : Type.{u3}} [_inst_2 : CategoryTheory.Category.{u1, u3} C'] (D : CategoryTheory.GlueData.{u1, u2} C _inst_1) (F : CategoryTheory.Functor.{u1, u1, u2, u3} C _inst_1 C' _inst_2) [H : forall (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D), CategoryTheory.Limits.PreservesLimit.{0, 0, u1, u1, u2, u3} C _inst_1 C' _inst_2 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.cospan.{u1, u2} C _inst_1 (CategoryTheory.GlueData.V.{u1, u2} C _inst_1 D (Prod.mk.{u1, u1} (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) i j)) (CategoryTheory.GlueData.V.{u1, u2} C _inst_1 D (Prod.mk.{u1, u1} (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) i k)) (CategoryTheory.GlueData.U.{u1, u2} C _inst_1 D i) (CategoryTheory.GlueData.f.{u1, u2} C _inst_1 D i j) (CategoryTheory.GlueData.f.{u1, u2} C _inst_1 D i k)) F] (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D), Eq.{succ u1} (Quiver.Hom.{succ u1, u3} C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (Prefunctor.obj.{succ u1, succ u1, u1, u3} (CategoryTheory.Limits.WalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) 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+Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.diagram_iso_inv_app_right CategoryTheory.GlueData.diagramIso_inv_app_rightₓ'. -/
 @[simp]
 theorem diagramIso_inv_app_right (i : D.J) :
     (D.diagramIso F).inv.app (WalkingMultispan.right i) = 𝟙 _ :=
@@ -341,25 +435,41 @@ variable [HasMulticoequalizer D.diagram] [PreservesColimit D.diagram.multispan F
 
 omit H
 
+#print CategoryTheory.GlueData.hasColimit_multispan_comp /-
 theorem hasColimit_multispan_comp : HasColimit (D.diagram.multispan ⋙ F) :=
   ⟨⟨⟨_, PreservesColimit.preserves (colimit.isColimit _)⟩⟩⟩
 #align category_theory.glue_data.has_colimit_multispan_comp CategoryTheory.GlueData.hasColimit_multispan_comp
+-/
 
 include H
 
 attribute [local instance] has_colimit_multispan_comp
 
-theorem has_colimit_mapGlueData_diagram : HasMulticoequalizer (D.mapGlueData F).diagram :=
+#print CategoryTheory.GlueData.hasColimit_mapGlueData_diagram /-
+theorem hasColimit_mapGlueData_diagram : HasMulticoequalizer (D.mapGlueData F).diagram :=
   hasColimitOfIso (D.diagramIso F).symm
-#align category_theory.glue_data.has_colimit_map_glue_data_diagram CategoryTheory.GlueData.has_colimit_mapGlueData_diagram
+#align category_theory.glue_data.has_colimit_map_glue_data_diagram CategoryTheory.GlueData.hasColimit_mapGlueData_diagram
+-/
 
 attribute [local instance] has_colimit_map_glue_data_diagram
 
+/- warning: category_theory.glue_data.glued_iso -> CategoryTheory.GlueData.gluedIso is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.glued_iso CategoryTheory.GlueData.gluedIsoₓ'. -/
 /-- If `F` preserves the gluing, we obtain an iso between the glued objects. -/
 def gluedIso : F.obj D.glued ≅ (D.mapGlueData F).glued :=
   preservesColimitIso F D.diagram.multispan ≪≫ Limits.HasColimit.isoOfNatIso (D.diagramIso F)
 #align category_theory.glue_data.glued_iso CategoryTheory.GlueData.gluedIso
 
+/- warning: category_theory.glue_data.ι_glued_iso_hom -> CategoryTheory.GlueData.ι_gluedIso_hom is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.ι_glued_iso_hom CategoryTheory.GlueData.ι_gluedIso_homₓ'. -/
 @[simp, reassoc.1]
 theorem ι_gluedIso_hom (i : D.J) : F.map (D.ι i) ≫ (D.gluedIso F).Hom = (D.mapGlueData F).ι i :=
   by
@@ -369,11 +479,18 @@ theorem ι_gluedIso_hom (i : D.J) : F.map (D.ι i) ≫ (D.gluedIso F).Hom = (D.m
   rfl
 #align category_theory.glue_data.ι_glued_iso_hom CategoryTheory.GlueData.ι_gluedIso_hom
 
+/- warning: category_theory.glue_data.ι_glued_iso_inv -> CategoryTheory.GlueData.ι_gluedIso_inv is a dubious translation:
+lean 3 declaration is
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(Prefunctor.map.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) C' (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C' (CategoryTheory.Category.toCategoryStruct.{u1, u3} C' _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 C' _inst_2 F) (CategoryTheory.GlueData.U.{u1, u2} C _inst_1 D i) (CategoryTheory.GlueData.glued.{u1, u2} C _inst_1 D _inst_3) (CategoryTheory.GlueData.ι.{u1, u2} C _inst_1 D _inst_3 i))
+Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.ι_glued_iso_inv CategoryTheory.GlueData.ι_gluedIso_invₓ'. -/
 @[simp, reassoc.1]
 theorem ι_gluedIso_inv (i : D.J) : (D.mapGlueData F).ι i ≫ (D.gluedIso F).inv = F.map (D.ι i) := by
   rw [iso.comp_inv_eq, ι_glued_iso_hom]
 #align category_theory.glue_data.ι_glued_iso_inv CategoryTheory.GlueData.ι_gluedIso_inv
 
+#print CategoryTheory.GlueData.vPullbackConeIsLimitOfMap /-
 /-- If `F` preserves the gluing, and reflects the pullback of `U i ⟶ glued` and `U j ⟶ glued`,
 then `F` reflects the fact that `V_pullback_cone` is a pullback. -/
 def vPullbackConeIsLimitOfMap (i j : D.J) [ReflectsLimit (cospan (D.ι i) (D.ι j)) F]
@@ -397,9 +514,16 @@ def vPullbackConeIsLimitOfMap (i j : D.J) [ReflectsLimit (cospan (D.ι i) (D.ι
     change _ = _ ≫ (_ ≫ _) ≫ _
     all_goals change _ = 𝟙 _ ≫ _ ≫ _; simpa
 #align category_theory.glue_data.V_pullback_cone_is_limit_of_map CategoryTheory.GlueData.vPullbackConeIsLimitOfMap
+-/
 
 omit H
 
+/- warning: category_theory.glue_data.ι_jointly_surjective -> CategoryTheory.GlueData.ι_jointly_surjective is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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_inst_1 D))) (CategoryTheory.Limits.WalkingMultispan.instSmallCategoryWalkingMultispan.{u1} (CategoryTheory.Limits.MultispanIndex.L.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.R.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.fstFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) (CategoryTheory.Limits.MultispanIndex.sndFrom.{u1, u1, u2} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D))) (CategoryTheory.Limits.MultispanIndex.multispan.{u1, u2, u1} C _inst_1 (CategoryTheory.GlueData.diagram.{u1, u2} C _inst_1 D)) F] [_inst_6 : forall (i : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (j : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D) (k : CategoryTheory.GlueData.J.{u1, u2} C _inst_1 D), CategoryTheory.Limits.PreservesLimit.{0, 0, u1, u1, u2, succ u1} C _inst_1 Type.{u1} CategoryTheory.types.{u1} 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+Case conversion may be inaccurate. Consider using '#align category_theory.glue_data.ι_jointly_surjective CategoryTheory.GlueData.ι_jointly_surjectiveₓ'. -/
 /-- If there is a forgetful functor into `Type` that preserves enough (co)limits, then `D.ι` will
 be jointly surjective. -/
 theorem ι_jointly_surjective (F : C ⥤ Type v) [PreservesColimit D.diagram.multispan F]

14b69e9f

bump to nightly-2023-03-23-20

mathlib commit https://github.com/leanprover-community/mathlib/commit/57e09a1296bfb4330ddf6624f1028ba186117d82

53b827ba

Diff

@@ -204,12 +204,12 @@ def glued : C :=
 
 /-- The map `D.U i ⟶ D.glued` for each `i`. -/
 def ι (i : D.J) : D.U i ⟶ D.glued :=
-  multicoequalizer.π D.diagram i
+  Multicoequalizer.π D.diagram i
 #align category_theory.glue_data.ι CategoryTheory.GlueData.ι
 
 @[simp, elementwise]
 theorem glue_condition (i j : D.J) : D.t i j ≫ D.f j i ≫ D.ι j = D.f i j ≫ D.ι i :=
-  (Category.assoc _ _ _).symm.trans (multicoequalizer.condition D.diagram ⟨i, j⟩).symm
+  (Category.assoc _ _ _).symm.trans (Multicoequalizer.condition D.diagram ⟨i, j⟩).symm
 #align category_theory.glue_data.glue_condition CategoryTheory.GlueData.glue_condition
 
 /-- The pullback cone spanned by `V i j ⟶ U i` and `V i j ⟶ U j`.
@@ -222,7 +222,7 @@ variable [HasColimits C]
 
 /-- The projection `∐ D.U ⟶ D.glued` given by the colimit. -/
 def π : D.sigmaOpens ⟶ D.glued :=
-  multicoequalizer.sigmaπ D.diagram
+  Multicoequalizer.sigmaπ D.diagram
 #align category_theory.glue_data.π CategoryTheory.GlueData.π
 
 instance π_epi : Epi D.π := by

14b69e9f

bump to nightly-2023-02-28-22

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

1fb1623f

Diff

@@ -350,7 +350,7 @@ include H
 attribute [local instance] has_colimit_multispan_comp
 
 theorem has_colimit_mapGlueData_diagram : HasMulticoequalizer (D.mapGlueData F).diagram :=
-  hasColimit_of_iso (D.diagramIso F).symm
+  hasColimitOfIso (D.diagramIso F).symm
 #align category_theory.glue_data.has_colimit_map_glue_data_diagram CategoryTheory.GlueData.has_colimit_mapGlueData_diagram
 
 attribute [local instance] has_colimit_map_glue_data_diagram

14b69e9f

bump to nightly-2023-02-27-08

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

91d8c210

Diff

@@ -341,16 +341,16 @@ variable [HasMulticoequalizer D.diagram] [PreservesColimit D.diagram.multispan F
 
 omit H
 
-theorem hasColimitMultispanComp : HasColimit (D.diagram.multispan ⋙ F) :=
+theorem hasColimit_multispan_comp : HasColimit (D.diagram.multispan ⋙ F) :=
   ⟨⟨⟨_, PreservesColimit.preserves (colimit.isColimit _)⟩⟩⟩
-#align category_theory.glue_data.has_colimit_multispan_comp CategoryTheory.GlueData.hasColimitMultispanComp
+#align category_theory.glue_data.has_colimit_multispan_comp CategoryTheory.GlueData.hasColimit_multispan_comp
 
 include H
 
 attribute [local instance] has_colimit_multispan_comp
 
 theorem has_colimit_mapGlueData_diagram : HasMulticoequalizer (D.mapGlueData F).diagram :=
-  hasColimitOfIso (D.diagramIso F).symm
+  hasColimit_of_iso (D.diagramIso F).symm
 #align category_theory.glue_data.has_colimit_map_glue_data_diagram CategoryTheory.GlueData.has_colimit_mapGlueData_diagram
 
 attribute [local instance] has_colimit_map_glue_data_diagram

14b69e9f

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

14b69e9f

chore: adapt to multiple goal linter 1 (#12338)

A PR accompanying #12339.

Zulip discussion

45f93f3f

Diff

@@ -381,7 +381,7 @@ def vPullbackConeIsLimitOfMap (i j : D.J) [ReflectsLimit (cospan (D.ι i) (D.ι
   apply hc.ofIsoLimit
   refine Cones.ext (Iso.refl _) ?_
   rintro (_ | _ | _)
-  change _ = _ ≫ (_ ≫ _) ≫ _
+  on_goal 1 => change _ = _ ≫ (_ ≫ _) ≫ _
   all_goals change _ = 𝟙 _ ≫ _ ≫ _; aesop_cat
 set_option linter.uppercaseLean3 false in
 #align category_theory.glue_data.V_pullback_cone_is_limit_of_map CategoryTheory.GlueData.vPullbackConeIsLimitOfMap

14b69e9f

chore: classify porting notes referring to missing linters (#12098)

Reference the newly created issues #12094 and #12096, as well as the pre-existing #5171. Change all references to #10927 to #5171. Some of these changes were not labelled as "porting note"; change this for good measure.

c5b5490c

Diff

@@ -45,7 +45,7 @@ such that
     `t' : V i j ×[U i] V i k ⟶ V j k ×[U j] V j i`.
 10. `t' i j k ≫ t' j k i ≫ t' k i j = 𝟙 _`.
 -/
--- Porting note: This linter does not exist yet
+-- Porting note(#5171): linter not ported yet
 -- @[nolint has_nonempty_instance]
 structure GlueData where
   J : Type v

14b69e9f

chore: remove stream-of-consciousness uses of have, replace and suffices (#10640)

No changes to tactic file, it's just boring fixes throughout the library.

This follows on from #6964.

Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

a13e8040

Diff

@@ -15,7 +15,7 @@ import Mathlib.CategoryTheory.Limits.Shapes.Types
 # Gluing data
 
 We define `GlueData` as a family of data needed to glue topological spaces, schemes, etc. We
-provide the API to realize it as a multispan diagram, and also states lemmas about its
+provide the API to realize it as a multispan diagram, and also state lemmas about its
 interaction with a functor that preserves certain pullbacks.
 
 -/
@@ -370,10 +370,8 @@ def vPullbackConeIsLimitOfMap (i j : D.J) [ReflectsLimit (cospan (D.ι i) (D.ι
     (hc : IsLimit ((D.mapGlueData F).vPullbackCone i j)) : IsLimit (D.vPullbackCone i j) := by
   apply isLimitOfReflects F
   apply (isLimitMapConePullbackConeEquiv _ _).symm _
-  let e :
-    cospan (F.map (D.ι i)) (F.map (D.ι j)) ≅
-      cospan ((D.mapGlueData F).ι i) ((D.mapGlueData F).ι j)
-  exact
+  let e : cospan (F.map (D.ι i)) (F.map (D.ι j)) ≅
+      cospan ((D.mapGlueData F).ι i) ((D.mapGlueData F).ι j) :=
     NatIso.ofComponents
       (fun x => by
         cases x
@@ -381,10 +379,10 @@ def vPullbackConeIsLimitOfMap (i j : D.J) [ReflectsLimit (cospan (D.ι i) (D.ι
       (by rintro (_ | _) (_ | _) (_ | _ | _) <;> simp)
   apply IsLimit.postcomposeHomEquiv e _ _
   apply hc.ofIsoLimit
-  refine' Cones.ext (Iso.refl _) _
-  · rintro (_ | _ | _)
-    change _ = _ ≫ (_ ≫ _) ≫ _
-    all_goals change _ = 𝟙 _ ≫ _ ≫ _; aesop_cat
+  refine Cones.ext (Iso.refl _) ?_
+  rintro (_ | _ | _)
+  change _ = _ ≫ (_ ≫ _) ≫ _
+  all_goals change _ = 𝟙 _ ≫ _ ≫ _; aesop_cat
 set_option linter.uppercaseLean3 false in
 #align category_theory.glue_data.V_pullback_cone_is_limit_of_map CategoryTheory.GlueData.vPullbackConeIsLimitOfMap

14b69e9f

chore: remove useless include and omit porting notes (#10503)

625e2ac8

Diff

@@ -249,9 +249,6 @@ theorem types_ι_jointly_surjective (D : GlueData (Type v)) (x : D.glued) :
 
 variable (F : C ⥤ C') [H : ∀ i j k, PreservesLimit (cospan (D.f i j) (D.f i k)) F]
 
--- porting note: commented out include
--- include H
-
 instance (i j k : D.J) : HasPullback (F.map (D.f i j)) (F.map (D.f i k)) :=
   ⟨⟨⟨_, isLimitOfHasPullbackOfPreservesLimit F (D.f i j) (D.f i k)⟩⟩⟩
 
@@ -335,16 +332,10 @@ theorem diagramIso_inv_app_right (i : D.J) :
 
 variable [HasMulticoequalizer D.diagram] [PreservesColimit D.diagram.multispan F]
 
--- porting note: commented out omit
--- omit H
-
 theorem hasColimit_multispan_comp : HasColimit (D.diagram.multispan ⋙ F) :=
   ⟨⟨⟨_, PreservesColimit.preserves (colimit.isColimit _)⟩⟩⟩
 #align category_theory.glue_data.has_colimit_multispan_comp CategoryTheory.GlueData.hasColimit_multispan_comp
 
--- porting note: commented out include
--- include H
-
 attribute [local instance] hasColimit_multispan_comp
 
 theorem hasColimit_mapGlueData_diagram : HasMulticoequalizer (D.mapGlueData F).diagram :=
@@ -397,9 +388,6 @@ def vPullbackConeIsLimitOfMap (i j : D.J) [ReflectsLimit (cospan (D.ι i) (D.ι
 set_option linter.uppercaseLean3 false in
 #align category_theory.glue_data.V_pullback_cone_is_limit_of_map CategoryTheory.GlueData.vPullbackConeIsLimitOfMap
 
--- porting note: commenting out omit
--- omit H
-
 /-- If there is a forgetful functor into `Type` that preserves enough (co)limits, then `D.ι` will
 be jointly surjective. -/
 theorem ι_jointly_surjective (F : C ⥤ Type v) [PreservesColimit D.diagram.multispan F]

14b69e9f

chore(CategoryTheory): universe polymorphic CategoryTheory.Limits.Types.coproductIso (#8421)

Fixes a typo requiring matching universe levels in CategoryTheory.Limits.Types.coproductIso.

7c434b46

Diff

@@ -232,13 +232,13 @@ theorem types_π_surjective (D : GlueData (Type*)) : Function.Surjective D.π :=
   (epi_iff_surjective _).mp inferInstance
 #align category_theory.glue_data.types_π_surjective CategoryTheory.GlueData.types_π_surjective
 
-theorem types_ι_jointly_surjective (D : GlueData (Type*)) (x : D.glued) :
+theorem types_ι_jointly_surjective (D : GlueData (Type v)) (x : D.glued) :
     ∃ (i : _) (y : D.U i), D.ι i y = x := by
   delta CategoryTheory.GlueData.ι
   simp_rw [← Multicoequalizer.ι_sigmaπ D.diagram]
   rcases D.types_π_surjective x with ⟨x', rfl⟩
   --have := colimit.isoColimitCocone (Types.coproductColimitCocone _)
-  rw [← show (colimit.isoColimitCocone (Types.coproductColimitCocone _)).inv _ = x' from
+  rw [← show (colimit.isoColimitCocone (Types.coproductColimitCocone.{v, v} _)).inv _ = x' from
       ConcreteCategory.congr_hom
         (colimit.isoColimitCocone (Types.coproductColimitCocone _)).hom_inv_id x']
   rcases (colimit.isoColimitCocone (Types.coproductColimitCocone _)).hom x' with ⟨i, y⟩

14b69e9f

chore: missing spaces after rcases, convert and congrm (#7725)

Replace rcases( with rcases (. Same thing for convert( and congrm(. No other change.

c5594244

Diff

@@ -241,7 +241,7 @@ theorem types_ι_jointly_surjective (D : GlueData (Type*)) (x : D.glued) :
   rw [← show (colimit.isoColimitCocone (Types.coproductColimitCocone _)).inv _ = x' from
       ConcreteCategory.congr_hom
         (colimit.isoColimitCocone (Types.coproductColimitCocone _)).hom_inv_id x']
-  rcases(colimit.isoColimitCocone (Types.coproductColimitCocone _)).hom x' with ⟨i, y⟩
+  rcases (colimit.isoColimitCocone (Types.coproductColimitCocone _)).hom x' with ⟨i, y⟩
   exact ⟨i, y, by
     simp [← Multicoequalizer.ι_sigmaπ, -Multicoequalizer.ι_sigmaπ]
     rfl ⟩

14b69e9f

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

@@ -228,11 +228,11 @@ instance π_epi : Epi D.π := by
 
 end
 
-theorem types_π_surjective (D : GlueData (Type _)) : Function.Surjective D.π :=
+theorem types_π_surjective (D : GlueData (Type*)) : Function.Surjective D.π :=
   (epi_iff_surjective _).mp inferInstance
 #align category_theory.glue_data.types_π_surjective CategoryTheory.GlueData.types_π_surjective
 
-theorem types_ι_jointly_surjective (D : GlueData (Type _)) (x : D.glued) :
+theorem types_ι_jointly_surjective (D : GlueData (Type*)) (x : D.glued) :
     ∃ (i : _) (y : D.U i), D.ι i y = x := by
   delta CategoryTheory.GlueData.ι
   simp_rw [← Multicoequalizer.ι_sigmaπ D.diagram]

14b69e9f

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

@@ -2,11 +2,6 @@
 Copyright (c) 2021 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.glue_data
-! leanprover-community/mathlib commit 14b69e9f3c16630440a2cbd46f1ddad0d561dee7
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Tactic.CategoryTheory.Elementwise
 import Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer
@@ -14,6 +9,8 @@ import Mathlib.CategoryTheory.Limits.Constructions.EpiMono
 import Mathlib.CategoryTheory.Limits.Preserves.Limits
 import Mathlib.CategoryTheory.Limits.Shapes.Types
 
+#align_import category_theory.glue_data from "leanprover-community/mathlib"@"14b69e9f3c16630440a2cbd46f1ddad0d561dee7"
+
 /-!
 # Gluing data

14b69e9f

chore: fix many typos (#4983)

These are all doc fixes

54b72114

Diff

@@ -338,7 +338,7 @@ theorem diagramIso_inv_app_right (i : D.J) :
 
 variable [HasMulticoequalizer D.diagram] [PreservesColimit D.diagram.multispan F]
 
--- porting note: commented out omi
+-- porting note: commented out omit
 -- omit H
 
 theorem hasColimit_multispan_comp : HasColimit (D.diagram.multispan ⋙ F) :=

14b69e9f

chore: formatting issues (#4947)

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

5068808d

Diff

@@ -236,7 +236,7 @@ theorem types_π_surjective (D : GlueData (Type _)) : Function.Surjective D.π :
 #align category_theory.glue_data.types_π_surjective CategoryTheory.GlueData.types_π_surjective
 
 theorem types_ι_jointly_surjective (D : GlueData (Type _)) (x : D.glued) :
-    ∃ (i : _)(y : D.U i), D.ι i y = x := by
+    ∃ (i : _) (y : D.U i), D.ι i y = x := by
   delta CategoryTheory.GlueData.ι
   simp_rw [← Multicoequalizer.ι_sigmaπ D.diagram]
   rcases D.types_π_surjective x with ⟨x', rfl⟩
@@ -407,7 +407,7 @@ set_option linter.uppercaseLean3 false in
 be jointly surjective. -/
 theorem ι_jointly_surjective (F : C ⥤ Type v) [PreservesColimit D.diagram.multispan F]
     [∀ i j k : D.J, PreservesLimit (cospan (D.f i j) (D.f i k)) F] (x : F.obj D.glued) :
-    ∃ (i : _)(y : F.obj (D.U i)), F.map (D.ι i) y = x := by
+    ∃ (i : _) (y : F.obj (D.U i)), F.map (D.ι i) y = x := by
   let e := D.gluedIso F
   obtain ⟨i, y, eq⟩ := (D.mapGlueData F).types_ι_jointly_surjective (e.hom x)
   replace eq := congr_arg e.inv eq

14b69e9f

chore: add space after exacts (#4945)

Too often tempted to change these during other PRs, so doing a mass edit here.

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

bf799bb9

Diff

@@ -389,7 +389,7 @@ def vPullbackConeIsLimitOfMap (i j : D.J) [ReflectsLimit (cospan (D.ι i) (D.ι
     NatIso.ofComponents
       (fun x => by
         cases x
-        exacts[D.gluedIso F, Iso.refl _])
+        exacts [D.gluedIso F, Iso.refl _])
       (by rintro (_ | _) (_ | _) (_ | _ | _) <;> simp)
   apply IsLimit.postcomposeHomEquiv e _ _
   apply hc.ofIsoLimit

14b69e9f

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

@@ -396,7 +396,7 @@ def vPullbackConeIsLimitOfMap (i j : D.J) [ReflectsLimit (cospan (D.ι i) (D.ι
   refine' Cones.ext (Iso.refl _) _
   · rintro (_ | _ | _)
     change _ = _ ≫ (_ ≫ _) ≫ _
-    all_goals change _ = 𝟙 _ ≫ _ ≫ _; simp; aesop_cat
+    all_goals change _ = 𝟙 _ ≫ _ ≫ _; aesop_cat
 set_option linter.uppercaseLean3 false in
 #align category_theory.glue_data.V_pullback_cone_is_limit_of_map CategoryTheory.GlueData.vPullbackConeIsLimitOfMap

14b69e9f

chore: move category theory tactics to Tactic/CategoryTheory (#4461)

1fb02ec1

Diff

@@ -8,7 +8,7 @@ Authors: Andrew Yang
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
-import Mathlib.Tactic.Elementwise
+import Mathlib.Tactic.CategoryTheory.Elementwise
 import Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer
 import Mathlib.CategoryTheory.Limits.Constructions.EpiMono
 import Mathlib.CategoryTheory.Limits.Preserves.Limits

14b69e9f

feat: port CategoryTheory.GlueData (#3099)

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

8f189461

`category_theory.glue_data` ⟷ `Mathlib.CategoryTheory.GlueData`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 2 + 245

category_theory.glue_data ⟷ Mathlib.CategoryTheory.GlueData

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 2 + 245

`category_theory.glue_data` ⟷ `Mathlib.CategoryTheory.GlueData`