category_theory.limits.preserves.shapes.pullbacksMathlib.CategoryTheory.Limits.Preserves.Shapes.Pullbacks

This file has been ported!

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

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -3,8 +3,8 @@ Copyright (c) 2020 Bhavik Mehta. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta, Andrew Yang
 -/
-import Mathbin.CategoryTheory.Limits.Shapes.Pullbacks
-import Mathbin.CategoryTheory.Limits.Preserves.Basic
+import CategoryTheory.Limits.Shapes.Pullbacks
+import CategoryTheory.Limits.Preserves.Basic
 
 #align_import category_theory.limits.preserves.shapes.pullbacks from "leanprover-community/mathlib"@"f47581155c818e6361af4e4fda60d27d020c226b"
 
Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2020 Bhavik Mehta. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta, Andrew Yang
-
-! This file was ported from Lean 3 source module category_theory.limits.preserves.shapes.pullbacks
-! leanprover-community/mathlib commit f47581155c818e6361af4e4fda60d27d020c226b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Limits.Shapes.Pullbacks
 import Mathbin.CategoryTheory.Limits.Preserves.Basic
 
+#align_import category_theory.limits.preserves.shapes.pullbacks from "leanprover-community/mathlib"@"f47581155c818e6361af4e4fda60d27d020c226b"
+
 /-!
 # Preserving pullbacks
 
Diff
@@ -50,6 +50,7 @@ variable (G : C ⥤ D)
 
 variable {W X Y Z : C} {f : X ⟶ Z} {g : Y ⟶ Z} {h : W ⟶ X} {k : W ⟶ Y} (comm : h ≫ f = k ≫ g)
 
+#print CategoryTheory.Limits.isLimitMapConePullbackConeEquiv /-
 /-- The map of a pullback cone is a limit iff the fork consisting of the mapped morphisms is a
 limit. This essentially lets us commute `pullback_cone.mk` with `functor.map_cone`. -/
 def isLimitMapConePullbackConeEquiv :
@@ -62,27 +63,34 @@ def isLimitMapConePullbackConeEquiv :
       Cones.ext (Iso.refl _) <| by
         rintro (_ | _ | _) <;> dsimp <;> simp only [comp_id, id_comp, G.map_comp]
 #align category_theory.limits.is_limit_map_cone_pullback_cone_equiv CategoryTheory.Limits.isLimitMapConePullbackConeEquiv
+-/
 
+#print CategoryTheory.Limits.isLimitPullbackConeMapOfIsLimit /-
 /-- The property of preserving pullbacks expressed in terms of binary fans. -/
 def isLimitPullbackConeMapOfIsLimit [PreservesLimit (cospan f g) G]
     (l : IsLimit (PullbackCone.mk h k comm)) : IsLimit (PullbackCone.mk (G.map h) (G.map k) _) :=
   isLimitMapConePullbackConeEquiv G comm (PreservesLimit.preserves l)
 #align category_theory.limits.is_limit_pullback_cone_map_of_is_limit CategoryTheory.Limits.isLimitPullbackConeMapOfIsLimit
+-/
 
+#print CategoryTheory.Limits.isLimitOfIsLimitPullbackConeMap /-
 /-- The property of reflecting pullbacks expressed in terms of binary fans. -/
 def isLimitOfIsLimitPullbackConeMap [ReflectsLimit (cospan f g) G]
     (l : IsLimit (PullbackCone.mk (G.map h) (G.map k) _)) : IsLimit (PullbackCone.mk h k comm) :=
   ReflectsLimit.reflects ((isLimitMapConePullbackConeEquiv G comm).symm l)
 #align category_theory.limits.is_limit_of_is_limit_pullback_cone_map CategoryTheory.Limits.isLimitOfIsLimitPullbackConeMap
+-/
 
 variable (f g) [PreservesLimit (cospan f g) G]
 
+#print CategoryTheory.Limits.isLimitOfHasPullbackOfPreservesLimit /-
 /-- If `G` preserves pullbacks and `C` has them, then the pullback cone constructed of the mapped
 morphisms of the pullback cone is a limit. -/
 def isLimitOfHasPullbackOfPreservesLimit [HasPullback f g] :
     IsLimit (PullbackCone.mk (G.map pullback.fst) (G.map pullback.snd) _) :=
   isLimitPullbackConeMapOfIsLimit G _ (pullbackIsPullback f g)
 #align category_theory.limits.is_limit_of_has_pullback_of_preserves_limit CategoryTheory.Limits.isLimitOfHasPullbackOfPreservesLimit
+-/
 
 #print CategoryTheory.Limits.preservesPullbackSymmetry /-
 /-- If `F` preserves the pullback of `f, g`, it also preserves the pullback of `g, f`. -/
@@ -105,41 +113,53 @@ def preservesPullbackSymmetry : PreservesLimit (cospan g f) G
 #align category_theory.limits.preserves_pullback_symmetry CategoryTheory.Limits.preservesPullbackSymmetry
 -/
 
+#print CategoryTheory.Limits.hasPullback_of_preservesPullback /-
 theorem hasPullback_of_preservesPullback [HasPullback f g] : HasPullback (G.map f) (G.map g) :=
   ⟨⟨⟨_, isLimitPullbackConeMapOfIsLimit G _ (pullbackIsPullback _ _)⟩⟩⟩
 #align category_theory.limits.has_pullback_of_preserves_pullback CategoryTheory.Limits.hasPullback_of_preservesPullback
+-/
 
 variable [HasPullback f g] [HasPullback (G.map f) (G.map g)]
 
+#print CategoryTheory.Limits.PreservesPullback.iso /-
 /-- If `G` preserves the pullback of `(f,g)`, then the pullback comparison map for `G` at `(f,g)` is
 an isomorphism. -/
 def PreservesPullback.iso : G.obj (pullback f g) ≅ pullback (G.map f) (G.map g) :=
   IsLimit.conePointUniqueUpToIso (isLimitOfHasPullbackOfPreservesLimit G f g) (limit.isLimit _)
 #align category_theory.limits.preserves_pullback.iso CategoryTheory.Limits.PreservesPullback.iso
+-/
 
+#print CategoryTheory.Limits.PreservesPullback.iso_hom_fst /-
 @[reassoc]
 theorem PreservesPullback.iso_hom_fst :
     (PreservesPullback.iso G f g).Hom ≫ pullback.fst = G.map pullback.fst := by
   simp [preserves_pullback.iso]
 #align category_theory.limits.preserves_pullback.iso_hom_fst CategoryTheory.Limits.PreservesPullback.iso_hom_fst
+-/
 
+#print CategoryTheory.Limits.PreservesPullback.iso_hom_snd /-
 @[reassoc]
 theorem PreservesPullback.iso_hom_snd :
     (PreservesPullback.iso G f g).Hom ≫ pullback.snd = G.map pullback.snd := by
   simp [preserves_pullback.iso]
 #align category_theory.limits.preserves_pullback.iso_hom_snd CategoryTheory.Limits.PreservesPullback.iso_hom_snd
+-/
 
+#print CategoryTheory.Limits.PreservesPullback.iso_inv_fst /-
 @[simp, reassoc]
 theorem PreservesPullback.iso_inv_fst :
     (PreservesPullback.iso G f g).inv ≫ G.map pullback.fst = pullback.fst := by
   simp [preserves_pullback.iso, iso.inv_comp_eq]
 #align category_theory.limits.preserves_pullback.iso_inv_fst CategoryTheory.Limits.PreservesPullback.iso_inv_fst
+-/
 
+#print CategoryTheory.Limits.PreservesPullback.iso_inv_snd /-
 @[simp, reassoc]
 theorem PreservesPullback.iso_inv_snd :
     (PreservesPullback.iso G f g).inv ≫ G.map pullback.snd = pullback.snd := by
   simp [preserves_pullback.iso, iso.inv_comp_eq]
 #align category_theory.limits.preserves_pullback.iso_inv_snd CategoryTheory.Limits.PreservesPullback.iso_inv_snd
+-/
 
 end Pullback
 
@@ -153,6 +173,7 @@ variable (G : C ⥤ D)
 
 variable {W X Y Z : C} {h : X ⟶ Z} {k : Y ⟶ Z} {f : W ⟶ X} {g : W ⟶ Y} (comm : f ≫ h = g ≫ k)
 
+#print CategoryTheory.Limits.isColimitMapCoconePushoutCoconeEquiv /-
 /-- The map of a pushout cocone is a colimit iff the cofork consisting of the mapped morphisms is a
 colimit. This essentially lets us commute `pushout_cocone.mk` with `functor.map_cocone`. -/
 def isColimitMapCoconePushoutCoconeEquiv :
@@ -166,29 +187,36 @@ def isColimitMapCoconePushoutCoconeEquiv :
         rintro (_ | _ | _) <;> dsimp <;>
           simp only [category.comp_id, category.id_comp, ← G.map_comp]
 #align category_theory.limits.is_colimit_map_cocone_pushout_cocone_equiv CategoryTheory.Limits.isColimitMapCoconePushoutCoconeEquiv
+-/
 
+#print CategoryTheory.Limits.isColimitPushoutCoconeMapOfIsColimit /-
 /-- The property of preserving pushouts expressed in terms of binary cofans. -/
 def isColimitPushoutCoconeMapOfIsColimit [PreservesColimit (span f g) G]
     (l : IsColimit (PushoutCocone.mk h k comm)) :
     IsColimit (PushoutCocone.mk (G.map h) (G.map k) _) :=
   isColimitMapCoconePushoutCoconeEquiv G comm (PreservesColimit.preserves l)
 #align category_theory.limits.is_colimit_pushout_cocone_map_of_is_colimit CategoryTheory.Limits.isColimitPushoutCoconeMapOfIsColimit
+-/
 
+#print CategoryTheory.Limits.isColimitOfIsColimitPushoutCoconeMap /-
 /-- The property of reflecting pushouts expressed in terms of binary cofans. -/
 def isColimitOfIsColimitPushoutCoconeMap [ReflectsColimit (span f g) G]
     (l : IsColimit (PushoutCocone.mk (G.map h) (G.map k) _)) :
     IsColimit (PushoutCocone.mk h k comm) :=
   ReflectsColimit.reflects ((isColimitMapCoconePushoutCoconeEquiv G comm).symm l)
 #align category_theory.limits.is_colimit_of_is_colimit_pushout_cocone_map CategoryTheory.Limits.isColimitOfIsColimitPushoutCoconeMap
+-/
 
 variable (f g) [PreservesColimit (span f g) G]
 
+#print CategoryTheory.Limits.isColimitOfHasPushoutOfPreservesColimit /-
 /-- If `G` preserves pushouts and `C` has them, then the pushout cocone constructed of the mapped
 morphisms of the pushout cocone is a colimit. -/
 def isColimitOfHasPushoutOfPreservesColimit [HasPushout f g] :
     IsColimit (PushoutCocone.mk (G.map pushout.inl) (G.map pushout.inr) _) :=
   isColimitPushoutCoconeMapOfIsColimit G _ (pushoutIsPushout f g)
 #align category_theory.limits.is_colimit_of_has_pushout_of_preserves_colimit CategoryTheory.Limits.isColimitOfHasPushoutOfPreservesColimit
+-/
 
 #print CategoryTheory.Limits.preservesPushoutSymmetry /-
 /-- If `F` preserves the pushout of `f, g`, it also preserves the pushout of `g, f`. -/
@@ -208,42 +236,54 @@ def preservesPushoutSymmetry : PreservesColimit (span g f) G
 #align category_theory.limits.preserves_pushout_symmetry CategoryTheory.Limits.preservesPushoutSymmetry
 -/
 
+#print CategoryTheory.Limits.hasPushout_of_preservesPushout /-
 theorem hasPushout_of_preservesPushout [HasPushout f g] : HasPushout (G.map f) (G.map g) :=
   ⟨⟨⟨_, isColimitPushoutCoconeMapOfIsColimit G _ (pushoutIsPushout _ _)⟩⟩⟩
 #align category_theory.limits.has_pushout_of_preserves_pushout CategoryTheory.Limits.hasPushout_of_preservesPushout
+-/
 
 variable [HasPushout f g] [HasPushout (G.map f) (G.map g)]
 
+#print CategoryTheory.Limits.PreservesPushout.iso /-
 /-- If `G` preserves the pushout of `(f,g)`, then the pushout comparison map for `G` at `(f,g)` is
 an isomorphism. -/
 def PreservesPushout.iso : pushout (G.map f) (G.map g) ≅ G.obj (pushout f g) :=
   IsColimit.coconePointUniqueUpToIso (colimit.isColimit _)
     (isColimitOfHasPushoutOfPreservesColimit G f g)
 #align category_theory.limits.preserves_pushout.iso CategoryTheory.Limits.PreservesPushout.iso
+-/
 
+#print CategoryTheory.Limits.PreservesPushout.inl_iso_hom /-
 @[reassoc]
 theorem PreservesPushout.inl_iso_hom :
     pushout.inl ≫ (PreservesPushout.iso G f g).Hom = G.map pushout.inl := by
   delta preserves_pushout.iso; simp
 #align category_theory.limits.preserves_pushout.inl_iso_hom CategoryTheory.Limits.PreservesPushout.inl_iso_hom
+-/
 
+#print CategoryTheory.Limits.PreservesPushout.inr_iso_hom /-
 @[reassoc]
 theorem PreservesPushout.inr_iso_hom :
     pushout.inr ≫ (PreservesPushout.iso G f g).Hom = G.map pushout.inr := by
   delta preserves_pushout.iso; simp
 #align category_theory.limits.preserves_pushout.inr_iso_hom CategoryTheory.Limits.PreservesPushout.inr_iso_hom
+-/
 
+#print CategoryTheory.Limits.PreservesPushout.inl_iso_inv /-
 @[simp, reassoc]
 theorem PreservesPushout.inl_iso_inv :
     G.map pushout.inl ≫ (PreservesPushout.iso G f g).inv = pushout.inl := by
   simp [preserves_pushout.iso, iso.comp_inv_eq]
 #align category_theory.limits.preserves_pushout.inl_iso_inv CategoryTheory.Limits.PreservesPushout.inl_iso_inv
+-/
 
+#print CategoryTheory.Limits.PreservesPushout.inr_iso_inv /-
 @[simp, reassoc]
 theorem PreservesPushout.inr_iso_inv :
     G.map pushout.inr ≫ (PreservesPushout.iso G f g).inv = pushout.inr := by
   simp [preserves_pushout.iso, iso.comp_inv_eq]
 #align category_theory.limits.preserves_pushout.inr_iso_inv CategoryTheory.Limits.PreservesPushout.inr_iso_inv
+-/
 
 end Pushout
 
@@ -261,6 +301,7 @@ variable {X Y Z : C} {f : X ⟶ Z} {g : Y ⟶ Z}
 
 variable [HasPullback f g] [HasPullback (G.map f) (G.map g)]
 
+#print CategoryTheory.Limits.PreservesPullback.ofIsoComparison /-
 /-- If the pullback comparison map for `G` at `(f,g)` is an isomorphism, then `G` preserves the
 pullback of `(f,g)`. -/
 def PreservesPullback.ofIsoComparison [i : IsIso (pullbackComparison G f g)] :
@@ -271,13 +312,16 @@ def PreservesPullback.ofIsoComparison [i : IsIso (pullbackComparison G f g)] :
   apply is_limit.of_point_iso (limit.is_limit (cospan (G.map f) (G.map g)))
   apply i
 #align category_theory.limits.preserves_pullback.of_iso_comparison CategoryTheory.Limits.PreservesPullback.ofIsoComparison
+-/
 
 variable [PreservesLimit (cospan f g) G]
 
+#print CategoryTheory.Limits.PreservesPullback.iso_hom /-
 @[simp]
 theorem PreservesPullback.iso_hom : (PreservesPullback.iso G f g).Hom = pullbackComparison G f g :=
   rfl
 #align category_theory.limits.preserves_pullback.iso_hom CategoryTheory.Limits.PreservesPullback.iso_hom
+-/
 
 instance : IsIso (pullbackComparison G f g) :=
   by
@@ -292,6 +336,7 @@ variable {X Y Z : C} {f : X ⟶ Y} {g : X ⟶ Z}
 
 variable [HasPushout f g] [HasPushout (G.map f) (G.map g)]
 
+#print CategoryTheory.Limits.PreservesPushout.ofIsoComparison /-
 /-- If the pushout comparison map for `G` at `(f,g)` is an isomorphism, then `G` preserves the
 pushout of `(f,g)`. -/
 def PreservesPushout.ofIsoComparison [i : IsIso (pushoutComparison G f g)] :
@@ -302,13 +347,16 @@ def PreservesPushout.ofIsoComparison [i : IsIso (pushoutComparison G f g)] :
   apply is_colimit.of_point_iso (colimit.is_colimit (span (G.map f) (G.map g)))
   apply i
 #align category_theory.limits.preserves_pushout.of_iso_comparison CategoryTheory.Limits.PreservesPushout.ofIsoComparison
+-/
 
 variable [PreservesColimit (span f g) G]
 
+#print CategoryTheory.Limits.PreservesPushout.iso_hom /-
 @[simp]
 theorem PreservesPushout.iso_hom : (PreservesPushout.iso G f g).Hom = pushoutComparison G f g :=
   rfl
 #align category_theory.limits.preserves_pushout.iso_hom CategoryTheory.Limits.PreservesPushout.iso_hom
+-/
 
 instance : IsIso (pushoutComparison G f g) :=
   by
Diff
@@ -50,9 +50,6 @@ variable (G : C ⥤ D)
 
 variable {W X Y Z : C} {f : X ⟶ Z} {g : Y ⟶ Z} {h : W ⟶ X} {k : W ⟶ Y} (comm : h ≫ f = k ≫ g)
 
-/- warning: category_theory.limits.is_limit_map_cone_pullback_cone_equiv -> CategoryTheory.Limits.isLimitMapConePullbackConeEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_limit_map_cone_pullback_cone_equiv CategoryTheory.Limits.isLimitMapConePullbackConeEquivₓ'. -/
 /-- The map of a pullback cone is a limit iff the fork consisting of the mapped morphisms is a
 limit. This essentially lets us commute `pullback_cone.mk` with `functor.map_cone`. -/
 def isLimitMapConePullbackConeEquiv :
@@ -66,18 +63,12 @@ def isLimitMapConePullbackConeEquiv :
         rintro (_ | _ | _) <;> dsimp <;> simp only [comp_id, id_comp, G.map_comp]
 #align category_theory.limits.is_limit_map_cone_pullback_cone_equiv CategoryTheory.Limits.isLimitMapConePullbackConeEquiv
 
-/- warning: category_theory.limits.is_limit_pullback_cone_map_of_is_limit -> CategoryTheory.Limits.isLimitPullbackConeMapOfIsLimit is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_limit_pullback_cone_map_of_is_limit CategoryTheory.Limits.isLimitPullbackConeMapOfIsLimitₓ'. -/
 /-- The property of preserving pullbacks expressed in terms of binary fans. -/
 def isLimitPullbackConeMapOfIsLimit [PreservesLimit (cospan f g) G]
     (l : IsLimit (PullbackCone.mk h k comm)) : IsLimit (PullbackCone.mk (G.map h) (G.map k) _) :=
   isLimitMapConePullbackConeEquiv G comm (PreservesLimit.preserves l)
 #align category_theory.limits.is_limit_pullback_cone_map_of_is_limit CategoryTheory.Limits.isLimitPullbackConeMapOfIsLimit
 
-/- warning: category_theory.limits.is_limit_of_is_limit_pullback_cone_map -> CategoryTheory.Limits.isLimitOfIsLimitPullbackConeMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_limit_of_is_limit_pullback_cone_map CategoryTheory.Limits.isLimitOfIsLimitPullbackConeMapₓ'. -/
 /-- The property of reflecting pullbacks expressed in terms of binary fans. -/
 def isLimitOfIsLimitPullbackConeMap [ReflectsLimit (cospan f g) G]
     (l : IsLimit (PullbackCone.mk (G.map h) (G.map k) _)) : IsLimit (PullbackCone.mk h k comm) :=
@@ -86,9 +77,6 @@ def isLimitOfIsLimitPullbackConeMap [ReflectsLimit (cospan f g) G]
 
 variable (f g) [PreservesLimit (cospan f g) G]
 
-/- warning: category_theory.limits.is_limit_of_has_pullback_of_preserves_limit -> CategoryTheory.Limits.isLimitOfHasPullbackOfPreservesLimit is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_limit_of_has_pullback_of_preserves_limit CategoryTheory.Limits.isLimitOfHasPullbackOfPreservesLimitₓ'. -/
 /-- If `G` preserves pullbacks and `C` has them, then the pullback cone constructed of the mapped
 morphisms of the pullback cone is a limit. -/
 def isLimitOfHasPullbackOfPreservesLimit [HasPullback f g] :
@@ -117,60 +105,36 @@ def preservesPullbackSymmetry : PreservesLimit (cospan g f) G
 #align category_theory.limits.preserves_pullback_symmetry CategoryTheory.Limits.preservesPullbackSymmetry
 -/
 
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 theorem hasPullback_of_preservesPullback [HasPullback f g] : HasPullback (G.map f) (G.map g) :=
   ⟨⟨⟨_, isLimitPullbackConeMapOfIsLimit G _ (pullbackIsPullback _ _)⟩⟩⟩
 #align category_theory.limits.has_pullback_of_preserves_pullback CategoryTheory.Limits.hasPullback_of_preservesPullback
 
 variable [HasPullback f g] [HasPullback (G.map f) (G.map g)]
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso CategoryTheory.Limits.PreservesPullback.isoₓ'. -/
 /-- If `G` preserves the pullback of `(f,g)`, then the pullback comparison map for `G` at `(f,g)` is
 an isomorphism. -/
 def PreservesPullback.iso : G.obj (pullback f g) ≅ pullback (G.map f) (G.map g) :=
   IsLimit.conePointUniqueUpToIso (isLimitOfHasPullbackOfPreservesLimit G f g) (limit.isLimit _)
 #align category_theory.limits.preserves_pullback.iso CategoryTheory.Limits.PreservesPullback.iso
 
-/- warning: category_theory.limits.preserves_pullback.iso_hom_fst -> CategoryTheory.Limits.PreservesPullback.iso_hom_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_hom_fst CategoryTheory.Limits.PreservesPullback.iso_hom_fstₓ'. -/
 @[reassoc]
 theorem PreservesPullback.iso_hom_fst :
     (PreservesPullback.iso G f g).Hom ≫ pullback.fst = G.map pullback.fst := by
   simp [preserves_pullback.iso]
 #align category_theory.limits.preserves_pullback.iso_hom_fst CategoryTheory.Limits.PreservesPullback.iso_hom_fst
 
-/- warning: category_theory.limits.preserves_pullback.iso_hom_snd -> CategoryTheory.Limits.PreservesPullback.iso_hom_snd is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_hom_snd CategoryTheory.Limits.PreservesPullback.iso_hom_sndₓ'. -/
 @[reassoc]
 theorem PreservesPullback.iso_hom_snd :
     (PreservesPullback.iso G f g).Hom ≫ pullback.snd = G.map pullback.snd := by
   simp [preserves_pullback.iso]
 #align category_theory.limits.preserves_pullback.iso_hom_snd CategoryTheory.Limits.PreservesPullback.iso_hom_snd
 
-/- warning: category_theory.limits.preserves_pullback.iso_inv_fst -> CategoryTheory.Limits.PreservesPullback.iso_inv_fst is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_inv_fst CategoryTheory.Limits.PreservesPullback.iso_inv_fstₓ'. -/
 @[simp, reassoc]
 theorem PreservesPullback.iso_inv_fst :
     (PreservesPullback.iso G f g).inv ≫ G.map pullback.fst = pullback.fst := by
   simp [preserves_pullback.iso, iso.inv_comp_eq]
 #align category_theory.limits.preserves_pullback.iso_inv_fst CategoryTheory.Limits.PreservesPullback.iso_inv_fst
 
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-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_inv_snd CategoryTheory.Limits.PreservesPullback.iso_inv_sndₓ'. -/
 @[simp, reassoc]
 theorem PreservesPullback.iso_inv_snd :
     (PreservesPullback.iso G f g).inv ≫ G.map pullback.snd = pullback.snd := by
@@ -189,9 +153,6 @@ variable (G : C ⥤ D)
 
 variable {W X Y Z : C} {h : X ⟶ Z} {k : Y ⟶ Z} {f : W ⟶ X} {g : W ⟶ Y} (comm : f ≫ h = g ≫ k)
 
-/- warning: category_theory.limits.is_colimit_map_cocone_pushout_cocone_equiv -> CategoryTheory.Limits.isColimitMapCoconePushoutCoconeEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_colimit_map_cocone_pushout_cocone_equiv CategoryTheory.Limits.isColimitMapCoconePushoutCoconeEquivₓ'. -/
 /-- The map of a pushout cocone is a colimit iff the cofork consisting of the mapped morphisms is a
 colimit. This essentially lets us commute `pushout_cocone.mk` with `functor.map_cocone`. -/
 def isColimitMapCoconePushoutCoconeEquiv :
@@ -206,9 +167,6 @@ def isColimitMapCoconePushoutCoconeEquiv :
           simp only [category.comp_id, category.id_comp, ← G.map_comp]
 #align category_theory.limits.is_colimit_map_cocone_pushout_cocone_equiv CategoryTheory.Limits.isColimitMapCoconePushoutCoconeEquiv
 
-/- warning: category_theory.limits.is_colimit_pushout_cocone_map_of_is_colimit -> CategoryTheory.Limits.isColimitPushoutCoconeMapOfIsColimit is a dubious translation:
-<too large>
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 /-- The property of preserving pushouts expressed in terms of binary cofans. -/
 def isColimitPushoutCoconeMapOfIsColimit [PreservesColimit (span f g) G]
     (l : IsColimit (PushoutCocone.mk h k comm)) :
@@ -216,9 +174,6 @@ def isColimitPushoutCoconeMapOfIsColimit [PreservesColimit (span f g) G]
   isColimitMapCoconePushoutCoconeEquiv G comm (PreservesColimit.preserves l)
 #align category_theory.limits.is_colimit_pushout_cocone_map_of_is_colimit CategoryTheory.Limits.isColimitPushoutCoconeMapOfIsColimit
 
-/- warning: category_theory.limits.is_colimit_of_is_colimit_pushout_cocone_map -> CategoryTheory.Limits.isColimitOfIsColimitPushoutCoconeMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_colimit_of_is_colimit_pushout_cocone_map CategoryTheory.Limits.isColimitOfIsColimitPushoutCoconeMapₓ'. -/
 /-- The property of reflecting pushouts expressed in terms of binary cofans. -/
 def isColimitOfIsColimitPushoutCoconeMap [ReflectsColimit (span f g) G]
     (l : IsColimit (PushoutCocone.mk (G.map h) (G.map k) _)) :
@@ -228,9 +183,6 @@ def isColimitOfIsColimitPushoutCoconeMap [ReflectsColimit (span f g) G]
 
 variable (f g) [PreservesColimit (span f g) G]
 
-/- warning: category_theory.limits.is_colimit_of_has_pushout_of_preserves_colimit -> CategoryTheory.Limits.isColimitOfHasPushoutOfPreservesColimit is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_colimit_of_has_pushout_of_preserves_colimit CategoryTheory.Limits.isColimitOfHasPushoutOfPreservesColimitₓ'. -/
 /-- If `G` preserves pushouts and `C` has them, then the pushout cocone constructed of the mapped
 morphisms of the pushout cocone is a colimit. -/
 def isColimitOfHasPushoutOfPreservesColimit [HasPushout f g] :
@@ -256,24 +208,12 @@ def preservesPushoutSymmetry : PreservesColimit (span g f) G
 #align category_theory.limits.preserves_pushout_symmetry CategoryTheory.Limits.preservesPushoutSymmetry
 -/
 
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 theorem hasPushout_of_preservesPushout [HasPushout f g] : HasPushout (G.map f) (G.map g) :=
   ⟨⟨⟨_, isColimitPushoutCoconeMapOfIsColimit G _ (pushoutIsPushout _ _)⟩⟩⟩
 #align category_theory.limits.has_pushout_of_preserves_pushout CategoryTheory.Limits.hasPushout_of_preservesPushout
 
 variable [HasPushout f g] [HasPushout (G.map f) (G.map g)]
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.iso CategoryTheory.Limits.PreservesPushout.isoₓ'. -/
 /-- If `G` preserves the pushout of `(f,g)`, then the pushout comparison map for `G` at `(f,g)` is
 an isomorphism. -/
 def PreservesPushout.iso : pushout (G.map f) (G.map g) ≅ G.obj (pushout f g) :=
@@ -281,36 +221,24 @@ def PreservesPushout.iso : pushout (G.map f) (G.map g) ≅ G.obj (pushout f g) :
     (isColimitOfHasPushoutOfPreservesColimit G f g)
 #align category_theory.limits.preserves_pushout.iso CategoryTheory.Limits.PreservesPushout.iso
 
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-<too large>
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 @[reassoc]
 theorem PreservesPushout.inl_iso_hom :
     pushout.inl ≫ (PreservesPushout.iso G f g).Hom = G.map pushout.inl := by
   delta preserves_pushout.iso; simp
 #align category_theory.limits.preserves_pushout.inl_iso_hom CategoryTheory.Limits.PreservesPushout.inl_iso_hom
 
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 @[reassoc]
 theorem PreservesPushout.inr_iso_hom :
     pushout.inr ≫ (PreservesPushout.iso G f g).Hom = G.map pushout.inr := by
   delta preserves_pushout.iso; simp
 #align category_theory.limits.preserves_pushout.inr_iso_hom CategoryTheory.Limits.PreservesPushout.inr_iso_hom
 
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 @[simp, reassoc]
 theorem PreservesPushout.inl_iso_inv :
     G.map pushout.inl ≫ (PreservesPushout.iso G f g).inv = pushout.inl := by
   simp [preserves_pushout.iso, iso.comp_inv_eq]
 #align category_theory.limits.preserves_pushout.inl_iso_inv CategoryTheory.Limits.PreservesPushout.inl_iso_inv
 
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 @[simp, reassoc]
 theorem PreservesPushout.inr_iso_inv :
     G.map pushout.inr ≫ (PreservesPushout.iso G f g).inv = pushout.inr := by
@@ -333,12 +261,6 @@ variable {X Y Z : C} {f : X ⟶ Z} {g : Y ⟶ Z}
 
 variable [HasPullback f g] [HasPullback (G.map f) (G.map g)]
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.of_iso_comparison CategoryTheory.Limits.PreservesPullback.ofIsoComparisonₓ'. -/
 /-- If the pullback comparison map for `G` at `(f,g)` is an isomorphism, then `G` preserves the
 pullback of `(f,g)`. -/
 def PreservesPullback.ofIsoComparison [i : IsIso (pullbackComparison G f g)] :
@@ -352,9 +274,6 @@ def PreservesPullback.ofIsoComparison [i : IsIso (pullbackComparison G f g)] :
 
 variable [PreservesLimit (cospan f g) G]
 
-/- warning: category_theory.limits.preserves_pullback.iso_hom -> CategoryTheory.Limits.PreservesPullback.iso_hom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_hom CategoryTheory.Limits.PreservesPullback.iso_homₓ'. -/
 @[simp]
 theorem PreservesPullback.iso_hom : (PreservesPullback.iso G f g).Hom = pullbackComparison G f g :=
   rfl
@@ -373,12 +292,6 @@ variable {X Y Z : C} {f : X ⟶ Y} {g : X ⟶ Z}
 
 variable [HasPushout f g] [HasPushout (G.map f) (G.map g)]
 
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-Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.of_iso_comparison CategoryTheory.Limits.PreservesPushout.ofIsoComparisonₓ'. -/
 /-- If the pushout comparison map for `G` at `(f,g)` is an isomorphism, then `G` preserves the
 pushout of `(f,g)`. -/
 def PreservesPushout.ofIsoComparison [i : IsIso (pushoutComparison G f g)] :
@@ -392,9 +305,6 @@ def PreservesPushout.ofIsoComparison [i : IsIso (pushoutComparison G f g)] :
 
 variable [PreservesColimit (span f g) G]
 
-/- warning: category_theory.limits.preserves_pushout.iso_hom -> CategoryTheory.Limits.PreservesPushout.iso_hom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.iso_hom CategoryTheory.Limits.PreservesPushout.iso_homₓ'. -/
 @[simp]
 theorem PreservesPushout.iso_hom : (PreservesPushout.iso G f g).Hom = pushoutComparison G f g :=
   rfl
Diff
@@ -106,8 +106,7 @@ def preservesPullbackSymmetry : PreservesLimit (cospan g f) G
     apply pullback_cone.flip_is_limit
     apply (is_limit_map_cone_pullback_cone_equiv _ _).toFun
     · apply (config := { instances := false }) preserves_limit.preserves
-      · dsimp
-        infer_instance
+      · dsimp; infer_instance
       apply pullback_cone.flip_is_limit
       apply is_limit.of_iso_limit _ (pullback_cone.iso_mk _)
       exact (is_limit.postcompose_hom_equiv (diagramIsoCospan.{v₁} _) _).invFun hc
@@ -249,8 +248,7 @@ def preservesPushoutSymmetry : PreservesColimit (span g f) G
     apply pushout_cocone.flip_is_colimit
     apply (is_colimit_map_cocone_pushout_cocone_equiv _ _).toFun
     · apply (config := { instances := false }) preserves_colimit.preserves
-      · dsimp
-        infer_instance
+      · dsimp; infer_instance
       apply pushout_cocone.flip_is_colimit
       apply is_colimit.of_iso_colimit _ (pushout_cocone.iso_mk _)
       exact (is_colimit.precompose_hom_equiv (diagramIsoSpan.{v₁} _) _).invFun hc
@@ -288,10 +286,8 @@ def PreservesPushout.iso : pushout (G.map f) (G.map g) ≅ G.obj (pushout f g) :
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.inl_iso_hom CategoryTheory.Limits.PreservesPushout.inl_iso_homₓ'. -/
 @[reassoc]
 theorem PreservesPushout.inl_iso_hom :
-    pushout.inl ≫ (PreservesPushout.iso G f g).Hom = G.map pushout.inl :=
-  by
-  delta preserves_pushout.iso
-  simp
+    pushout.inl ≫ (PreservesPushout.iso G f g).Hom = G.map pushout.inl := by
+  delta preserves_pushout.iso; simp
 #align category_theory.limits.preserves_pushout.inl_iso_hom CategoryTheory.Limits.PreservesPushout.inl_iso_hom
 
 /- warning: category_theory.limits.preserves_pushout.inr_iso_hom -> CategoryTheory.Limits.PreservesPushout.inr_iso_hom is a dubious translation:
@@ -299,10 +295,8 @@ theorem PreservesPushout.inl_iso_hom :
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.inr_iso_hom CategoryTheory.Limits.PreservesPushout.inr_iso_homₓ'. -/
 @[reassoc]
 theorem PreservesPushout.inr_iso_hom :
-    pushout.inr ≫ (PreservesPushout.iso G f g).Hom = G.map pushout.inr :=
-  by
-  delta preserves_pushout.iso
-  simp
+    pushout.inr ≫ (PreservesPushout.iso G f g).Hom = G.map pushout.inr := by
+  delta preserves_pushout.iso; simp
 #align category_theory.limits.preserves_pushout.inr_iso_hom CategoryTheory.Limits.PreservesPushout.inr_iso_hom
 
 /- warning: category_theory.limits.preserves_pushout.inl_iso_inv -> CategoryTheory.Limits.PreservesPushout.inl_iso_inv is a dubious translation:
Diff
@@ -51,10 +51,7 @@ variable (G : C ⥤ D)
 variable {W X Y Z : C} {f : X ⟶ Z} {g : Y ⟶ Z} {h : W ⟶ X} {k : W ⟶ Y} (comm : h ≫ f = k ≫ g)
 
 /- warning: category_theory.limits.is_limit_map_cone_pullback_cone_equiv -> CategoryTheory.Limits.isLimitMapConePullbackConeEquiv is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_limit_map_cone_pullback_cone_equiv CategoryTheory.Limits.isLimitMapConePullbackConeEquivₓ'. -/
 /-- The map of a pullback cone is a limit iff the fork consisting of the mapped morphisms is a
 limit. This essentially lets us commute `pullback_cone.mk` with `functor.map_cone`. -/
@@ -70,10 +67,7 @@ def isLimitMapConePullbackConeEquiv :
 #align category_theory.limits.is_limit_map_cone_pullback_cone_equiv CategoryTheory.Limits.isLimitMapConePullbackConeEquiv
 
 /- warning: category_theory.limits.is_limit_pullback_cone_map_of_is_limit -> CategoryTheory.Limits.isLimitPullbackConeMapOfIsLimit is a dubious translation:
-lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_limit_pullback_cone_map_of_is_limit CategoryTheory.Limits.isLimitPullbackConeMapOfIsLimitₓ'. -/
 /-- The property of preserving pullbacks expressed in terms of binary fans. -/
 def isLimitPullbackConeMapOfIsLimit [PreservesLimit (cospan f g) G]
@@ -82,10 +76,7 @@ def isLimitPullbackConeMapOfIsLimit [PreservesLimit (cospan f g) G]
 #align category_theory.limits.is_limit_pullback_cone_map_of_is_limit CategoryTheory.Limits.isLimitPullbackConeMapOfIsLimit
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_limit_of_is_limit_pullback_cone_map CategoryTheory.Limits.isLimitOfIsLimitPullbackConeMapₓ'. -/
 /-- The property of reflecting pullbacks expressed in terms of binary fans. -/
 def isLimitOfIsLimitPullbackConeMap [ReflectsLimit (cospan f g) G]
@@ -96,10 +87,7 @@ def isLimitOfIsLimitPullbackConeMap [ReflectsLimit (cospan f g) G]
 variable (f g) [PreservesLimit (cospan f g) G]
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_limit_of_has_pullback_of_preserves_limit CategoryTheory.Limits.isLimitOfHasPullbackOfPreservesLimitₓ'. -/
 /-- If `G` preserves pullbacks and `C` has them, then the pullback cone constructed of the mapped
 morphisms of the pullback cone is a limit. -/
@@ -155,10 +143,7 @@ def PreservesPullback.iso : G.obj (pullback f g) ≅ pullback (G.map f) (G.map g
 #align category_theory.limits.preserves_pullback.iso CategoryTheory.Limits.PreservesPullback.iso
 
 /- warning: category_theory.limits.preserves_pullback.iso_hom_fst -> CategoryTheory.Limits.PreservesPullback.iso_hom_fst is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_hom_fst CategoryTheory.Limits.PreservesPullback.iso_hom_fstₓ'. -/
 @[reassoc]
 theorem PreservesPullback.iso_hom_fst :
@@ -167,10 +152,7 @@ theorem PreservesPullback.iso_hom_fst :
 #align category_theory.limits.preserves_pullback.iso_hom_fst CategoryTheory.Limits.PreservesPullback.iso_hom_fst
 
 /- warning: category_theory.limits.preserves_pullback.iso_hom_snd -> CategoryTheory.Limits.PreservesPullback.iso_hom_snd is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_hom_snd CategoryTheory.Limits.PreservesPullback.iso_hom_sndₓ'. -/
 @[reassoc]
 theorem PreservesPullback.iso_hom_snd :
@@ -179,10 +161,7 @@ theorem PreservesPullback.iso_hom_snd :
 #align category_theory.limits.preserves_pullback.iso_hom_snd CategoryTheory.Limits.PreservesPullback.iso_hom_snd
 
 /- warning: category_theory.limits.preserves_pullback.iso_inv_fst -> CategoryTheory.Limits.PreservesPullback.iso_inv_fst is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_inv_fst CategoryTheory.Limits.PreservesPullback.iso_inv_fstₓ'. -/
 @[simp, reassoc]
 theorem PreservesPullback.iso_inv_fst :
@@ -191,10 +170,7 @@ theorem PreservesPullback.iso_inv_fst :
 #align category_theory.limits.preserves_pullback.iso_inv_fst CategoryTheory.Limits.PreservesPullback.iso_inv_fst
 
 /- warning: category_theory.limits.preserves_pullback.iso_inv_snd -> CategoryTheory.Limits.PreservesPullback.iso_inv_snd is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_inv_snd CategoryTheory.Limits.PreservesPullback.iso_inv_sndₓ'. -/
 @[simp, reassoc]
 theorem PreservesPullback.iso_inv_snd :
@@ -215,10 +191,7 @@ variable (G : C ⥤ D)
 variable {W X Y Z : C} {h : X ⟶ Z} {k : Y ⟶ Z} {f : W ⟶ X} {g : W ⟶ Y} (comm : f ≫ h = g ≫ k)
 
 /- warning: category_theory.limits.is_colimit_map_cocone_pushout_cocone_equiv -> CategoryTheory.Limits.isColimitMapCoconePushoutCoconeEquiv is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_colimit_map_cocone_pushout_cocone_equiv CategoryTheory.Limits.isColimitMapCoconePushoutCoconeEquivₓ'. -/
 /-- The map of a pushout cocone is a colimit iff the cofork consisting of the mapped morphisms is a
 colimit. This essentially lets us commute `pushout_cocone.mk` with `functor.map_cocone`. -/
@@ -235,10 +208,7 @@ def isColimitMapCoconePushoutCoconeEquiv :
 #align category_theory.limits.is_colimit_map_cocone_pushout_cocone_equiv CategoryTheory.Limits.isColimitMapCoconePushoutCoconeEquiv
 
 /- warning: category_theory.limits.is_colimit_pushout_cocone_map_of_is_colimit -> CategoryTheory.Limits.isColimitPushoutCoconeMapOfIsColimit is a dubious translation:
-lean 3 declaration is
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_colimit_pushout_cocone_map_of_is_colimit CategoryTheory.Limits.isColimitPushoutCoconeMapOfIsColimitₓ'. -/
 /-- The property of preserving pushouts expressed in terms of binary cofans. -/
 def isColimitPushoutCoconeMapOfIsColimit [PreservesColimit (span f g) G]
@@ -248,10 +218,7 @@ def isColimitPushoutCoconeMapOfIsColimit [PreservesColimit (span f g) G]
 #align category_theory.limits.is_colimit_pushout_cocone_map_of_is_colimit CategoryTheory.Limits.isColimitPushoutCoconeMapOfIsColimit
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_colimit_of_is_colimit_pushout_cocone_map CategoryTheory.Limits.isColimitOfIsColimitPushoutCoconeMapₓ'. -/
 /-- The property of reflecting pushouts expressed in terms of binary cofans. -/
 def isColimitOfIsColimitPushoutCoconeMap [ReflectsColimit (span f g) G]
@@ -263,10 +230,7 @@ def isColimitOfIsColimitPushoutCoconeMap [ReflectsColimit (span f g) G]
 variable (f g) [PreservesColimit (span f g) G]
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_colimit_of_has_pushout_of_preserves_colimit CategoryTheory.Limits.isColimitOfHasPushoutOfPreservesColimitₓ'. -/
 /-- If `G` preserves pushouts and `C` has them, then the pushout cocone constructed of the mapped
 morphisms of the pushout cocone is a colimit. -/
@@ -320,10 +284,7 @@ def PreservesPushout.iso : pushout (G.map f) (G.map g) ≅ G.obj (pushout f g) :
 #align category_theory.limits.preserves_pushout.iso CategoryTheory.Limits.PreservesPushout.iso
 
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.inl_iso_hom CategoryTheory.Limits.PreservesPushout.inl_iso_homₓ'. -/
 @[reassoc]
 theorem PreservesPushout.inl_iso_hom :
@@ -334,10 +295,7 @@ theorem PreservesPushout.inl_iso_hom :
 #align category_theory.limits.preserves_pushout.inl_iso_hom CategoryTheory.Limits.PreservesPushout.inl_iso_hom
 
 /- warning: category_theory.limits.preserves_pushout.inr_iso_hom -> CategoryTheory.Limits.PreservesPushout.inr_iso_hom is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.inr_iso_hom CategoryTheory.Limits.PreservesPushout.inr_iso_homₓ'. -/
 @[reassoc]
 theorem PreservesPushout.inr_iso_hom :
@@ -348,10 +306,7 @@ theorem PreservesPushout.inr_iso_hom :
 #align category_theory.limits.preserves_pushout.inr_iso_hom CategoryTheory.Limits.PreservesPushout.inr_iso_hom
 
 /- warning: category_theory.limits.preserves_pushout.inl_iso_inv -> CategoryTheory.Limits.PreservesPushout.inl_iso_inv is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.inl_iso_inv CategoryTheory.Limits.PreservesPushout.inl_iso_invₓ'. -/
 @[simp, reassoc]
 theorem PreservesPushout.inl_iso_inv :
@@ -360,10 +315,7 @@ theorem PreservesPushout.inl_iso_inv :
 #align category_theory.limits.preserves_pushout.inl_iso_inv CategoryTheory.Limits.PreservesPushout.inl_iso_inv
 
 /- warning: category_theory.limits.preserves_pushout.inr_iso_inv -> CategoryTheory.Limits.PreservesPushout.inr_iso_inv is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.inr_iso_inv CategoryTheory.Limits.PreservesPushout.inr_iso_invₓ'. -/
 @[simp, reassoc]
 theorem PreservesPushout.inr_iso_inv :
@@ -407,10 +359,7 @@ def PreservesPullback.ofIsoComparison [i : IsIso (pullbackComparison G f g)] :
 variable [PreservesLimit (cospan f g) G]
 
 /- warning: category_theory.limits.preserves_pullback.iso_hom -> CategoryTheory.Limits.PreservesPullback.iso_hom is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_hom CategoryTheory.Limits.PreservesPullback.iso_homₓ'. -/
 @[simp]
 theorem PreservesPullback.iso_hom : (PreservesPullback.iso G f g).Hom = pullbackComparison G f g :=
@@ -450,10 +399,7 @@ def PreservesPushout.ofIsoComparison [i : IsIso (pushoutComparison G f g)] :
 variable [PreservesColimit (span f g) G]
 
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_inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 D _inst_2 G) X Y f) (Prefunctor.map.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 D _inst_2 G) X Z g)] [_inst_5 : CategoryTheory.Limits.PreservesColimit.{0, 0, u1, u1, u2, u3} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.span.{u1, u2} C _inst_1 X Y Z f g) G], Eq.{succ u1} (Quiver.Hom.{succ u1, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_2)) (CategoryTheory.Limits.pushout.{u1, u3} D _inst_2 (Prefunctor.obj.{succ u1, succ u1, u2, u3} C 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_inst_1 D _inst_2 G) Z) (Prefunctor.map.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 D _inst_2 G) X Y f) (Prefunctor.map.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 D _inst_2 G) X Z g) _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)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 D _inst_2 G) (CategoryTheory.Limits.pushout.{u1, u2} C _inst_1 X Y Z f g _inst_3))) (CategoryTheory.Iso.hom.{u1, u3} D _inst_2 (CategoryTheory.Limits.pushout.{u1, u3} D _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)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 D _inst_2 G) Y) (Prefunctor.obj.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 D _inst_2 G) Z) (Prefunctor.map.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 D _inst_2 G) X Y f) (Prefunctor.map.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 D _inst_2 G) X Z g) _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)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 D _inst_2 G) (CategoryTheory.Limits.pushout.{u1, u2} C _inst_1 X Y Z f g _inst_3)) (CategoryTheory.Limits.PreservesPushout.iso.{u1, u1, u2, u3} C _inst_1 D _inst_2 G X Y Z f g _inst_5 _inst_3 _inst_4)) (CategoryTheory.Limits.pushoutComparison.{u1, u1, u2, u3} C _inst_1 D _inst_2 X Y Z G f g _inst_3 _inst_4)
+<too large>
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.iso_hom CategoryTheory.Limits.PreservesPushout.iso_homₓ'. -/
 @[simp]
 theorem PreservesPushout.iso_hom : (PreservesPushout.iso G f g).Hom = pushoutComparison G f g :=
Diff
@@ -160,7 +160,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2) {X : C} {Y : C} {Z : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X Z) (g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) Y Z) [_inst_3 : CategoryTheory.Limits.PreservesLimit.{0, 0, u1, u2, u3, u4} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.cospan.{u1, u3} C _inst_1 X Y Z f g) G] [_inst_4 : CategoryTheory.Limits.HasPullback.{u1, u3} C _inst_1 X Y Z f g] [_inst_5 : CategoryTheory.Limits.HasPullback.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Z) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X Z f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y Z g)], Eq.{succ u2} (Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) (CategoryTheory.Limits.pullback.{u1, u3} C _inst_1 X Y Z f g _inst_4)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X)) (CategoryTheory.CategoryStruct.comp.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) (CategoryTheory.Limits.pullback.{u1, u3} C _inst_1 X Y Z f g _inst_4)) (CategoryTheory.Limits.pullback.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Z) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X Z f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y Z g) _inst_5) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (CategoryTheory.Iso.hom.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) (CategoryTheory.Limits.pullback.{u1, u3} C _inst_1 X Y Z f g _inst_4)) (CategoryTheory.Limits.pullback.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Z) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X Z f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y Z g) _inst_5) (CategoryTheory.Limits.PreservesPullback.iso.{u1, u2, u3, u4} C _inst_1 D _inst_2 G X Y Z f g _inst_3 _inst_4 _inst_5)) (CategoryTheory.Limits.pullback.fst.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Z) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X Z f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y Z g) _inst_5)) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) (CategoryTheory.Limits.pullback.{u1, u3} C _inst_1 X Y Z f g _inst_4) X (CategoryTheory.Limits.pullback.fst.{u1, u3} C _inst_1 X Y Z f g _inst_4))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_hom_fst CategoryTheory.Limits.PreservesPullback.iso_hom_fstₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem PreservesPullback.iso_hom_fst :
     (PreservesPullback.iso G f g).Hom ≫ pullback.fst = G.map pullback.fst := by
   simp [preserves_pullback.iso]
@@ -172,7 +172,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2) {X : C} {Y : C} {Z : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X Z) (g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) Y Z) [_inst_3 : CategoryTheory.Limits.PreservesLimit.{0, 0, u1, u2, u3, u4} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.cospan.{u1, u3} C _inst_1 X Y Z f g) G] [_inst_4 : CategoryTheory.Limits.HasPullback.{u1, u3} C _inst_1 X Y Z f g] [_inst_5 : CategoryTheory.Limits.HasPullback.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Z) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X Z f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y Z g)], Eq.{succ u2} (Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) (CategoryTheory.Limits.pullback.{u1, u3} C _inst_1 X Y Z f g _inst_4)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y)) (CategoryTheory.CategoryStruct.comp.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) (CategoryTheory.Limits.pullback.{u1, u3} C _inst_1 X Y Z f g _inst_4)) (CategoryTheory.Limits.pullback.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.obj.{succ 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(CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y Z g) _inst_5) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (CategoryTheory.Iso.hom.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) (CategoryTheory.Limits.pullback.{u1, u3} C _inst_1 X Y Z f g _inst_4)) (CategoryTheory.Limits.pullback.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Z) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X Z f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y Z g) _inst_5) (CategoryTheory.Limits.PreservesPullback.iso.{u1, u2, u3, u4} C _inst_1 D _inst_2 G X Y Z f g _inst_3 _inst_4 _inst_5)) (CategoryTheory.Limits.pullback.snd.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Z) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X Z f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y Z g) _inst_5)) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) (CategoryTheory.Limits.pullback.{u1, u3} C _inst_1 X Y Z f g _inst_4) Y (CategoryTheory.Limits.pullback.snd.{u1, u3} C _inst_1 X Y Z f g _inst_4))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_hom_snd CategoryTheory.Limits.PreservesPullback.iso_hom_sndₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem PreservesPullback.iso_hom_snd :
     (PreservesPullback.iso G f g).Hom ≫ pullback.snd = G.map pullback.snd := by
   simp [preserves_pullback.iso]
@@ -184,7 +184,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2) {X : C} {Y : C} {Z : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X Z) (g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) Y Z) [_inst_3 : CategoryTheory.Limits.PreservesLimit.{0, 0, u1, u2, u3, u4} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.cospan.{u1, u3} C _inst_1 X Y Z f g) G] [_inst_4 : CategoryTheory.Limits.HasPullback.{u1, u3} C _inst_1 X Y Z f g] [_inst_5 : CategoryTheory.Limits.HasPullback.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Z) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X Z f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y Z g)], Eq.{succ u2} (Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Limits.pullback.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C 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_inst_1 D _inst_2 G) Z) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X Z f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y Z g) _inst_5) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D 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 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_inv_fst CategoryTheory.Limits.PreservesPullback.iso_inv_fstₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem PreservesPullback.iso_inv_fst :
     (PreservesPullback.iso G f g).inv ≫ G.map pullback.fst = pullback.fst := by
   simp [preserves_pullback.iso, iso.inv_comp_eq]
@@ -196,7 +196,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2) {X : C} {Y : C} {Z : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X Z) (g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) Y Z) [_inst_3 : CategoryTheory.Limits.PreservesLimit.{0, 0, u1, u2, u3, u4} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.cospan.{u1, u3} C _inst_1 X Y Z f g) G] [_inst_4 : CategoryTheory.Limits.HasPullback.{u1, u3} C _inst_1 X Y Z f g] [_inst_5 : CategoryTheory.Limits.HasPullback.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C 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u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y Z g) _inst_5) (CategoryTheory.Limits.PreservesPullback.iso.{u1, u2, u3, u4} C _inst_1 D _inst_2 G X Y Z f g _inst_3 _inst_4 _inst_5)) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) (CategoryTheory.Limits.pullback.{u1, u3} C _inst_1 X Y Z f g _inst_4) Y (CategoryTheory.Limits.pullback.snd.{u1, u3} C _inst_1 X Y Z f g _inst_4))) (CategoryTheory.Limits.pullback.snd.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Z) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X Z f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y Z g) _inst_5)
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_inv_snd CategoryTheory.Limits.PreservesPullback.iso_inv_sndₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem PreservesPullback.iso_inv_snd :
     (PreservesPullback.iso G f g).inv ≫ G.map pullback.snd = pullback.snd := by
   simp [preserves_pullback.iso, iso.inv_comp_eq]
@@ -325,7 +325,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2) {W : C} {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W X) (g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W Y) [_inst_3 : CategoryTheory.Limits.PreservesColimit.{0, 0, u1, u2, u3, u4} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.span.{u1, u3} C _inst_1 W X Y f g) G] [_inst_4 : CategoryTheory.Limits.HasPushout.{u1, u3} C _inst_1 W X Y f g] [_inst_5 : CategoryTheory.Limits.HasPushout.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W X f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W Y g)], Eq.{succ u2} (Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) (CategoryTheory.Limits.pushout.{u1, u3} C _inst_1 W X Y f g _inst_4))) (CategoryTheory.CategoryStruct.comp.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (CategoryTheory.Limits.pushout.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W X f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W Y g) _inst_5) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) (CategoryTheory.Limits.pushout.{u1, u3} C _inst_1 W X Y f g _inst_4)) (CategoryTheory.Limits.pushout.inl.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W X f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W Y g) _inst_5) (CategoryTheory.Iso.hom.{u2, u4} D _inst_2 (CategoryTheory.Limits.pushout.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W X f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W Y g) _inst_5) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) (CategoryTheory.Limits.pushout.{u1, u3} C _inst_1 W X Y f g _inst_4)) (CategoryTheory.Limits.PreservesPushout.iso.{u1, u2, u3, u4} C _inst_1 D _inst_2 G W X Y f g _inst_3 _inst_4 _inst_5))) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X (CategoryTheory.Limits.pushout.{u1, u3} C _inst_1 W X Y f g _inst_4) (CategoryTheory.Limits.pushout.inl.{u1, u3} C _inst_1 W X Y f g _inst_4))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.inl_iso_hom CategoryTheory.Limits.PreservesPushout.inl_iso_homₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem PreservesPushout.inl_iso_hom :
     pushout.inl ≫ (PreservesPushout.iso G f g).Hom = G.map pushout.inl :=
   by
@@ -339,7 +339,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2) {W : C} {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W X) (g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W Y) [_inst_3 : CategoryTheory.Limits.PreservesColimit.{0, 0, u1, u2, u3, u4} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.span.{u1, u3} C _inst_1 W X Y f g) G] [_inst_4 : CategoryTheory.Limits.HasPushout.{u1, u3} C _inst_1 W X Y f g] [_inst_5 : CategoryTheory.Limits.HasPushout.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W X f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W Y g)], Eq.{succ u2} (Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C 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(Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) (CategoryTheory.Limits.pushout.{u1, u3} C _inst_1 W X Y f g _inst_4)) (CategoryTheory.Limits.pushout.inr.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W X f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W Y g) _inst_5) (CategoryTheory.Iso.hom.{u2, u4} D _inst_2 (CategoryTheory.Limits.pushout.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W X f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W Y g) _inst_5) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) (CategoryTheory.Limits.pushout.{u1, u3} C _inst_1 W X Y f g _inst_4)) (CategoryTheory.Limits.PreservesPushout.iso.{u1, u2, u3, u4} C _inst_1 D _inst_2 G W X Y f g _inst_3 _inst_4 _inst_5))) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y (CategoryTheory.Limits.pushout.{u1, u3} C _inst_1 W X Y f g _inst_4) (CategoryTheory.Limits.pushout.inr.{u1, u3} C _inst_1 W X Y f g _inst_4))
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.inr_iso_hom CategoryTheory.Limits.PreservesPushout.inr_iso_homₓ'. -/
-@[reassoc.1]
+@[reassoc]
 theorem PreservesPushout.inr_iso_hom :
     pushout.inr ≫ (PreservesPushout.iso G f g).Hom = G.map pushout.inr :=
   by
@@ -353,7 +353,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2) {W : C} {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W X) (g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W Y) [_inst_3 : CategoryTheory.Limits.PreservesColimit.{0, 0, u1, u2, u3, u4} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.span.{u1, u3} C _inst_1 W X Y f g) G] [_inst_4 : CategoryTheory.Limits.HasPushout.{u1, u3} C _inst_1 W X Y f g] [_inst_5 : CategoryTheory.Limits.HasPushout.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W X f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W Y g)], Eq.{succ u2} (Quiver.Hom.{succ u2, u4} D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C 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_inst_1 D _inst_2 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W X f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W Y g) _inst_5)
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.inl_iso_inv CategoryTheory.Limits.PreservesPushout.inl_iso_invₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem PreservesPushout.inl_iso_inv :
     G.map pushout.inl ≫ (PreservesPushout.iso G f g).inv = pushout.inl := by
   simp [preserves_pushout.iso, iso.comp_inv_eq]
@@ -365,7 +365,7 @@ lean 3 declaration is
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2) {W : C} {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W X) (g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W Y) [_inst_3 : CategoryTheory.Limits.PreservesColimit.{0, 0, u1, u2, u3, u4} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.span.{u1, u3} C _inst_1 W X Y f g) G] [_inst_4 : CategoryTheory.Limits.HasPushout.{u1, u3} C _inst_1 W X Y f g] [_inst_5 : CategoryTheory.Limits.HasPushout.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C 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(CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W X f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W Y g) _inst_5)
 Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.inr_iso_inv CategoryTheory.Limits.PreservesPushout.inr_iso_invₓ'. -/
-@[simp, reassoc.1]
+@[simp, reassoc]
 theorem PreservesPushout.inr_iso_inv :
     G.map pushout.inr ≫ (PreservesPushout.iso G f g).inv = pushout.inr := by
   simp [preserves_pushout.iso, iso.comp_inv_eq]
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta, Andrew Yang
 
 ! This file was ported from Lean 3 source module category_theory.limits.preserves.shapes.pullbacks
-! leanprover-community/mathlib commit f11e306adb9f2a393539d2bb4293bf1b42caa7ac
+! leanprover-community/mathlib commit f47581155c818e6361af4e4fda60d27d020c226b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.CategoryTheory.Limits.Preserves.Basic
 /-!
 # Preserving pullbacks
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Constructions to relate the notions of preserving pullbacks and reflecting pullbacks to concrete
 pullback cones.
 
Diff
@@ -127,15 +127,15 @@ def preservesPullbackSymmetry : PreservesLimit (cospan g f) G
 #align category_theory.limits.preserves_pullback_symmetry CategoryTheory.Limits.preservesPullbackSymmetry
 -/
 
-/- warning: category_theory.limits.has_pullback_of_preserves_pullback -> CategoryTheory.Limits.hasPullback_of_preserves_pullback is a dubious translation:
+/- warning: category_theory.limits.has_pullback_of_preserves_pullback -> CategoryTheory.Limits.hasPullback_of_preservesPullback is a dubious translation:
 lean 3 declaration is
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2) {X : C} {Y : C} {Z : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X Z) (g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) Y Z) [_inst_3 : CategoryTheory.Limits.PreservesLimit.{0, 0, u1, u2, u3, u4} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.cospan.{u1, u3} C _inst_1 X Y Z f g) G] [_inst_4 : CategoryTheory.Limits.HasPullback.{u1, u3} C _inst_1 X Y Z f g], CategoryTheory.Limits.HasPullback.{u2, u4} D _inst_2 (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G X) (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G Y) (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G Z) (CategoryTheory.Functor.map.{u1, u2, u3, u4} C _inst_1 D _inst_2 G X Z f) (CategoryTheory.Functor.map.{u1, u2, u3, u4} C _inst_1 D _inst_2 G Y Z g)
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2) {X : C} {Y : C} {Z : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X Z) (g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) Y Z) [_inst_3 : CategoryTheory.Limits.PreservesLimit.{0, 0, u1, u2, u3, u4} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.cospan.{u1, u3} C _inst_1 X Y Z f g) G] [_inst_4 : CategoryTheory.Limits.HasPullback.{u1, u3} C _inst_1 X Y Z f g], CategoryTheory.Limits.HasPullback.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Z) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X Z f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y Z g)
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.has_pullback_of_preserves_pullback CategoryTheory.Limits.hasPullback_of_preserves_pullbackₓ'. -/
-theorem hasPullback_of_preserves_pullback [HasPullback f g] : HasPullback (G.map f) (G.map g) :=
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.has_pullback_of_preserves_pullback CategoryTheory.Limits.hasPullback_of_preservesPullbackₓ'. -/
+theorem hasPullback_of_preservesPullback [HasPullback f g] : HasPullback (G.map f) (G.map g) :=
   ⟨⟨⟨_, isLimitPullbackConeMapOfIsLimit G _ (pullbackIsPullback _ _)⟩⟩⟩
-#align category_theory.limits.has_pullback_of_preserves_pullback CategoryTheory.Limits.hasPullback_of_preserves_pullback
+#align category_theory.limits.has_pullback_of_preserves_pullback CategoryTheory.Limits.hasPullback_of_preservesPullback
 
 variable [HasPullback f g] [HasPullback (G.map f) (G.map g)]
 
@@ -291,15 +291,15 @@ def preservesPushoutSymmetry : PreservesColimit (span g f) G
 #align category_theory.limits.preserves_pushout_symmetry CategoryTheory.Limits.preservesPushoutSymmetry
 -/
 
-/- warning: category_theory.limits.has_pushout_of_preserves_pushout -> CategoryTheory.Limits.hasPushout_of_preserves_pushout is a dubious translation:
+/- warning: category_theory.limits.has_pushout_of_preserves_pushout -> CategoryTheory.Limits.hasPushout_of_preservesPushout is a dubious translation:
 lean 3 declaration is
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2) {W : C} {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W X) (g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W Y) [_inst_3 : CategoryTheory.Limits.PreservesColimit.{0, 0, u1, u2, u3, u4} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.span.{u1, u3} C _inst_1 W X Y f g) G] [_inst_4 : CategoryTheory.Limits.HasPushout.{u1, u3} C _inst_1 W X Y f g], CategoryTheory.Limits.HasPushout.{u2, u4} D _inst_2 (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G W) (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G X) (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G Y) (CategoryTheory.Functor.map.{u1, u2, u3, u4} C _inst_1 D _inst_2 G W X f) (CategoryTheory.Functor.map.{u1, u2, u3, u4} C _inst_1 D _inst_2 G W Y g)
 but is expected to have type
   forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2) {W : C} {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W X) (g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W Y) [_inst_3 : CategoryTheory.Limits.PreservesColimit.{0, 0, u1, u2, u3, u4} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.span.{u1, u3} C _inst_1 W X Y f g) G] [_inst_4 : CategoryTheory.Limits.HasPushout.{u1, u3} C _inst_1 W X Y f g], CategoryTheory.Limits.HasPushout.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W X f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W Y g)
-Case conversion may be inaccurate. Consider using '#align category_theory.limits.has_pushout_of_preserves_pushout CategoryTheory.Limits.hasPushout_of_preserves_pushoutₓ'. -/
-theorem hasPushout_of_preserves_pushout [HasPushout f g] : HasPushout (G.map f) (G.map g) :=
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.has_pushout_of_preserves_pushout CategoryTheory.Limits.hasPushout_of_preservesPushoutₓ'. -/
+theorem hasPushout_of_preservesPushout [HasPushout f g] : HasPushout (G.map f) (G.map g) :=
   ⟨⟨⟨_, isColimitPushoutCoconeMapOfIsColimit G _ (pushoutIsPushout _ _)⟩⟩⟩
-#align category_theory.limits.has_pushout_of_preserves_pushout CategoryTheory.Limits.hasPushout_of_preserves_pushout
+#align category_theory.limits.has_pushout_of_preserves_pushout CategoryTheory.Limits.hasPushout_of_preservesPushout
 
 variable [HasPushout f g] [HasPushout (G.map f) (G.map g)]
 
Diff
@@ -47,6 +47,12 @@ variable (G : C ⥤ D)
 
 variable {W X Y Z : C} {f : X ⟶ Z} {g : Y ⟶ Z} {h : W ⟶ X} {k : W ⟶ Y} (comm : h ≫ f = k ≫ g)
 
+/- warning: category_theory.limits.is_limit_map_cone_pullback_cone_equiv -> CategoryTheory.Limits.isLimitMapConePullbackConeEquiv is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_limit_map_cone_pullback_cone_equiv CategoryTheory.Limits.isLimitMapConePullbackConeEquivₓ'. -/
 /-- The map of a pullback cone is a limit iff the fork consisting of the mapped morphisms is a
 limit. This essentially lets us commute `pullback_cone.mk` with `functor.map_cone`. -/
 def isLimitMapConePullbackConeEquiv :
@@ -60,12 +66,24 @@ def isLimitMapConePullbackConeEquiv :
         rintro (_ | _ | _) <;> dsimp <;> simp only [comp_id, id_comp, G.map_comp]
 #align category_theory.limits.is_limit_map_cone_pullback_cone_equiv CategoryTheory.Limits.isLimitMapConePullbackConeEquiv
 
+/- warning: category_theory.limits.is_limit_pullback_cone_map_of_is_limit -> CategoryTheory.Limits.isLimitPullbackConeMapOfIsLimit is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_limit_pullback_cone_map_of_is_limit CategoryTheory.Limits.isLimitPullbackConeMapOfIsLimitₓ'. -/
 /-- The property of preserving pullbacks expressed in terms of binary fans. -/
 def isLimitPullbackConeMapOfIsLimit [PreservesLimit (cospan f g) G]
     (l : IsLimit (PullbackCone.mk h k comm)) : IsLimit (PullbackCone.mk (G.map h) (G.map k) _) :=
   isLimitMapConePullbackConeEquiv G comm (PreservesLimit.preserves l)
 #align category_theory.limits.is_limit_pullback_cone_map_of_is_limit CategoryTheory.Limits.isLimitPullbackConeMapOfIsLimit
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_limit_of_is_limit_pullback_cone_map CategoryTheory.Limits.isLimitOfIsLimitPullbackConeMapₓ'. -/
 /-- The property of reflecting pullbacks expressed in terms of binary fans. -/
 def isLimitOfIsLimitPullbackConeMap [ReflectsLimit (cospan f g) G]
     (l : IsLimit (PullbackCone.mk (G.map h) (G.map k) _)) : IsLimit (PullbackCone.mk h k comm) :=
@@ -74,6 +92,12 @@ def isLimitOfIsLimitPullbackConeMap [ReflectsLimit (cospan f g) G]
 
 variable (f g) [PreservesLimit (cospan f g) G]
 
+/- warning: category_theory.limits.is_limit_of_has_pullback_of_preserves_limit -> CategoryTheory.Limits.isLimitOfHasPullbackOfPreservesLimit is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2) {X : C} {Y : C} {Z : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X Z) (g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) Y Z) [_inst_3 : CategoryTheory.Limits.PreservesLimit.{0, 0, u1, u2, u3, u4} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.cospan.{u1, u3} C _inst_1 X Y Z f g) G] [_inst_4 : CategoryTheory.Limits.HasPullback.{u1, u3} C _inst_1 X Y Z f g], CategoryTheory.Limits.IsLimit.{0, u2, 0, u4} CategoryTheory.Limits.WalkingCospan (CategoryTheory.Limits.WidePullbackShape.category.{0} CategoryTheory.Limits.WalkingPair) D _inst_2 (CategoryTheory.Limits.cospan.{u2, u4} D _inst_2 (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G X) (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G Y) (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G Z) (CategoryTheory.Functor.map.{u1, u2, u3, u4} C _inst_1 D _inst_2 G X Z f) (CategoryTheory.Functor.map.{u1, u2, u3, u4} C _inst_1 D _inst_2 G Y Z g)) (CategoryTheory.Limits.PullbackCone.mk.{u2, u4} D _inst_2 (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G X) (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G Y) (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G Z) (CategoryTheory.Functor.map.{u1, u2, u3, u4} C _inst_1 D _inst_2 G X Z f) (CategoryTheory.Functor.map.{u1, u2, u3, u4} C _inst_1 D _inst_2 G Y Z g) (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G (CategoryTheory.Limits.pullback.{u1, u3} C _inst_1 X Y Z f g _inst_4)) (CategoryTheory.Functor.map.{u1, u2, u3, u4} C _inst_1 D _inst_2 G (CategoryTheory.Limits.pullback.{u1, u3} C _inst_1 X Y Z f g _inst_4) X (CategoryTheory.Limits.pullback.fst.{u1, u3} C _inst_1 X Y Z f g _inst_4)) (CategoryTheory.Functor.map.{u1, u2, u3, u4} C _inst_1 D _inst_2 G (CategoryTheory.Limits.pullback.{u1, u3} C _inst_1 X Y Z f g _inst_4) Y (CategoryTheory.Limits.pullback.snd.{u1, u3} C _inst_1 X Y Z f g _inst_4)) (CategoryTheory.Limits.isLimitOfHasPullbackOfPreservesLimit._proof_1.{u3, u4, u1, u2} C _inst_1 D _inst_2 G X Y Z f g _inst_4))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_limit_of_has_pullback_of_preserves_limit CategoryTheory.Limits.isLimitOfHasPullbackOfPreservesLimitₓ'. -/
 /-- If `G` preserves pullbacks and `C` has them, then the pullback cone constructed of the mapped
 morphisms of the pullback cone is a limit. -/
 def isLimitOfHasPullbackOfPreservesLimit [HasPullback f g] :
@@ -81,6 +105,7 @@ def isLimitOfHasPullbackOfPreservesLimit [HasPullback f g] :
   isLimitPullbackConeMapOfIsLimit G _ (pullbackIsPullback f g)
 #align category_theory.limits.is_limit_of_has_pullback_of_preserves_limit CategoryTheory.Limits.isLimitOfHasPullbackOfPreservesLimit
 
+#print CategoryTheory.Limits.preservesPullbackSymmetry /-
 /-- If `F` preserves the pullback of `f, g`, it also preserves the pullback of `g, f`. -/
 def preservesPullbackSymmetry : PreservesLimit (cospan g f) G
     where preserves c hc :=
@@ -100,37 +125,74 @@ def preservesPullbackSymmetry : PreservesLimit (cospan g f) G
         (c.π.naturality walking_cospan.hom.inr).symm.trans
           (c.π.naturality walking_cospan.hom.inl : _)
 #align category_theory.limits.preserves_pullback_symmetry CategoryTheory.Limits.preservesPullbackSymmetry
+-/
 
+/- warning: category_theory.limits.has_pullback_of_preserves_pullback -> CategoryTheory.Limits.hasPullback_of_preserves_pullback is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.has_pullback_of_preserves_pullback CategoryTheory.Limits.hasPullback_of_preserves_pullbackₓ'. -/
 theorem hasPullback_of_preserves_pullback [HasPullback f g] : HasPullback (G.map f) (G.map g) :=
   ⟨⟨⟨_, isLimitPullbackConeMapOfIsLimit G _ (pullbackIsPullback _ _)⟩⟩⟩
 #align category_theory.limits.has_pullback_of_preserves_pullback CategoryTheory.Limits.hasPullback_of_preserves_pullback
 
 variable [HasPullback f g] [HasPullback (G.map f) (G.map g)]
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso CategoryTheory.Limits.PreservesPullback.isoₓ'. -/
 /-- If `G` preserves the pullback of `(f,g)`, then the pullback comparison map for `G` at `(f,g)` is
 an isomorphism. -/
 def PreservesPullback.iso : G.obj (pullback f g) ≅ pullback (G.map f) (G.map g) :=
   IsLimit.conePointUniqueUpToIso (isLimitOfHasPullbackOfPreservesLimit G f g) (limit.isLimit _)
 #align category_theory.limits.preserves_pullback.iso CategoryTheory.Limits.PreservesPullback.iso
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_hom_fst CategoryTheory.Limits.PreservesPullback.iso_hom_fstₓ'. -/
 @[reassoc.1]
 theorem PreservesPullback.iso_hom_fst :
     (PreservesPullback.iso G f g).Hom ≫ pullback.fst = G.map pullback.fst := by
   simp [preserves_pullback.iso]
 #align category_theory.limits.preserves_pullback.iso_hom_fst CategoryTheory.Limits.PreservesPullback.iso_hom_fst
 
+/- warning: category_theory.limits.preserves_pullback.iso_hom_snd -> CategoryTheory.Limits.PreservesPullback.iso_hom_snd is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_hom_snd CategoryTheory.Limits.PreservesPullback.iso_hom_sndₓ'. -/
 @[reassoc.1]
 theorem PreservesPullback.iso_hom_snd :
     (PreservesPullback.iso G f g).Hom ≫ pullback.snd = G.map pullback.snd := by
   simp [preserves_pullback.iso]
 #align category_theory.limits.preserves_pullback.iso_hom_snd CategoryTheory.Limits.PreservesPullback.iso_hom_snd
 
+/- warning: category_theory.limits.preserves_pullback.iso_inv_fst -> CategoryTheory.Limits.PreservesPullback.iso_inv_fst is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_inv_fst CategoryTheory.Limits.PreservesPullback.iso_inv_fstₓ'. -/
 @[simp, reassoc.1]
 theorem PreservesPullback.iso_inv_fst :
     (PreservesPullback.iso G f g).inv ≫ G.map pullback.fst = pullback.fst := by
   simp [preserves_pullback.iso, iso.inv_comp_eq]
 #align category_theory.limits.preserves_pullback.iso_inv_fst CategoryTheory.Limits.PreservesPullback.iso_inv_fst
 
+/- warning: category_theory.limits.preserves_pullback.iso_inv_snd -> CategoryTheory.Limits.PreservesPullback.iso_inv_snd is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_inv_snd CategoryTheory.Limits.PreservesPullback.iso_inv_sndₓ'. -/
 @[simp, reassoc.1]
 theorem PreservesPullback.iso_inv_snd :
     (PreservesPullback.iso G f g).inv ≫ G.map pullback.snd = pullback.snd := by
@@ -149,6 +211,12 @@ variable (G : C ⥤ D)
 
 variable {W X Y Z : C} {h : X ⟶ Z} {k : Y ⟶ Z} {f : W ⟶ X} {g : W ⟶ Y} (comm : f ≫ h = g ≫ k)
 
+/- warning: category_theory.limits.is_colimit_map_cocone_pushout_cocone_equiv -> CategoryTheory.Limits.isColimitMapCoconePushoutCoconeEquiv is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_colimit_map_cocone_pushout_cocone_equiv CategoryTheory.Limits.isColimitMapCoconePushoutCoconeEquivₓ'. -/
 /-- The map of a pushout cocone is a colimit iff the cofork consisting of the mapped morphisms is a
 colimit. This essentially lets us commute `pushout_cocone.mk` with `functor.map_cocone`. -/
 def isColimitMapCoconePushoutCoconeEquiv :
@@ -163,6 +231,12 @@ def isColimitMapCoconePushoutCoconeEquiv :
           simp only [category.comp_id, category.id_comp, ← G.map_comp]
 #align category_theory.limits.is_colimit_map_cocone_pushout_cocone_equiv CategoryTheory.Limits.isColimitMapCoconePushoutCoconeEquiv
 
+/- warning: category_theory.limits.is_colimit_pushout_cocone_map_of_is_colimit -> CategoryTheory.Limits.isColimitPushoutCoconeMapOfIsColimit is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_colimit_pushout_cocone_map_of_is_colimit CategoryTheory.Limits.isColimitPushoutCoconeMapOfIsColimitₓ'. -/
 /-- The property of preserving pushouts expressed in terms of binary cofans. -/
 def isColimitPushoutCoconeMapOfIsColimit [PreservesColimit (span f g) G]
     (l : IsColimit (PushoutCocone.mk h k comm)) :
@@ -170,6 +244,12 @@ def isColimitPushoutCoconeMapOfIsColimit [PreservesColimit (span f g) G]
   isColimitMapCoconePushoutCoconeEquiv G comm (PreservesColimit.preserves l)
 #align category_theory.limits.is_colimit_pushout_cocone_map_of_is_colimit CategoryTheory.Limits.isColimitPushoutCoconeMapOfIsColimit
 
+/- warning: category_theory.limits.is_colimit_of_is_colimit_pushout_cocone_map -> CategoryTheory.Limits.isColimitOfIsColimitPushoutCoconeMap is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2) {W : C} {X : C} {Y : C} {Z : C} {h : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) X Z} {k : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) Y Z} {f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W X} {g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W Y} (comm : Eq.{succ u1} (Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) 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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_colimit_of_is_colimit_pushout_cocone_map CategoryTheory.Limits.isColimitOfIsColimitPushoutCoconeMapₓ'. -/
 /-- The property of reflecting pushouts expressed in terms of binary cofans. -/
 def isColimitOfIsColimitPushoutCoconeMap [ReflectsColimit (span f g) G]
     (l : IsColimit (PushoutCocone.mk (G.map h) (G.map k) _)) :
@@ -179,6 +259,12 @@ def isColimitOfIsColimitPushoutCoconeMap [ReflectsColimit (span f g) G]
 
 variable (f g) [PreservesColimit (span f g) G]
 
+/- warning: category_theory.limits.is_colimit_of_has_pushout_of_preserves_colimit -> CategoryTheory.Limits.isColimitOfHasPushoutOfPreservesColimit is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2) {W : C} {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W X) (g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W Y) [_inst_3 : CategoryTheory.Limits.PreservesColimit.{0, 0, u1, u2, u3, u4} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.span.{u1, u3} C _inst_1 W X Y f g) G] [_inst_4 : CategoryTheory.Limits.HasPushout.{u1, u3} C _inst_1 W X Y f g], CategoryTheory.Limits.IsColimit.{0, u2, 0, u4} CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) D _inst_2 (CategoryTheory.Limits.span.{u2, u4} D _inst_2 (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G W) (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G X) (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G Y) (CategoryTheory.Functor.map.{u1, u2, u3, u4} C _inst_1 D _inst_2 G W X f) (CategoryTheory.Functor.map.{u1, u2, u3, u4} C _inst_1 D _inst_2 G W Y g)) (CategoryTheory.Limits.PushoutCocone.mk.{u2, u4} D _inst_2 (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G W) (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G X) (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G Y) (CategoryTheory.Functor.map.{u1, u2, u3, u4} C _inst_1 D _inst_2 G W X f) (CategoryTheory.Functor.map.{u1, u2, u3, u4} C _inst_1 D _inst_2 G W Y g) (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G (CategoryTheory.Limits.pushout.{u1, u3} C _inst_1 W X Y f g _inst_4)) (CategoryTheory.Functor.map.{u1, u2, u3, u4} C _inst_1 D _inst_2 G X (CategoryTheory.Limits.pushout.{u1, u3} C _inst_1 W X Y f g _inst_4) (CategoryTheory.Limits.pushout.inl.{u1, u3} C _inst_1 W X Y f g _inst_4)) (CategoryTheory.Functor.map.{u1, u2, u3, u4} C _inst_1 D _inst_2 G Y (CategoryTheory.Limits.pushout.{u1, u3} C _inst_1 W X Y f g _inst_4) (CategoryTheory.Limits.pushout.inr.{u1, u3} C _inst_1 W X Y f g _inst_4)) (CategoryTheory.Limits.isColimitOfHasPushoutOfPreservesColimit._proof_1.{u3, u4, u1, u2} C _inst_1 D _inst_2 G W X Y f g _inst_4))
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2) {W : C} {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W X) (g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W Y) [_inst_3 : CategoryTheory.Limits.PreservesColimit.{0, 0, u1, u2, u3, u4} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.span.{u1, u3} C _inst_1 W X Y f g) G] [_inst_4 : CategoryTheory.Limits.HasPushout.{u1, u3} C _inst_1 W X Y f g], CategoryTheory.Limits.IsColimit.{0, u2, 0, u4} CategoryTheory.Limits.WalkingSpan 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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.is_colimit_of_has_pushout_of_preserves_colimit CategoryTheory.Limits.isColimitOfHasPushoutOfPreservesColimitₓ'. -/
 /-- If `G` preserves pushouts and `C` has them, then the pushout cocone constructed of the mapped
 morphisms of the pushout cocone is a colimit. -/
 def isColimitOfHasPushoutOfPreservesColimit [HasPushout f g] :
@@ -186,6 +272,7 @@ def isColimitOfHasPushoutOfPreservesColimit [HasPushout f g] :
   isColimitPushoutCoconeMapOfIsColimit G _ (pushoutIsPushout f g)
 #align category_theory.limits.is_colimit_of_has_pushout_of_preserves_colimit CategoryTheory.Limits.isColimitOfHasPushoutOfPreservesColimit
 
+#print CategoryTheory.Limits.preservesPushoutSymmetry /-
 /-- If `F` preserves the pushout of `f, g`, it also preserves the pushout of `g, f`. -/
 def preservesPushoutSymmetry : PreservesColimit (span g f) G
     where preserves c hc :=
@@ -202,13 +289,26 @@ def preservesPushoutSymmetry : PreservesColimit (span g f) G
       exact (is_colimit.precompose_hom_equiv (diagramIsoSpan.{v₁} _) _).invFun hc
     · exact (c.ι.naturality walking_span.hom.snd).trans (c.ι.naturality walking_span.hom.fst).symm
 #align category_theory.limits.preserves_pushout_symmetry CategoryTheory.Limits.preservesPushoutSymmetry
+-/
 
+/- warning: category_theory.limits.has_pushout_of_preserves_pushout -> CategoryTheory.Limits.hasPushout_of_preserves_pushout is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2) {W : C} {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W X) (g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W Y) [_inst_3 : CategoryTheory.Limits.PreservesColimit.{0, 0, u1, u2, u3, u4} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.span.{u1, u3} C _inst_1 W X Y f g) G] [_inst_4 : CategoryTheory.Limits.HasPushout.{u1, u3} C _inst_1 W X Y f g], CategoryTheory.Limits.HasPushout.{u2, u4} D _inst_2 (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G W) (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G X) (CategoryTheory.Functor.obj.{u1, u2, u3, u4} C _inst_1 D _inst_2 G Y) (CategoryTheory.Functor.map.{u1, u2, u3, u4} C _inst_1 D _inst_2 G W X f) (CategoryTheory.Functor.map.{u1, u2, u3, u4} C _inst_1 D _inst_2 G W Y g)
+but is expected to have type
+  forall {C : Type.{u3}} [_inst_1 : CategoryTheory.Category.{u1, u3} C] {D : Type.{u4}} [_inst_2 : CategoryTheory.Category.{u2, u4} D] (G : CategoryTheory.Functor.{u1, u2, u3, u4} C _inst_1 D _inst_2) {W : C} {X : C} {Y : C} (f : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W X) (g : Quiver.Hom.{succ u1, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) W Y) [_inst_3 : CategoryTheory.Limits.PreservesColimit.{0, 0, u1, u2, u3, u4} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.span.{u1, u3} C _inst_1 W X Y f g) G] [_inst_4 : CategoryTheory.Limits.HasPushout.{u1, u3} C _inst_1 W X Y f g], CategoryTheory.Limits.HasPushout.{u2, u4} D _inst_2 (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) X) (Prefunctor.obj.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) Y) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W X f) (Prefunctor.map.{succ u1, succ u2, u3, u4} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} C (CategoryTheory.Category.toCategoryStruct.{u1, u3} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u2, u4} D (CategoryTheory.Category.toCategoryStruct.{u2, u4} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u2, u3, u4} C _inst_1 D _inst_2 G) W Y g)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.has_pushout_of_preserves_pushout CategoryTheory.Limits.hasPushout_of_preserves_pushoutₓ'. -/
 theorem hasPushout_of_preserves_pushout [HasPushout f g] : HasPushout (G.map f) (G.map g) :=
   ⟨⟨⟨_, isColimitPushoutCoconeMapOfIsColimit G _ (pushoutIsPushout _ _)⟩⟩⟩
 #align category_theory.limits.has_pushout_of_preserves_pushout CategoryTheory.Limits.hasPushout_of_preserves_pushout
 
 variable [HasPushout f g] [HasPushout (G.map f) (G.map g)]
 
+/- warning: category_theory.limits.preserves_pushout.iso -> CategoryTheory.Limits.PreservesPushout.iso is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.iso CategoryTheory.Limits.PreservesPushout.isoₓ'. -/
 /-- If `G` preserves the pushout of `(f,g)`, then the pushout comparison map for `G` at `(f,g)` is
 an isomorphism. -/
 def PreservesPushout.iso : pushout (G.map f) (G.map g) ≅ G.obj (pushout f g) :=
@@ -216,6 +316,12 @@ def PreservesPushout.iso : pushout (G.map f) (G.map g) ≅ G.obj (pushout f g) :
     (isColimitOfHasPushoutOfPreservesColimit G f g)
 #align category_theory.limits.preserves_pushout.iso CategoryTheory.Limits.PreservesPushout.iso
 
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.inl_iso_hom CategoryTheory.Limits.PreservesPushout.inl_iso_homₓ'. -/
 @[reassoc.1]
 theorem PreservesPushout.inl_iso_hom :
     pushout.inl ≫ (PreservesPushout.iso G f g).Hom = G.map pushout.inl :=
@@ -224,6 +330,12 @@ theorem PreservesPushout.inl_iso_hom :
   simp
 #align category_theory.limits.preserves_pushout.inl_iso_hom CategoryTheory.Limits.PreservesPushout.inl_iso_hom
 
+/- warning: category_theory.limits.preserves_pushout.inr_iso_hom -> CategoryTheory.Limits.PreservesPushout.inr_iso_hom is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.inr_iso_hom CategoryTheory.Limits.PreservesPushout.inr_iso_homₓ'. -/
 @[reassoc.1]
 theorem PreservesPushout.inr_iso_hom :
     pushout.inr ≫ (PreservesPushout.iso G f g).Hom = G.map pushout.inr :=
@@ -232,12 +344,24 @@ theorem PreservesPushout.inr_iso_hom :
   simp
 #align category_theory.limits.preserves_pushout.inr_iso_hom CategoryTheory.Limits.PreservesPushout.inr_iso_hom
 
+/- warning: category_theory.limits.preserves_pushout.inl_iso_inv -> CategoryTheory.Limits.PreservesPushout.inl_iso_inv is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.inl_iso_inv CategoryTheory.Limits.PreservesPushout.inl_iso_invₓ'. -/
 @[simp, reassoc.1]
 theorem PreservesPushout.inl_iso_inv :
     G.map pushout.inl ≫ (PreservesPushout.iso G f g).inv = pushout.inl := by
   simp [preserves_pushout.iso, iso.comp_inv_eq]
 #align category_theory.limits.preserves_pushout.inl_iso_inv CategoryTheory.Limits.PreservesPushout.inl_iso_inv
 
+/- warning: category_theory.limits.preserves_pushout.inr_iso_inv -> CategoryTheory.Limits.PreservesPushout.inr_iso_inv is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.inr_iso_inv CategoryTheory.Limits.PreservesPushout.inr_iso_invₓ'. -/
 @[simp, reassoc.1]
 theorem PreservesPushout.inr_iso_inv :
     G.map pushout.inr ≫ (PreservesPushout.iso G f g).inv = pushout.inr := by
@@ -260,6 +384,12 @@ variable {X Y Z : C} {f : X ⟶ Z} {g : Y ⟶ Z}
 
 variable [HasPullback f g] [HasPullback (G.map f) (G.map g)]
 
+/- warning: category_theory.limits.preserves_pullback.of_iso_comparison -> CategoryTheory.Limits.PreservesPullback.ofIsoComparison is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.of_iso_comparison CategoryTheory.Limits.PreservesPullback.ofIsoComparisonₓ'. -/
 /-- If the pullback comparison map for `G` at `(f,g)` is an isomorphism, then `G` preserves the
 pullback of `(f,g)`. -/
 def PreservesPullback.ofIsoComparison [i : IsIso (pullbackComparison G f g)] :
@@ -273,6 +403,12 @@ def PreservesPullback.ofIsoComparison [i : IsIso (pullbackComparison G f g)] :
 
 variable [PreservesLimit (cospan f g) G]
 
+/- warning: category_theory.limits.preserves_pullback.iso_hom -> CategoryTheory.Limits.PreservesPullback.iso_hom is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pullback.iso_hom CategoryTheory.Limits.PreservesPullback.iso_homₓ'. -/
 @[simp]
 theorem PreservesPullback.iso_hom : (PreservesPullback.iso G f g).Hom = pullbackComparison G f g :=
   rfl
@@ -291,6 +427,12 @@ variable {X Y Z : C} {f : X ⟶ Y} {g : X ⟶ Z}
 
 variable [HasPushout f g] [HasPushout (G.map f) (G.map g)]
 
+/- warning: category_theory.limits.preserves_pushout.of_iso_comparison -> CategoryTheory.Limits.PreservesPushout.ofIsoComparison is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.of_iso_comparison CategoryTheory.Limits.PreservesPushout.ofIsoComparisonₓ'. -/
 /-- If the pushout comparison map for `G` at `(f,g)` is an isomorphism, then `G` preserves the
 pushout of `(f,g)`. -/
 def PreservesPushout.ofIsoComparison [i : IsIso (pushoutComparison G f g)] :
@@ -304,6 +446,12 @@ def PreservesPushout.ofIsoComparison [i : IsIso (pushoutComparison G f g)] :
 
 variable [PreservesColimit (span f g) G]
 
+/- warning: category_theory.limits.preserves_pushout.iso_hom -> CategoryTheory.Limits.PreservesPushout.iso_hom is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {D : Type.{u3}} [_inst_2 : CategoryTheory.Category.{u1, u3} D] (G : CategoryTheory.Functor.{u1, u1, u2, u3} C _inst_1 D _inst_2) {X : C} {Y : C} {Z : C} {f : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Y} {g : Quiver.Hom.{succ u1, u2} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) X Z} [_inst_3 : CategoryTheory.Limits.HasPushout.{u1, u2} C _inst_1 X Y Z f g] [_inst_4 : CategoryTheory.Limits.HasPushout.{u1, u3} D _inst_2 (CategoryTheory.Functor.obj.{u1, u1, u2, u3} C _inst_1 D _inst_2 G X) (CategoryTheory.Functor.obj.{u1, u1, u2, u3} C _inst_1 D _inst_2 G Y) (CategoryTheory.Functor.obj.{u1, u1, u2, u3} C _inst_1 D _inst_2 G Z) (CategoryTheory.Functor.map.{u1, u1, u2, u3} C _inst_1 D _inst_2 G X Y f) (CategoryTheory.Functor.map.{u1, u1, u2, u3} C _inst_1 D _inst_2 G X Z g)] [_inst_5 : CategoryTheory.Limits.PreservesColimit.{0, 0, u1, u1, u2, u3} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.span.{u1, u2} C _inst_1 X Y Z f g) G], Eq.{succ u1} (Quiver.Hom.{succ u1, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_2)) (CategoryTheory.Limits.pushout.{u1, u3} D _inst_2 (CategoryTheory.Functor.obj.{u1, u1, u2, u3} C _inst_1 D _inst_2 G X) (CategoryTheory.Functor.obj.{u1, u1, u2, u3} C _inst_1 D _inst_2 G Y) (CategoryTheory.Functor.obj.{u1, u1, u2, u3} C _inst_1 D _inst_2 G Z) (CategoryTheory.Functor.map.{u1, u1, u2, u3} C _inst_1 D _inst_2 G X Y f) (CategoryTheory.Functor.map.{u1, u1, u2, u3} C _inst_1 D _inst_2 G X Z g) _inst_4) (CategoryTheory.Functor.obj.{u1, u1, u2, u3} C _inst_1 D _inst_2 G (CategoryTheory.Limits.pushout.{u1, u2} C _inst_1 X Y Z f g _inst_3))) (CategoryTheory.Iso.hom.{u1, u3} D _inst_2 (CategoryTheory.Limits.pushout.{u1, u3} D _inst_2 (CategoryTheory.Functor.obj.{u1, u1, u2, u3} C _inst_1 D _inst_2 G X) (CategoryTheory.Functor.obj.{u1, u1, u2, u3} C _inst_1 D _inst_2 G Y) (CategoryTheory.Functor.obj.{u1, u1, u2, u3} C _inst_1 D _inst_2 G Z) (CategoryTheory.Functor.map.{u1, u1, u2, u3} C _inst_1 D _inst_2 G X Y f) (CategoryTheory.Functor.map.{u1, u1, u2, u3} C _inst_1 D _inst_2 G X Z g) _inst_4) (CategoryTheory.Functor.obj.{u1, u1, u2, u3} C _inst_1 D _inst_2 G (CategoryTheory.Limits.pushout.{u1, u2} C _inst_1 X Y Z f g _inst_3)) (CategoryTheory.Limits.PreservesPushout.iso.{u1, u1, u2, u3} C _inst_1 D _inst_2 G X Y Z f g _inst_5 _inst_3 _inst_4)) (CategoryTheory.Limits.pushoutComparison.{u1, u1, u2, u3} C _inst_1 D _inst_2 X Y Z G f g _inst_3 _inst_4)
+but is expected to have type
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_inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 D _inst_2 G) X Y f) (Prefunctor.map.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 D _inst_2 G) X Z g)] [_inst_5 : CategoryTheory.Limits.PreservesColimit.{0, 0, u1, u1, u2, u3} C _inst_1 D _inst_2 CategoryTheory.Limits.WalkingSpan (CategoryTheory.Limits.WidePushoutShape.category.{0} CategoryTheory.Limits.WalkingPair) (CategoryTheory.Limits.span.{u1, u2} C _inst_1 X Y Z f g) G], Eq.{succ u1} (Quiver.Hom.{succ u1, u3} D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_2)) (CategoryTheory.Limits.pushout.{u1, u3} D _inst_2 (Prefunctor.obj.{succ u1, succ u1, u2, u3} C 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_inst_2 G) Y) (Prefunctor.obj.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 D _inst_2 G) Z) (Prefunctor.map.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 D _inst_2 G) X Y f) (Prefunctor.map.{succ u1, succ u1, u2, u3} C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 D _inst_2 G) X Z g) _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)) D (CategoryTheory.CategoryStruct.toQuiver.{u1, u3} D (CategoryTheory.Category.toCategoryStruct.{u1, u3} D _inst_2)) (CategoryTheory.Functor.toPrefunctor.{u1, u1, u2, u3} C _inst_1 D _inst_2 G) (CategoryTheory.Limits.pushout.{u1, u2} C _inst_1 X Y Z f g _inst_3)) (CategoryTheory.Limits.PreservesPushout.iso.{u1, u1, u2, u3} C _inst_1 D _inst_2 G X Y Z f g _inst_5 _inst_3 _inst_4)) (CategoryTheory.Limits.pushoutComparison.{u1, u1, u2, u3} C _inst_1 D _inst_2 X Y Z G f g _inst_3 _inst_4)
+Case conversion may be inaccurate. Consider using '#align category_theory.limits.preserves_pushout.iso_hom CategoryTheory.Limits.PreservesPushout.iso_homₓ'. -/
 @[simp]
 theorem PreservesPushout.iso_hom : (PreservesPushout.iso G f g).Hom = pushoutComparison G f g :=
   rfl

Changes in mathlib4

mathlib3
mathlib4
chore(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


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

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

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

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)
Diff
@@ -38,11 +38,8 @@ namespace CategoryTheory.Limits
 section Pullback
 
 variable {C : Type u₁} [Category.{v₁} C]
-
 variable {D : Type u₂} [Category.{v₂} D]
-
 variable (G : C ⥤ D)
-
 variable {W X Y Z : C} {f : X ⟶ Z} {g : Y ⟶ Z} {h : W ⟶ X} {k : W ⟶ Y} (comm : h ≫ f = k ≫ g)
 
 /-- The map of a pullback cone is a limit iff the fork consisting of the mapped morphisms is a
@@ -143,11 +140,8 @@ end Pullback
 section Pushout
 
 variable {C : Type u₁} [Category.{v₁} C]
-
 variable {D : Type u₂} [Category.{v₂} D]
-
 variable (G : C ⥤ D)
-
 variable {W X Y Z : C} {h : X ⟶ Z} {k : Y ⟶ Z} {f : W ⟶ X} {g : W ⟶ Y} (comm : f ≫ h = g ≫ k)
 
 /-- The map of a pushout cocone is a colimit iff the cofork consisting of the mapped morphisms is a
@@ -248,15 +242,12 @@ end Pushout
 section
 
 variable {C : Type u₁} [Category.{v₁} C]
-
 variable {D : Type u₂} [Category.{v₁} D]
-
 variable (G : C ⥤ D)
 
 section Pullback
 
 variable {X Y Z : C} {f : X ⟶ Z} {g : Y ⟶ Z}
-
 variable [HasPullback f g] [HasPullback (G.map f) (G.map g)]
 
 /-- If the pullback comparison map for `G` at `(f,g)` is an isomorphism, then `G` preserves the
@@ -285,7 +276,6 @@ end Pullback
 section Pushout
 
 variable {X Y Z : C} {f : X ⟶ Y} {g : X ⟶ Z}
-
 variable [HasPushout f g] [HasPushout (G.map f) (G.map g)]
 
 /-- If the pushout comparison map for `G` at `(f,g)` is an isomorphism, then `G` preserves the
feat(CategoryTheory): characterization of epi/mono with limits (#9989)

In this PR, it is shown that monomorphisms can be characterized in terms of pullback squares. Future applications of this include the fact that if a family of functors reflects isomorphisms, it shall also reflect monomorphisms and epimorphisms (provided suitable limits/colimits exist).

Diff
@@ -89,12 +89,12 @@ def preservesPullbackSymmetry : PreservesLimit (cospan g f) G where
   preserves {c} hc := by
     apply (IsLimit.postcomposeHomEquiv (diagramIsoCospan.{v₂} _) _).toFun
     apply IsLimit.ofIsoLimit _ (PullbackCone.isoMk _).symm
-    apply PullbackCone.flipIsLimit
+    apply PullbackCone.isLimitOfFlip
     apply (isLimitMapConePullbackConeEquiv _ _).toFun
     · refine @PreservesLimit.preserves _ _ _ _ _ _ _ _ ?_ _ ?_
       · dsimp
         infer_instance
-      apply PullbackCone.flipIsLimit
+      apply PullbackCone.isLimitOfFlip
       apply IsLimit.ofIsoLimit _ (PullbackCone.isoMk _)
       exact (IsLimit.postcomposeHomEquiv (diagramIsoCospan.{v₁} _) _).invFun hc
     · exact
@@ -196,15 +196,12 @@ def preservesPushoutSymmetry : PreservesColimit (span g f) G where
   preserves {c} hc := by
     apply (IsColimit.precomposeHomEquiv (diagramIsoSpan.{v₂} _).symm _).toFun
     apply IsColimit.ofIsoColimit _ (PushoutCocone.isoMk _).symm
-    apply PushoutCocone.flipIsColimit
+    apply PushoutCocone.isColimitOfFlip
     apply (isColimitMapCoconePushoutCoconeEquiv _ _).toFun
     · refine @PreservesColimit.preserves _ _ _ _ _ _ _ _ ?_ _ ?_ -- Porting note: more TC coddling
       · dsimp
         infer_instance
-      apply PushoutCocone.flipIsColimit
-      apply IsColimit.ofIsoColimit _ (PushoutCocone.isoMk _)
-      exact (IsColimit.precomposeHomEquiv (diagramIsoSpan.{v₁} _) _).invFun hc
-    · exact (c.ι.naturality WalkingSpan.Hom.snd).trans (c.ι.naturality WalkingSpan.Hom.fst).symm
+      · exact PushoutCocone.flipIsColimit hc
 #align category_theory.limits.preserves_pushout_symmetry CategoryTheory.Limits.preservesPushoutSymmetry
 
 theorem hasPushout_of_preservesPushout [HasPushout f g] : HasPushout (G.map f) (G.map g) :=
chore: space after (#8178)

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

Diff
@@ -61,7 +61,7 @@ def isLimitMapConePullbackConeEquiv :
 /-- The property of preserving pullbacks expressed in terms of binary fans. -/
 def isLimitPullbackConeMapOfIsLimit [PreservesLimit (cospan f g) G]
     (l : IsLimit (PullbackCone.mk h k comm)) :
-    have : G.map h ≫ G.map f = G.map k ≫ G.map g := by rw [←G.map_comp,←G.map_comp,comm]
+    have : G.map h ≫ G.map f = G.map k ≫ G.map g := by rw [← G.map_comp, ← G.map_comp,comm]
     IsLimit (PullbackCone.mk (G.map h) (G.map k) this) :=
   isLimitMapConePullbackConeEquiv G comm (PreservesLimit.preserves l)
 #align category_theory.limits.is_limit_pullback_cone_map_of_is_limit CategoryTheory.Limits.isLimitPullbackConeMapOfIsLimit
@@ -69,7 +69,7 @@ def isLimitPullbackConeMapOfIsLimit [PreservesLimit (cospan f g) G]
 /-- The property of reflecting pullbacks expressed in terms of binary fans. -/
 def isLimitOfIsLimitPullbackConeMap [ReflectsLimit (cospan f g) G]
     (l : IsLimit (PullbackCone.mk (G.map h) (G.map k) (show G.map h ≫ G.map f = G.map k ≫ G.map g
-    from by simp only [←G.map_comp,comm]))) : IsLimit (PullbackCone.mk h k comm) :=
+    from by simp only [← G.map_comp,comm]))) : IsLimit (PullbackCone.mk h k comm) :=
   ReflectsLimit.reflects ((isLimitMapConePullbackConeEquiv G comm).symm l)
 #align category_theory.limits.is_limit_of_is_limit_pullback_cone_map CategoryTheory.Limits.isLimitOfIsLimitPullbackConeMap
 
@@ -79,7 +79,7 @@ variable (f g) [PreservesLimit (cospan f g) G]
 morphisms of the pullback cone is a limit. -/
 def isLimitOfHasPullbackOfPreservesLimit [i : HasPullback f g] :
     have : G.map pullback.fst ≫ G.map f = G.map pullback.snd ≫ G.map g := by
-      simp only [←G.map_comp, pullback.condition];
+      simp only [← G.map_comp, pullback.condition];
     IsLimit (PullbackCone.mk (G.map (@pullback.fst _ _ _ _ _ f g i)) (G.map pullback.snd) this) :=
   isLimitPullbackConeMapOfIsLimit G _ (pullbackIsPullback f g)
 #align category_theory.limits.is_limit_of_has_pullback_of_preserves_limit CategoryTheory.Limits.isLimitOfHasPullbackOfPreservesLimit
@@ -168,14 +168,14 @@ def isColimitMapCoconePushoutCoconeEquiv :
 def isColimitPushoutCoconeMapOfIsColimit [PreservesColimit (span f g) G]
     (l : IsColimit (PushoutCocone.mk h k comm)) :
     IsColimit (PushoutCocone.mk (G.map h) (G.map k) (show G.map f ≫ G.map h = G.map g ≫ G.map k
-      from by simp only [←G.map_comp,comm] )) :=
+      from by simp only [← G.map_comp,comm] )) :=
   isColimitMapCoconePushoutCoconeEquiv G comm (PreservesColimit.preserves l)
 #align category_theory.limits.is_colimit_pushout_cocone_map_of_is_colimit CategoryTheory.Limits.isColimitPushoutCoconeMapOfIsColimit
 
 /-- The property of reflecting pushouts expressed in terms of binary cofans. -/
 def isColimitOfIsColimitPushoutCoconeMap [ReflectsColimit (span f g) G]
     (l : IsColimit (PushoutCocone.mk (G.map h) (G.map k) (show G.map f ≫ G.map h =
-      G.map g ≫ G.map k from by simp only [←G.map_comp,comm]))) :
+      G.map g ≫ G.map k from by simp only [← G.map_comp,comm]))) :
     IsColimit (PushoutCocone.mk h k comm) :=
   ReflectsColimit.reflects ((isColimitMapCoconePushoutCoconeEquiv G comm).symm l)
 #align category_theory.limits.is_colimit_of_is_colimit_pushout_cocone_map CategoryTheory.Limits.isColimitOfIsColimitPushoutCoconeMap
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

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

Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2020 Bhavik Mehta. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Bhavik Mehta, Andrew Yang
-
-! This file was ported from Lean 3 source module category_theory.limits.preserves.shapes.pullbacks
-! leanprover-community/mathlib commit f11e306adb9f2a393539d2bb4293bf1b42caa7ac
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Limits.Shapes.Pullbacks
 import Mathlib.CategoryTheory.Limits.Preserves.Basic
 
+#align_import category_theory.limits.preserves.shapes.pullbacks from "leanprover-community/mathlib"@"f11e306adb9f2a393539d2bb4293bf1b42caa7ac"
+
 /-!
 # Preserving pullbacks
 
chore: cleanup whitespace (#5988)

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

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

Diff
@@ -81,7 +81,7 @@ variable (f g) [PreservesLimit (cospan f g) G]
 /-- If `G` preserves pullbacks and `C` has them, then the pullback cone constructed of the mapped
 morphisms of the pullback cone is a limit. -/
 def isLimitOfHasPullbackOfPreservesLimit [i : HasPullback f g] :
-    have : G.map pullback.fst ≫ G.map f  = G.map pullback.snd ≫ G.map g := by
+    have : G.map pullback.fst ≫ G.map f = G.map pullback.snd ≫ G.map g := by
       simp only [←G.map_comp, pullback.condition];
     IsLimit (PullbackCone.mk (G.map (@pullback.fst _ _ _ _ _ f g i)) (G.map pullback.snd) this) :=
   isLimitPullbackConeMapOfIsLimit G _ (pullbackIsPullback f g)
chore: bye-bye, solo bys! (#3825)

This PR puts, with one exception, every single remaining by that lies all by itself on its own line to the previous line, thus matching the current behaviour of start-port.sh. The exception is when the by begins the second or later argument to a tuple or anonymous constructor; see https://github.com/leanprover-community/mathlib4/pull/3825#discussion_r1186702599.

Essentially this is s/\n *by$/ by/g, but with manual editing to satisfy the linter's max-100-char-line requirement. The Python style linter is also modified to catch these "isolated bys".

Diff
@@ -196,8 +196,7 @@ def isColimitOfHasPushoutOfPreservesColimit [i : HasPushout f g] :
 
 /-- If `F` preserves the pushout of `f, g`, it also preserves the pushout of `g, f`. -/
 def preservesPushoutSymmetry : PreservesColimit (span g f) G where
-  preserves {c} hc :=
-    by
+  preserves {c} hc := by
     apply (IsColimit.precomposeHomEquiv (diagramIsoSpan.{v₂} _).symm _).toFun
     apply IsColimit.ofIsoColimit _ (PushoutCocone.isoMk _).symm
     apply PushoutCocone.flipIsColimit
feat: port CategoryTheory.Limits.Constructions.Equalizers (#2700)
Diff
@@ -105,9 +105,9 @@ def preservesPullbackSymmetry : PreservesLimit (cospan g f) G where
           (c.π.naturality WalkingCospan.Hom.inl : _)
 #align category_theory.limits.preserves_pullback_symmetry CategoryTheory.Limits.preservesPullbackSymmetry
 
-theorem hasPullback_of_preserves_pullback [HasPullback f g] : HasPullback (G.map f) (G.map g) :=
+theorem hasPullback_of_preservesPullback [HasPullback f g] : HasPullback (G.map f) (G.map g) :=
   ⟨⟨⟨_, isLimitPullbackConeMapOfIsLimit G _ (pullbackIsPullback _ _)⟩⟩⟩
-#align category_theory.limits.has_pullback_of_preserves_pullback CategoryTheory.Limits.hasPullback_of_preserves_pullback
+#align category_theory.limits.has_pullback_of_preserves_pullback CategoryTheory.Limits.hasPullback_of_preservesPullback
 
 variable [HasPullback f g] [HasPullback (G.map f) (G.map g)]
 
@@ -211,9 +211,9 @@ def preservesPushoutSymmetry : PreservesColimit (span g f) G where
     · exact (c.ι.naturality WalkingSpan.Hom.snd).trans (c.ι.naturality WalkingSpan.Hom.fst).symm
 #align category_theory.limits.preserves_pushout_symmetry CategoryTheory.Limits.preservesPushoutSymmetry
 
-theorem hasPushout_of_preserves_pushout [HasPushout f g] : HasPushout (G.map f) (G.map g) :=
+theorem hasPushout_of_preservesPushout [HasPushout f g] : HasPushout (G.map f) (G.map g) :=
   ⟨⟨⟨_, isColimitPushoutCoconeMapOfIsColimit G _ (pushoutIsPushout _ _)⟩⟩⟩
-#align category_theory.limits.has_pushout_of_preserves_pushout CategoryTheory.Limits.hasPushout_of_preserves_pushout
+#align category_theory.limits.has_pushout_of_preserves_pushout CategoryTheory.Limits.hasPushout_of_preservesPushout
 
 variable [HasPushout f g] [HasPushout (G.map f) (G.map g)]
 
feat: port CategoryTheory.Limits.Constructions.BinaryProducts (#2699)

Co-authored-by: ChrisHughes24 <chrishughes24@gmail.com>

Diff
@@ -63,8 +63,8 @@ def isLimitMapConePullbackConeEquiv :
 
 /-- The property of preserving pullbacks expressed in terms of binary fans. -/
 def isLimitPullbackConeMapOfIsLimit [PreservesLimit (cospan f g) G]
-    (l : IsLimit (PullbackCone.mk h k comm)) : 
-    have : G.map h ≫ G.map f = G.map k ≫ G.map g := by rw [←G.map_comp,←G.map_comp,comm] 
+    (l : IsLimit (PullbackCone.mk h k comm)) :
+    have : G.map h ≫ G.map f = G.map k ≫ G.map g := by rw [←G.map_comp,←G.map_comp,comm]
     IsLimit (PullbackCone.mk (G.map h) (G.map k) this) :=
   isLimitMapConePullbackConeEquiv G comm (PreservesLimit.preserves l)
 #align category_theory.limits.is_limit_pullback_cone_map_of_is_limit CategoryTheory.Limits.isLimitPullbackConeMapOfIsLimit
@@ -81,14 +81,14 @@ variable (f g) [PreservesLimit (cospan f g) G]
 /-- If `G` preserves pullbacks and `C` has them, then the pullback cone constructed of the mapped
 morphisms of the pullback cone is a limit. -/
 def isLimitOfHasPullbackOfPreservesLimit [i : HasPullback f g] :
-    have : G.map pullback.fst ≫ G.map f  = G.map pullback.snd ≫ G.map g := by 
+    have : G.map pullback.fst ≫ G.map f  = G.map pullback.snd ≫ G.map g := by
       simp only [←G.map_comp, pullback.condition];
     IsLimit (PullbackCone.mk (G.map (@pullback.fst _ _ _ _ _ f g i)) (G.map pullback.snd) this) :=
   isLimitPullbackConeMapOfIsLimit G _ (pullbackIsPullback f g)
 #align category_theory.limits.is_limit_of_has_pullback_of_preserves_limit CategoryTheory.Limits.isLimitOfHasPullbackOfPreservesLimit
 
 /-- If `F` preserves the pullback of `f, g`, it also preserves the pullback of `g, f`. -/
-def preservesPullbackSymmetry : PreservesLimit (cospan g f) G where 
+def preservesPullbackSymmetry : PreservesLimit (cospan g f) G where
   preserves {c} hc := by
     apply (IsLimit.postcomposeHomEquiv (diagramIsoCospan.{v₂} _) _).toFun
     apply IsLimit.ofIsoLimit _ (PullbackCone.isoMk _).symm
@@ -177,7 +177,7 @@ def isColimitPushoutCoconeMapOfIsColimit [PreservesColimit (span f g) G]
 
 /-- The property of reflecting pushouts expressed in terms of binary cofans. -/
 def isColimitOfIsColimitPushoutCoconeMap [ReflectsColimit (span f g) G]
-    (l : IsColimit (PushoutCocone.mk (G.map h) (G.map k) (show G.map f ≫ G.map h = 
+    (l : IsColimit (PushoutCocone.mk (G.map h) (G.map k) (show G.map f ≫ G.map h =
       G.map g ≫ G.map k from by simp only [←G.map_comp,comm]))) :
     IsColimit (PushoutCocone.mk h k comm) :=
   ReflectsColimit.reflects ((isColimitMapCoconePushoutCoconeEquiv G comm).symm l)
@@ -188,14 +188,14 @@ variable (f g) [PreservesColimit (span f g) G]
 /-- If `G` preserves pushouts and `C` has them, then the pushout cocone constructed of the mapped
 morphisms of the pushout cocone is a colimit. -/
 def isColimitOfHasPushoutOfPreservesColimit [i : HasPushout f g] :
-    IsColimit (PushoutCocone.mk (G.map pushout.inl) (G.map (@pushout.inr _ _ _ _ _ f g i)) 
-    (show G.map f ≫ G.map pushout.inl = G.map g ≫ G.map pushout.inr from by 
+    IsColimit (PushoutCocone.mk (G.map pushout.inl) (G.map (@pushout.inr _ _ _ _ _ f g i))
+    (show G.map f ≫ G.map pushout.inl = G.map g ≫ G.map pushout.inr from by
       simp only [← G.map_comp, pushout.condition])) :=
   isColimitPushoutCoconeMapOfIsColimit G _ (pushoutIsPushout f g)
 #align category_theory.limits.is_colimit_of_has_pushout_of_preserves_colimit CategoryTheory.Limits.isColimitOfHasPushoutOfPreservesColimit
 
 /-- If `F` preserves the pushout of `f, g`, it also preserves the pushout of `g, f`. -/
-def preservesPushoutSymmetry : PreservesColimit (span g f) G where 
+def preservesPushoutSymmetry : PreservesColimit (span g f) G where
   preserves {c} hc :=
     by
     apply (IsColimit.precomposeHomEquiv (diagramIsoSpan.{v₂} _).symm _).toFun
@@ -322,4 +322,3 @@ end Pushout
 end
 
 end CategoryTheory.Limits
-
feat: port CategoryTheory.Limits.Preserves.Shapes.Pullbacks (#2571)

Dependencies 111

112 files ported (100.0%)
45421 lines ported (100.0%)

All dependencies are ported!