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fix final error
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mattrobball committed Feb 25, 2023
1 parent f7dcf96 commit a45d823
Showing 1 changed file with 2 additions and 5 deletions.
7 changes: 2 additions & 5 deletions Mathlib/CategoryTheory/Limits/HasLimits.lean
Expand Up @@ -491,10 +491,7 @@ theorem limit.pre_post {D : Type u'} [Category.{v'} D] (E : K ⥤ J) (F : J ⥤
[HasLimit F] [HasLimit (E ⋙ F)] [HasLimit (F ⋙ G)]
[HasLimit ((E ⋙ F) ⋙ G)] :-- G (limit F) ⟶ G (limit (E ⋙ F)) ⟶ limit ((E ⋙ F) ⋙ G) vs
-- G (limit F) ⟶ limit F ⋙ G ⟶ limit (E ⋙ (F ⋙ G)) or
G.map
(limit.pre F E) ≫
limit.post (E ⋙ F) G =
limit.post F G ≫ limit.pre (F ⋙ G) E := by
G.map (limit.pre F E) ≫ limit.post (E ⋙ F) G = limit.post F G ≫ limit.pre (F ⋙ G) E := by
ext ; erw [assoc, limit.post_π, ← G.map_comp, limit.pre_π, assoc, limit.pre_π, limit.post_π]
#align category_theory.limits.limit.pre_post CategoryTheory.Limits.limit.pre_post

Expand Down Expand Up @@ -1091,7 +1088,7 @@ theorem colimit.pre_post {D : Type u'} [Category.{v'} D] (E : K ⥤ J) (F : J
-- G (colimit F) ⟶ G (colimit (E ⋙ F)) ⟶ colimit ((E ⋙ F) ⋙ G) vs
-- G (colimit F) ⟶ colimit F ⋙ G ⟶ colimit (E ⋙ (F ⋙ G)) or
colimit.post (E ⋙ F) G ≫ G.map (colimit.pre F E) =
(@colimit.pre _ _ _ (F ⋙ G) _ E H ≫ colimit.post F G : _) := by
colimit.pre (F ⋙ G) E ≫ colimit.post F G := by
ext j
rw [← assoc, colimit.ι_post, ← G.map_comp, colimit.ι_pre, ← assoc]
letI : HasColimit (E ⋙ F ⋙ G) := show HasColimit ((E ⋙ F) ⋙ G) by infer_instance
Expand Down

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