From a45d823b6eb27c4ccff12b1a40665ec079835583 Mon Sep 17 00:00:00 2001 From: Matthew Ballard Date: Sat, 18 Feb 2023 23:26:14 -0500 Subject: [PATCH] fix final error --- Mathlib/CategoryTheory/Limits/HasLimits.lean | 7 ++----- 1 file changed, 2 insertions(+), 5 deletions(-) diff --git a/Mathlib/CategoryTheory/Limits/HasLimits.lean b/Mathlib/CategoryTheory/Limits/HasLimits.lean index a42f1ebbe9b46..60654cdecd776 100644 --- a/Mathlib/CategoryTheory/Limits/HasLimits.lean +++ b/Mathlib/CategoryTheory/Limits/HasLimits.lean @@ -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 @@ -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