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[Merged by Bors] - chore(Geometry/RingedSpace/PresheafedSpace/HasColimits): remove an erw #38506

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yuanyi-350 wants to merge 1 commit into from
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[Merged by Bors] - chore(Geometry/RingedSpace/PresheafedSpace/HasColimits): remove an erw #38506

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7 changes: 3 additions & 4 deletions Mathlib/Geometry/RingedSpace/PresheafedSpace/HasColimits.lean
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Original file line number Diff line number Diff line change
Expand Up @@ -304,7 +304,7 @@ def colimitPresheafObjIsoComponentwiseLimit (F : J ⥤ PresheafedSpace.{_, _, v}
simp only [Functor.op_obj, op_inj_iff, Opens.map_coe, SetLike.ext'_iff,
Set.preimage_preimage]
refine congr_arg (Set.preimage · U.1) (funext fun x => ?_)
erw [← TopCat.comp_app]
simp only [colimitCocone, colimit, ← TopCat.comp_app]
congr
exact ι_preservesColimitIso_inv (forget C) F (unop X)
· intro X Y f
Expand All @@ -327,9 +327,8 @@ theorem colimitPresheafObjIsoComponentwiseLimit_inv_ι_app (F : J ⥤ Presheafed
congr_app (Iso.symm_inv _)]
dsimp
rw [map_id, comp_id, assoc, assoc, assoc, NatTrans.naturality,
← comp_c_app_assoc,
congr_app (colimit.isoColimitCocone_ι_hom _ _), assoc]
erw [limitObjIsoLimitCompEvaluation_inv_π_app_assoc, limMap_π_assoc]
← comp_c_app_assoc, congr_app (colimit.isoColimitCocone_ι_hom _ _), assoc,
colimitCocone_ι_app_c, limitObjIsoLimitCompEvaluation_inv_π_app_assoc, limMap_π_assoc]
simp

set_option backward.isDefEq.respectTransparency false in
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