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chore(Algebra/Category/ModuleCat/Presheaf/Limits): remove an erw #38514

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chore(Algebra/Category/ModuleCat/Presheaf/Limits): remove an erw #38514

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12 changes: 4 additions & 8 deletions Mathlib/Algebra/Category/ModuleCat/Presheaf/Limits.lean
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Original file line number Diff line number Diff line change
Expand Up @@ -79,8 +79,7 @@ noncomputable def limitPresheafOfModules : PresheafOfModules R where
dsimp
simp only [limMap_π, Functor.comp_obj, evaluation_obj, Functor.whiskerLeft_app,
restriction_app, assoc]
-- Here we should rewrite using `Functor.assoc` but that gives a "motive is type-incorrect"
erw [preservesLimitIso_hom_π]
simp only [← Functor.assoc, preservesLimitIso_hom_π]
rw [← ModuleCat.restrictScalarsId'App_inv_naturality, map_id,
ModuleCat.restrictScalarsId'_inv_app]
dsimp
Expand All @@ -92,18 +91,15 @@ noncomputable def limitPresheafOfModules : PresheafOfModules R where
intro j
simp only [Functor.comp_obj, evaluation_obj, limMap_π, Functor.whiskerLeft_app, restriction_app,
map_comp, ModuleCat.restrictScalarsComp'_inv_app, Functor.map_comp, assoc]
-- Here we should rewrite using `Functor.assoc` but that gives a "motive is type-incorrect"
erw [preservesLimitIso_hom_π]
simp only [← Functor.assoc, preservesLimitIso_hom_π]
rw [← ModuleCat.restrictScalarsComp'App_inv_naturality]
dsimp
rw [← Functor.map_comp_assoc, ← Functor.map_comp_assoc, assoc,
preservesLimitIso_inv_π]
-- Here we should rewrite using `Functor.assoc` but that gives a "motive is type-incorrect"
erw [limMap_π]
rw [limMap_π]
dsimp
simp only [Functor.map_comp, assoc, preservesLimitIso_inv_π_assoc]
-- Here we should rewrite using `Functor.assoc` but that gives a "motive is type-incorrect"
erw [limMap_π_assoc]
rw [limMap_π_assoc]
dsimp

set_option backward.isDefEq.respectTransparency false in
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