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Mathlib/CategoryTheory/Closed/PowerObjects.lean

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@@ -57,7 +57,7 @@ lemma compose (h : B ⟶ C) (h' : C ⟶ D) :
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_ = F.map ((𝟙 _ ×ₘ Ph.op) ≫ (𝟙 _ ×ₘ Ph'.op)) (hPB.homEquiv (𝟙 PB)) := by
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rw[FunctorToTypes.map_comp_apply, ← map_universal, ← FunctorToTypes.map_comp_apply]
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_ = (F.curryObj.obj _).map (Ph' ≫ Ph).op (hPB.homEquiv (𝟙 PB)) := by
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simp only [prod_comp, comp_id, op_comp, curryObj]
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rw[prod_comp, comp_id, op_comp]; simp only [curryObj]
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_ = hPB.homEquiv (Ph' ≫ Ph) := by rw[← hPB.homEquiv_eq]
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/-- Let `F : ℰᵒᵖ × ℰᵒᵖ ⥤ Type`. If for each `B` we choose an object `P B` representing

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