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Mathlib/CategoryTheory/Limits Expand file tree Collapse file tree Original file line number Diff line number Diff line change @@ -74,7 +74,7 @@ theorem finite_colimit_eq_finset_univ_sup [SemilatticeSup α] [OrderBot α] (F :
7474A finite product in the category of a `SemilatticeInf` with `OrderTop` is the same as the infimum.
7575-/
7676theorem finite_product_eq_finset_inf [SemilatticeInf α] [OrderTop α] {ι : Type u} [Fintype ι]
77- (f : ι → α) : ∏ᶜ f = Fintype.elems .inf f := by
77+ (f : ι → α) : ∏ᶜ f = Finset.univ .inf f := by
7878 trans
7979 · exact
8080 (IsLimit.conePointUniqueUpToIso (limit.isLimit _)
@@ -87,7 +87,7 @@ theorem finite_product_eq_finset_inf [SemilatticeInf α] [OrderTop α] {ι : Typ
8787supremum.
8888-/
8989theorem finite_coproduct_eq_finset_sup [SemilatticeSup α] [OrderBot α] {ι : Type u} [Fintype ι]
90- (f : ι → α) : ∐ f = Fintype.elems .sup f := by
90+ (f : ι → α) : ∐ f = Finset.univ .sup f := by
9191 trans
9292 · exact
9393 (IsColimit.coconePointUniqueUpToIso (colimit.isColimit _)
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