proposition: Lemma sumMapUniqueness {C:category} {I} {c:I -> ob C} (sum : Sum c) {a:C} (f g : Hom C (universalObject sum) a) : (∏ i, f ∘ in_ sum i = g ∘ in_ sum i) -> f = g.
proof: Proof. intro e. apply opp_mor_eq, mapUniqueness. apply funextsec; intro i. apply e. Defined.
imports: UniMath.Foundations.Preamble UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.yoneda UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.MonoEpiIso UniMath.CategoryTheory.RepresentableFunctors.Bifunctor UniMath.CategoryTheory.RepresentableFunctors.Precategories UniMath.MoreFoundations.Tactics