proposition: Lemma binarySumMapUniqueness {C:category} {a b:C} (sum : BinarySum a b) {c:C} (f g : Hom C (rm_opp_ob (universalObject sum)) c) : f ∘ in_1 sum = g ∘ in_1 sum -> f ∘ in_2 sum = g ∘ in_2 sum -> f = g.
proof: Proof. intros r s. apply opp_mor_eq, mapUniqueness, dirprodeq; assumption. 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