Lemma CoproductArrowEta (a b : C) (CC : CoproductCocone a b) (x : C) (f : CoproductObject CC --> x) : f = CoproductArrow CC (CoproductIn1 CC · f) (CoproductIn2 CC · f). Proof. apply CoproductArrowUnique; apply idpath. Qed.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Limits.Graphs.Colimits. Require Import UniMath.CategoryTheory.RepresentableFunctors.Representation.