Lemma Coproduct_endo_is_identity (CC : CoproductCocone a b) (k : CoproductObject CC --> CoproductObject CC) (H1 : CoproductIn1 CC · k = CoproductIn1 CC) (H2 : CoproductIn2 CC · k = CoproductIn2 CC) : identity _ = k. Proof. (* Defined.
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.