proposition: Lemma BinCoproduct_endo_is_identity (CC : BinCoproductCocone a b) (k : BinCoproductObject CC --> BinCoproductObject CC) (H1 : BinCoproductIn1 CC · k = BinCoproductIn1 CC) (H2 : BinCoproductIn2 CC · k = BinCoproductIn2 CC) : identity _ = k.
proof: Proof. use colim_endo_is_identity. intro u; induction u; simpl; assumption. Defined.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Limits.Graphs.EqDiag UniMath.CategoryTheory.Limits.BinCoproducts