proposition: Lemma mapdiagram_bincoproduct_eq_diag {C : category}{D : category} (F : functor C D)(a b : C) : eq_diag (C := D) (mapdiagram F (BinCoproducts.bincoproduct_diagram a b)) (BinCoproducts.bincoproduct_diagram (F a) (F b)).
proof: Proof. use tpair. - use bool_rect; apply idpath. - intros ??; use empty_rect. 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