proposition: Lemma CoproductOfArrowsIn1 {a b : C} (CCab : CoproductCocone a b) {c d : C} (CCcd : CoproductCocone c d) (f : a --> c) (g : b --> d) : CoproductIn1 CCab · CoproductOfArrows CCab CCcd f g = f · CoproductIn1 CCcd.
proof: Proof. unfold CoproductOfArrows. apply CoproductIn1Commutes. Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.RepresentableFunctors.Representation