proposition: Lemma CoproductInCommutes (a : I -> C) (CC : Coproduct a) : ∏ (c : C) (f : ∏ i, a i --> c) i, CoproductIn CC i · CoproductArrow CC f = f i.
proof: Proof. intros c f i. exact (pr2 (pr1 (isCoproduct_Coproduct CC _ f)) i). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.ProductCategory UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.whiskering