proposition: Lemma CoproductOfArrowsIn {a : I -> C} (CCab : Coproduct a) {c : I -> C} (CCcd : Coproduct c) (f : ∏ i, a i --> c i) : ∏ i, CoproductIn CCab i · CoproductOfArrows CCab CCcd f = f i · CoproductIn CCcd i.
proof: Proof. unfold CoproductOfArrows; intro i. apply CoproductInCommutes. 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