Lemma CoproductOfArrows'In (I : UU) (C : category) {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. apply CoproductOfArrowsInclusionIn. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.ProductCategory. Require Import UniMath.CategoryTheory.Limits.Graphs.Colimits. Require Import UniMath.CategoryTheory.whiskering.