Definition CoproductOfArrows {a : I -> C} (CCab : Coproduct a) {c : I -> C} (CCcd : Coproduct c) (f : ∏ i, a i --> c i) : CoproductObject CCab --> CoproductObject CCcd := CoproductArrow CCab (λ i, f i · CoproductIn CCcd i).
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.