Definition sumMapExistence {C:category} {I} {c:I -> ob C} (sum : Sum c) {a:C} : (∏ i, Hom C (c i) a) -> Hom C (universalObject sum) a := λ f, f // sum.
Require Import UniMath.Foundations.Preamble. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import Require Import Require Import UniMath.MoreFoundations.Tactics.