Definition universalMap {C:category} {X:[C^op,HSET]} (r:Representation X) {c:C} : c ⇒ X -> c --> universalObject r := invmap (universalProperty _ _).
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.