Definition universalMapProperty {C:category} {X:[C^op,HSET]} (r:Representation X) {c:C} (x : c ⇒ X) : r ⟲ (r \\ x) = x := homotweqinvweq (universalProperty r c) x.
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.