Definition universalProperty {C:category} {X:[C^op,HSET]} (r:Representation X) (c:C) : c --> universalObject r ≃ (c ⇒ X) := make_weq (λ f : c --> universalObject r, r ⟲ f) (pr2 (pr2 r) c).
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.