Definition universalObjectFunctor_on_map (C:category) {X Y:RepresentedFunctor C} (p:X-->Y) : universalObjectFunctor C ▭ p = pr2 Y \\ (p ⟳ pr2 X). Proof. reflexivity. Defined.
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.