Lemma setcategory_eq_morphism_pi (C : setcategory) (a b : ob C) (e e': a = b) : idtomor _ _ e = idtomor _ _ e'. Proof. assert (h : e = e'). apply uip. apply (pr2 C). apply (maponpaths (idtomor _ _ ) h). Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors.