Lemma eq_iso {C: precategory_data} {a b : C} (f g : iso a b) : pr1 f = pr1 g -> f = g. Proof. intro H. apply subtypePath. - intros t. apply isaprop_is_iso. - apply H. Defined.
Require Import UniMath.Foundations.PartA. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories.