Lemma iso_inv_of_iso_id {C : precategory} (a : ob C) : iso_inv_from_iso (identity_iso a) = identity_iso a. Proof. apply eq_iso. apply idpath. Qed.
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.