Lemma iso_inv_iso_inv {C : precategory} (a b : ob C) (f : iso a b) : iso_inv_from_iso (iso_inv_from_iso f) = f. Proof. apply eq_iso. simpl. apply pathsinv0. apply inv_iso_unique'. apply iso_after_iso_inv. 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.