Definition iso_inv_after_iso {C : precategory_data} {a b : C} (f: iso a b) : f · inv_from_iso f = identity _ . Proof. set (T := homotweqinvweq (make_weq (precomp_with f) (pr2 f a ))). simpl in *. apply T. 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.