Definition is_inverse_in_precat2 {C : precategory_data} {a b : C} {f : a --> b} {g : b --> a} (H : is_inverse_in_precat f g) : g · f = identity b := dirprod_pr2 H.
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.