Definition make_is_inverse_in_precat {C : precategory_data} {a b : C} {f : a --> b} {g : b --> a} (H1 : f · g = identity a) (H2 : g · f = identity b) : is_inverse_in_precat f g := (H1,,H2).
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.