Definition is_inverse_in_precat_identity {C : precategory} (c : C) : is_inverse_in_precat (identity c) (identity c).
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.