Lemma id_identity2' {C : folds_precat} {a : C} {f : a ⇒ a} : I f -> f = identity (C:=C^^) _ . Proof. intro H. apply path_to_ctr; assumption. Qed.
Require Import UniMath.Folds.UnicodeNotations. Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.Foundations.UnivalenceAxiom. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.Folds.folds_precat.