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