proposition: Lemma isotoid_idtoiso (C : category) (H : is_univalent C) (a b : ob C) (p : a = b) : isotoid _ H (idtoiso p) = p.
proof: Proof. unfold isotoid. set (Hw := homotinvweqweq (make_weq idtoiso (H a b))). simpl in Hw. apply Hw. Qed.
imports: UniMath.Foundations.PartA UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos