proposition: Lemma isotoid_inj (C : category) (H : is_univalent C) (a a' : ob C) (f f' : z_iso a a') : isotoid _ H f = isotoid _ H f' -> f = f'.
proof: Proof. apply invmaponpathsincl. apply isinclweq. apply isweqinvmap. Qed.
imports: UniMath.Foundations.PartA UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos