proposition: Lemma maponpaths_idtoiso (a b : C) (e : a = b) : idtoiso (maponpaths (functor_on_objects F) e) = functor_on_z_iso F (idtoiso e).
proof: Proof. induction e. apply z_iso_eq. apply (! functor_id _ _ ). Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Univalence UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.TransportMorphisms UniMath.CategoryTheory.Core.Univalence