Lemma is_z_iso_disp_transportf {C : category} {D : disp_cat C} {x y : C} {f f' : z_iso x y} (e : f = f') {xx : D x} {yy} {ff : xx -->[f] yy} (is : is_z_iso_disp _ ff) : is_z_iso_disp f' (transportf _ (maponpaths _ e) ff). Proof. induction e. apply is. Qed.
Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.DisplayedCats.Core.