Lemma idtoiso_disp {C} {D : disp_cat C} {x x' : C} (e : x = x') {xx : D x} {xx' : D x'} (ee : transportf _ e xx = xx') : z_iso_disp (idtoiso e) xx xx'. Proof. destruct e, ee; apply identity_z_iso_disp. Defined.
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.