Lemma eq_z_iso_disp {C : category} {D : disp_cat C} {x y : C} (f : z_iso x y) {xx : D x} {yy} (ff ff' : z_iso_disp f xx yy) : pr1 ff = pr1 ff' -> ff = ff'. Proof. apply subtypePath; intro; apply isaprop_is_z_iso_disp. 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.