Definition disp_functor_on_z_iso_disp {C C'} {F} {D : disp_cat C} {D' : disp_cat C'} (FF : disp_functor F D D') {x y} {xx : D x} {yy} {f : z_iso x y} (ff : z_iso_disp f xx yy) : z_iso_disp (functor_on_z_iso F f) (FF _ xx) (FF _ yy) := (_ ,, disp_functor_on_is_z_iso_disp _ ff).
Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Isos.