Definition disp_functor_ff_reflects_isos {x y} {xx : D x} {yy : D y} {f : z_iso x y} (ff : xx -->[f] yy) (isiso: is_z_iso_disp (functor_on_z_iso F f) (♯ FF ff)) : 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.