Definition inv_mor_after_z_iso_disp {C : precategory} {D : disp_cat_data C} {x y : C} {f : z_iso x y}{xx : D x} {yy : D y} {ff : xx -->[f] yy} (i : is_z_iso_disp f ff) : ff ;; inv_mor_disp_from_z_iso i = transportb _ (z_iso_inv_after_z_iso _) (id_disp _).
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.