Definition postcomp_with_z_iso_disp_is_inj {C : category} {D : disp_cat C} {x y z : C} {f : x --> y} {g : x --> y} {h : y --> z} (Hh : is_z_isomorphism h) (p : f = g) {xx : D x} {yy : D y} {zz : D z} {ff : xx -->[ f ] yy} {gg : xx -->[ g ] yy} {hh : yy -->[ h ] zz} (Hhh : is_z_iso_disp (h ,, Hh) hh) (pp : (ff ;; hh = transportb (λ z, _ -->[ z ] _) (maponpaths (λ z, _ · h) p) (gg ;; hh))%mor_disp) : ff = transportb _ p gg.
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.