Definition precomp_with_z_iso_disp_is_inj {C : category} {D : disp_cat C} {a b c : C} {i : z_iso a b} {f : b --> c} {aa : D a} {bb} {cc} (ii : z_iso_disp i aa bb) {ff ff' : bb -->[f] cc} : (ii ;; ff = ii ;; ff') -> ff = ff'.
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.