Definition id_iso_twosided_disp {C₁ C₂ : category} {D : twosided_disp_cat C₁ C₂} {x : C₁} {y : C₂} (xy : D x y) : iso_twosided_disp (identity_z_iso x) (identity_z_iso y) xy xy. Proof. use make_iso_twosided_disp. - apply id_two_disp. - exact (id_is_iso_twosided_disp xy). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. 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. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat.