Definition id_is_iso_twosided_disp {C₁ C₂ : category} {D : twosided_disp_cat C₁ C₂} {x : C₁} {y : C₂} (xy : D x y) : is_iso_twosided_disp (identity_is_z_iso x) (identity_is_z_iso y) (id_two_disp xy). Proof. simple refine (_ ,, _ ,, _). - apply id_two_disp. - apply id_two_disp_left. - apply id_two_disp_left. 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.