Definition z_iso_to_twosided_disp_cat_iso (x : C₁) (y : C₂) {z₁ z₂ : D} (f : z_iso z₁ z₂) : @iso_twosided_disp _ _ constant_twosided_disp_cat _ _ _ _ (identity_z_iso x) (identity_z_iso y) z₁ z₂. Proof. simple refine (_ ,, _). - exact (pr1 f). - apply to_is_twosided_disp_cat_iso_constant. exact (pr2 f). 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.Core.Univalence. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence.