Proposition is_discrete_twosided_disp_cat_on_disp_cat (H : discrete_twosided_disp_cat D₁₂) : discrete_twosided_disp_cat twosided_disp_cat_on_disp_cat. Proof. simple refine (_ ,, _ ,, _). - use isaprop_mor_twosided_disp_cat_on_disp_cat. apply H. - use all_disp_mor_iso_twosided_disp_cat_on_disp_cat. apply H. - use is_univalent_twosided_disp_cat_on_disp_cat. apply H. Qed.
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.DisplayedCats.Isos. Require Import UniMath.CategoryTheory.DisplayedCats.Total. Require Import UniMath.CategoryTheory.DisplayedCats.Univalence. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Discrete. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Total.