Definition make_discrete_twosided_disp_cat {C₁ C₂ : category} {D : twosided_disp_cat C₁ C₂} (HD₁ : isaprop_disp_twosided_mor D) (HD₂ : sym_mor_twosided_disp_cat D) (HD₃ : is_univalent_twosided_disp_cat D) : discrete_twosided_disp_cat D. Proof. simple refine (_ ,, _ ,, _). - exact HD₁. - apply all_disp_mor_iso_from_prop. + exact HD₁. + exact HD₂. - exact HD₃. 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.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.Profunctors.Core. Require Import UniMath.CategoryTheory.opp_precat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence.