Proposition ver_op_twosided_disp_cat_axioms : twosided_disp_cat_axioms ver_op_twosided_disp_cat_data. Proof. repeat split. - intro ; intros ; cbn in *. apply (id_two_disp_right (D := D)). - intro ; intros ; cbn in *. apply (id_two_disp_left (D := D)). - intro ; intros ; cbn in *. refine (assoc_two_disp_alt (D := D) _ _ _ @ _). unfold transportb_disp_mor2. use transportf_disp_mor2_eq. apply idpath. - intro ; intros. apply isaset_disp_mor. 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.opp_precat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Strictness.