Definition total_twosided_disp_precategory_data : precategory_data. Proof. use make_precategory_data. - exact total_twosided_disp_precategory_ob_mor. - exact (λ xy, identity (pr1 xy) ,, identity (pr12 xy) ,, id_two_disp (pr22 xy)). - exact (λ xy₁ xy₂ xy₃ fg₁ fg₂, pr1 fg₁ · pr1 fg₂ ,, pr12 fg₁ · pr12 fg₂ ,, pr22 fg₁ ;;2 pr22 fg₂). 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.DisplayedCats.Isos. Require Import UniMath.CategoryTheory.DisplayedCats.Univalence. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence. Section FromIsoTotal. End FromIsoTotal.