Definition total_twosided_disp_precategory_ob_mor : precategory_ob_mor. Proof. use make_precategory_ob_mor. - exact (∑ (x : C₁) (y : C₂), D x y). - exact (λ xy₁ xy₂, ∑ (f : pr1 xy₁ --> pr1 xy₂) (g : pr12 xy₁ --> pr12 xy₂), pr22 xy₁ -->[ f ][ g ] pr22 xy₂). 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.