Definition left_total_of_twosided_disp_cat_id_comp : disp_cat_id_comp C₂ left_total_of_twosided_disp_cat_ob_mor. Proof. split. - exact (λ y xy, identity (pr1 xy) ,, id_two_disp (pr2 xy)). - exact (λ y₁ y₂ y₃ g₁ g₂ xy₁ xy₂ xy₃ fg₁ fg₂, pr1 fg₁ · pr1 fg₂ ,, (pr2 fg₁ ;;2 pr2 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.