Definition total_twosided_disp_functor_data : functor_data (total_twosided_disp_category D₁) (total_twosided_disp_category D₂). Proof. use make_functor_data. - exact (λ xy, F (pr1 xy) ,, G (pr12 xy) ,, FG _ _ (pr22 xy)). - exact (λ xy₁ xy₂ fg, #F (pr1 fg) ,, #G (pr12 fg) ,, #2 FG (pr22 fg)). 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.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Functors. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Discrete. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Total. Section FromDispFunctor. End FromDispFunctor.