Definition two_sided_disp_functor_to_disp_functor_data : disp_functor_data (pair_functor F G) (twosided_disp_cat_to_disp_cat _ _ D₁) (twosided_disp_cat_to_disp_cat _ _ D₂). Proof. simple refine (_ ,, _). - exact (λ xy, FG (pr1 xy) (pr2 xy)). - exact (λ x₁ x₂ xx₁ xx₂ f ff, #2 FG ff). 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.