Definition twosided_disp_functor_id (FG : twosided_disp_functor) {x : C₁} {y : C₂} (xy : D₁ x y) : #2 FG (id_two_disp xy) = transportb_disp_mor2 (functor_id F x) (functor_id G y) (id_two_disp (FG _ _ xy)) := pr12 FG x y xy.
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.