Lemma disp_functor_cat_is_disp_cat : disp_cat_axioms _ disp_functor_cat_data. Proof. repeat split. - apply disp_nat_trans_id_left. - apply disp_nat_trans_id_right. - apply disp_nat_trans_assoc. - intros. apply isaset_disp_nat_trans. Qed.
Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Functors. Require Import UniMath.CategoryTheory.DisplayedCats.NaturalTransformations. Require Import UniMath.CategoryTheory.DisplayedCats.Isos.