Definition disp_functor_cat_data : disp_cat_data (FunctorsC'C). Proof. use tpair. - use tpair. + intro F. apply (disp_functor F D' D). + simpl. intros F' F FF' FF a. apply (disp_nat_trans a FF' FF). - use tpair. + intros x xx. apply disp_nat_trans_id. + intros ? ? ? ? ? ? ? ? X X0. apply (disp_nat_trans_comp X X0 ). Defined.
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.