Definition disp_functor_identity {C : category} (D : disp_cat C) : disp_functor (functor_identity _ ) D D. Proof. use tpair. - use tpair. + intros; assumption. + cbn. intros. assumption. - split; simpl. + intros; apply idpath. + intros; apply idpath. Defined.
Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Isos.