Lemma isaprop_disp_functor_axioms {C' C : category} {F : functor C' C} {D' : disp_cat C'} {D : disp_cat C} (FF : disp_functor_data F D' D) : isaprop (disp_functor_axioms FF). Proof. apply isapropdirprod; repeat (apply impred; intros); apply homsets_disp. Qed.
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.