Lemma isaprop_disp_nat_trans_axioms {C' C : category} {F' F : functor_data C' C} (a : nat_trans F' F) {D' : disp_cat_data C'} {D : disp_cat C} {R' : disp_functor_data F' D' D} {R : disp_functor_data F D' D} (b : disp_nat_trans_data a R' R) : isaprop (disp_nat_trans_axioms b). Proof. repeat (apply impred; intro). 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.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Functors. Require Import UniMath.CategoryTheory.DisplayedCats.Isos.