Definition disp_nat_trans_data {C' C : precategory_data} {F' F : functor_data C' C} (a : forall x, F' x --> F x) {D' : disp_cat_data C'} {D : disp_cat_data C} (R' : disp_functor_data F' D' D) (R : disp_functor_data F D' D) := forall (x : C') (xx : D' x), R' x xx -->[ a x ] R x xx .
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.