Definition disp_nat_trans_over_id_postwhisker : disp_nat_trans (nat_trans_id _) (disp_functor_composite FF₁ GG) (disp_functor_composite FF₂ GG). Proof. simple refine (_ ,, _). - exact disp_nat_trans_over_id_postwhisker_data. - exact disp_nat_trans_over_id_postwhisker_axioms. 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.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.