Definition ap_pstrans : pstrans (ap_psfunctor HX HY f) (ap_psfunctor HX HY g). Proof. use make_pstrans. - exact ap_pstrans_data. - exact ap_pstrans_laws. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.BicategoryLaws. Require Import UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat. Require Import UniMath.Bicategories.PseudoFunctors.PseudoFunctor. Require Import UniMath.Bicategories.Transformations.PseudoTransformation. Import PseudoFunctor.Notations. Require Import UniMath.Bicategories.Core.Examples.TwoType. Require Import UniMath.Bicategories.PseudoFunctors.Examples.ApFunctor.