Definition make_disp_pstrans_contr {F₁ F₂ : psfunctor B₁ B₂} {FF₁ : disp_psfunctor D₁ D₂ F₁} {FF₂ : disp_psfunctor D₁ D₂ F₂} {α : pstrans F₁ F₂} (αα₁ : ∏ (x : B₁) (xx : D₁ x), FF₁ x xx -->[ α x ] FF₂ x xx) : disp_pstrans FF₁ FF₂ α. Proof. use make_disp_pstrans. - intros x y f g τ xx yy ff gg. apply isapropifcontr. apply HD₁. - exact HD₂. - exact αα₁. - intros. apply HD₁. Defined.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.PseudoFunctors.PseudoFunctor. Import PseudoFunctor.Notations. Require Import UniMath.Bicategories.PseudoFunctors.Biequivalence. Require Import UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat. Require Import UniMath.Bicategories.Transformations.PseudoTransformation. Require Import UniMath.Bicategories.Modifications.Modification. Require Import UniMath.Bicategories.DisplayedBicats.DispBicat. Import DispBicat.Notations. Require Import UniMath.Bicategories.DisplayedBicats.DispUnivalence. Require Import UniMath.Bicategories.DisplayedBicats.DispPseudofunctor. Require Import UniMath.Bicategories.DisplayedBicats.DispTransformation. Require Import UniMath.Bicategories.DisplayedBicats.DispModification.