Definition make_disp_psfunctor_contr {F : psfunctor B₁ B₂} (obFF : ∏ x:B₁, D₁ x → D₂ (F x)) (morFF : ∏ (x y : B₁) (f : B₁⟦x,y⟧) (xx : D₁ x) (yy : D₁ y), (xx -->[f] yy) → (obFF x xx -->[#F f] obFF y yy)) : disp_psfunctor D₁ D₂ F. Proof. use make_disp_psfunctor. - intros x y f g τ xx yy ff gg. apply isapropifcontr. apply HD₁. - exact HD₂. - exact obFF. - exact morFF. - intros. apply HD₁. - intros. apply HD₁. - 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.