Definition make_disp_invmodification_contr {F₁ F₂ : psfunctor B₁ B₂} {α β : pstrans F₁ F₂} {FF₁ : disp_psfunctor D₁ D₂ F₁} {FF₂ : disp_psfunctor D₁ D₂ F₂} {αα : disp_pstrans FF₁ FF₂ α} {ββ : disp_pstrans FF₁ FF₂ β} (m : invertible_modification α β) : disp_invmodification _ _ _ _ αα ββ m. Proof. use make_disp_invmodification. - intros x y f g τ xx yy ff gg. apply isapropifcontr. apply HD₁. - exact HD₂. - 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.