Definition make_disp_invmodification' {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 : modification α β) (Hm : is_invertible_modification m) (mm : disp_modification _ _ _ _ αα ββ m) (Hmm : ∏ (x : B₁) (xx : D₁ x), is_disp_invertible_2cell (is_invertible_modcomponent_of m Hm x) (pr1 mm x xx)) : disp_invmodification _ _ _ _ αα ββ (m,,Hm). Proof. use tpair. - intros x xx. use tpair. + exact (pr1 mm x xx). + simpl. exact (Hmm x xx). - simpl. exact (pr2 mm). 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.