fact: Definition disp_is_biequivalence_data {F : psfunctor B₁ B₂} {G : psfunctor B₂ B₁} {e : is_biequivalence_unit_counit F G} (a : is_biequivalence_adjoints e) {FF : disp_psfunctor D₁ D₂ F} {GG : disp_psfunctor D₂ D₁ G} (ee : is_disp_biequivalence_unit_counit e FF GG) : UU := ∑ (uu : disp_pstrans (disp_pseudo_id D₁) (disp_pseudo_comp _ _ _ _ _ FF GG) (invunit_of_is_biequivalence a)) (cc : disp_pstrans (disp_pseudo_id D₂) (disp_pseudo_comp _ _ _ _ _ GG FF) (invcounit_of_is_biequivalence a)), (disp_invmodification _ _ _ _ (disp_comp_pstrans uu (unit_of_is_disp_biequivalence ee)) (disp_id_pstrans _) (unitcounit_of_is_biequivalence _) × disp_invmodification _ _ _ _ (disp_comp_pstrans (unit_of_is_disp_biequivalence ee) uu) (disp_id_pstrans _) (unitunit_of_is_biequivalence _)) × (disp_invmodification _ _ _ _ (disp_comp_pstrans cc (counit_of_is_disp_biequivalence ee)) (disp_id_pstrans _) (counitcounit_of_is_biequivalence _) × disp_invmodification _ _ _ _ (disp_comp_pstrans (counit_of_is_disp_biequivalence ee) cc) (disp_id_pstrans _) (counitunit_of_is_biequivalence _)).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.Core.Unitors UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.DisplayedBicats.DispInvertibles UniMath.Bicategories.DisplayedBicats.DispAdjunctions UniMath.Bicategories.DisplayedBicats.DispUnivalence UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat UniMath.Bicategories.PseudoFunctors.PseudoFunctor UniMath.Bicategories.PseudoFunctors.Examples.Identity UniMath.Bicategories.PseudoFunctors.Examples.Composition UniMath.Bicategories.PseudoFunctors.Biequivalence UniMath.Bicategories.Transformations.PseudoTransformation UniMath.Bicategories.Modifications.Modification UniMath.Bicategories.DisplayedBicats.DispPseudofunctor UniMath.Bicategories.DisplayedBicats.DispTransformation UniMath.Bicategories.DisplayedBicats.DispModification