proposition: Proposition twosided_disp_cat_to_disp_cat_psfunctor_iso : disp_psfunctor_iso twosided_disp_cat_to_disp_cat_psfunctor.
proof: Proof. repeat split. - intro C. exact (pr2 (univalent_twosided_disp_cat_weq_univalent_disp_cat _ _)). - intros C₁ C₂ F D₁ D₂. exact (pr2 (two_sided_disp_functor_weq_disp_functor F F (pr1 D₁) (pr1 D₂))). - intros C₁ C₂ F G τ D₁ D₂ FF GG. exact (pr2 (twosided_disp_nat_trans_weq_disp_nat_trans τ τ FF GG)). Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Functors UniMath.CategoryTheory.DisplayedCats.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedFunctor UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedNatTrans UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.DisplayedBicats.DispUnivalence UniMath.Bicategories.DisplayedBicats.Examples.DispBicatOfDispCats UniMath.Bicategories.DisplayedBicats.UnivalenceTechniques UniMath.Bicategories.Core.Examples.BicatOfUnivCats UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat UniMath.Bicategories.PseudoFunctors.PseudoFunctor UniMath.Bicategories.PseudoFunctors.Examples.CatDiag UniMath.Bicategories.DisplayedBicats.DispPseudofunctor