proposition: Lemma disp_univalent_2_0_morphisms_of_presheaf_display : disp_univalent_2_0 (morphisms_of_presheaves_display SET).
proof: Proof. apply sigma_disp_univalent_2_0_with_props. - exact univalent_cat_is_univalent_2. - apply disp_2cells_isaprop_prod ; apply disp_2cells_isaprop_presheaf. - apply disp_2cells_isaprop_cofunctormaps. - apply disp_two_presheaves_is_univalent_2_1. - apply disp_cofunctormaps_bicat_univalent_2_1. - apply disp_locally_groupoid_prod ; apply disp_locally_groupoid_presheaf. - apply disp_locally_groupoid_cofunctormaps. - apply disp_two_presheaves_is_univalent_2_0. - apply disp_cofunctormaps_bicat_univalent_2_0. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Categories.HSET.All UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.yoneda UniMath.CategoryTheory.Limits.Pullbacks UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Morphisms.Adjunctions UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Univalence UniMath.Bicategories.DisplayedBicats.Examples.ContravariantFunctor UniMath.Bicategories.Core.Examples.BicatOfUnivCats UniMath.Bicategories.DisplayedBicats.Examples.Cofunctormap UniMath.Bicategories.DisplayedBicats.Examples.FullSub UniMath.Bicategories.DisplayedBicats.Examples.Sigma UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.DisplayedBicats.DispAdjunctions UniMath.Bicategories.DisplayedBicats.DispUnivalence UniMath.Bicategories.DisplayedBicats.DispInvertibles UniMath.Bicategories.DisplayedBicats.Examples.Prod UniMath.Bicategories.DisplayedBicats.Examples.DisplayedCatToBicat