Definition double_cat_to_ver_bicat_sq_bicat : ver_bicat_sq_bicat. Proof. use make_ver_bicat_sq_bicat. - exact double_cat_to_ver_sq_bicat. - exact double_cat_to_ver_sq_bicat_ver_id_comp. - exact double_cat_to_ver_sq_bicat_id_comp_cells. - exact double_cat_to_ver_sq_bicat_prebicat_laws. - intros x y f g. apply (cellset_property (C := ℍ)). Defined.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Examples.DiscreteBicat. Require Import UniMath.Bicategories.DoubleCategories.DoubleBicat.Core. Require Import UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics. Require Import UniMath.Bicategories.DoubleCategories.Core.DoubleCats. Require Import UniMath.Bicategories.DoubleCategories.DerivedLaws.TransportLaws. Require Import UniMath.Bicategories.DoubleCategories.Core.UnivalentDoubleCats. Require Import UniMath.Bicategories.DoubleCategories.Core.CompanionsAndConjoints. Require Import UniMath.Bicategories.DoubleCategories.Underlying.HorizontalBicategory.