proposition: Proposition is_precategory_strict_underlying_vertical_two_cat_data : is_precategory strict_underlying_vertical_precategory_data.
proof: Proof. repeat split. - cbn ; intros x y f. apply s_id_v_left. - cbn ; intros x y f. apply s_id_v_right. - cbn ; intros w x y z f g h. apply s_assocl_v. - cbn ; intros w x y z f g h. apply s_assocr_v. Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Setcategories UniMath.CategoryTheory.Core.TwoCategories UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Strictness UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics UniMath.Bicategories.DoubleCategories.Basics.StrictDoubleCatBasics UniMath.Bicategories.DoubleCategories.Core.StrictDoubleCats