Proposition is_precategory_strict_underlying_vertical_two_cat_data : is_precategory strict_underlying_vertical_precategory_data. 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.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Setcategories. Require Import UniMath.CategoryTheory.Core.TwoCategories. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Strictness. Require Import UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics. Require Import UniMath.Bicategories.DoubleCategories.Basics.StrictDoubleCatBasics. Require Import UniMath.Bicategories.DoubleCategories.Core.StrictDoubleCats.