Proposition is_precategory_transpose_strict_double_cat_precategory_data : is_precategory transpose_strict_double_cat_precategory_data. Proof. use is_precategory_one_assoc_to_two. repeat split. - intros x y f ; cbn. apply s_id_h_left. - intros x y f ; cbn. apply s_id_h_right. - intros w x y z f g h ; cbn. apply s_assocl_h. 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.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.