Proposition transpose_strict_double_cat_hor_id_laws : hor_id_laws transpose_strict_double_cat_hor_id_data. Proof. split ; cbn. - intro x. rewrite s_id_h_square_id. apply idpath. - intros x y z h k. rewrite s_comp_h_square_id. apply idpath. Qed.
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.