proposition: Proposition transpose_strict_double_cat_hor_id_laws : hor_id_laws transpose_strict_double_cat_hor_id_data.
proof: 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.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Setcategories UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Strictness UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics UniMath.Bicategories.DoubleCategories.Basics.StrictDoubleCatBasics UniMath.Bicategories.DoubleCategories.Core.StrictDoubleCats