fact: Definition strict_double_cat_laws {C : category} {D : twosided_disp_cat C C} (I : hor_id D) (Cm : hor_comp D) : UU := ∑ (lp : strict_double_cat_id_left I Cm) (rp : strict_double_cat_id_right I Cm) (ap : strict_double_cat_assoc Cm), strict_double_cat_id_left_square lp × strict_double_cat_id_right_square rp × strict_double_cat_assoc_square ap.
imports: UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Core.Setcategories UniMath.CategoryTheory.Categories.CategoryOfSetCategories UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedFunctor UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedNatTrans UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.CategoryTheory.TwoSidedDisplayedCats.Strictness UniMath.CategoryTheory.TwoSidedDisplayedCats.TransportLaws UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics