fact: Definition hor_id_laws {C : category} {D : twosided_disp_cat C C} (I : hor_id_data D) : UU := (∏ (x : C), double_id_mor I (identity x) = id_two_disp _) × (∏ (x y z : C) (f : x --> y) (g : y --> z), double_id_mor I (f · g) = double_id_mor I f ;;2 double_id_mor I g).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos