fact: Definition make_hor_id_data {C : category} (D : twosided_disp_cat C C) (I : ∏ (x : C), D x x) (sI : ∏ (x y : C) (f : x --> y), I x -->[ f ][ f] I y) : hor_id_data D := I ,, sI.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos