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