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.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos.