Definition double_runitor_data {C : category} {D : twosided_disp_cat C C} (I : hor_id D) (Cm : hor_comp D) : UU := ∏ (x y : C) (h : D x y), iso_twosided_disp (identity_z_iso x) (identity_z_iso y) (double_hor_comp Cm h (double_id I y)) h.
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.