Definition double_cat_lunitor {C : category} {D : twosided_disp_cat C C} (I : hor_id D) (Cm : hor_comp D) : UU := ∑ (l : double_lunitor_data I Cm), double_lunitor_laws l.
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.