Definition double_cat_associator {C : category} {D : twosided_disp_cat C C} (Cm : hor_comp D) : UU := ∑ (a : double_associator_data Cm), double_associator_laws a.
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.