Definition predoublecategory : UU := ∑ (C:predoublecategory_sq_hor_ver_unit_assoc_data), ( (predoublecategory_ver_left_unitor_naturality C) × (predoublecategory_ver_right_unitor_naturality C) × (predoublecategory_ver_assoc_naturality C) × (predoublecategory_ver_unitor_coherence C) × (predoublecategory_ver_assoc_coherence C) × (predoublecategory_interchange C)).
Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.MoreFoundations.Notations. Require Import UniMath.CategoryTheory.Core.Prelude. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat. Require Import UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence.