Definition predoublecategory_interchange_id_obj ( C : predoublecategory_sq_hor_ver_unit_assoc_data) : UU := ∏ (a :C), ver_sq_identity (hor_identity a) = hor_sq_identity (ver_identity a).
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.