Definition get_predoublecategory_interchange_id_obj {C : predoublecategory} (a :C) : ver_sq_identity (hor_identity a) = hor_sq_identity (ver_identity a) := (pr1 (pr222 (pr222 C))) 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.