Definition predoublecategory_interchange_id_ver ( C : predoublecategory_sq_hor_ver_unit_assoc_data) : UU := ∏ (a b c: C) (f: a -v-> b) (g: b -v-> c), (hor_sq_identity f) ·sqv (hor_sq_identity g) =hor_sq_identity(f ·v g).
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.