Definition braiding_laws_one_hexagon_braiding_z_iso {C : category} {M : monoidal C} {B : braiding_data M} (H : braiding_laws_one_hexagon B) (x y : C) : z_iso (x ⊗_{M} y) (y ⊗_{M} x). Proof. use make_z_iso. - exact (B x y). - exact (B y x). - abstract (split ; apply H). Defined.
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.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Import BifunctorNotations. Import MonoidalNotations.