Definition braiding_law_hexagon1 {C : category} {M : monoidal C} (B : braiding_data M) : UU := ∏ (x y z : C), α^{M}_{x,y,z} · (B x (y⊗_{M} z)) · α^{M}_{y,z,x} = ((B x y) ⊗^{M}_{r} z) · α^{M}_{y,x,z} · (y ⊗^{M}_{l} (B x z)).
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.