Definition braiding_law_hexagon2 {C : category} {M : monoidal C} (B : braiding_data M) : UU := ∏ (x y z : C), αinv^{M}_{x,y,z} · (B (x⊗_{M} y) z) · αinv^{M}_{z,x,y} = (x ⊗^{M}_{l} (B y z)) · αinv^{M}_{x,z,y} · ((B x z) ⊗^{M}_{r} y).
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.