Definition braiding_laws_to_braiding_laws_one_hexagon {C : category} {M : monoidal C} (B : braiding_data M) : braiding_laws B B -> braiding_laws_one_hexagon B. Proof. intro Hyp. split3. - exact (pr1 Hyp). - exact (pr12 Hyp). - exact (pr122 Hyp). 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.