Definition braiding_law_naturality_right {C : category} {M : monoidal C} (B : braiding_data M) : UU := ∏ (x1 x2 y : C) (f : C⟦x1, x2⟧), (B x1 y) · (y ⊗^{M}_{l} f) = (f ⊗^{M}_{r} y) · (B x2 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.