proposition: Lemma symmetric_whiskers_swap_is_nat_iso {C : category} {M : monoidal C} (B : symmetric M) (x : C) : is_nat_z_iso (symmetric_whiskers_swap_nat_trans B x).
proof: Proof. intro y. exists ((monoidal_braiding_data B) y x). split ; apply monoidal_braiding_inverses. Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories