proposition: Proposition is_symmetric_monoidal_identity {C : category} {M : monoidal C} (HM : symmetric M) : is_symmetric_monoidal_functor HM HM (identity_fmonoidal_lax M).
proof: Proof. intros x y. cbn. rewrite id_left, id_right. apply idpath. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Structure.Symmetric