proposition: Proposition sym_mon_hexagon_rassociator (x y z : V) : mon_rassociator x y z · sym_mon_braiding (x ⊗ y) z · mon_rassociator z x y = identity x #⊗ sym_mon_braiding y z · mon_rassociator x z y · sym_mon_braiding x z #⊗ identity y.
proof: Proof. pose (pr22 (pr222 V) x y z) as p. refine (p @ _). rewrite !assoc'. unfold monoidal_cat_tensor_mor. unfold functoronmorphisms1. rewrite (bifunctor_leftid V). rewrite (bifunctor_rightid V). rewrite id_left, id_right. apply idpath. Qed.
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