proposition: Proposition sym_mon_braiding_rinvunitor (x : V) : mon_rinvunitor x · sym_mon_braiding x (I_{V}) = mon_linvunitor x.
proof: Proof. refine (!(id_right _) @ _ @ id_left _). rewrite <- mon_lunitor_linvunitor. rewrite !assoc. apply maponpaths_2. rewrite !assoc'. rewrite sym_mon_braiding_lunitor. apply mon_rinvunitor_runitor. 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