proposition: Lemma right_whisker_with_action_unitor : actegory_triangle_identity' Mon_V au_{Act} aα_{Act}.
proof: Proof. intros v x. use faithful_reflects_commutative_triangle. 3: { apply (leftwhiskering_faithful_action(V:=V)). } apply pathsinv0. refine (right_whisker_with_action_unitor' _ _ @ _). apply (bifunctor_leftcomp Act). Qed.
imports: UniMath.MoreFoundations.All UniMath.Foundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.Equivalences.FullyFaithful UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories