proposition: Lemma leftwhiskering_faithful_action : faithful (leftwhiskering_functor (actegory_action _ Act) I_{Mon_V}).
proof: Proof. exact (pr2 (fully_faithful_implies_full_and_faithful _ _ _ leftwhiskering_fullyfaithful_action)). Defined.
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