proposition: Lemma right_whisker_with_lunitor : triangle_identity' lu_{M} α_{M}.
proof: Proof. intros x y. use faithful_reflects_commutative_triangle. 3: { apply leftwhiskering_faithful. } apply pathsinv0. refine (right_whisker_with_lunitor' _ _ @ _). apply (bifunctor_leftcomp (monoidal_tensor M)). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.Notations UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.Equivalences.FullyFaithful UniMath.CategoryTheory.opp_precat