proposition: Lemma unitors_coincide_on_unit' : lu_{M} I_{M} ⊗^{M}_{r} I_{M} = ru_{M} I_{M} ⊗^{M}_{r} I_{M}.
proof: Proof. refine (! right_whisker_with_lunitor I_{M} I_{M} @ _). refine (_ @ monoidal_triangleidentity M I_{M} I_{M}). apply maponpaths. apply lunitor_preserves_leftwhiskering_with_unit. 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