proposition: Lemma psfunctor_to_lax_monoidal_functor_data_is_functor : is_functor psfunctor_to_lax_monoidal_functor_data.
proof: Proof. split; red; cbn. - intros a. apply psF. - intros a b c f g. apply psF. 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.AlternativeDefinitions.MonoidalCategoriesTensored UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalFunctorsTensored UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Examples.BicategoryFromMonoidal UniMath.Bicategories.MonoidalCategories.MonoidalFromBicategory UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat UniMath.Bicategories.PseudoFunctors.PseudoFunctor