proposition: Lemma SigmaMonoid_to_monoid_laws : is_functor SigmaMonoid_to_monoid_data.
proof: Proof. split. - intro. apply idpath. - intro; intros. apply idpath. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.Examples.Sigma UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Actegories.MorphismsOfActegories UniMath.CategoryTheory.Monoidal.CategoriesOfMonoids UniMath.CategoryTheory.FunctorAlgebras UniMath.SubstitutionSystems.GeneralizedSubstitutionSystems