proposition: Proposition fget_monoton_is_functor : is_functor fget_monoton_functor_data.
proof: Proof. use tpair. - unfold functor_idax. reflexivity. - unfold functor_compax. reflexivity. Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.NaturalNumbers UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.Combinatorics.StandardFiniteSets UniMath.Combinatorics.FiniteSets UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalCategoriesTensored UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalFunctorsTensored UniMath.CategoryTheory.SimplicialSets