proposition: Corollary ProductFunctor_proj_LaxMonoidal : LaxMonoidalFunctor P → LaxMonoidalFunctor ((ProductFunctor_fst P) ∏⟶ (ProductFunctor_snd P)).
proof: Proof. intros L. exact (ProductFunctor_LaxMonoidal (ProductFunctor_fst_LaxMonoidal L) (ProductFunctor_snd_LaxMonoidal L)). Qed.
imports: Category.Lib Category.Theory.Category Category.Theory.Isomorphism Category.Theory.Functor Category.Theory.Natural.Transformation Category.Functor.Bifunctor Category.Functor.Construction.Product Category.Functor.Structure.Monoidal Category.Structure.Monoidal Category.Structure.Monoidal.Product Category.Structure.Monoidal.Proofs Category.Construction.Product Category.Instance.Fun