header {* Distributive law for the sum of 2 *} (* This is similar to Distributive_Law, but assumes a distributive law Λ5 over (SpK,ΣΣ5,F) instead of (S,ΣΣ5,F): *) theory Stream_Distributive_Law5 imports Stream_Integrate_New_Op5 begin (* We assume (S,ΣΣ,F)-distributive law, where: -- S is the syntactic signature and T is its term extension (free algebra extension) -- F is the behavior functor *) (* (* Distributive law: *) consts Λ5 :: "('a × 'a F) SpK => 'a ΣΣ5 F" axiomatization where Λ5_natural: "Λ5 o SpKmap (f ** Fmap f) = Fmap (T1_map f) o Λ5" *) end