header {* Distributive law for the sum of 2 *} (* This is similar to Distributive_Law, but assumes a distributive law Λ3 over (SpK,ΣΣ3,F) instead of (S,ΣΣ3,F): *) theory Stream_Distributive_Law3 imports Stream_Integrate_New_Op3 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 Λ3 :: "('a × 'a F) SpK => 'a ΣΣ3 F" axiomatization where Λ3_natural: "Λ3 o SpKmap (f ** Fmap f) = Fmap (T1_map f) o Λ3" *) end