const In : set set prop term iIn = In infix iIn 2000 2000 term Subq = \x:set.\y:set.!z:set.z iIn x -> z iIn y const omega : set const SNo : set prop const eps_ : set set axiom SNo_eps_: !x:set.x iIn omega -> SNo (eps_ x) const nat_p : set prop const mul_SNo : set set set term * = mul_SNo infix * 2291 2290 const SNoS_ : set set lemma !x:set.x iIn omega -> SNo (eps_ x) -> !y:set.nat_p y -> eps_ x * y iIn SNoS_ omega claim !x:set.x iIn omega -> !y:set.nat_p y -> eps_ x * y iIn SNoS_ omega