const In : set set prop term iIn = In infix iIn 2000 2000 const omega : set const int : set const mul_SNo : set set set term * = mul_SNo infix * 2291 2290 const eps_ : set set term diadic_rational_p = \x:set.?y:set.y iIn omega & ?z:set.z iIn int & x = eps_ y * z const minus_SNo : set set term - = minus_SNo axiom int_SNo_cases: !p:set prop.(!x:set.x iIn omega -> p x) -> (!x:set.x iIn omega -> p - x) -> !x:set.x iIn int -> p x const SNoS_ : set set var x:set var y:set hyp x iIn omega hyp y iIn int hyp !z:set.z iIn omega -> eps_ x * z iIn SNoS_ omega claim (!z:set.z iIn omega -> eps_ x * - z iIn SNoS_ omega) -> eps_ x * y iIn SNoS_ omega