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 int : set axiom Subq_omega_int: Subq omega int const diadic_rational_p : set prop axiom int_diadic_rational_p: !x:set.x iIn int -> diadic_rational_p x claim !x:set.x iIn omega -> diadic_rational_p x