const SNoLe : set set prop term <= = SNoLe infix <= 2020 2020 axiom SNoLe_ref: !x:set.x <= x const SNoLt : set set prop term < = SNoLt infix < 2020 2020 axiom SNoLtLe: !x:set.!y:set.x < y -> x <= y const SNo : set prop axiom SNoLt_trichotomy_or: !x:set.!y:set.SNo x -> SNo y -> x < y | x = y | y < x claim !x:set.!y:set.SNo x -> SNo y -> x < y | y <= x