const SNo : set prop const SNoLt : set set prop term < = SNoLt infix < 2020 2020 const add_SNo : set set set term + = add_SNo infix + 2281 2280 axiom add_SNo_3_3_3_Lt1: !x:set.!y:set.!z:set.!w:set.!u:set.SNo x -> SNo y -> SNo z -> SNo w -> SNo u -> (x + y) < z + w -> (x + y + u) < z + w + u axiom add_SNo_rotate_3_1: !x:set.!y:set.!z:set.SNo x -> SNo y -> SNo z -> x + y + z = z + x + y claim !x:set.!y:set.!z:set.!w:set.!u:set.SNo x -> SNo y -> SNo z -> SNo w -> SNo u -> (y + x) < z + w -> (x + u + y) < z + w + u