const PNoLt : set (set prop) set (set prop) prop const PNoEq_ : set (set prop) (set prop) prop term PNoLe = \x:set.\p:set prop.\y:set.\q:set prop.PNoLt x p y q | x = y & PNoEq_ x p q claim !x:set.!p:set prop.!q:set prop.PNoEq_ x p q -> PNoLt x p x q | x = x & PNoEq_ x p q