const ordinal : set prop const PNo_rel_strict_split_imv : (set (set prop) prop) (set (set prop) prop) set (set prop) prop const PNo_strict_imv : (set (set prop) prop) (set (set prop) prop) set (set prop) prop axiom PNo_rel_split_imv_imp_strict_imv: !P:set (set prop) prop.!Q:set (set prop) prop.!x:set.ordinal x -> !p:set prop.PNo_rel_strict_split_imv P Q x p -> PNo_strict_imv P Q x p const ordsucc : set set const In : set set prop term iIn = In infix iIn 2000 2000 var P:set (set prop) prop var Q:set (set prop) prop var x:set var y:set var p:set prop hyp y iIn ordsucc x hyp PNo_rel_strict_split_imv P Q y p hyp ordinal (ordsucc x) claim ordinal y -> ?z:set.z iIn ordsucc x & ?q:set prop.PNo_strict_imv P Q z q