Proof That Nobody is Chuck Norris

A Nobody - Somebody- Everybody - Chuck Norris Problem

(Copied from Uncyclopedia :D)

So we all know that

(1) Nobody can defeat Chuck Norris

(2) In a fight between Somebody and Nobody , Somebody must win

(3) Everybody can defeat Somebody

(4) Chuck Norris can defeat Everybody

So we have

Chuck Norris can defeat Everybody which can defeat Somebody which wins over Nobody

Hence (5) Chuck Norris can defeat Nobody

(1) and (5) implies Nobody is Chuck Norris