~~The term "~~An '''elementary proof~~" ~~''' or ~~"~~'''elementary ~~techniques" ~~technique''' in mathematics ~~means ~~is a [[proof ~~| proofs~~]] that ~~use ~~uses only [[real numbers]] or [[real analysis]] rather than the use of [[complex analysis]].<ref>http://mathworld.wolfram.com/ElementaryProof.html</ref> Elementary proofs cannot be broken down into smaller proofs of the same proposition.