Editing Weierstrass preparation theorem (section)

===Division theorem===
A related result is the '''Weierstrass division theorem''', which states that if ''f'' and ''g'' are analytic functions, and ''g'' is a Weierstrass polynomial of degree ''N'', then there exists a unique pair ''h'' and ''j'' such that ''f'' = ''gh'' + ''j'', where ''j'' is a polynomial of degree less than ''N''. In fact, many authors prove the Weierstrass preparation as a corollary of the division theorem. It is also possible to prove the division theorem from the preparation theorem so that the two theorems are actually equivalent.<ref>{{citation|title=Analytische Stellenalgebren|author1=Grauert, Hans|author1-link=Hans Grauert|author2=Remmert, Reinhold|author2-link=Reinhold Remmert|publisher=Springer|language=German|page=43|doi=10.1007/978-3-642-65033-8|year=1971|isbn=978-3-642-65034-5}}</ref>