Corollary

In mathematics, a corollary' is a statement which follows readily from a previously proven statement, typically a mathematical theorem. The use of the term corollary, rather than proposition or theorem, is essentially subjective. Proposition A is a corollary of proposition B if A can readily be deduced from B, but the meaning of readily varies depending upon the author and context. Often the importance of the corollary is considered secondary to that of the initial theorem; A is unlikely to be termed a corollary of B if its mathematical consequences are as significant as Bs. Sometimes a corollary has a proof that explains the derivation; sometimes the derivation is considered to be self-evident.