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{{wiktionary}}
{{wiktionary}}
A '''corollary''' is a [[mathematics|mathematical]] statement which follows easily from a previously proven statement, typically a mathematical [[theorem]]. The use of the name ''corollary'' in place of ''proposition'' or ''theorem'' is usually subjective: proposition ''A'' is a corollary of proposition ''B'' if ''A'' can be deduced quickly and easily from ''B'', but the meaning of "quickly and easily" varies depending upon the author and context. Sometimes a corollary has a proof which explains the derivation; sometimes the derivation is considered to be self-evident.
In [[mathematics]], <!-- NOTE: '''corollary''' has meanings outside 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. Sometimes a corollary has a proof that explains the derivation; sometimes the derivation is considered to be self-evident.


[[Category:Mathematical terminology]]
[[Category:Mathematical terminology]]

Revision as of 21:23, 15 September 2007

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. Sometimes a corollary has a proof that explains the derivation; sometimes the derivation is considered to be self-evident.