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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. |
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. |
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Revision as of 13:59, 10 July 2007
Look up corollary in Wiktionary, the free dictionary.
A corollary is a 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.
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