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Corollary: Difference between revisions

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merge this to theorem
It is a crying shame that corollary redirects to theorem!
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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.
#REDIRECT [[theorem]]

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

{{maths-stub}}

Revision as of 18:38, 4 May 2007

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.