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


For example:
==See also==
The corollary to "No Child Gets Behind" is "No Child gets Ahead"
* [[Lemma (mathematics)|Lemma]]

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

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[[ar:البديهيه]]
[[de:Korollar]]
[[ja:結果]]
[[zh:推论]]
[[it:Corollario]]
[[fr:Corollaire]]
[[pt:Corolário]]
[[ru:Следствие]]
[[sr:Короларије]]
[[sv:Följdsats]]

Revision as of 04:16, 17 January 2009

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

For example: The corollary to "No Child Gets Behind" is "No Child gets Ahead"