Corollary: Difference between revisions
No edit summary |
Reverting possible vandalism by Special:Contributions/158.143.179.252 to version by 71.186.7.58. If this is a mistake, report it. Thanks, ClueBot. (64805) (Bot) |
||
| Line 1: | Line 1: | ||
{{wiktionary}} |
{{wiktionary}} |
||
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 intrinsically 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 if its mathematical consequences are as significant as those of ''B''. Sometimes a corollary has a proof that 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 intrinsically 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 if its mathematical consequences are as significant as those of ''B''. 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 05:23, 9 November 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 intrinsically 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 if its mathematical consequences are as significant as those of B. Sometimes a corollary has a proof that explains the derivation; sometimes the derivation is considered to be self-evident.
 | This mathematics-related article is a stub. You can help Wikipedia by expanding it. |