Corollary: Difference between revisions
Appearance
Content deleted Content added
Interwikis. |
Copyedit |
||
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 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
Look up corollary in Wiktionary, the free dictionary.
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.