Difference between revisions of "Lemma"
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| − | In [[mathematics]], a '''lemma''' (plural '''lemmata''' or '''lemmas''') is a proved | + | In [[mathematics]], a '''lemma''' (plural '''lemmata''' or '''lemmas''') is a proved theorem which is used as a stepping stone to a larger result, rather than as a statement of interest by itself. |
| − | A lemma can be considered a minor | + | A lemma can be considered a minor theorem whose sole purpose is to help prove a more complex theorem. |
There is no formal distinction between a lemma and a theorem, only one of intention. | There is no formal distinction between a lemma and a theorem, only one of intention. | ||
Latest revision as of 10:24, 17 September 2016
In mathematics, a lemma (plural lemmata or lemmas) is a proved theorem which is used as a stepping stone to a larger result, rather than as a statement of interest by itself.
A lemma can be considered a minor theorem whose sole purpose is to help prove a more complex theorem.
There is no formal distinction between a lemma and a theorem, only one of intention.
The word derives from the Ancient Greek λῆμμα ("anything which is received, such as a gift, profit, or a bribe").
See also
External links
- Lemma (mathematics) @ Wikipedia
