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In [[Mathematics (nonfiction)|mathematics]], a '''lemma''' (plural '''lemmata''' or '''lemmas''') is a proved proposition which is used as a stepping stone to a larger result, rather than as a statement of interest by itself.
In [[Mathematics (nonfiction)|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 result whose sole purpose is to help prove a theorem.
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.

Revision as of 10:23, 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").

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