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In mathematics, informal logic and argument mapping, a lemma (pl.: lemmas or lemmata) is a generally minor, proven proposition which is used as a stepping stone to a larger result. For that reason, it is also known as a "helping theorem" or an "auxiliary theorem".[1][2] In many cases, a lemma derives its importance from the theorem it aims to prove; however, a lemma can also turn out to be more important than originally thought.[3]
It is also used generally in scholarship and philosophy.[4][5]
- ^ Higham, Nicholas J. (1998). Handbook of Writing for the Mathematical Sciences. Society for Industrial and Applied Mathematics. pp. 16. ISBN 0-89871-420-6.
- ^ "Definition of lemma | Dictionary.com". www.dictionary.com. Retrieved 2019-11-28.
- ^ Richeson, Dave (2008-09-23). "What is the difference between a theorem, a lemma, and a corollary?". David Richeson: Division by Zero. Retrieved 2019-11-28.
- ^ [1] "Lemma." Merriam-Webster.com Dictionary, Merriam-Webster.
- ^ Loewen, Nathan R. B. Beyond the Problem of Evil. Lexington Books. March 12, 2018. ISBN 9781498555739 p. 47