In mathematics, a lemma (plural lemmata or lemmas[1] from the Greek ?????, "lemma" meaning "anything which is received, such as a gift, profit, or a bribe") is a proven proposition which is used as a stepping stone to a larger result rather than as a statement in-and-of itself. A good stepping stone leads to many others, so some of the most powerful results in mathematics are known as lemmata, such as Bézout's lemma, Dehn's lemma, Fatou's lemma, Gauss's lemma, Nakayama's lemma, Poincaré's lemma, Riesz's lemma, and Zorn's lemma. There is no formal distinction between a lemma and a theorem.
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