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In mathematics and other fields, [a] a lemma (pl.: lemmas or lemmata) is a generally minor, proven proposition which is used to prove a larger statement. For that reason, it is also known as a "helping theorem " or an "auxiliary theorem".
In morphology and lexicography, a lemma (pl.: lemmas or lemmata) is the canonical form, [1] dictionary form, or citation form of a set of word forms. [2] In English, for example, break , breaks , broke , broken and breaking are forms of the same lexeme , with break as the lemma by which they are indexed.
Burnside's lemma also known as the Cauchy–Frobenius lemma; Frattini's lemma (finite groups) Goursat's lemma; Mautner's lemma (representation theory) Ping-pong lemma (geometric group theory) Schreier's subgroup lemma; Schur's lemma (representation theory) Zassenhaus lemma
Lemma (morphology), the canonical, dictionary or citation form of a word Lemma (psycholinguistics) , a mental abstraction of a word about to be uttered Science and mathematics
In mathematics, a lemma is an auxiliary theorem which is typically used as a stepping stone to prove a bigger theorem. See lemma for a more detailed explanation. Subcategories
A critical apparatus (Latin: apparatus criticus) in textual criticism of primary source material, is an organized system of notations to represent, in a single text, the complex history of that text in a concise form useful to diligent readers and scholars. The apparatus typically includes footnotes, standardized abbreviations for the source ...
A formal language is any set of symbols and combinations of symbols that people use to communicate information. [1] Some terminology relevant to the study of words should first be explained. First and foremost, a word is basically a sequence of symbols, or letters, in a finite set. [1] One of these sets is known by the general public as the ...
In mathematics, the Yoneda lemma is a fundamental result in category theory. [1] It is an abstract result on functors of the type morphisms into a fixed object . It is a vast generalisation of Cayley's theorem from group theory (viewing a group as a miniature category with just one object and only isomorphisms).