Lemmas
Meaning
of Lemma
Source: Webster's dictionaryAnagrams
Examples
Although The Porisms is lost, we know three lemmas contained there, since Diophantus refers to them in the Arithmetica.
Lexemes derived from a word by derivational morphology are considered new lemmas.
His concept "Dyson's transform" led to one of the most important lemmas of Olivier Ramaré 's theorem that every even integer can be written as a sum of no more than six primes.
However, lemmas are sometimes embedded in the proof of a theorem, either with nested proofs, or with their proofs presented after the proof of the theorem.
In order for Ibn Qurra's formula to produce an amicable pair, two consecutive Thabit numbers must be prime; this severely restricts the possible values of n. To establish the theorem, Thâbit ibn Qurra proved nine lemmas divided into two groups.
It is also common for a theorem to be preceded by a number of propositions or lemmas which are then used in the proof.