What is a lemma?


What is a lemma?


A proven statement used as a stepping-stone toward the proof of another statement is called lemma.

For example:

Euclid’s Division Lemma: Let and b be any two positive integers.

Then, there exist unique integers q and r such that 

$a=b q+r, 0 \leq r

If $b \mid a$ then $r=0$.

Otherwise, $r$ satisfies the stronger inequality $0

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