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What is a Lemma? - Mathematics

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प्रश्न

What is a lemma?

संख्यात्मक

उत्तर

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=bq+r `, `0 ≤ r < b`

If `b|a` then  `r=0`.

Otherwise, satisfies the stronger inequality `0 < r< b.`.

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अध्याय 1: Real Numbers - Exercise 1.7 [पृष्ठ ५८]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 1 Real Numbers
Exercise 1.7 | Q 15 | पृष्ठ ५८

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