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Prove that if a|b and b|c, then a|c.

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asked 2021-03-18
Prove that if a|b and b|c, then a|c.

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2021-03-19
Given that a|b and b|c.Therefore there exists integers m & n such that b=na & c=mb respectively.
Then c=mb=mna(since b=na).since mn is an integer, so this implies that a|c
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