(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that either [tex][a]_{n}[/tex][tex]\cap[/tex][tex]_{n}[/tex]=empty set or [tex][a]_{n}[/tex]=[tex]_{n}[/tex].

2. Relevant equations

3. The attempt at a solution

I want to assume there is an element x in [tex][a]_{n}[/tex][tex]\cap[/tex][tex]_{n}[/tex] and show this implies [tex][a]_{n}[/tex]=[tex]_{n}[/tex].

This tells me x is in [tex][a]_{n}[/tex] and [tex]_{n}[/tex].

That's where I get stuck.

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# Homework Help: Integer mod proof

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