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If $a\mid b$ then $\phi(a)\mid \phi(b)$ for $a,b\in\mathbb{N}$ [duplicate]
Hey I would like to show that
$a\mid b\Rightarrow \varphi(a)\mid\varphi(b)\qquad a,b\in\mathbb{N}$
where $\varphi(n)$ is the the totient function.
My try:
Let $a,b\in\mathbb{N}$ and $a\mid b$. ...
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