In A Euclidean Domain Associates Have The Same Measure

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Problem 80 (In A Euclidean Domain Associates Have The Same Measure)

Suppose $D$ is a Euclidean domain with measure $d$. Suppose that $a$ and $b$ are nonzero associates, in other words assume that $a=ub$ for some unit $u$. Prove that $d(a)=d(b)$.

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