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Prove the following proposition:

Suppose $a,b$ are fixed integers. Then $\{ ax+by\mid x,y\in\mathbb Z\} = \{ n(a,b) \mid n\in\mathbb Z\}$.

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  • $\begingroup$ @robjohn It's an exact duplicate of the post I linked, even the same notation. I suggest merging. $\endgroup$ – user147263 Apr 4 '15 at 18:20