We define .
I need to prove that .
so, I need to prove and .
One direction is easy:
( ) Let , so , for some , and since there exist such that , we get:
I need help here...
Thanks in advanced!
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The ⊆ direction is easier: it does not even need Bézout's identity (a, b) = sa + tb.
Sorry, I couldn't think of anything.
Can you give me another hint?
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