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?
and with
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