In Dummit and Foote on pages 265-266, a proof is given of the Chinese Remainder Theorem. They claim to proceed by induction, but I cannot see where the induction hypothesis is used.(adsbygoogle = window.adsbygoogle || []).push({});

It seems that they could proved the statement for k=2, and then reduced the statement for k>2 to k=2. Is this induction?

Thank you for your help.

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# Proof in dummit and foote

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