(adsbygoogle = window.adsbygoogle || []).push({}); I have a set of numbers, how do I go about proving they form a field

Heres what I know

It has to be commutative under addition, which should give symmetry down the leading diagonal, which it does. What else must I show??

Thanks in advance

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# I have a set of numbers, how do I go about proving they form a field

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