Hi I've looked up the definition of an ordered field and I've found two slightly different ones. One is that an ordered field is a field with a total order, but I've found another which requires it to also satisfy:(adsbygoogle = window.adsbygoogle || []).push({});

(1) If a <= b then a + c <= b + c

(2) If 0 <= a and 0 <= b, then 0 <= ab.

Which one is the correct one? And could someone give me an example of a field which has a total ordering but doesn't satisfy the extra conditions? Thanks I'd appreciate it :)

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# Ordered Field Definition

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