Let be an ordered field and . If , show that . If , show that .

So let . If and any two of is positive, then so is the third.

Take and the Corollary is shown?

Is this correct? Generally, with corollaries, you invoke the theorem?

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- July 3rd 2008, 07:20 PMparticlejohnreciprocal in ordered field
Let be an ordered field and . If , show that . If , show that .

So let . If and any two of is positive, then so is the third.

Take and the Corollary is shown?

Is this correct? Generally, with corollaries, you invoke the theorem? - July 4th 2008, 12:02 AMIsomorphism