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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Originally Posted by particlejohn 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? Well thats correct (since it should be easy to establish 1 > 0 by your axioms)
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