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Question about ordered field axioms

  1. Sep 13, 2009 #1
    If you have [itex]a > b[/itex] and [itex]c \geq d[/itex], do you have [itex]a + c > b + d[/itex]?
     
  2. jcsd
  3. Sep 13, 2009 #2
    Yes you do, but it's a theorem about ordered fields, not an axiom (usually). You may try to prove it from the axioms.
     
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