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Proving please help me ? partial orders :hasse diagrams

  1. Jan 17, 2012 #1
    partial orders :hasse diagrams
    theorem : if [A,R] is poset and A is finite , then A has both a maximal and a minimal element

    A={a1,a2,a3.......an}

    but i know prove it is maximal , but i not know how i prove it is minimal ?




    please answer ?
     
  2. jcsd
  3. Jan 17, 2012 #2

    micromass

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    How did you prove that there is a maximal element?
     
  4. Jan 18, 2012 #3
    https://fbcdn-sphotos-a.akamaihd.net/hphotos-ak-ash4/s320x320/400327_199078300188664_100002594878940_372880_1793624919_n.jpg [Broken]
     
    Last edited by a moderator: May 5, 2017
  5. Jan 18, 2012 #4
    see it i prove
     
  6. Jan 18, 2012 #5
    see it is proved
     
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