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DeMorgan's Laws

  1. Dec 7, 2007 #1
    1. The problem statement, all variables and given/known data
    Do deMorgan's laws hold for infinite unions and intersections i.e.

    is [tex]X-\cap_{i=1}^{\infty}U_i = \cup_{i=1}^{\infty}(X-U_i)[/tex]

    ?


    2. Relevant equations



    3. The attempt at a solution
     
    Last edited: Dec 7, 2007
  2. jcsd
  3. Dec 7, 2007 #2

    Office_Shredder

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    I'm fairly certain the proof is exactly the same as it would be for a finite number
     
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