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Math Help - help with proof

  1. #1
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    help with proof

    First, I am not sure how to type the correct characters into this message block. I tried character map, but I had no luck. IF anyone wants to tell me if there is a language pack or add-on for this, feel free. Now the proof I am working on is as follows:
    prove that A \subseteq B if and only if "the complement of B" \subseteq "the complement of A"


    Can someone point me in the right direction? Again any help inputting the symbols is appreciated as well.
    Last edited by totalbs70; January 29th 2010 at 10:26 AM.
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  2. #2
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    Quote Originally Posted by totalbs70 View Post
    First, I am not sure how to type the correct characters into this message block. I tried character map, but I had no luck. IF anyone wants to tell me if there is a language pack or add-on for this, feel free.
    Check out this pdf: http://www.mathhelpforum.com/math-he...-tutorial.html
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  3. #3
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    Quote Originally Posted by totalbs70 View Post
    prove that A \subseteq B if and only if "the complement of B" \subseteq "the complement of A"
    Notice that P \to Q\,\, \equiv \,\neg Q \to \neg P
    So x \in P \to x \in Q\,\, \equiv \,x \notin Q \to x \notin P
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