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Math Help - Logical Equivilence

  1. #1
    Newbie
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    Sep 2007
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    Logical Equivilence

    Hello!

    This is my first post over here... I'm taking a college class and doing a proof...

    I'm stuck on a step -- what do I do next?

    (~p \/ q) /\ (~q \/ p) = (~p /\ ~q) \/ (q /\ p)

    great thanks for help!
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  2. #2
    Junior Member
    Joined
    Jun 2007
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    Quote Originally Posted by kcp133 View Post
    Hello!

    This is my first post over here... I'm taking a college class and doing a proof...

    I'm stuck on a step -- what do I do next?

    (~p \/ q) /\ (~q \/ p) = (~p /\ ~q) \/ (q /\ p)

    great thanks for help!
    (~p \/ q) /\ (~q \/ p)
    <=> [(~p \/ q) /\ ~q] \/ [(~p \/ q) /\ p]
    <=> [(~p /\ ~q) \/ (q /\ ~q)] \/ [(~p /\ p) \/ (q /\ p)]
    <=> (~p /\ ~q) \/ (q /\ p)
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