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Math Help - Field Theory Proof -- Please Help

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    Field Theory Proof -- Please Help

    Let X,Y,Z be sets. Prove that X union (Y intersecting Z) = (X union Y) intersecting (X union Z).

    The proof would start off by showing that each side is a subset of the other, I believe... But there would be several cases? I'm not really sure where to go with this.. Any help would be wonderful.
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    Quote Originally Posted by amm345 View Post
    Let X,Y,Z be sets. Prove that X union (Y intersecting Z) = (X union Y) intersecting (X union Z).
    From formal logic do you understand this
    p \vee \left( {q \wedge r} \right) \equiv \left( {p \vee q} \right) \wedge \left( {p \vee r} \right)?

    If not, then you need to do some background work in order to understand this question.
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  3. #3
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    Yes, I understand this from the class, but each time I tried to do the proof I would end up with a contradiction.
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