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Math Help - proofs in set theory

  1. #1
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    proofs in set theory

    Let A,B,C,X,Y be subsets of E,and A' MEAN the compliment of A in E i.e A'=E-A,AND
    A^B = A \capB
    Then prove the following:

    a) (A^B^X)U(A^B^C^X^Y)U(A^X^A')= A^B^X

    b) (A^B^C)U(A'^B^C)UB' U C' = E

    Thanks
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  2. #2
    ddt
    ddt is offline
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    Hint: use the axiom of extensionality, i.e.,

    A = B iff \forall x: x \in A \Leftrightarrow x \in B for sets A and B. Then the set formulae with union, intersection and complement reduce to logical formulae with or, and and not.
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