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Math Help - Very simple question about quantifiers.

  1. #1
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    Very simple question about quantifiers.

    Is XY( P(x) Q(y) ) the same thing as X P(x) Y Q(y) ????
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  2. #2
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    Quote Originally Posted by kwaky View Post
    Is XY( P(x) Q(y) ) the same thing as X P(x) Y Q(y) ????
    If x is the only variable for P(x) and y is the only variable for Q(y), then Yes.

    If y occurs free in P(x) or x occurs free in Q(y), then No.


    "The variable x is free in the formula B if at least one of its occurrences in B is not bound by any quantifier within B".
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