Discrete Math: Determine whether the statement "for all x, P(x) is true if and only if Q(x) is true" and the statement "for all x, P(x) is true if and only if for all x, Q(x) is true" are logically equivalent. (Intuitively, I'd say they are logically equivalent, but I could always be wrong. Please help, anyone? I could also use help on formally proving an answer)

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