Question: Let P(x) and Q(x) be propositional functions. Show that x (P(x) Q(x)) and x P(x) x Q(x) always have the same truth value.

Let P(x) and Q(x) be propositional functions. Show that ∃x (P(x) → Q(x)) and ∀x P(x) → ∃x Q(x) always have the same truth value.

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