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In each part below, give a formal proof that the sentence given is valid or else...

In each part below, give a formal proof that the sentence given is valid or else provided an interpretation in which the sentence is false.

(a) [∀xA(x) ∨ ∀xB(x)] → ∀x[A(x) ∨ B(x)].

(b) [∃xA(x) ∧ ∃xB(x)] → ∃x[A(x) ∧ B(x)].

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