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Use a sequence of logical equivalences to verify that each of these equivalences is correct? If not then Explain why? -Vx(P (x) Q(x)) = 3x(P

Use a sequence of logical equivalences to verify that each of these equivalences is correct? If not then Explain why?

-Vx(P (x) Q(x)) = 3x(P (x) A-Q(x)) Use rules of inference to show that if Vx (P(x) (Q(x)AS(x))) and Vx (P(x)AR(x)) are true, then Vx (R(x)AS(x)) is true.

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