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Prove that the following wff are valid arguments (a) (Vx) P(x) ^ (3x) Q(x) (3x) [P(x) Q(x)] (b) (Vx)[A(x) B(x)] [(30A(x) (3x)B(x)] (c) (3x)[P(x) ^

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Prove that the following wff are valid arguments (a) (Vx) P(x) ^ (3x) Q(x) (3x) [P(x) Q(x)] (b) (Vx)[A(x) B(x)] [(30A(x) (3x)B(x)] (c) (3x)[P(x) ^ Q(x)JA (vy)(Q(y) R(y)] (30[P(x) R(x)] (d) (Vx) (Vy)[(P(x) ^ S(x,y)) Q(y)JA (3x) B(x) ^ (Vx) (B(x) P(x)) ^ (Vx)(3y) S(x, y) (3x) Q(x)

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