Question: Using the basic natural deduction rules for predicate logic, prove the validity of the following sequents: (i) x(P(x)Q(x))xP(x)xQ(x) (ii) xyR(x,y)yxR(x,y) Hint: Remove quantifiers from outside

Using the basic natural deduction rules for predicate logic, prove the validity of the following sequents: (i) x(P(x)Q(x))xP(x)xQ(x) (ii) xyR(x,y)yxR(x,y) Hint: Remove quantifiers from outside to in, and introduce them from inside to out

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