a) Show that VxP(x) 1\ 3xQ(x) is logically equivalent to

Chapter 1, Problem 1.4.49

(choose chapter or problem)

a) Show that VxP(x) 1\ 3xQ(x) is logically equivalent to Vx3y (P(x) 1\ Q(Y , where all quantifiers have the same nonempty domain. b) Show that VxP(x) v 3xQ(x) is equivalent to Vx3y(P(x) v Q(Y , where all quantifiers have the same nonempty domain

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