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Show that ∀xP (x) ∨ ∀xQ(x) ̸≡ ∀x [P (x) ∨ Q(x)] By defining a universe...

Show that

∀xP (x) ∨ ∀xQ(x) ̸≡ ∀x [P (x) ∨ Q(x)]
By defining a universe of discourse and predicts P, Q over it such that one side of the expression evaluates

to true and the other side evaluates to false.

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