The sentence ∀x∃y∃z(x=z+z) looks a bit peculiar because of the quantification of the vari- able y, which does not appear within the scope of the quanti- fier. (The same peculiarity appears in part (c) of this problem.) Nonetheless, the sentence is perfectly legal. If we interpret it in natural numbers, is it true? How would you write an equivalent formula without using the quantifier y?

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