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0. Which one of the following predicate formulae is NOT logically valid? Note that W is a predicate formula without any free occurrence of x.
∀x(p(x) ∨ W) ≡ ∀x p(x) ∨ W
∀x(p(x) → W) ≡ ∀x p(x) → W
∃x(p(x) ∧ W) ≡ ∃x p(x) ∧ W
∃x(p(x) → W) ≡ ∀x p(x) → W
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