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Quantified Formula (relative to Valuation function)
∀x∃y: α is different from ∃y∀x: α
In the first case ∀x∃y:α , we go through all value assignments V'(x), and for each value assignment V'(x) of x, we have to find a suitable value V'(y) for y.
In the second case ∃y∀x:α, we have to find one value V'(y) for y, such that all value assignments V'(x) make α true.
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