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13 lines
367 B
13 lines
367 B
This sequent is not provable.
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Model $\mathcal{M}$:\\
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\begin{minipage}{0.2\textwidth}
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\begin{align*}
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\mathcal{A} =& \; \{ a,b \}\\
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P^\mathcal{M} =& \; \{ a \}\\
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Q^\mathcal{M} =& \; \{ b \}\\
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\end{align*}
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\end{minipage}\\
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$\mathcal{M} \models \exists x \; \lnot P(x), \exists x \; \lnot Q(x)$\\
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$\mathcal{M} \nmodels \exists x \; (\lnot P(x) \land \lnot Q(x))$
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