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15 lines
415 B
15 lines
415 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} =& \; \{ a\} \\
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R^\mathcal{M} =& \; \{ \}
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\end{align*}
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\end{minipage}\\
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$\mathcal{M} \models \exists x (Q(x) \imp R(x))$\\
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$\mathcal{M} \models \exists x (P(x) \land Q(x))$\\
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$\mathcal{M} \nmodels \exists x (P(x) \land R(x))$
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