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13 lines
386 B
13 lines
386 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} =& \; \{ 0,1 \}\\
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S^\mathcal{M} =& \; \{ (0,1),(1,1) \}\\
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T^\mathcal{M} =& \; \{ (0,1),(1,1) \}
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\end{align*}
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\end{minipage}\\
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$\mathcal{M} \models \exists a \forall b \; (S(b,a) \land T(b,a))$\\
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$\mathcal{M} \nmodels \forall b \forall a \; (S(b,a) \land T(b,a))$
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