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21 lines
533 B
21 lines
533 B
\begin{enumerate}
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\item
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\begin{quote}
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This sequent is provable.
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\begin{logicproof}{1}
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(p \land q) \land \lnot r & \prem \\
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p \land q & $\ande{1} 1 $\\
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q & $\ande{2} 2$ \\
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q \lor r & $\ori{1} 3$
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\end{logicproof}
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\end{quote}
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\item
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\begin{quote}
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This sequent is not provable.
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$\mathcal{M} : p = T, q = T, r = F$ \\
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$\mathcal{M} \models (p \lor q) \land \lnot r$ \\
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$\mathcal{M} \nmodels q \land r$
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\end{quote}
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\end{enumerate}
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