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16 lines
412 B
16 lines
412 B
This sequent is provable.
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\begin{logicproof}{1}
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\neg(p \land q) \imp r & \prem\\
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p \imp \neg q & \prem \\
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\begin{subproof}
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\neg r & \assum \\
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\neg\neg(p \land q) & $\MT 1$ \\
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p \land q & $\negnege 4$ \\
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p & $\ande{1} 5$ \\
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q & $\ande{2} 6$ \\
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\neg q & $\impe 2, 6$ \\
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\bot & $\bote 7, 8$
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\end{subproof}
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r & $\PBC 3-9$
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\end{logicproof}
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