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23 lines
681 B
23 lines
681 B
This sequent is provable.
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\begin{logicproof}{3}
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\begin{subproof}
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p \land q & \assum \\
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p & $\ande{1} 1$ \\
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q & $\ande{2} 1$ \\
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\begin{subproof}
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\neg p \lor \neg q & \assum \\
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\begin{subproof}
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\neg p & \assum \\
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\bot & $\nege 2,5$
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\end{subproof}
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\begin{subproof}
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\neg q & \assum \\
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\bot & $\nege 3,7$
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\end{subproof}
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\bot & $\ore 4,5-6,7-8$
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\end{subproof}
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\neg (\neg p \lor \neg q) & $\negi 4-9$
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\end{subproof}
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(p \land q) \imp \neg (\neg p \lor \neg q) & $\impi 1-10$
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\end{logicproof}
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