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20 lines
528 B
20 lines
528 B
This sequent is provable.
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\begin{logicproof}{2}
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\lnot q \lor \lnot p & \prem \\
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\begin{subproof}
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q \land p & \assum \\
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\begin{subproof}
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\lnot q & \assum \\
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q & $\ande{1} 2$ \\
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\bot & $\nege 3,4$
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\end{subproof}
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\begin{subproof}
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\lnot p & \assum \\
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p & $\ande{2} 2$ \\
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\bot & $\nege 6,7$
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\end{subproof}
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\bot & $\ore 1, 3-5, 6-8$
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\end{subproof}
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\lnot (q \land p) & $\negi 2-9$
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\end{logicproof}
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