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20 lines
561 B
20 lines
561 B
\begin{logicproof}{2}
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p \implies (q \lor r) & \prem \\
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\lnot q \land \lnot r & \prem \\
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\begin{subproof}
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p & \assum \\
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q \lor r & $\impe 1,3$ \\
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\begin{subproof}
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q & \assum \\
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\lnot q & $\ande{1} 2$ \\
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\false & $\nege 5,6$
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\end{subproof}
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\begin{subproof}
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r & \assum \\
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\lnot r & $\ande{2} 2$ \\
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\false & $\nege 8,9$
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\end{subproof}
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\false & $\ore 4,5-7,8-10$
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\end{subproof}
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\lnot p & $\negi 3-11$
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\end{logicproof}
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