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21 lines
511 B
21 lines
511 B
This sequent is provable.
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\begin{logicproof}{2}
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p \imp q \lor r & \prem \\
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\neg q & \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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\bot & $\nege 2,5$ \\
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r & $\bote 6$
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\end{subproof}
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\begin{subproof}
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r & \assum \\
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r & $\copying 8$
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\end{subproof}
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r & $\ore 4, 5-7, 8-9$
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\end{subproof}
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p \imp r & $\impi 3-10$
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\end{logicproof}
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