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20 lines
559 B
20 lines
559 B
This sequent is provable.
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\begin{logicproof}{3}
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\begin{subproof}
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(p \imp q) \imp p & \assum \\
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\begin{subproof}
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\lnot p & \assum \\
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\lnot (p \imp q) & $\MT 1,2$ \\
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\begin{subproof}
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p & \assum \\
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\bot & $\nege 2,4$ \\
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q & $\bote 5$
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\end{subproof}
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p \imp q & $\impi 4-6$ \\
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\bot & $\nege 3,7$
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\end{subproof}
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p & $\PBC 2-8$
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\end{subproof}
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((p \imp q) \imp p) \imp p & $\impi 1-9$
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\end{logicproof}
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