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15 lines
373 B
15 lines
373 B
This sequent is provable.
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\begin{logicproof}{2}
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p \imp (q \land r) & \prem \\
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q \imp s & \prem \\
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\begin{subproof}
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p & \assum \\
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q \land r & $\impe 1,3$ \\
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q & $\ande{1} 4$ \\
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s & $\impe 2,5$ \\
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r & $\ande{2} 4$ \\
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s \land r & $\andi 6,7$
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\end{subproof}
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p \imp (s \land r) & $\impi 3-8$
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\end{logicproof}
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