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13 lines
412 B
13 lines
412 B
\begin{logicproof}{2}
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p \implies q & \prem \\
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p \land (r \lor q) & \prem \\
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\begin{subproof}
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q \implies p & \assum \\
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r \lor q & $\ande{2} 2$ \\
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p & $\ande{1} 2$ \\
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q & $\impe 1,5$ \\
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(s \land t) \lor q & $\ori{2} 6$ \\
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((s \land t) \lor q) \land (r \lor q) & $\andi 7,4$
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\end{subproof}
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(q \implies p) \implies ((s \land t) \lor q) \land (r \lor q) & $\impi 3-7$
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\end{logicproof}
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