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22 lines
564 B
22 lines
564 B
This sequent is provable.
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\emph{Solution 1:}
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\begin{logicproof}{2}
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p \land q & prem. \\
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\lnot q \land r & prem. \\
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p & $\land$e1 1 \\
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r & $\land$e2 2 \\
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\lnot \lnot p & $\lnot \lnot$i 3 \\
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\lnot \lnot r & $\lnot \lnot$i 4 \\
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\lnot \lnot p \land \lnot \lnot r & $\land$i 5,6
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\end{logicproof}
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\emph{Solution 2:}
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\begin{logicproof}{2}
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p \land q & prem. \\
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\lnot q \land r & prem. \\
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q & $\land$e2 1 \\
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\lnot q & $\land$e1 2 \\
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\bot & $\lnot$e 3,4 \\
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\lnot \lnot p \land \lnot \lnot r & $\bot$e 5
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\end{logicproof}
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