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14 lines
512 B
14 lines
512 B
\setlength\subproofhorizspace{1.3em}
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\begin{logicproof}{2}
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\exists x \; \lnot P(x) & \prem\\
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\begin{subproof}
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\forall x \; P(x) & $\assum$\\
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P(x_0) & $\foralle2$\\
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\begin{subproof}
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\lnot P(x_0) & $\assum$ $\freshVar{$x_0$}$\\
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\bot & $\nege3,4$
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\end{subproof}
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\bot & $\existe1,3-5$
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\end{subproof}
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\lnot \forall x \; P(x) & $\negi2-5$
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\end{logicproof}
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