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15 lines
648 B
15 lines
648 B
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\setlength\subproofhorizspace{1.3em}
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\begin{logicproof}{3}
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\exists x \;(Q(y) \imp P(x)) & prem.\\
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\begin{subproof}
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\llap{$x_0\enspace \;$} Q(y) \imp P(x_0) & ass.\\
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\begin{subproof}
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Q(y) & ass.\\
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P(x_0) & $\imp \mathrm{e}$ 3,2 \\
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\exists x \; P(x) & $\exists \mathrm{i}$ 4
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\end{subproof}
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Q(y) \imp \exists x \; P(x) & $\imp \mathrm{i}$ 3-5
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\end{subproof}
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Q(y) \imp \exists x \; P(x) & $\exists \mathrm{e}$ 1, 2-6
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\end{logicproof}
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