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10 lines
376 B
10 lines
376 B
\begin{logicproof}{1}
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\forall x \; \big(P(x) \imp Q(x)\big) & prem.\\
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\forall x \; P(x) & prem.\\
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\begin{subproof}
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\llap{$x_0\quad$} P(x_0) \imp Q(x_0) & $\forall \mathrm{e}$ 1 \\
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P(x_0) & $\forall \mathrm{e}$ 2 \\
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Q(x_0) & $\imp \mathrm{e}$ 3,4
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\end{subproof}
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\forall x \; Q(x) & $\forall \mathrm{i}$ 3-5
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\end{logicproof}
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