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9 lines
575 B
9 lines
575 B
\setlength\subproofhorizspace{1em}
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\begin{logicproof}{0}
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\forall x \; P(x) \land \forall x \; (P(y) \imp Q(x)) & prem.\\
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\forall x \; P(x) & $\land \mathrm{e}_1$ 1\\
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\forall x \; (P(y) \imp Q(x)) & $\land \mathrm{e}_2$ 1\\
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P(y) & $\forall \mathrm{e}$ 2\\
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P(y) \imp Q(z) & $\forall \mathrm{e}$ 3\\
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Q(z) & $\imp \mathrm{e}$ 5,4
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\end{logicproof}
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