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11 lines
598 B
11 lines
598 B
\setlength\subproofhorizspace{1.1em}
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\begin{logicproof}{1}
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\forall x \forall y \; ( (x=y) \imp P(x,y) ) & prem.\\
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\begin{subproof}
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\llap{$t\enspace \;$} \forall y \; ((t=y) \imp P(t,y)) & $\forall \mathrm{e}$ 1\\
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(t=t) \imp P(t,t) & $\forall \mathrm{e}$ 2\\
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t=t & $= \mathrm{i}$\\
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P(t,t) & $\imp \mathrm{e}$ 3,4
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\end{subproof}
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\forall x \; P(x,x) & $\forall \mathrm{i}$ 2-5
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\end{logicproof}
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