You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
20 lines
836 B
20 lines
836 B
|
|
\begin{logicproof}{2}
|
|
\forall x \; (P(x) \lor Q(x)) &\prem \\
|
|
\forall x \; (\lnot P(x)) &\prem \\
|
|
\begin{subproof}
|
|
& \freshVar{$x_0$}\\
|
|
P(x_0) \lor Q(x_0) &$\foralle 1$ $x_0$ \\
|
|
\lnot P(x_0) &$\foralle 2$ \\
|
|
\begin{subproof}
|
|
P(x_0) &\assum \\
|
|
\bot &$\nege 5,6$ \\
|
|
Q(x_0) &$\bote 7$
|
|
\end{subproof}
|
|
\begin{subproof}
|
|
Q(x_0) &\assum
|
|
\end{subproof}
|
|
Q(x_0) &$\ore 4,6-8,9$
|
|
\end{subproof}
|
|
\forall x \; Q(x) &$\foralli 3-10 $
|
|
\end{logicproof}
|