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.
17 lines
751 B
17 lines
751 B
\setlength\subproofhorizspace{1.3em}
|
|
\begin{logicproof}{2}
|
|
P(y) \imp \forall x Q(x) & \prem\\
|
|
\exists x \lnot Q(x) & \prem\\
|
|
\begin{subproof}
|
|
P(y) & $\assum$\\
|
|
\forall x Q(x) & $\impe1,3$\\
|
|
\begin{subproof}
|
|
\lnot Q(x_0) &$\assum$ $\freshVar{$x_0$}$\\
|
|
Q(x_0) &$\foralle4$\\
|
|
\bot &$\nege5,6$
|
|
\end{subproof}
|
|
\bot &$\existe2,5-7$
|
|
\end{subproof}
|
|
\lnot P(y) &$\negi3-8$\\
|
|
\exists x \lnot P(x) &$\existi9$
|
|
\end{logicproof}
|