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.
12 lines
581 B
12 lines
581 B
\setlength\subproofhorizspace{1.6em}
|
|
\begin{logicproof}{1}
|
|
\exists x \; \lnot P(x) & prem.\\
|
|
\forall x \; \lnot Q(x) & prem.\\
|
|
\begin{subproof}
|
|
\llap{$x_0\enspace \;$} \lnot P(x_0) & ass.\\
|
|
\lnot Q(x_0) & $\forall \mathrm{e}$ 2\\
|
|
\lnot P(x_0) \land \lnot Q(x_0) & $\land \mathrm{i}$ 3,4\\
|
|
\exists x \; (\lnot P(x) \land \lnot Q(x)) & $\exists \mathrm{i}$ 5
|
|
\end{subproof}
|
|
\exists x \; (\lnot P(x) \land \lnot Q(x)) & $\exists \mathrm{e}$ 3-6
|
|
\end{logicproof}
|