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.
15 lines
691 B
15 lines
691 B
\setlength\subproofhorizspace{1.7em}
|
|
\begin{logicproof}{1}
|
|
\forall x \;( P(x) \land Q(x) ) & prem.\\
|
|
\begin{subproof}
|
|
\llap{$x_0\enspace \;$} P(x_0) \land Q(x_0) & $\forall \mathrm{e}$ 1\\
|
|
P(x_0) & $\land \mathrm{e}$ 2
|
|
\end{subproof}
|
|
\forall x \; P(x) & $\forall \mathrm{i} 2-3$\\
|
|
\begin{subproof}
|
|
\llap{$x_1\enspace \;$} P(x_1) \land Q(x_1) & $\forall \mathrm{e}$ 1\\
|
|
Q(x_1) & $\land \mathrm{e}$ 5
|
|
\end{subproof}
|
|
\forall x \; Q(x) & $\forall \mathrm{i} 5-6$\\
|
|
\forall x \; P(x) \land \forall x \; Q(x) & $\land \mathrm{i}$ 4,7
|
|
\end{logicproof}
|