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Translation: \\
$p:$ \quad I press the button. \\
$q:$ \quad The window is open.
\begin{tabbing}
If I press the button, the window opens. \quad \= $p \imp q$ \\
I pressed the button. \> $p$ \\
The window is open. \> $q$
\end{tabbing}
\emph{Sequent:} \quad $p \imp q, p \vdash q$ \\
This sequent is provable.
\begin{logicproof}{1}
p \imp q & \prem \\
p & \prem \\
q & $\impe 1,2$
\end{logicproof}