\begin{logicproof}{2}
    p \lor q & \prem \\
    p \implies r & \prem \\
    \lnot s \implies \lnot q & \prem \\
    \begin{subproof}
        p & \assum \\
        r & $\impe 4,2$ \\
        r \lor s & $\ori{1} 5$
    \end{subproof}
    \begin{subproof}
        q & \assum \\
        s & $\MT 3,7$ \\
        r \lor s & $\ori{2} 8$
    \end{subproof}
    r \lor s & $\ore 1,4-6,7-9$
\end{logicproof}
