\begin{logicproof}{2} \lnot\psi & \prem \\ \varphi \imp \psi & \prem \\ \begin{subproof} \varphi & \assum \\ \psi & $\impe 1,2$ \\ \bot & $\nege 1,4$ \end{subproof} \lnot\varphi & $\negi 3-5$ \end{logicproof}