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\begin{logicproof}{2}
p \implies q & \prem \\
\begin{subproof}
r \implies p & \assum \\
\begin{subproof}
r & \assum \\
p & $\impe 2,3$ \\
q & $\impe 1,4$
\end{subproof}
r \implies q & $\impi 3-5$
\end{subproof}
(r \implies p) \implies (r \implies q) & $\impi 2-6$
\end{logicproof}