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  1. \begin{logicproof}{2}
  2. p \implies q & \prem \\
  3. \begin{subproof}
  4. r \implies p & \assum \\
  5. \begin{subproof}
  6. r & \assum \\
  7. p & $\impe 2,3$ \\
  8. q & $\impe 1,4$
  9. \end{subproof}
  10. r \implies q & $\impi 3-5$
  11. \end{subproof}
  12. (r \implies p) \implies (r \implies q) & $\impi 2-6$
  13. \end{logicproof}