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