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  1. \begin{logicproof}{0}
  2. \neg p \imp (q \imp r) & \prem \\
  3. \neg p & \prem \\
  4. \lnot r & \prem\\
  5. q \imp r & $\impe 1,2$\\
  6. \lnot q & $\MT 4,3$
  7. \end{logicproof}