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