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In a classical natural deduction system, when introducing an implication (  ⟹  I{\implies}\text{I}⟹I), we may discharge an active assumption. Consider a system where a student attempts to prove P  ⟹  QP \implies QP⟹Q as follows:

  1. Assume PPP (Assumption 1)
  2. Assume ¬Q\neg Q¬Q (Assumption 2)
  3. From step 1, we have PPP
  4. Discharge Assumption 1 to conclude P  ⟹  PP \implies PP⟹P
  5. Conclude P  ⟹  QP \implies QP⟹Q Which of the following is the primary logical error in this proof?