Logichard
0:00.0

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

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