1. O ⊃ (Q • N) 2. (N v E) ⊃ S .../ O ⊃ S 3. O ⊃ (N • Q) 1, Commutation 4. O ⊃ N 3, Simplification 5. O ⊃ (N v E) 4, Addition 6. O ⊃ S 5,2, Hypothetical syllogism Edwin