1. O ⊃ (Q • N) 2. (N ∨ E)⊃ S / O ⊃ S | 3. O assumption for conditional proof | 4. Q • N 1,3, modus ponens | 5. N • Q 4, commutation | 6. N 5, simplification | 7. N v E 6, addition | 8. S 2,8 modus ponens 9. O ⊃ S lines 3-8 conditional proof Edwin