1. N > (F & A)
2. B > (R & F) / (N v B) > (A v R)
3. N v B Conditional Proof Assumption
4. (F & A) v (R & F) 1,2,3 Constructive Dilemma
5. (F & A) v (F & R) 4, Commutativity
6. F & (A v R) 5, Distribution
7. A v R 6, (Conjunctive) Simplification
8. (N v B) > (A v R) 3-7 Conditional Proof
Edwin