SOLUTION: 1. N ⊃ (F • A) 2. B ⊃ (R • F) / (N ∨ B) ⊃ (A ∨ R)

Algebra ->  Proofs -> SOLUTION: 1. N ⊃ (F • A) 2. B ⊃ (R • F) / (N ∨ B) ⊃ (A ∨ R)      Log On


   

Question 1104540: 1. N ⊃ (F • A)
2. B ⊃ (R • F) / (N ∨ B) ⊃ (A ∨ R)
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
1.	N ⊃ (F • A)	
2.	B ⊃ (R • F)	/ (N ∨ B) ⊃ (A ∨ R)

                  | 3.  N ∨ B                      ACP
                  | 4.  (F • A) ∨ (R • F)   1,2,3, constructive dilemma CD
                  | 5.  (F • A) ∨ (F • R)       4, commutation
                  | 6.  F • (A ∨ R)             5, distribution
                  | 7.  (A ∨ R) • F             6, commutation
                  | 8.  A ∨ R                   7, simplification
9.    (N ∨ B) ⊃ (A ∨ R)                    3-8    CP      

Edwin