Number | Statement | Lines Used | Reason |
---|---|---|---|
1 | (A v B) -> D | ||
2 | D -> (C -> E) | ||
3 | A & C | ||
:. | E | ||
4 | C & A | 3 | Commutation |
5 | A | 3 | Simplification |
6 | C | 4 | Simplification |
7 | A v B | 5 | Addition |
8 | D | 1,7 | Modus Ponens |
9 | C -> E | 2,8 | Modus Ponens |
10 | E | 9,6 | Modus Ponens |
1. (AvB) ⊃ C 2. (CvD) ⊃ (EvF) 3. A●~E / F...(answered by Edwin McCravy)