Number | Statement | Lines Used | Reason | |
---|---|---|---|---|
1. | (F v ~G) -> ~L | |||
:. | L -> G | |||
| | 2. | L | Assumption for Conditional Proof | |
| | 3. | ~~L | 2 | Double Negation |
| | 4. | ~(F v ~G) | 1,3 | Modus Tollens |
| | 5. | ~F & ~~G | 4 | De Morgan's Law |
| | 6. | ~F & G | 5 | Double Negation |
| | 7. | G & ~F | 6 | Commutation |
| | 8. | G | 7 | Simplification |
9. | L -> G | 2-8 | Conditional Proof |