Proofs II, #1

 

derive C

1. A (B  C) premise  
2. ~B v A premise  
3. ~(~B v C) premise  
4. ~~B & ~C DEM 3
5. ~~B simp 4
6. A d.s. 2, 5
7. (B  C) m.p. 1,6
8. (B C) & (C B) BE 7
9. (B C) simp 8
10. B DN 5
11. C mp 9,10