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Mar 6th, 2014
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  1. 1 assume (p => q) & (-p => r) & (s => -r) & (s =>
  2. -q).
  3. 2 assume s.
  4. 3 (p => q) & (-p => r) & (s => -r). &E1 1
  5. 4 s => -q. &E2 1
  6. 5 (p => q) & (-p => r). &E1 3
  7. 6 s => -r. &E2 3
  8. 7 p => q. &E1 5
  9. 8 -p => r. &E2 5
  10. 9 assume p.
  11. 10 -q. =>E 4,2
  12. 11 q. =>E 7,9
  13. 12 F. =>E 10,11
  14. 13 therefore -p. =>I 9,12
  15. 14 r. =>E 8,13
  16. 15 -r. =>E 6,2
  17. 16 F. =>E 15,14
  18. 17 t. Efq 16
  19. 18 therefore s => t. =>I 2,17
  20. 19 therefore (p => q) & (-p => r) & (s => -r) &
  21. (s => -q) => s => t. =>I 1,18
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