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hanoi sol2 ala general2131 1. n :
2. 0<n 3. p,q:Peg.
3. pq 3.
3. (a:.
3. (z:{a...}, s:({a...z}{1...n-1}Peg).
3. (s is a Hanoi(n-1 disk) seq on a..z & s(a) = (i.p) & s(z) = (i.q))
4. p : Peg
5. q : Peg
6. pq 7. a :
8. p = otherPeg(p; q)
9. otherPeg(p; q) = q 10. m : {a...}
11. s1 : {a...m}{1...n-1}Peg
12. s1 is a Hanoi(n-1 disk) seq on a..m 13. s1(a) = (i.p)
14. s1(m) = (i.otherPeg(p; q))
15. z : {m+1...}
16. s2 : {m+1...z}{1...n-1}Peg
17. s2 is a Hanoi(n-1 disk) seq on m+1..z 18. s2(m+1) = (i.otherPeg(p; q))
19. s2(z) = (i.q)
(i.p)(n) (i.q)(n) Peg
By:
Reduce Concl
Generated subgoals:
None
About:
IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html