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hanoi general exists221121 1. n : 2. 0<n 3. f,g:({1...n-1}Peg), 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) = f & s(z) = g 4. f : {1...n}Peg
5. g : {1...n}Peg
6. a : 7. f(n) = g(n)
8. m : {a...}
9. s1 : {a...m}{1...n-1}Peg
10. s1 is a Hanoi(n-1 disk) seq on a..m 11. s1(a) = f 12. s1(m) = (i.otherPeg(f(n); g(n)))
13. z : {m+1...}
14. s2 : {m+1...z}{1...n-1}Peg
15. s2 is a Hanoi(n-1 disk) seq on m+1..z 16. s2(m+1) = (i.otherPeg(f(n); g(n)))
17. s2(z) = g 18. {1...n-1}
otherPeg(f(n); g(n)) g(n)