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hanoi general exists222 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. z:{a...}, m:{a...z-1}, s1:({a...m}{1...n}Peg),
8. s2:({m+1...z}{1...n}Peg).
8. (s1 @(m) s2) is a Hanoi(n disk) seq on a..z & s1(a) = f & s2(z) = g z:{a...}, s:({a...z}{1...n}Peg).
s is a Hanoi(n disk) seq on a..z & s(a) = f & s(z) = g
8. z : {a...}
9. m : {a...z-1}
10. s1 : {a...m}{1...n}Peg
11. s2 : {m+1...z}{1...n}Peg
12. (s1 @(m) s2) is a Hanoi(n disk) seq on a..z 13. s1(a) = f 14. s2(z) = g z:{a...}, s:({a...z}{1...n}Peg).
s is a Hanoi(n disk) seq on a..z & s(a) = f & s(z) = g
3 steps
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IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html