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hanoi general exists211 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...}
9. s:({a...z}{1...n-1}Peg).
9. s is a Hanoi(n-1 disk) seq on a..z & s(a) = f & s(z) = g s:({a...z}{1...n}Peg).
s is a Hanoi(n disk) seq on a..z & s(a) = f & s(z) = g
By:
BackThru:
Thm*n:, f,g:({1...n}Peg).
Thm* f(n) = g(n)
Thm* Thm* (a:, z:{a...}.
Thm* ((s:({a...z}{1...n-1}Peg).
Thm* ((s is a Hanoi(n-1 disk) seq on a..z Thm* ((& s(a) = f {1...n-1}Peg
Thm* ((& s(z) = g {1...n-1}Peg)
Thm* ( Thm* ((s:({a...z}{1...n}Peg).
Thm* ((s is a Hanoi(n disk) seq on a..z & s(a) = f & s(z) = g))
Generated subgoals:
None
About:
IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html