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hanoi general exists lemma1111 1. n : 2. f : {1...n}Peg
3. g : {1...n}Peg
4. f(n) = g(n)
5. a : 6. z : {a...}
7. s : {a...z}{1...n-1}Peg
8. s is a Hanoi(n-1 disk) seq on a..z 9. s(a) = f 10. s(z) = g (s(?) {to n-1} i.f(n) {to n}) is a Hanoi(n disk) seq on a..z
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Thm*a,z:, n:, s:({a...z}{1...n}Peg), n':.
Thm* nn' Thm* Thm* (h:({n+1...n'}Peg).
Thm* (s is a Hanoi(n disk) seq on a..z Thm* ( Thm* ((s(?) {to n} h {to n'}) is a Hanoi(n' disk) seq on a..z)
Generated subgoals:
None
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