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If moving some disk converts f to g then the conversion if effected by moving whatever disk they disagree on.

At: hanoi step at change


  n:f,g:({1...n}Peg), j:{1...n}.
  (k:{1...n}. Moving disk k of n takes f to g)
  
  f(j g(j Moving disk j of n takes f to g


By: SimilarTo
Thm*  n:f,g:({1...n}Peg), i,k:{1...n}.
Thm*  Moving disk k of n takes f to g  f(i g(i i = k


Generated subgoal:

1 1. n : 
2. f : {1...n}Peg
3. g : {1...n}Peg
4. j : {1...n}
5. k:{1...n}. Moving disk k of n takes f to g  f(j g(j j = k
6. k:{1...n}. Moving disk k of n takes f to g
7. f(j g(j)
  Moving disk j of n takes f to g

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(4steps total) PrintForm Definitions Lemmas HanoiTowers Sections NuprlLIB Doc