Definitions HanoiTowers Sections NuprlLIB Doc
IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html
Some definitions of interest.
hanoi_seqDef  s is a Hanoi(n disk) seq on a..z
Def  == x,x':{a...z}.
Def  == x+1 = x'  (k:{1...n}. Moving disk k of n takes s(x) to s(x'))
Thm*  n:a,z:s:({a...z}{1...n}Peg).
Thm*  s is a Hanoi(n disk) seq on a..z  Prop
hanoi_PEGDef  Peg == {1...3}
Thm*  Peg  Type
hanoi_general_exists_lemma2PROGDef  HanoiHelper(ns1fs2g)
Def  == <s1(?) {to n-1}  f {to n},s2(?) {to n-1}  g {to n}>
Thm*  n:a:z:{a...}, m:{a...z-1}, f,g:({1...n}Peg),
Thm*  s1:({a...m}{1...n-1}Peg), s2:({m+1...z}{1...n-1}Peg).
Thm*  HanoiHelper(ns1fs2g)
Thm*   ({a...m}{1...n}Peg)({m+1...z}{1...n}Peg)
hanoi_seq_joinDef  (s1 @(ms2)(x) == if xm s1(x) else s2(x) fi
Thm*  n:m,a,z:s1:({a...m}{1...n}Peg), s2:({m+1...z}{1...n}Peg).
Thm*  (s1 @(ms2 {a...z}{1...n}Peg
int_isegDef  {i...j} == {k:ik & kj }
Thm*  i,j:. {i...j Type
int_upperDef  {i...} == {j:ij }
Thm*  n:. {n...}  Type
nat_plusDef   == {i:| 0<i }
Thm*    Type
nequalDef  a  b  T == a = b  T
Thm*  A:Type, x,y:A. (x  y Prop

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IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html

Definitions HanoiTowers Sections NuprlLIB Doc