Some definitions of interest.
hanoi_PEG	Def  Peg == {1...3}
	Thm*  Peg  Type
hanoi_sol2_ala_generalPROG	Def  HanoiSTD(n disks; from: p; to: q; indexing from: a) Def  == if n=0 <a,x,i. whatever> Def  == else HanoiSTD(n-1 disks; from: p; to: otherPeg(p; q); indexing from: a) Def  == else /m,s1. Def  == else HanoiSTD(n-1 disks; from: otherPeg(p; q); to: q; indexing from: m Def  == else HanoiSTD(+1) Def  == else /z,s2. <z,HanoiHelper(n; s1; i.p; s2; i.q)/r1,r2. r1 @(m) r2> fi Def  (recursive)
	Thm*  n:, p,q:Peg. Thm*  p  q Thm*   Thm*  (a:.  Thm*  (HanoiSTD(n disks; from: p; to: q; indexing from: a) Thm*  ( z:{a...}({a...z}{1...n}Peg))
hanoi_general_exists_lemma2PROG	Def  HanoiHelper(n; s1; f; s2; g) 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(n; s1; f; s2; g) Thm*   ({a...m}{1...n}Peg)({m+1...z}{1...n}Peg)
hanoi_otherpeg	Def  otherPeg(x; y) == 6-(x+y)
	Thm*  x,y:Peg. x  y  otherPeg(x; y)  Peg
hanoi_seq_join	Def  (s1 @(m) s2)(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 @(m) s2)  {a...z}{1...n}Peg
int_iseg	Def  {i...j} == {k:| ik & kj }
	Thm*  i,j:. {i...j}  Type
int_upper	Def  {i...} == {j:| ij }
	Thm*  n:. {n...}  Type
nat_plus	Def   == {i:| 0<i }
	Thm*    Type
nequal	Def  a  b  T == a = b  T
	Thm*  A:Type, x,y:A. (x  y)  Prop

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