| Some definitions of interest. |
|
hanoi_seq | Def 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_PEG | Def Peg == {1...3} |
| | Thm* Peg Type |
|
hanoi_seq_deepen | Def (s(?) {to n} h {to n'})(x) == s(x) {to n} h {to n'} |
| | Thm* a,z:, n:, s:({a...z}{1...n}Peg), n':.
Thm* nn'
Thm*
Thm* (h:({n+1...n'}Peg). (s(?) {to n} h {to n'}) {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 | Def == {i:| 0i } |
| | Thm* Type |
|
le | Def AB == B<A |
| | Thm* i,j:. (ij) Prop |
|
nat_plus | Def == {i:| 0<i } |
| | Thm* Type |