| Some definitions of interest. |
|
int_lower | Def {...i} == {j:| ji } |
| | Thm* i:. {...i} Type |
|
int_seg | Def {i..j} == {k:| i k < j } |
| | Thm* m,n:. {m..n} Type |
|
int_upper | Def {i...} == {j:| ij } |
| | Thm* n:. {n...} Type |
|
iter_via_intseg | Def Iter(f;u) i:{a..b}. e(i)
Def == if a<b f((Iter(f;u) i:{a..b-1}. e(i)),e(b-1)) else u fi
Def (recursive) |
| | Thm* f:(AAA), u:A, a,b:, e:({a..b}A). (Iter(f;u) i:{a..b}. e(i)) A |