| | Some definitions of interest. |
|
| firstn | Def firstn(n;as)
Def == Case of as; nil nil ; a.as' if 0< n a.firstn(n-1;as') else nil fi
Def (recursive) |
| | | Thm* A:Type, as:A List, n: . firstn(n;as) A List |
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| int_iseg | Def {i...j} == {k: | i k & k j } |
| | | Thm* i,j: . {i...j} Type |
|
| int_seg | Def {i..j } == {k: | i k < j } |
| | | Thm* m,n: . {m..n } Type |
|
| nat | Def == {i: | 0 i } |
| | | Thm* Type |
|
| le | Def A B == B<A |
| | | Thm* i,j: . (i j) Prop |
|
| length | Def ||as|| == Case of as; nil 0 ; a.as' ||as'||+1 (recursive) |
| | | Thm* A:Type, l:A List. ||l||  |
| | | Thm* ||nil||  |
|
| select | Def l[i] == hd(nth_tl(i;l)) |
| | | Thm* A:Type, l:A List, n: . 0 n  n<||l||  l[n] A |