| Some definitions of interest. |
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int_seg | Def {i..j } == {k: | i k < j } |
| | Thm* m,n: . {m..n } Type |
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l_interval | Def l_interval(l;j;i) == mklist(i-j; x.l[(j+x)]) |
| | Thm* T:Type, l:T List, i: ||l||, j: (i+1). l_interval(l;j;i) T List |
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length | Def ||as|| == Case of as; nil 0 ; a.as' ||as'||+1 (recursive) |
| | Thm* A:Type, l:A List. ||l||  |
| | Thm* ||nil||  |
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mklist | Def mklist(n;f) == primrec(n;nil; i,l. l @ [(f(i))]) |
| | Thm* T:Type, n: , f:( n T). mklist(n;f) T List |
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nat | Def == {i: | 0 i } |
| | Thm* Type |
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select | Def l[i] == hd(nth_tl(i;l)) |
| | Thm* A:Type, l:A List, n: . 0 n  n<||l||  l[n] A |