| Some definitions of interest. |
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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_seg | Def {i..j } == {k: | i k < j } |
| | Thm* m,n: . {m..n } Type |
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le | Def A B == B<A |
| | Thm* i,j: . (i j) Prop |
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length | Def ||as|| == Case of as; nil 0 ; a.as' ||as'||+1 (recursive) |
| | Thm* A:Type, l:A List. ||l|| ![](FONT/int.png) |
| | Thm* ||nil|| ![](FONT/int.png) |
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not | Def A == A ![](FONT/eq.png) False |
| | Thm* A:Prop. ( A) Prop |
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select | Def l[i] == hd(nth_tl(i;l)) |
| | Thm* A:Type, l:A List, n: . 0 n ![](FONT/eq.png) n<||l|| ![](FONT/eq.png) l[n] A |