| Who Cites select? |
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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 |
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nth_tl | Def nth_tl(n;as) == if n![](FONT/le.png) 0 as else nth_tl(n-1;tl(as)) fi (recursive) |
| | Thm* A:Type, as:A List, i: . nth_tl(i;as) A List |
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hd | Def hd(l) == Case of l; nil "?" ; h.t h |
| | Thm* A:Type, l:A List. ||l|| 1 ![](FONT/eq.png) hd(l) A |
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tl | Def tl(l) == Case of l; nil nil ; h.t t |
| | Thm* A:Type, l:A List. tl(l) A List |
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le_int | Def i![](FONT/le.png) j == ![](FONT/not.png) j< i |
| | Thm* i,j: . (i![](FONT/le.png) j) ![](FONT/bool.png) |
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lt_int | Def i< j == if i<j true ; false fi |
| | Thm* i,j: . (i< j) ![](FONT/bool.png) |
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bnot | Def ![](FONT/not.png) b == if b false else true fi |
| | Thm* b: . ![](FONT/not.png) b ![](FONT/bool.png) |