| | Who Cites no repeats? |
|
| no_repeats | Def no_repeats(T;l) ==  i,j: . i < ||l||   j < ||l||  i = j l[i] = l[j]  T |
| | | Thm* T:Type, l:T List. no_repeats(T;l) Prop |
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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 |
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| nat | Def == {i:| 0i } |
| | | Thm* Type |
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| le | Def AB == B < A |
| | | Thm* i,j:. (ij) Prop |
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| not | Def A == A False |
| | | Thm* A:Prop. (A) 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|| |
| | | Thm* ||nil|| |
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| nth_tl | Def nth_tl(n;as) == if n 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 hd(l) A |
| | | Thm* A:Type, l:A List . 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 ij == j < i |
| | | Thm* i,j:. (ij)  |
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| lt_int | Def i < j == if i < j true ; false fi |
| | | Thm* i,j:. (i < j) |
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| bnot | Def b == if b false else true fi |
| | | Thm* b:. b |
