| Some definitions of interest. |
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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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append | Def as @ bs == Case of as; nil bs ; a.as' [a / (as' @ bs)] (recursive) |
| | Thm* T:Type, as,bs:T List. (as @ bs) T List |
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int_seg | Def {i..j } == {k: | i k < j } |
| | Thm* m,n: . {m..n } Type |
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not | Def A == A  False |
| | Thm* A:Prop. ( A) Prop |
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primrec | Def primrec(n;b;c) == if n= 0 b else c(n-1,primrec(n-1;b;c)) fi (recursive) |
| | Thm* T:Type, n: , b:T, c:( n T T). primrec(n;b;c) T |
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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 |