| Some definitions of interest. |
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upto | Def upto(n) == if n= 0 nil else upto(n-1) @ [(n-1)] fi (recursive) |
| | Thm* n: . upto(n) n 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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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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not | Def A == A  False |
| | Thm* A:Prop. ( A) Prop |