| Some definitions of interest. |
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reverse | Def rev(as) == Case of as; nil nil ; a.as' rev(as') @ [a] (recursive) |
| | Thm* T:Type, as:T List. rev(as) 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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iff | Def P  Q == (P  Q) & (P  Q) |
| | Thm* A,B:Prop. (A  B) Prop |
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l_member | Def (x l) == i: . i < ||l|| & x = l[i] T |
| | Thm* T:Type, x:T, l:T List. (x l) Prop |
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rev_implies | Def P  Q == Q  P |
| | Thm* A,B:Prop. (A  B) Prop |