| | Some definitions of interest. |
|
| 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 |
|
| 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 |
|
| iff | Def P  Q == (P  Q) & (P  Q) |
| | | Thm* A,B:Prop. (A  B) Prop |
|
| l_member | Def (x l) == i: . i < ||l|| & x = l[i] T |
| | | Thm* T:Type, x:T, l:T List. (x l) Prop |
|
| rev_implies | Def P  Q == Q  P |
| | | Thm* A,B:Prop. (A  B) Prop |