| Some definitions of interest. |
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l_all | Def ( x L.P(x)) == x:T. (x L)  P(x) |
| | Thm* T:Type, L:T List, P:(T Prop). ( x L.P(x)) Prop |
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l_exists | Def ( x L.P(x)) == x:T. (x L) & P(x) |
| | Thm* T:Type, L:T List, P:(T Prop). ( x L.P(x)) 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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le | Def A B == B<A |
| | Thm* i,j: . (i j) 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||  |