| Some definitions of interest. |
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assert | Def b == if b True else False fi |
| | Thm* b: . b Prop |
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filter | Def filter(P;l) == reduce( a,v. if P(a) [a / v] else v fi;nil;l) |
| | Thm* T:Type, P:(T![](FONT/dash.png) ![](FONT/then_med.png) ), l:T List. filter(P;l) T List |
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iff | Def P ![](FONT/if_big.png) Q == (P ![](FONT/eq.png) Q) & (P ![](FONT/if_big.png) Q) |
| | Thm* A,B:Prop. (A ![](FONT/if_big.png) B) Prop |
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l_all | Def ( x L.P(x)) == x:T. (x L) ![](FONT/eq.png) P(x) |
| | Thm* T:Type, L:T List, P:(T![](FONT/dash.png) Prop). ( x L.P(x)) Prop |
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sublist | Def L1 L2
Def == f:( ||L1||![](FONT/dash.png) ![](FONT/then_med.png) ||L2||).
Def == increasing(f;||L1||) & ( j: ||L1||. L1[j] = L2[(f(j))] T) |
| | Thm* T:Type, L1,L2:T List. L1 L2 Prop |