| Who Cites mapfilter? |
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mapfilter | Def mapfilter(f;P;L) == map(f;filter(P;L)) |
| | Thm* T:Type, P:(T), T':Type, f:({x:T| P(x) }T'), L:T List.
Thm* mapfilter(f;P;L) T' List |
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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), l:T List. filter(P;l) T List |
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map | Def map(f;as) == Case of as; nil nil ; a.as' [(f(a)) / map(f;as')]
Def (recursive) |
| | Thm* A,B:Type, f:(AB), l:A List. map(f;l) B List |
| | Thm* A,B:Type, f:(AB), l:A List. map(f;l) B List |
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reduce | Def reduce(f;k;as) == Case of as; nil k ; a.as' f(a,reduce(f;k;as'))
Def (recursive) |
| | Thm* A,B:Type, f:(ABB), k:B, as:A List. reduce(f;k;as) B |