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