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forDef For{T,op,id} x  as. f(x) == reduce(op;id;map(x:T. f(x);as))
Thm* A,B,C:Type, f:(BCC), k:C, as:A List, g:(AB).
Thm* (For{A,f,k} x  as. g(x))  C
tlambdaDef (x:T. b(x))(x) == b(x)
mapDef map(f;as) == Case of as; nil  nil ; a.as'  f(a).map(f;as')  (recursive)
Thm* A,B:Type, f:(AB), l:A List. map(f;l)  B List
reduceDef 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

Syntax:For{T,op,id} x  as. f(x) has structure: for(T; op; id; as; x.f(x))

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listconsnillist_indapply
functionrecursive_def_noticeuniversememberall!abstraction
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WhoCites Definitions list 1 Sections StandardLIB Doc