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forDef For{T,op,idx  asf(x) == reduce(op;id;map(x:Tf(x);as))
Thm* A,B,C:Type, f:(BCC), k:Cas:A List, g:(AB).
Thm* (For{A,f,kx  asg(x))  C
tlambdaDef (x:Tb(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:Bas:A List. reduce(f;k;as B

Syntax:For{T,op,idx  asf(x) has structure: for(Topidasx.f(x))

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Definitions StandardLib Sections NuprlLIB Doc