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for_hdtlDef ForHdTl{A,f,kh::t  asg(h;t) == reduce(f;k;mapcons(h,tg(h;t);as))
Thm* A,B,C:Type, f:(BCC), k:Cas:A List, g:(A(A List)B).
Thm* (ForHdTl{A,f,kh::t  asg(h,t))  C
mapconsDef mapcons(f;as) == Case of as; nil  nil ; a.as'  f(a,as').mapcons(f;as')
Def (recursive)
Thm* A,B:Type, f:(A(A List)B), l:A List. mapcons(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:ForHdTl{A,f,kh::t  asg(h;t) has structure: for_hdtl(Afkash,t.g(h;t))

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Definitions StandardLib Sections NuprlLIB Doc