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Some definitions of interest.
compose
Def
(f o g)(x) == f(g(x))
Thm*
A,B,C:Type, f:(B
C), g:(A
B). f o g
A
C
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
top
Def
Top == Void given Void
Thm*
Top
Type
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