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map f (x : xs) = f x : map f xs
</syntaxhighlight>Now, suppose we have a list of integers [0, 5, 8, 3, 2, 1] and we want to map it with the function f(x) = x + 1, you can see below a view of each steps of the mapping process :
[[File:Mapping-steps-loillibe.gif|alt=applying map function processing steps|thumb|440x440px|View of processing steps when applying map function on a list|none]]
==Generalization==
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