[Haskell-cafe] principle types

[Vikrant]

Hi,
   I can understand why principle type of map is

map :: (a -> b) -> [a] -> [b] ,
I would interpret this as "map takes a function of type a->b and a list of
type [a] as arguments and returns a list of type [b]"

but it is going somewhat beyond my imagination why principle type of map map
is

(map map)::[a -> b] -> [[a] -> [b]]

I am able to interpret the expressions "[a -> b] -> [[a] -> [b]]"
vaguely...

does this mean that 'map map' takes list of functions of type (a->b) and
returns list of functions of type ([a]->[b])
if yes ..how do I derive it from basic type declaration of map?

Thanks in advance
Vikrant
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