[Haskell-beginners] Why is type "Integer -> Integer" and not "(Num a) => a -> a"?

[Dag Hovland]

Hi!

I have a problem with understanding some types given by ghc and hugs.
The file loaded is:

f1 = \x -> x * 2
f2 x = x * 2

After they are loaded I get the following from ghci

*Main> :t f1
f1 :: Integer -> Integer
*Main> :t f2
f2 :: (Num a) => a -> a
*Main> :t \x -> x * 2
\x -> x * 2 :: (Num a) => a -> a


I do not understand why f1 is given Integer -> Integer as a type and not
the polymorphic (Num a) => a -> a. I believed that f1, f2 and the lambda
expression should all have the same type. Similar output to that above
is given by Hugs.

Thanks,

Dag Hovland
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