Incorrect Type Inference?

If the function 

func1 = \x -> map (*x)

is saved into a file, and then imported to ghci 
(v6.4, windows), the type becomes 

Integer -> [Integer] -> [Integer]


However, if I do 

:t \x -> map (*x)

the result is:

\x -> map (*x) :: (Num a) => a -> [a] -> [a]

which seems correct.

Trac metadata

Trac field	Value
Version	6.4
Type	Bug
TypeOfFailure	OtherFailure
Priority	normal
Resolution	ResolvedInvalid
Component	GHCi
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