you are applying the type to lookup only!
try let lookupIn = ((flip lookup ) :: (Eq a) => [(a, b)] -> a -> Maybe b )
So what's this all about then? How come a has become ()?
ghci> :t lookup
lookup :: (Eq a) => a -> [(a, b)] -> Maybe b
ghci> :t flip lookup
flip lookup :: (Eq a) => [(a, b)] -> a -> Maybe b
ghci> let lookupIn = (flip lookup :: (Eq a) => [(a, b)] -> a -> Maybe b )
ghci> :t lookupIn
lookupIn :: [((), b)] -> () -> Maybe b
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