[Haskell-beginners] Return type from class method

[PATRICK BROWNE]

Hi,
Is there a way rewriting the definition of (+) so that testPlusArg returns
a (Moving Double). My current intuition is that the signature [(+)  ::  a
-> a  -> a] says that the type should be the same as the arguments. And
indeed (:t testPlus) confirms this. But the type of  testPlusArg is a
Double.
 Can I make it (Moving Double) ?
Thanks,
Pat


{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE TypeSynonymInstances #-}
module Moving where
data  Time  = Time Double
type Moving v  = Time -> v

class  Number a where
 (+)  ::  a -> a  -> a

instance Number  (Moving Double) where
 (+) a b = \t -> ((a t) Prelude.+ (b t))

a,b ::  Moving Double
a (Time x) = 2.0
b (Time x) = 2.0
testPlus ::(Moving Double)
testPlus = (a Moving.+ b)
testPlusArg = (a Moving.+ b) (Time 2.0)

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