Can we get the type of a lambda argument?

Using std::function, we can get the type of an argument using the argument_type, second_argument_type etc. typedefs, but I can't see a way to do the same thing with lambdas. Is it possible? (I'm using VS2010)

Say I want something like the following in my deserialization system used to read an object and pass it to a setter function:

template<typename F> 
static void forward(F f)
{ 
    // Create an object of the type of the first
    // parameter to the function object F
    typedef typename F::argument_type T;
    T t;

    //...do something with 't' here (deserialize in my case)

    // Forward the object to the function
    f(t);
}

It can be used like this and everything works fine:

std::function<void(int)> f = [](int i) -> void { setValue(i); };
forward(f);

But it will not work directly with lambdas:

forward([](int i) -> void { setValue(i); });
//error C2039: 'argument_type' : is not a 
//member of '`anonymous-namespace'::<lambda1>'

Is there a way to access the parameter types in a way that will work for both lambdas and std::function objects? Maybe a way to get the std::function type of a lambda first, and then the argument_type from that?

Following on from the answer below, a version that works with lambdas and std::function is:

template<typename T, typename F> 
static void forward(F f)
{ 
    T t;

    //...do something with 't' here (deserialize in my case)

    f(t);
}

forward<int>([](int i) -> void { setValue(i); });

Since int is repeated here I was hoping to get rid of it - not so bad for int but more annoying for long-named types in a couple of namespaces. C'est la vie!