Deduction error of template parameters of a template template argument

I'm having issues when writing template members of a non template class, specfically when deducing template parameters of a template template argument.

The following code, minimal, illustrates my problem. I suspect there are at least two different problems down there.

#include <iostream>
#include <list>

using namespace std;

struct A
{
    list<int> l;

    template<template<class> class Iterable> 
    A(Iterable<int>& it);
};

template<template<class> class Iterable>
A::A(Iterable<int>& it) : l(list<int>())
{
    for(int i : it)
        l.push_back(i);
}

int main()
{
    list<int> l = {1, 2, 3, 4};
    A a(l);
    for(int i : a.l)
        cout << i << " ";
     cout << endl;

    A b = {1, 2, 3, 4};
    for(int i : b.l)
        cout << i << " ";
    cout << endl;
}

Remarks : I really want to provide the definition out of class. I also want the prototype of the constructor of A to work with lists of ints, vectors of ints, as well as initializer list.