Template alias as a dependent name

Question

How to call a template function based on a dependent template alias of another template function?

For instance, there is a template class and a template function, which accepts this class as a template argument:

template<typename... T>
struct FooClass {
    static int foo() { return 42; }
};

template<template<typename...> class T>
void printFoo() {
    std::cout << T<>::foo() << std::endl;
}

Then, there is a class, which contains a template alias to FooClass:

struct MyClass {
    template<typename... U>
    using FooAlias = FooClass<U...>;
};

Finally, there is another template function, which accepts MyClass as a template argument and uses its FooAlias to call printFoo with an appropriate type:

template<typename T>
void lookUpAndPrintFoo() {
    // printFoo<FooClass>();            //< works
    // printFoo<MyClass::FooAlias>();   //< works
    printFoo<typename T::FooAlias>();   //< does not compile
}

int main() {
    lookUpAndPrintFoo<MyClass>();
    return 0;
}

If I use the desired class directly or its alias, which does not depend on a template argument, everything is fine. As soon as I try to use a dependent alias, I get this error message:

prog.cpp: In instantiation of 'void lookUpAndPrintFoo() [with T = MyClass]':
prog.cpp:26:29:   required from here
prog.cpp:22:32: error: 'typename MyClass::FooAlias' names 'template<class ... U> using FooAlias = struct FooClass<U ...>', which is not a type
  printFoo<typename T::FooAlias>();
                                ^

What is the proper way how to pass T::FooAlias to printFoo()?