c++ - Inheriting copy and move constructors of base class using "using" keyword

I want to inherit copy constructor of the base class using using keyword:

#include 


struct A
{
    A() = default;

    A(const A  &) { std::cerr << __PRETTY_FUNCTION__ << std::endl; }
    A(      A &&) { std::cerr << __PRETTY_FUNCTION__ << std::endl; }

    A& operator=(const A  &) { std::cerr << __PRETTY_FUNCTION__ << std::endl; return *this; }
    A& operator=(      A &&) { std::cerr << __PRETTY_FUNCTION__ << std::endl; return *this; }
};


struct B : A
{
    using A::A;
    using A::operator=;

    B& operator=(const B  &) { std::cerr << __PRETTY_FUNCTION__ << std::endl; return *this; }
    B& operator=(      B &&) { std::cerr << __PRETTY_FUNCTION__ << std::endl; return *this; }
};


int main()
{
    A a;
    B b;
    b = a; // OK
    B b1(          a ); // compile error
    B b2(std::move(a)); // compile error
    return 0;
}

Inheriting assignment operator using using keyword works OK, but inheriting copy and move constructors causes a compilation error: an inherited constructor is not a candidate for initialization from an expression of the same or derived type.

http://coliru.stacked-crooked.com/a/fe84b429c391c894:

main.cpp:16:14: note:   an inherited constructor is not a candidate for initialization from an expression of the same or derived type
main.cpp:8:5: note: candidate: A::A(A&&)
     A(      A &&) { std::cerr << __PRETTY_FUNCTION__ << std::endl; }
     ^
main.cpp:16:14: note:   inherited here

     using A::A;

Why can I inherit assignment operator but cannot inherit copy constructor? What is a difference? I could understand if I couldn't inherit assignment operators too. But inheriting assignment operators in contrary is considered OK. That is a little strange for me.

The story

What I want is similar to what is asked in this question: I want to just add new methods to existing class without modifying it (it's a class from another library).

http://coliru.stacked-crooked.com/a/149a6194717cd465:

#include 

struct A // not my class
{
};

struct B : A
{
    using A::A;

    using A::operator=;

    void foo() { std::cerr << "fuu" << std::endl; }
};

A NotMyFunc()
{
    return {};
}


int main()
{
    B b(NotMyFunc());
    b.foo();
    return 0;
}

But I don't want to reimplement copy and move constructors.