Is assignment operator inherited?

In C++, like other functions, assignment operator function is inherited in derived class. For example, in the following program, base class assignment operator function can be accessed using the derived class object. CPP

#include<iostream>

using namespace std;

class A {
 public:
   A & operator= (A &a) { 
    cout<<" base class assignment operator called "; 
    return *this;
   }
};

class B: public A { };

int main()
{
  B a, b;
  a.A::operator=(b); //calling base class assignment operator function 
                    // using derived class
  getchar();
  return 0;
}

Output: base class assignment operator called