перегрузка == для класса string

#include <iostream>
#include <string>
 
struct my_string : public std::string {
    my_string( const char *s ) : std::string( s ) {}
 
    bool operator == ( const std::string & a ) {
        return (std::string)(*this) == a;
    }
};
 
int main()
{
    my_string a( "abc" );
    my_string b( "abc" );
    std::cout << (a == b ? "true" : "false") << std::endl;
}

#include <iostream>
#include <string>
 
 
bool operator ==(std::string const& lhs, std::string const& rhs) {
   return std::operator ==(lhs, rhs);
}
 
int main() {
   std::string lhs("lhs"), rhs("rhs");
   std::cout << std::boolalpha << (lhs == rhs) << std::endl;
}

#include <iostream>
 
class A {
public:
    A() {
        std::cout << "A::A()\n";
    }
 
    ~A() {
        std::cout << "A::~A()\n";
    }
};
 
struct B : public A {
    ~B() {
        std::cout << "B::~B()\n";
    }
};
 
int main()
{
    B b;
}

// comparer.h
 
#pragma once
 
#include <iostream>
 
bool operator ==(std::string const &Left, std::string const &Right)
{
    return (0 != (Left.compare(Right)));
}

// main.cpp
 
#include <iostream>
#include <string>
 
#include "comparer.h"
 
int main()
{
    using namespace std;
 
    string a = "123";
    string b = "456";
 
    cout << boolalpha << (a == b) << endl;
 
    return 0;
}

#include <iostream>
#include <string>
 
class char_traits : public std::char_traits<char>
{
public:
 
    static int compare(const char *left, const char *right, size_t length)
    {
        // тут сравниваем 2 строки
        std::cout << "HERE" << std::endl; 
 
        return 0;
    }
};
 
typedef std::basic_string<char, char_traits> string;
 
int main()
{
    string str1("one"), str2("two");    
    std::cout << std::boolalpha << (str1 == str2) << std::endl;
 
    return 0;
}

#include <iostream>
 
class A {
public:
    A() {
        std::cout << "A::A()\n";
    }
 
    ~A() {
        std::cout << "A::~A()\n";
    }
};
 
struct B : public A {
    ~B() {
        std::cout << "B::~B()\n";
    }
};
 
int main()
{
    A *obj = new B();
    delete obj;
}

    ...
    B *obj = new B;
    delete obj;
    ...

#include <iostream>
#include <string>
 
bool operator+(std::string const &Left, std::string const &Right)
{
 
}
    
int main()
{
 
}