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std::rel_ops::operator!=,>,<=,>= cppreference.com
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std::rel_ops::operator!=,>,<=,>=

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template< class T > bool operator!=( const T& lhs, const T& rhs );
(1) ( C++20)
template< class T > bool operator>( const T& lhs, const T& rhs );
(2) ( C++20)
template< class T > bool operator<=( const T& lhs, const T& rhs );
(3) ( C++20)
template< class T > bool operator>=( const T& lhs, const T& rhs );
(4) ( C++20)

operator== operator< T .

1) operator!= operator==.
2) operator> operator<.
3) operator<= operator<.
4) operator>= operator<.

lhs
rhs

1) true, lhs rhs.
2) true, lhs rhs.
3) true, lhs rhs.
4) true, lhs rhs.

(1) operator!=
namespace rel_ops {
    template< class T >
    bool operator!=( const T& lhs, const T& rhs )
    {
        return !(lhs == rhs);
    }
}
(2) operator>
namespace rel_ops {
    template< class T >
    bool operator>( const T& lhs, const T& rhs )
    {
        return rhs < lhs;
    }
}
(3) operator<=
namespace rel_ops {
    template< class T >
    bool operator<=( const T& lhs, const T& rhs )
    {
        return !(rhs < lhs);
    }
}
(4) operator>=
namespace rel_ops {
    template< class T >
    bool operator>=( const T& lhs, const T& rhs )
    {
        return !(lhs < rhs);
    }
}

Boost.operators std::rel_ops.

C++20, std::rel_ops operator<=>.

#include <iostream>
#include <utility>

struct Foo
{
    int n;
};

bool operator==(const Foo& lhs, const Foo& rhs)
{
    return lhs.n == rhs.n;
}

bool operator<(const Foo& lhs, const Foo& rhs)
{
    return lhs.n < rhs.n;
}

int main()
{
    Foo f1 = {1};
    Foo f2 = {2};
    using namespace std::rel_ops;

    std::cout << std::boolalpha
              << "{1} != {2} : " << (f1 != f2) << '\n'
              << "{1} >  {2} : " << (f1 > f2) << '\n'
              << "{1} <= {2} : " << (f1 <= f2) << '\n'
              << "{1} >= {2} : " << (f1 >= f2) << '\n';
}

:

{1} != {2} : true
{1} >  {2} : false
{1} <= {2} : true
{1} >= {2} : false

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