std::set 与用户定义的类型，如何确保没有重复

So I have an std::set which needs to keep specific ordering as well as not allowing duplicates of a user defined (by me) type. Now I can get the order to work correctly by overloading the '<' operator in my type. However, the set does not appropriately detect duplicates, and to be honest I'm not entirely sure how it does this internally. I have overloaded the '==' operator, but somehow im not sure this is what the set is actually using? So the question is how does the set determine duplicates when you add values? Here is the relevant code:

用户定义类型:

//! An element used in the route calculation.
struct RouteElem {
    int shortestToHere; // Shortest distance from the start.
    int heuristic;      // The heuristic estimate to the goal.
    Coordinate position;
    bool operator<( const RouteElem& other ) const
    {
        return (heuristic+shortestToHere) < (other.heuristic+other.shortestToHere);
    }
    bool operator==( const RouteElem& other ) const
    {
        return (position.x == other.position.x && position.y == other.position.y);
    }
};

所以当它们的位置相等时，元素是等价的，如果一个元素的组合功能小于另一个元素，则它小于另一个元素.排序有效，但集合将接受相同位置的两个元素.