覆盖一个类型的Equals和GetHashCode，它有'dibs'？

public class Person : IEquatable<Person>
{
    public string IdNumber { get; set; }
    public string Name { get; set; }

    public bool Equals(Person otherPerson)
    {
        if (IdNumber == otherPerson.IdNumber)
            return true;
        else
            return false;
    }

    public override bool Equals(object obj)
    {
        if (obj == null) 
            return base.Equals(obj);

        if (!(obj is Person))
            throw new InvalidCastException("The Object isn't of Type Person.");
        else
            return Equals(obj as Person);
    }

    public override int GetHashCode()
    {
        return IdNumber.GetHashCode();
    }

    public static bool operator ==(Person person1, Person person2)
    {
        return person1.Equals(person2);
    }

    public static bool operator !=(Person person1, Person person2)
    {
        return (!person1.Equals(person2));
    }
}

static void Main(string[] args)
{
    Person sergio = new Person() { IdNumber = "1", Name = "Sergio" };
    Person lucille = new Person() { IdNumber = "2", Name = "Lucille" };

    List<Person> people = new List<Person>(){
        sergio,
        lucille
    };

    Person lucille2 = new Person() { IdNumber = "2", Name = "Lucille" };
    if (people.Contains(lucille2))
    {
        Console.WriteLine("Already exists.");
    }

    Console.ReadKey();
}