This question is a follow up on my earlier Singleton question...

How do you make a class Thread-Safe?

Would this class be both thread-safe and a singleton?

class MyClass
{
    private static readonly object _lockobj = new object();

    private static MyClass instance = null;
    public static MyClass Instance
    {
        get
        {
            if (instance == null)
                instance = new MyClass();

            return instance;
        }
    }

    public MyClass()
    {
        lock (_lockobj) ;
    }
}

Since the class is a singleton, and by getting a lock in the CTOR, is it now thread-safe, assuming I do

MyClass class = MyClass.Instance.

Thanks