What's the difference between Assert.AreNotEqual and Assert.AreNotSame?

Isn't it so that AreNotEqual checks for the case where two objects are not equal in terms of Equals() method, whereas AreNotSame checks for the case where the two object references are not the same. So if x and y are two objects which are equal in terms of Equals() but have been separately allocated, AreNotEqual() would trigger failing assertion but the other not.