Partial classes in different namespace are not being recognized correctly

Question

I have a partial class that is split over two namespaces. The problem is that if I have an interface implemented on one of the partials, it is not recognized on the counterpart partial class. For example, I would expect the below to return true for being recognized as ILastModified (C# fiddle at http://ideone.com/heLDn0):

using System;
using MyNamespace.One;
 
public class Test
{
    public static void Main()
    {
        var item = new Product();
        Console.WriteLine(item is ILastModified); //RETURNS FALSE??!
    }
}
 
interface ILastModified
{
    DateTime LastModified { get; set; }
}
 
namespace MyNamespace.One
{
    public partial class Product
    {
        public int ID { get; set; }
    }
}
 
namespace MyNamespace.Two
{
    public partial class Product : ILastModified
    {
        public DateTime LastModified { get; set; }
    }
}

Answer 1

You cannot have a partial class in two different namespaces. The compiler treats those as two different classes.

Answer 2

I have a partial that is split over two namespaces.

You can't. By being in different namespaces, they are different classes.

Consider that this is the reason namespaces exist - so you can have the same class name for different classes.

From the C# Language Specification (C# 4.0), §10.2, Partial types:

Each part of a partial type declaration must include a partial modifier. It must have the same name and be declared in the same namespace or type declaration as the other parts.

(emphasis mine)

So, by definition, what you are doing is not a partial type.