How to fix USA1013 Fxcop issue

Question

I have the following code:

System.Diagnostics.Process process = new System.Diagnostics.Process
{
    StartInfo =
    {
        FileName = "SomeFileName",
        Arguments = "args",
        UseShellExecute = false,
        CreateNoWindow = true
    }
};

I get the following errors when I use Fxcop on this code:

USA1013 The namespace 'System.Diagnostics.Process' from the assembly 'System.dll' is not allowed for the local variable 'process' of the method 'Method()' in the class 'ClassName'.

USA1013 The namespace 'System.Diagnostics.Process.get_StartInfo' from the assembly 'System.dll' is not allowed for the calling 'get_StartInfo' in the method 'Method()' in the class 'ClassName'.

What causes these errors and how to fix them?