Keith, that's because according to the measures given in #4 and #10, \\(1 + 1i\\) and \\(1 - 1i\\) are cyclically related (\\(x \le y\\) and \\(y \le x\\)), but are not equal to each other. The defining characteristic of a partial order, as opposed to a preorder, is that if \\(x\\) and \\(y\\) are cyclically related in this way, then \\(x = y\\).

As John notes, however, these are perfectly serviceable _preorders_.