Why should they? You can compare them in whatever way you like. And there isn't a natural/inherent sense of total order between types.

On Sun, Dec 5, 2010 at 6:08 AM, Serguey Zefirov <sergueyz@gmail.com> wrote:
Why TypeRep does have equality and doesn't have ordering?

It would be good to have that.

Right now when I have to order two type representations I convert them
to string and then compare. This is somewhat inefficient and not quite
straightforward.

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Tianyi Cui