Comment #7 on issue 2625 by asmeurer: Imaginary unit in R, ordering of complex numbers
http://code.google.com/p/sympy/issues/detail?id=2625

That's really only a problem if the comparison operator is required to be compatible with the field operations for other reasons.

It is a problem. The reason that I in Interval(-oo, oo) returns True is because Interval.__contains__ returns And(-oo < I, I < oo). There are other places in the code that do this too.

There is no reason to make < and > define some esoteric ordering on complex numbers. There are other functions that do this for you if you want it. They should remain strictly as the ordered field definition.

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