Comment #10 on issue 1924 by ronan.l...@gmail.com: Eq() gets .as_basic() method
http://code.google.com/p/sympy/issues/detail?id=1924

"integer" has a clear meaning, "basic" doesn't. Besides, all Integers are integers, but integers aren't necessarily Integers: your suggestion is inconsistent with that. And what Poly does is wrong. The following would make more sense mathematically:

Poly(t)
X
_(t)
t

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