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  • $\begingroup$ To the downvoter: what part of my question was unclear? I would appreciate feedback if my question needs to be reworked. $\endgroup$ Commented Oct 11, 2014 at 17:21
  • $\begingroup$ I don't think your lase example is a valid one. y + I x == y - I x // Simplify results in x == 0. Try some example where (I) can't be factored out. $\endgroup$ Commented Oct 12, 2014 at 19:24
  • $\begingroup$ @Algohi: Hmm, trying some other nontrivial examples gives errors. Still, it makes no sense. My expression is a well-defined map $f:\mathbb{R}^2\rightarrow\{0,1\}$. The fact that the internal arithmetic uses complex numbers does not alter the function signature, which is a map of the real plane to truth values, so I can't understand why ImplicitRegion cannot handle it. $\endgroup$ Commented Oct 12, 2014 at 19:51