#20184: Comparison of number field elements embedded into RIF fails
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       Reporter:  mkoeppe        |        Owner:
           Type:  defect         |       Status:  new
       Priority:  major          |    Milestone:  sage-7.1
      Component:  number fields  |   Resolution:
       Keywords:                 |    Merged in:
        Authors:                 |    Reviewers:
Report Upstream:  N/A            |  Work issues:
         Branch:                 |       Commit:
   Dependencies:                 |     Stopgaps:
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Comment (by vdelecroix):

 I do not think this is a bug.

 The (respective to the embedding) comparison code is used only if there is
 a coercion embedding for which the codomain allows to have arbitrary
 precision real intervals (right now, only `AA`/`QQbar` but could be extend
 to `RLF`/`CLF`). I do not mean that it is not feasible to find the
 corresponding exact embedding from a one into `RIF` one. But I would be
 against using it.

 What is the problem with the behavior in the ticket description?

--
Ticket URL: <http://trac.sagemath.org/ticket/20184#comment:1>
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