#18695: setting domain=integer on var has no effect with solve
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   Reporter:  rws        |            Owner:
       Type:  defect     |           Status:  new
   Priority:  major      |        Milestone:  sage-6.8
  Component:  symbolics  |         Keywords:
  Merged in:             |          Authors:
  Reviewers:             |  Report Upstream:  N/A
Work issues:             |           Branch:
     Commit:             |     Dependencies:
   Stopgaps:             |
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 While this works as expected:
 {{{
 sage: n = var('n')
 sage: assume(n, 'integer')
 sage: solve([n^2 == 3],n)
 []
 }}}
 this does not:
 {{{
 sage: forget()
 sage: n = var('n', domain='integer')
 sage: solve([n^2 == 3],n)
 [n == -sqrt(3), n == sqrt(3)]
 }}}
 So, either `solve` should also look at the variable domain, or better,
 let's propagate domain settings to the assumption list.

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Ticket URL: <http://trac.sagemath.org/ticket/18695>
Sage <http://www.sagemath.org>
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