#11309: Sage sees - x + y > 0, - y + x >= 0,  and  x - y > 0 as equivalent
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       Reporter:  tnv                                                     |     
    Owner:  burcin                             
           Type:  defect                                                  |     
   Status:  positive_review                    
       Priority:  major                                                   |     
Milestone:  sage-5.1                           
      Component:  symbolics                                               |    
Resolution:                                     
       Keywords:  inequality equality relational sd31 __richcmp__ sd40.5  |   
Work issues:                                     
Report Upstream:  N/A                                                     |     
Reviewers:  Karl-Dieter Crisman, ThanhVu Nguyen
        Authors:  Keshav Kini, Burcin Erocal                              |     
Merged in:                                     
   Dependencies:                                                          |     
 Stopgaps:                                     
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Comment (by tnv):

 Hi, may be I've missed something but these patches still break things as
 listed in my comment:24.


 {{{
 (prepatched)

 sage: (- x + y == 0) == (0 == -x + y)
 True
 sage: (-x + y == 0) == (0 == -x + y)
 True
 sage: (x < y) == (y > x)
 True

 (postpatched)

 sage: (- x + y == 0) == (0 == -x + y)
 False
 sage: (-x + y == 0) == (0 == -x + y)
 False
 sage: (x < y) == (y > x)
 False
 }}}

 The main reason why I report this in the first place is because of this
 error in which multiplying by -1 does not switch the sign.  I think they
 are related but not sure.

 {{{
 sage: -1 * (x<5)
 -x < -5
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11309#comment:53>
Sage <http://www.sagemath.org>
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