#19108: Implement Python 3 style comparison in the coercion framework
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   Reporter:  ohanar                 |            Owner:
       Type:  enhancement            |           Status:  new
   Priority:  major                  |        Milestone:  sage-6.9
  Component:  coercion               |         Keywords:
  Merged in:                         |          Authors:  R. Andrew Ohana
  Reviewers:                         |  Report Upstream:  N/A
Work issues:                         |           Branch:
     Commit:                         |  u/ohanar/python3stylecomparison
  168fafb347a6afbdc96cae5bc27a4bea1c22f2e9|     Dependencies:
   Stopgaps:                         |
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 Currently to implement comparison for an element, you either need to
 implement `_cmp_` or `_richcmp_`. For developers accustom to Python 3's
 method of implementing each comparison operator, we should have `_lt_`,
 `_le_`, etc.

 Additionally, for most elements where comparison makes sense, there is the
 overwhelming notion that such a comparison is a partial order. Thus
 (unlike in pure python) we should make the default behavior extend the
 provided operators to a partial order (provided enough comparison
 operators are provided).

--
Ticket URL: <http://trac.sagemath.org/ticket/19108>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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