#13814: LazyFamily.__eq__ gives false positives.
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       Reporter:  cnassau           |         Owner:  sage-combinat
           Type:  defect            |        Status:  needs_review 
       Priority:  major             |     Milestone:  sage-5.6     
      Component:  combinatorics     |    Resolution:               
       Keywords:                    |   Work issues:               
Report Upstream:  N/A               |     Reviewers:               
        Authors:  Christian Nassau  |     Merged in:               
   Dependencies:                    |      Stopgaps:               
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Comment (by cnassau):

 > In order to separate the two issues, what about changing the failing
 > examples to use Partitions (which pickles smoothly), rather than
 > making it more complicated with some workaround that won't be needed
 > hopefully sometime soon, and is not vital for most users?

 Actually, {{{Partitions}}} doesn't really pickle very well either:
    {{{#!python
    sage: # first attempt
    sage: f=Family(NonNegativeIntegers(),Partitions) ; f
    Lazy family (Partitions(i))_{i in Non negative integers}
    sage: loads(dumps(f))
    Traceback (most recent call last)
    ...
    ValueError: Cannot pickle code objects from closures

    sage: # second attempt
    sage: f=Family(NonNegativeIntegers(),lambda n:Partitions(n))
    sage: g=loads(dumps(f))
    sage: f[5]
    Partitions of the integer 5
    sage: g[5]
    Traceback (most recent call last)
    ...
    NameError: global name 'Partitions' is not defined
    }}}

 I can use {{{Simplex}}} for a smooth example:

    {{{#!python
    sage: f=Family(NonNegativeIntegers(),Simplex)
    sage: g=loads(dumps(f))
    sage: f[5]
    (0, 1, 2, 3, 4, 5)
    sage: g[5]
    (0, 1, 2, 3, 4, 5)
    }}}

 I'll try to prepare a new patch tomorrow.

 Cheers, \\
 Christian

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13814#comment:20>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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