#20940: LatticePoset: add is_sectionally_complemented()
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       Reporter:  jmantysalo         |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.3
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Jori Mäntysalo     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jmantysalo/sectionally_complemented|  
23c3ee3f5b23192f2d60f2979865d4baf14f60ca
   Dependencies:                     |     Stopgaps:
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Comment (by jmantysalo):

 Replying to [comment:3 kdilks]:
 > Would it be of any value to have an optional {{{certificate}}} parameter
 which would return the poset element whose principal order ideal isn't
 complemented instead of just {{{False}}}?

 As you wish.

 But now for orthogonality we should add `certificate`s to other functions
 too. Which is not a bad idea at all, at least for demonstration purposes
 (really show the pentagon for non-modular lattice etc.). I could start
 with `complements()`, but then someone should first review #20727 that
 corrects a trivial bug.

--
Ticket URL: <https://trac.sagemath.org/ticket/20940#comment:5>
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