#20727: LatticePoset: about complements
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       Reporter:  jmantysalo         |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.3
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Jori Mäntysalo     |    Reviewers:  Travis Scrimshaw
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jmantysalo/hasse_complements     |  2481a494167fa56b15742fd9b507559232517069
   Dependencies:                     |     Stopgaps:
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Comment (by jmantysalo):

 Replying to [comment:4 tscrim]:
 > This is essentially a positive review, but I don't know the definition
 of the complements of elements in a poset. I think it would be good to
 give this.

 (I guess you mean lattice and not poset, even if it is easy to extend the
 definition to every bounded poset.)

 It is said in `lattices.py` at function `complements()` already: Elements
 `x` and `y` are complements if their meet and join are respectively the
 bottom and the top element of the lattice.

 In how many places should it be said? In `hasse_diagram.py`? In
 `is_complemented()`, `is_relatively_complemented()`, and maybe later in
 `is_sectionally_complemented()`? This is a real question, and I can see
 arguments for both directions.

--
Ticket URL: <https://trac.sagemath.org/ticket/20727#comment:5>
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