#18511: LatticePoset: add is_sublattice()
-------------------------------------+-------------------------------------
       Reporter:  jmantysalo         |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.9
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Jori Mäntysalo     |    Reviewers:  Nathann Cohen, Darij
Report Upstream:  N/A                |  Grinberg
         Branch:                     |  Work issues:
  public/ticket/18511                |       Commit:
   Dependencies:                     |  0ef0050b3b959c2115dc9a433d80c62dda905f8f
                                     |     Stopgaps:
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Changes (by jmantysalo):

 * status:  needs_review => needs_work
 * milestone:  sage-6.8 => sage-6.9


Old description:

> Add function to check if a given iterable (like another lattice or poset,
> or just a list of elements) is a sublattice of the lattice. There should
> be nothing complicated with this.

New description:

 Add function to check if a given lattice is a sublattice of the lattice.
 There should be nothing complicated with this.

--

Comment:

 Returning to this one... We have `is_subgraph` and there is `is_subposet`
 on #15875 waiting for review. So I guess this should be also
 `is_sublattice()`.

 On the other hand, then testing if a list `l` of elements of `L` is closed
 under meet and join must be done like
 `LatticePoset(L.subposet(l)).is_sublattice(L)`. But maybe we can live with
 it.

--
Ticket URL: <http://trac.sagemath.org/ticket/18511#comment:31>
Sage <http://www.sagemath.org>
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