#15875: Add is_subposet
-------------------------------------+-------------------------------------
       Reporter:  csar               |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.9
      Component:  combinatorics      |   Resolution:
       Keywords:  posets             |    Merged in:
        Authors:  Jori Mäntysalo     |    Reviewers:  Travis Scrimshaw
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jmantysalo/is_subposet           |  00daf69f415aa6f10410dc65841ebe48f592c88b
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by jmantysalo):

 Replying to [comment:30 tscrim]:

 > The current docstring is much more clear than previously. Thank you.
 Could you also add something about the elements/labels to the `NOTE::`
 block too, something like `(i.e., up to relabeling)` after the
 `*isomorphic*` to further emphasize this?

 Done.

 > You should add some more examples contrasting the two methods. In
 particular, one where the `subposet` returns `False` as the isomorphism
 one returns `True`. Also you have some `$` in the docstring.

 ?? First example is already like that. `Q.has_isomorphic_subposet(P)`
 returns `True`. Removed `$`.

 > I think because they are the same elements and because facade is more
 specific to use in Sage, we should have the subposet not depend on being a
 facade.

 OK. This patch fixes it to other direction, but needs more work:

 {{{
 sage: P = Poset({1:[2]}, facade=True)
 sage: Q = Poset({1:[2]}, facade=False)
 sage: P.is_subposet(Q)
 True
 sage: Q.is_subposet(P)
  . . .
 ValueError: <class 'sage.combinat.posets.elements.FinitePoset_with---
  . . .
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/15875#comment:36>
Sage <http://www.sagemath.org>
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