#15303: Coercion discovery fails to be transitive
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       Reporter:  nbruin             |        Owner:
           Type:  defect             |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-5.13
      Component:  coercion           |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Simon King         |    Reviewers:
Report Upstream:  N/A                |  Work issues:  Analyse recursion
         Branch:                     |  error
  u/SimonKing/ticket/15303           |       Commit:
   Dependencies:  #14711             |  74821fe5409c3104b5d6eb7407a8287d54170df9
                                     |     Stopgaps:
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Comment (by SimonKing):

 I think I see a potential problem. In
 `sage.combinat.sf.k_dual.DualkSchurFunctions.__init__`, there is
 {{{
 kHLP = kBoundedRing.kHallLittlewoodP()
 
self.module_morphism(self._dks_to_khlp_on_basis,codomain=kHLP).register_as_coercion()
 
self.module_morphism(self._dks_to_khlp_on_basis,codomain=kHLP).register_as_coercion()
 }}}
 Hence, a coercion is registered on `kHLP` '''after''' it is initialised.
 As we have seen in the proof of my Lemma, such registration should result
 in an increase of the cache version number.

 Hence, I will change `Map.register_as_coercion()` so that it increases the
 cache version number.

--
Ticket URL: <http://trac.sagemath.org/ticket/15303#comment:36>
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