I have found the following problem.
sage: Set([len([v for v in mySet if v==u]) for u in mySet])
{1, 2}
sage: type(mySet)
<class 'sage.sets.set.Set_object_enumerated_with_category'>
So we have here a *set with repetitions*. This happens for a very
specific set mySet which contains linear combinations of elements of a
rather big poset.
sage: type(mySet[0])
<class
'sage.combinat.free_module.modules_sur_P_with_category.element_class'>
Is there any known explanation for this bad behavior ?
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