Thank you Vincent for this ultra-fast answer!
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Bonsoir Eric,
Primes() is using the default _element_constructor_ from the category.
There is no check at all. Actually, it would make sense to add a
containment test at the end of the construction. Something along
def _element_constructor_(self, data):
i = super(self, X)._element_constructor
Hi,
While playing with prime numbers to understand facade sets in Sage, I
noticed the following surprising behavior:
sage: P = Primes() ; P
Set of all prime numbers: 2, 3, 5, 7, ...
sage: P.facade_for()
(Integer Ring,)
sage: P(4)
4
sage: P(4) in P
False
The culprit is _element_constructor_:
s