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[Coq-Club] (A : Ens) ~(empty A) -> (EXT a : Ens | (IN a A))


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  • From: "Lukasz Stafiniak" <l_stafiniak AT hoga.pl>
  • To: <coq-club AT pauillac.inria.fr>
  • Subject: [Coq-Club] (A : Ens) ~(empty A) -> (EXT a : Ens | (IN a A))
  • Date: Fri, 22 Aug 2003 22:55:12 +0200
  • Importance: normal
  • List-archive: <http://pauillac.inria.fr/pipermail/coq-club/>
  • Priority: normal

Hi,

What about the above supposition?
Is it a safe axiom on the ground of Benjamin Werner's ZF?
(I don't know if I remember well the name -- I mean the ZF contribution.)
Perhaps it is derivable from some more general axiom?
(Excluded middle seems too weak (perhaps not?); think a minute -- is excl.
middle for predicates over Ens a consequence of this axiom?)

What is the best way to develop classical mathematics in Coq?

Thank You in advance,
Kindest Regards,
Lukasz




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