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Re: [Coq-Club] Propositional extensionality is inconsistent in Coq


Chronological Thread 
  • From: Guillaume Melquiond <guillaume.melquiond AT inria.fr>
  • To: coq-club AT inria.fr
  • Subject: Re: [Coq-Club] Propositional extensionality is inconsistent in Coq
  • Date: Fri, 13 Dec 2013 00:45:07 +0100

On 13/12/2013 00:30, Daniel Schepler wrote:
The Extensionality_Ensembles axiom in
http://coq.inria.fr/distrib/current/stdlib/Coq.Sets.Ensembles.html
easily implies propositional extensionality

In a similar way, propositional extensionality was used to prove the consistency of the set theory of Why3. And my email would be incomplete if I didn't quote the comment accompanying that Coq proof: "it is folklore that the two together are consistent". Famous last words...

Best regards,

Guillaume



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