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- 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
- [Coq-Club] Propositional extensionality is inconsistent in Coq, Maxime Dénès, 12/12/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Pierre-Marie Pédrot, 12/13/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Daniel Schepler, 12/13/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Guillaume Melquiond, 12/13/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Abhishek Anand, 12/13/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Daniel Schepler, 12/13/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Christine Paulin, 12/13/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Pierre Boutillier, 12/13/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Maxime Dénès, 12/13/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Pierre Boutillier, 12/13/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Arnaud Spiwack, 12/13/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Christine Paulin, 12/13/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Arnaud Spiwack, 12/13/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Daniel Schepler, 12/13/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Viktor Vafeiadis, 12/13/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Pierre Boutillier, 12/13/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Abhishek Anand, 12/13/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Guillaume Melquiond, 12/13/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Daniel Schepler, 12/13/2013
- Re: [Coq-Club] Propositional extensionality is inconsistent in Coq, Pierre-Marie Pédrot, 12/13/2013
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