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


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  • From: Maxime Dénès <mail AT maximedenes.fr>
  • To: coq-club AT inria.fr
  • Subject: Re: [Coq-Club] Propositional extensionality is inconsistent in Coq
  • Date: Thu, 12 Dec 2013 19:56:33 -0500

Well, yes. I think that was implicit in Daniel's original e-mail. There may be tricky details, though.

Maxime.

On 12/12/2013 07:52 PM, Robbert Krebbers wrote:
On 12/13/2013 10:23 AM, Pierre-Marie Pédrot wrote:
That's really surprising, to say the least... Is there a lot of
contributions using this axiom in the wild?
Cannot we prove

(False -> False) = True

using univalence? In that case, univalence would be inconsistent with the current version of Coq, which would be quite bad.




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