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


Chronological Thread 
  • From: Daniel Schepler <dschepler AT gmail.com>
  • To: Pierre-Marie Pédrot <pierre-marie.pedrot AT inria.fr>
  • Cc: Maxime Dénès <mail AT maximedenes.fr>, Coq Club <coq-club AT inria.fr>
  • Subject: Re: [Coq-Club] Propositional extensionality is inconsistent in Coq
  • Date: Thu, 12 Dec 2013 15:30:31 -0800

The Extensionality_Ensembles axiom in http://coq.inria.fr/distrib/current/stdlib/Coq.Sets.Ensembles.html easily implies propositional extensionality; and I know I used Extensionality_Ensembles a lot in my ZornsLemma and Topology contributions.
--
Daniel Schepler


On Thu, Dec 12, 2013 at 3:23 PM, Pierre-Marie Pédrot <pierre-marie.pedrot AT inria.fr> wrote:
On 12/12/2013 22:41, Maxime Dénès wrote:
> Arthur and I refined Daniel's example to show that Propositional
> Extensionality (even the weaker version of it) as defined in Coq's
> standard library is inconsistent in Coq's current theory:

That's really surprising, to say the least... Is there a lot of
contributions using this axiom in the wild?

PMP





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