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