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Re: [Coq-Club] Impredicative set + function extensionality + proof irrelevance consistent?
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- From: roux cody <cody.roux AT gmail.com>
- To: coq-club AT inria.fr
- Subject: Re: [Coq-Club] Impredicative set + function extensionality + proof irrelevance consistent?
- Date: Wed, 21 Dec 2016 10:29:55 -0500
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As a side note, http://cstheory.stackexchange.com is a really appropriate place for these kinds of questions, and Coq-theory/CIC questions would really be appreciated there!
On Wed, Dec 21, 2016 at 9:33 AM, Théo Zimmermann <theo.zimmi AT gmail.com> wrote:
ThéoIf someone has a better answer to that, please answer both here and there.This is a question that came up a short while ago on Stack Overflow as well: http://stackoverflow.com/questions/40395946/compatibility-of-impredicative-set-and-function-extensionalityI talked with Hugo about it who said that it probably is consistent but has not been proved so to his knowledge.Le mer. 21 déc. 2016 à 11:36, Kristina Sojakova <sojakova.kristina AT gmail.com> a écrit :Dear all,
As the subject suggests, I am using Coq with the -impredicative-set flag
and importing modules FunctionalExtensionality and ProofIrrelevance
(both in the subdirectory Logic). Is this theory known to be consistent?
I read the FAQ and there is no mention of it not being consistent but I
would like to know for sure.
Thank you,
Kristina
- [Coq-Club] Impredicative set + function extensionality + proof irrelevance consistent?, Kristina Sojakova, 12/21/2016
- Re: [Coq-Club] Impredicative set + function extensionality + proof irrelevance consistent?, Théo Zimmermann, 12/21/2016
- Re: [Coq-Club] Impredicative set + function extensionality + proof irrelevance consistent?, roux cody, 12/21/2016
- Re: [Coq-Club] Impredicative set + function extensionality + proof irrelevance consistent?, Théo Zimmermann, 12/21/2016
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