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[Coq-Club] Impredicative set + function extensionality + proof irrelevance consistent?


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  • From: Kristina Sojakova <sojakova.kristina AT gmail.com>
  • To: coq-club AT inria.fr
  • Subject: [Coq-Club] Impredicative set + function extensionality + proof irrelevance consistent?
  • Date: Tue, 20 Dec 2016 19:32:19 -0500
  • Authentication-results: mail2-smtp-roc.national.inria.fr; spf=None smtp.pra=sojakova.kristina AT gmail.com; spf=Pass smtp.mailfrom=sojakova.kristina AT gmail.com; spf=None smtp.helo=postmaster AT mail-yw0-f178.google.com
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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




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