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Re: [Coq-Club] quotients


chronological Thread 
  • From: Daniel Schepler <dschepler AT gmail.com>
  • To: roconnor AT theorem.ca
  • Cc: Carlos Simpson <Carlos.Simpson AT unice.fr>, Victor Porton <porton AT narod.ru>, Thorsten Altenkirch <txa AT cs.nott.ac.uk>, coq-club AT inria.fr
  • Subject: Re: [Coq-Club] quotients
  • Date: Wed, 9 Nov 2011 15:55:04 -0800

On Wed, Nov 9, 2011 at 10:28 AM, <roconnor AT theorem.ca> wrote:
I'm not sure why Schepler suggested that he only used the
Ensembles.Extensionality axiom.  This doesn't appear to be the case to me. I may be misunderstanding something here.

OK, so maybe I didn't enumerate all the necessary axioms.  I was just going from memory and identifying what seemed to me (subjectively) to be the most "objectionable" axioms that I used in that file.  Although, I still considered it to fall short of fully classical reasoning -- it can construct quotients just fine within the sheaves/topos model of type theory.
--
Daniel Schepler




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