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- From: Aleksandar Nanevski <aleks.nanevski AT imdea.org>
- To: Adam Chlipala <adamc AT csail.mit.edu>
- Cc: coq-club AT inria.fr
- Subject: Re: [Coq-Club] reasoning out of type equalities
- Date: Sun, 05 Aug 2012 19:48:57 +0200
- Organization: IMDEA Software Institute
On 8/5/12 7:07 PM, Adam Chlipala wrote:
Aleksandar Nanevski wrote:
Indeed, it's that last case:
forall (A1 A2 B : Type), B -> (A1*B = A2*B) -> (A1=A2)
with equality in Prop, that applies to my problem.
It's amusing that I've ran into univalence just by trying to hack up a bit of meta theory for concurrency. I guess I'll now have to read up on it.
In my experience, the need for a theorem like this more commonly indicates that some part of the development should be refactored, rather than the need to delve into some new axioms or whatnot. Could you share more of the context?
Thanks Adam. Indeed, you are right, and I have in fact refactored my development in this case (it would be a bit too long to explain the details now). I was just curious whether it was *necessary*.
Best,
Aleks
- Re: [Coq-Club] reasoning out of type equalities, (continued)
- Re: [Coq-Club] reasoning out of type equalities, Chung-Kil Hur, 08/04/2012
- Re: [Coq-Club] reasoning out of type equalities, Vladimir Voevodsky, 08/04/2012
- Re: [Coq-Club] reasoning out of type equalities, Aleksandar Nanevski, 08/05/2012
- Re: [Coq-Club] reasoning out of type equalities, andré hirschowitz, 08/05/2012
- Re: [Coq-Club] reasoning out of type equalities, Aleksandar Nanevski, 08/05/2012
- Re: [Coq-Club] reasoning out of type equalities, Vladimir Voevodsky, 08/05/2012
- Re: [Coq-Club] reasoning out of type equalities, Aleksandar Nanevski, 08/05/2012
- Re: [Coq-Club] reasoning out of type equalities, Vladimir Voevodsky, 08/05/2012
- Re: [Coq-Club] reasoning out of type equalities, Aleksandar Nanevski, 08/05/2012
- Re: [Coq-Club] reasoning out of type equalities, Adam Chlipala, 08/05/2012
- Re: [Coq-Club] reasoning out of type equalities, Aleksandar Nanevski, 08/05/2012
- Re: [Coq-Club] reasoning out of type equalities, andré hirschowitz, 08/05/2012
- Re: [Coq-Club] reasoning out of type equalities, Vladimir Voevodsky, 08/05/2012
- Re: [Coq-Club] reasoning out of type equalities, Vladimir Voevodsky, 08/06/2012
- Re: [Coq-Club] reasoning out of type equalities, Aleksandar Nanevski, 08/05/2012
- Re: [Coq-Club] reasoning out of type equalities, Vladimir Voevodsky, 08/05/2012
- Re: [Coq-Club] reasoning out of type equalities, Aleksandar Nanevski, 08/05/2012
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