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- From: muad <muad.dib.space AT gmail.com>
- To: coq-club AT pauillac.inria.fr
- Subject: Re: [Coq-Club] Mixing induction and coinduction
- Date: Thu, 27 Aug 2009 12:56:12 -0700 (PDT)
- List-archive: <http://pauillac.inria.fr/pipermail/coq-club/>
Taral wrote:
>
> On Thu, Aug 27, 2009 at 7:54 AM, Celia
> Picard<celia.picard AT irit.fr>
> wrote:
>> (* By the way, we have a proof of injectivity of Fin that looks a bit
>> complicated.
>> Is there a well-known (easier) proof of Fin n = Fin m -> n = m ? *)
>
> Not really. Any such proof of type equivalence would necessarily
> involve proving things about the cardinality of Fin n and Fin m by
> example.
>
> --
> Taral
> <taralx AT gmail.com>
> "Please let me know if there's any further trouble I can give you."
> -- Unknown
>
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>
My proof of this Fin injectivity is the culmination of about 500 line script
using pigeonhole principle, I assume you have something similar?
--
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- [Coq-Club] Mixing induction and coinduction, Edsko de Vries
- Re: [Coq-Club] Mixing induction and coinduction,
Ekaterina Komendantskaya
- Re: [Coq-Club] Mixing induction and coinduction, Nils Anders Danielsson
- Re: [Coq-Club] Mixing induction and coinduction,
Celia Picard
- Re: [Coq-Club] Mixing induction and coinduction,
Taral
- Re: [Coq-Club] Mixing induction and coinduction, muad
- Re: [Coq-Club] Mixing induction and coinduction,
Taral
- Re: [Coq-Club] Mixing induction and coinduction,
Ekaterina Komendantskaya
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