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- From: Victor Porton <porton AT narod.ru>
- To: Jesper Louis Andersen <jesper.louis.andersen AT gmail.com>
- Cc: Coq Club <coq-club AT inria.fr>
- Subject: Re: [Coq-Club] Take a proof of a true proposition
- Date: Wed, 23 Nov 2011 23:12:07 +0400
- Envelope-from: porton AT yandex.ru
Jesper,
23.11.2011, 23:03, "Jesper Louis Andersen"
<jesper.louis.andersen AT gmail.com>:
> On Wed, Nov 23, 2011 at 19:56, Victor Porton
>
>> šTheorem t: True.
>
> This is much easier to solve than you think:
You've misunderstood my question. My question is not how to prove [True], but
how in a proof context to take an arbitrary proof of some proposition known
to be true.
I used [Theorem True.] just as an example to set a proof context.
> Print I.
>
> Theorem t : True.
> ššexact I.
> Qed.
>
> True is constructed as an inductive type with only one inhabitant, I.
> Thus, if we want to prove True, we can just provide I since it is a
> construction of the sole True value.
>
> Note that in Coq, unlike mathematics, there are several ways to
> express something being "True". This is, among other things, to avoid
> hitting into Goedel, halting theorems, computability limitations and
> so on. Others can describe this way better than I.
>
> --
> J.
--
Victor Porton - http://portonvictor.org
- [Coq-Club] Take a proof of a true proposition, Victor Porton
- Re: [Coq-Club] Take a proof of a true proposition,
Jesper Louis Andersen
- Re: [Coq-Club] Take a proof of a true proposition, Victor Porton
- Re: [Coq-Club] Take a proof of a true proposition, Pierre Casteran
- Re: [Coq-Club] Take a proof of a true proposition, Victor Porton
- Re: [Coq-Club] Take a proof of a true proposition,
David Pichardie
- Re: [Coq-Club] Take a proof of a true proposition,
Victor Porton
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- Re: [Coq-Club] Take a proof of a true proposition, Victor Porton
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- Re: [Coq-Club] Take a proof of a true proposition,
Victor Porton
- <Possible follow-ups>
- [Coq-Club] Take a proof of a true proposition, Victor Porton
- Re: [Coq-Club] Take a proof of a true proposition,
Jesper Louis Andersen
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