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- From: Georgi Guninski <guninski AT guninski.com>
- To: "gallais @ ensl.org" <guillaume.allais AT ens-lyon.org>
- Cc: coq-club AT inria.fr
- Subject: Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?
- Date: Thu, 23 Jun 2011 20:12:16 +0300
- Header: best read with a sniffer
On Thu, Jun 23, 2011 at 06:30:43PM +0200, gallais @ ensl.org wrote:
> Hi Georgi,
>
> Your [Theorem T : Prop] proves that [Prop] is inhabited while
> your [Axiom A : T] states that [T] is inhabited.
>
> These statements are not equivalent.
>
> Cheers,
>
Thank you.
Do you mean that if I take theorems as axioms it doesn't matter
what the theorem states (Prop in this case) but how it is proved?
--
joro
- [Coq-Club] Why is it wrong to declare a proven theorem as axiom?, Georgi Guninski
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?,
gallais @ ensl.org
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?, Georgi Guninski
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?, Conor McBride
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?, AUGER Cedric
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?, Pierre Courtieu
- Message not available
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?,
Bruno Barras
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?,
Georgi Guninski
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?, Adam Chlipala
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?,
Pierre-Yves Strub
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?, Pierre-Yves Strub
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?, Daniel Schepler
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?,
Georgi Guninski
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?,
Bruno Barras
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?,
gallais @ ensl.org
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