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Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?


chronological Thread 
  • 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



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