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- From: Pierre-Yves Strub <pierre-yves AT strub.nu>
- To: <coq-club AT inria.fr>
- Subject: Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?
- Date: Fri, 24 Jun 2011 15:40:19 +0200
You proved:
False -> Q and False -> ~Q
because VAR is discharged when you close the section.
Pierre-Yves.
On Fri, 24 Jun 2011 16:35:43 +0300, Georgi Guninski wrote:
i am somewhat surprised why you don't print False->stuff here:
Section S.
Lemma T : Prop.
exact False.
Defined.
Variable VAR : T.
Lemma L_2: exists a : T, a = VAR.
eexists. instantiate (1:=VAR). reflexivity.
Defined.
Lemma L_1: ~(exists a : T, a = VAR).
change ((exists a : T, a = VAR) -> False); intro H; refine (ex_ind _ H);
clear H; intro x; intro H; auto with *.
Defined.
End S.
- [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?, 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?, 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
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