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Re: [Coq-Club] Existential instantiation with addition information


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  • From: Jean-Francois Monin <jean-francois.monin AT imag.fr>
  • To: coq-club AT inria.fr
  • Subject: Re: [Coq-Club] Existential instantiation with addition information
  • Date: Fri, 27 Nov 2015 01:23:42 +0800
  • Authentication-results: mail2-smtp-roc.national.inria.fr; spf=None smtp.pra=jean-francois.monin AT imag.fr; spf=Neutral smtp.mailfrom=jean-francois.monin AT imag.fr; spf=None smtp.helo=postmaster AT amazone.ujf-grenoble.fr
  • Ironport-phdr: 9a23:caUogRAdGoUbjruSXDKBUyQJP3N1i/DPJgcQr6AfoPdwSP7+p8bcNUDSrc9gkEXOFd2CrakU1qyG6+uxCSQp2tWojjMrSNR0TRgLiMEbzUQLIfWuLgnFFsPsdDEwB89YVVVorDmROElRH9viNRWJ+iXhpQAbFhi3DwdpPOO9QteU1JTqkbDqsMyDKyxzxxODIppKZC2sqgvQssREyaBDEY0WjiXzn31TZu5NznlpL1/A1zz158O34YIxu38I46FppIZ8VvDxeL19RrhFBhwnNXo07Yvlr0rtVwyKs1kRW2NTvABBBQPC7Qqye5D3sy2y4uhw0S/fM9f/S7szWC/k6qBtSRnAiSIOOHg36jeE2YRLkKtHrUf59FREyInObdTNOQ==

Oh, checking the file, it does not say that the witness
found by linear_search is indeed the minimum -- it is not
needed there. However I remember that it is not a big deal.
And well-foundedness of lt is not needed.

JFM

On Fri, Nov 27, 2015 at 01:07:58AM +0800, Jean-Francois Monin wrote:
> For this case you may find this file interesting:
>
> theories/Logic/ConstructiveEpsilon.v
>
> JFM
>
> On Thu, Nov 26, 2015 at 05:34:25PM +0100, Pierre-Marie Pédrot wrote:
> > On 26/11/2015 17:06, David Asher wrote:
> > > But I need some additional information [ somethig like "~ (exists m,
> > > m < n /\ P m)" ] in the context. Any ideas how to solve this?
> >
> > If P is decidable, you can prove by induction on n that
> >
> > P n -> exists m, P m /\ (forall p, p < m -> ~ P p)
> >
> > PMP



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