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- From: Paolo Herms <paolo.herms AT inria.fr>
- To: coq-club AT inria.fr
- Subject: Re: [Coq-Club] equality of dependent pairs
- Date: Thu, 3 Feb 2011 14:19:49 +0100
Actually I think this is a bug of the injection tactic, so you may want to
file
a bug report.
--
Paolo Herms
PhD Student - CEA-LIST Software Safety Lab. / INRIA ProVal Project
Paris, France
On Thursday 03 February 2011 10:02:52
ruy.leywild AT imdea.org
wrote:
> Hi all, in the following example I want to prove injectivity of a
> dependent pair. Below, inj has an explicit type parameter whereas inj'
> assumes the variables have type unit. In v8.2pl1 both proofs work; but in
> higher versions (v8.2pl2, v8.3, and v8.3pl1) the first works but the
> latter fails(!). My current workaround is to use inj to prove inj', but
> I'd rather prove it directly if possible. Any suggestions?
>
> Thanks, Ruy.
>
>
> Require Import Eqdep.
> Set Implicit Arguments.
>
> Record dynamic : Type := dyn {typ : Type; val : typ}.
>
> Lemma inj A (x y : A) : dyn x = dyn y -> x = y.
> Proof. intros A x y H; injection H; apply inj_pairT2. Qed.
>
> Lemma inj' (x y : unit) : dyn x = dyn y -> x = y.
> Proof. intros x y H; injection H; apply inj_pairT2. Qed.
>
> > intros x y H; injection H; apply inj_pairT2.
> >
> > ^^^^^^^^^^^
>
> Error: Failed to decompose the equality.
- [Coq-Club] equality of dependent pairs, ruy . leywild
- Re: [Coq-Club] equality of dependent pairs, AUGER Cedric
- <Possible follow-ups>
- Re: [Coq-Club] equality of dependent pairs, Paolo Herms
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