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- From: Jonathan <jonikelee AT gmail.com>
- To: coq-club AT inria.fr
- Subject: Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.)
- Date: Thu, 24 Jul 2014 14:49:34 -0400
On 07/24/2014 02:38 PM, Jason Gross wrote:
proof_admitted is just a proof of [False] that is used to implement the
[admit] tactic. You can only use it to get around "Instance is not
well-typed" when your instance came from [admit]; in this case, you're
essentially just running [admit] again.
Ok - doing this more better:
Goal exists n, n=0.
refine (ex_intro _ _ _).
assert {m:nat|m=0} as H by (eexists;reflexivity).
destruct H as [x H].
exact x.
Makes the remaining goal:
============================
(fun H : {m : nat | m = 0} => let (x, _) := H in x)
(exist (fun m : nat => m = 0) 0 eq_refl) = 0
Which is solvable by reflexivity (because hnf or cbv beta iota makes it 0=0).
Interesting...
Can one transform an existing evar into such a thing? Or only those introduced by refine?
-- Jonathan
- Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.), (continued)
- Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.), Arnaud Spiwack, 07/24/2014
- Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.), Jonathan, 07/24/2014
- Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.), Arnaud Spiwack, 07/24/2014
- Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.), Jonathan, 07/24/2014
- Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.), Arnaud Spiwack, 07/24/2014
- Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.), Jonathan, 07/24/2014
- Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.), Jason Gross, 07/24/2014
- Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.), Jonathan, 07/24/2014
- Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.), Jonathan, 07/24/2014
- Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.), Jason Gross, 07/24/2014
- Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.), Jonathan, 07/24/2014
- Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.), Arnaud Spiwack, 07/25/2014
- Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.), Jason Gross, 07/25/2014
- Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.), Arnaud Spiwack, 07/25/2014
- Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.), Jason Gross, 07/25/2014
- Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.), Arnaud Spiwack, 07/25/2014
- Re: [Coq-Club] Prop smuggling (was: Re: Smart case analysis in Coq.), Jason Gross, 07/25/2014
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