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- From: Hugo Herbelin <Hugo.Herbelin AT inria.fr>
- To: Georgi Guninski <guninski AT guninski.com>
- Cc: coq-club AT inria.fr
- Subject: Re: [Coq-Club] True:Prop, True:Set and Prop vs Set
- Date: Wed, 6 Jul 2011 15:58:23 +0200
Hi,
> In 8.2 Prop=Set is provable by firstorder. This doesn't work in 8.3.
Well spotted. This is a bug introduced in 8.2, that was fixed for 8.3
but unfortunately not backported to 8.2. We'll do a patch level
release for 8.2 soon to make the fix available.
> Yet all of this are provable in 8.3:
> exists a : Set,a=True:Prop.
> exists a : Prop,a=True:Prop.
> exists! a : Type, a=True:Prop.
>
> Is [Prop=Set] in 8.3 too ?
>
> Definition FA := True:Prop.
>
> Lemma set0: exists a : Set,a=FA.
> eexists. firstorder.
> Qed.
>
> Lemma prop0: exists a : Prop,a=FA.
> eexists. firstorder.
> Qed.
>
> Lemma typeuniq: exists! a : Type, a=FA.
> eexists. firstorder.
> Qed.
These ones are harmless.
Hugo Herbelin
- [Coq-Club] True:Prop, True:Set and Prop vs Set, Georgi Guninski
- Re: [Coq-Club] True:Prop, True:Set and Prop vs Set, Hugo Herbelin
- Re: [Coq-Club] True:Prop, True:Set and Prop vs Set,
Georgi Guninski
- Re: [Coq-Club] True:Prop, True:Set and Prop vs Set, Hugo Herbelin
- Re: [Coq-Club] True:Prop, True:Set and Prop vs Set,
Georgi Guninski
- Re: [Coq-Club] True:Prop, True:Set and Prop vs Set, Hugo Herbelin
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