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- From: Jacques-Henri Jourdan <jacques-henri.jourdan AT inria.fr>
- To: coq-club AT inria.fr
- Subject: Re: [Coq-Club] Optional elim restriction?
- Date: Thu, 10 Mar 2016 18:57:21 +0100
Oh, yes, sure !
In fact, inhabited T -> T is proved by epsilon, if I am not mistaken.
--
JH
Le 10/03/2016 18:11, Pierre-Marie Pédrot a écrit :
> On 10/03/2016 18:09, Jacques-Henri Jourdan wrote:
>> If I remember correctly, this restriction is important to soundness :
>> because Prop is impredicative, we can build a proof of false from
>> inhabited T -> T.
> I'm not sure this is sufficient. IIRC, you need to assume in addition
> that this function is the inverse of the inhabits constructor, otherwise
> you won't be able to do much with this function alone.
>
> PMP
>
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- [Coq-Club] Optional elim restriction?, Ralf Jung, 03/10/2016
- Re: [Coq-Club] Optional elim restriction?, Roger Witte, 03/10/2016
- Re: [Coq-Club] Optional elim restriction?, Ralf Jung, 03/10/2016
- Re: [Coq-Club] Optional elim restriction?, Jacques-Henri Jourdan, 03/10/2016
- Re: [Coq-Club] Optional elim restriction?, Ralf Jung, 03/10/2016
- Re: [Coq-Club] Optional elim restriction?, Jacques-Henri Jourdan, 03/10/2016
- Re: [Coq-Club] Optional elim restriction?, Ralf Jung, 03/10/2016
- Re: [Coq-Club] Optional elim restriction?, Jacques-Henri Jourdan, 03/10/2016
- Re: [Coq-Club] Optional elim restriction?, Pierre-Marie Pédrot, 03/10/2016
- Re: [Coq-Club] Optional elim restriction?, Jacques-Henri Jourdan, 03/10/2016
- Re: [Coq-Club] Optional elim restriction?, Ralf Jung, 03/10/2016
- Re: [Coq-Club] Optional elim restriction?, Jacques-Henri Jourdan, 03/10/2016
- Re: [Coq-Club] Optional elim restriction?, Pierre-Marie Pédrot, 03/10/2016
- Re: [Coq-Club] Optional elim restriction?, Roger Witte, 03/10/2016
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