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- From: Andrés Sicard-Ramírez <asr AT eafit.edu.co>
- To: coq-club <coq-club AT inria.fr>
- Subject: Re: [Coq-Club] Strictly positive inductive types
- Date: Fri, 5 Sep 2014 06:15:07 -0500
On 4 September 2014 19:47, Daniel Schepler
<dschepler AT gmail.com>
wrote:
>> In p. 60, Coquand and Paulin wrote:
>>
>> Proposition: For any type A, there cannot be an intensional injection
>>
>> ((A → Prop) → Prop) → A.
>>
>> Proof: For any type X there is an intensional injection
>>
>> X → (X → Prop)
>>
>> which is ... Hence, by composition, we get an intensional injection
>>
>> f : (A → Prop) → A.
>>
>> Question: How I get the function f?
>
> Set X := (A -> Prop)?
Of course. Thanks!
--
Andrés
- Re: [Coq-Club] Strictly positive inductive types, Frédéric Blanqui, 09/04/2014
- Re: [Coq-Club] Strictly positive inductive types, Maxime Dénès, 09/04/2014
- Re: [Coq-Club] Strictly positive inductive types, Ralph Matthes, 09/04/2014
- Re: [Coq-Club] Strictly positive inductive types, Randy Pollack, 09/04/2014
- Re: [Coq-Club] Strictly positive inductive types, Ralph Matthes, 09/04/2014
- Re: [Coq-Club] Strictly positive inductive types, Randy Pollack, 09/04/2014
- Re: [Coq-Club] Strictly positive inductive types, Ralph Matthes, 09/04/2014
- Re: [Coq-Club] Strictly positive inductive types, Thorsten Altenkirch, 09/04/2014
- Re: [Coq-Club] Strictly positive inductive types, Andrés Sicard-Ramírez, 09/05/2014
- Re: [Coq-Club] Strictly positive inductive types, Daniel Schepler, 09/05/2014
- Re: [Coq-Club] Strictly positive inductive types, Andrés Sicard-Ramírez, 09/05/2014
- Re: [Coq-Club] Strictly positive inductive types, Daniel Schepler, 09/05/2014
- <Possible follow-up(s)>
- Re: [Coq-Club] Strictly positive inductive types, J. Ian Johnson, 09/04/2014
- Re: [Coq-Club] Strictly positive inductive types, Maxime Dénès, 09/04/2014
- Re: [Coq-Club] Strictly positive inductive types, J. Ian Johnson, 09/04/2014
- Re: [Coq-Club] Strictly positive inductive types, Thorsten Altenkirch, 09/05/2014
- Re: [Coq-Club] Strictly positive inductive types, Dan Doel, 09/05/2014
- Re: [Coq-Club] Strictly positive inductive types, Thorsten Altenkirch, 09/05/2014
- Re: [Coq-Club] Strictly positive inductive types, Maxime Dénès, 09/04/2014
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