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- From: Guillaume Melquiond <guillaume.melquiond AT inria.fr>
- To: coq-club AT inria.fr
- Subject: Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?
- Date: Wed, 18 Jan 2017 22:27:20 +0100
On 18/01/2017 17:30, Matej Kosik wrote:
> My question is about weakening (not strengthening)
>
> Prop < Set
>
> to
>
> Prop <= Set
Théo already explained it, so I just want to stress the important part
of his answer. "Prop < Set" does not mean that Prop is of type Set, it
just means that Prop is smaller than Set. In other words, any type of
Prop is a type of Set (but the converse does not hold).
Best regards,
Guillaume
- [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Matej Kosik, 01/18/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Abhishek Anand, 01/18/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Matej Kosik, 01/18/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Matej Kosik, 01/18/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Guillaume Melquiond, 01/18/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Matej Kosik, 01/19/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Théo Zimmermann, 01/19/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Matej Kosik, 01/19/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Maxime Dénès, 01/19/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Matej Kosik, 01/19/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Théo Zimmermann, 01/19/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Matej Kosik, 01/19/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Guillaume Melquiond, 01/19/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Matej Kosik, 01/19/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Guillaume Melquiond, 01/19/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Matej Kosik, 01/19/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Jacques-Henri Jourdan, 01/19/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Guillaume Melquiond, 01/18/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Matej Kosik, 01/18/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Matej Kosik, 01/18/2017
- Re: [Coq-Club] Why do we have "Prop < Set" ? Why not just "Prop ≤ Set" ?, Abhishek Anand, 01/18/2017
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