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- From: Adam Chlipala <adamc AT csail.mit.edu>
- To: Wolfram Kahl <kahl AT cas.mcmaster.ca>
- Cc: coq-club AT inria.fr
- Subject: Re: [Coq-Club] How to make Coq ``see'' emptyness of inductively defined Props?
- Date: Mon, 23 Jul 2012 10:37:01 -0400
On 07/23/2012 10:35 AM, Adam Chlipala wrote:
It's a good thing that Coq rejects this definition, since _any_ definition of [IsSome_extract] would be breaking basic rules about what [Prop] means, and could even lead to logical inconsistency! ;)
A type in [Prop] is meant to have no computational content, and yet here you are trying to extract a potentially computational value out of one of these.
Thinking about this more, I see that you were _trying_ to write the definition differently, to avoid this problem. Sorry for the confusion.
- [Coq-Club] How to make Coq ``see'' emptyness of inductively defined Props?, Wolfram Kahl, 07/23/2012
- Re: [Coq-Club] How to make Coq ``see'' emptyness of inductively defined Props?, Adam Chlipala, 07/23/2012
- Re: [Coq-Club] How to make Coq ``see'' emptyness of inductively defined Props?, Adam Chlipala, 07/23/2012
- Re: [Coq-Club] How to make Coq ``see'' emptyness of inductively defined Props?, Adam Chlipala, 07/23/2012
- Re: [Coq-Club] How to make Coq ``see'' emptyness of inductively defined Props?, gallais @ ensl.org, 07/23/2012
- Re: [Coq-Club] How to make Coq ``see'' emptyness of inductively defined Props?, Wolfram Kahl, 07/23/2012
- Re: [Coq-Club] How to make Coq ``see'' emptyness of inductively defined Props?, Adam Chlipala, 07/23/2012
- Re: [Coq-Club] How to make Coq ``see'' emptyness of inductively defined Props?, Wolfram Kahl, 07/23/2012
- Re: [Coq-Club] How to make Coq ``see'' emptyness of inductively defined Props?, gallais @ ensl.org, 07/23/2012
- Re: [Coq-Club] How to make Coq ``see'' emptyness of inductively defined Props?, Wolfram Kahl, 07/23/2012
- Re: [Coq-Club] How to make Coq ``see'' emptyness of inductively defined Props?, gallais @ ensl.org, 07/23/2012
- Re: [Coq-Club] How to make Coq ``see'' emptyness of inductively defined Props?, Paolo Herms, 07/23/2012
- Re: [Coq-Club] How to make Coq ``see'' emptyness of inductively defined Props?, Adam Chlipala, 07/23/2012
- Re: [Coq-Club] How to make Coq ``see'' emptyness of inductively defined Props?, Wolfram Kahl, 07/23/2012
- Re: [Coq-Club] How to make Coq ``see'' emptyness of inductively defined Props?, Adam Chlipala, 07/23/2012
- Re: [Coq-Club] How to make Coq ``see'' emptyness of inductively defined Props?, Wolfram Kahl, 07/23/2012
- Re: [Coq-Club] How to make Coq ``see'' emptyness of inductively defined Props?, Adam Chlipala, 07/23/2012
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