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Re: [Coq-Club] Proof irrelevant Specif?

From: e+coq-club AT x80.org (Emilio Jesús Gallego Arias)
To: Fred Smith <fsmith1024 AT gmail.com>
Cc: coq-club AT inria.fr
Subject: Re: [Coq-Club] Proof irrelevant Specif?
Date: Sat, 28 May 2016 10:57:54 +0200
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Organization: X80 Heavy Industries

Fred Smith
<fsmith1024 AT gmail.com>
writes:

> I wanted to define a small range of numbers and thought this would be a
> clean solution:

By the way, ordinals (Fin.t or 'I_n in mathcomp) provide exactly an
already-built solution for this use case.

'I_n is indeed defined as:

'I_n := { x : nat | x < n }

and math-comp provides an extensive theory about them, see:
http://math-comp.github.io/math-comp/htmldoc/mathcomp.ssreflect.fintype.html

Best regards,
E.

[Coq-Club] Proof irrelevant Specif?, Fred Smith, 05/28/2016
- Re: [Coq-Club] Proof irrelevant Specif?, Robbert Krebbers, 05/28/2016
- Re: [Coq-Club] Proof irrelevant Specif?, Emilio Jesús Gallego Arias, 05/28/2016
- Re: [Coq-Club] Proof irrelevant Specif?, Emilio Jesús Gallego Arias, 05/28/2016
  - Re: [Coq-Club] Proof irrelevant Specif?, Fred Smith, 05/28/2016
    - Re: [Coq-Club] Proof irrelevant Specif?, Emilio Jesús Gallego Arias, 05/28/2016