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Re: [Coq-Club] π>e

From: Abhishek Anand <abhishek.anand.iitg AT gmail.com>
To: coq-club <coq-club AT inria.fr>
Subject: Re: [Coq-Club] π>e
Date: Sat, 23 Oct 2021 22:02:11 -0700
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for any 2 closed, computable real numbers r1 r2, r1>r2 can be proved automatically if it is true: just compute enough "digits" of r1 and r2, as Agnishom suggests. \pi and e are computable and are already defined in the CORN library in a computable ("constructive") way that lets you COMPUTE arbitrarily tight Q approximations to them.

https://github.com/coq-community/corn/blob/master/reals/fast/CRpi.v

https://github.com/coq-community/corn/blob/master/reals/fast/CRexp.v

-- Abhishek

http://www.cs.cornell.edu/~aa755/

On Fri, Oct 22, 2021 at 11:44 AM Alex Shkotin <alex.shkotin AT gmail.com> wrote:

Hi All!

How in Coq define π and e and prove that π>e?

Alex

[Coq-Club] π>e, Alex Shkotin, 10/22/2021
- Re: [Coq-Club] π>e, Agnishom Chattopadhyay, 10/22/2021
  - Re: [Coq-Club] π>e, TJ Machado, 10/22/2021
  - Re: [Coq-Club] π>e, Alex Shkotin, 10/24/2021
- Re: [Coq-Club] π>e, Abhishek Anand, 10/24/2021
  - Re: [Coq-Club] π>e, Alex Shkotin, 10/24/2021
    - Re: [Coq-Club] π>e, Agnishom Chattopadhyay, 10/25/2021
      - Re: [Coq-Club] π>e, Alex Shkotin, 10/25/2021
      - Re: [Coq-Club] π>e, Alex Shkotin, 10/25/2021
        
        Re: [Coq-Club] π>e, Agnishom Chattopadhyay, 10/25/2021
        
        Re: [Coq-Club] π>e, Alex Shkotin, 10/25/2021