Discussion of Homotopy Type Theory and Univalent Foundations
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From: Dan Christensen <jdc@uwo.ca>
To: Homotopy Type Theory <HomotopyTypeTheory@googlegroups.com>
Subject: Re: [HoTT] Syllepsis in HoTT
Date: Mon, 8 Mar 2021 16:25:59 +0000	[thread overview]
Message-ID: <87pn09ipd5.fsf@uwo.ca> (raw)
In-Reply-To: <CAGqv1OAuHQwnZvvDfkM99o6Za=SrjPYO3J62MPMFxphDzVOiEw@mail.gmail.com>	(Egbert Rijke's message of "Mon, 08 Mar 2021 16:46:29 +0100")

On Mar  8, 2021, Egbert Rijke <e.m.rijke@gmail.com> wrote:

> I had a different route in mind, much less efficient. There are three
> kinds of concatenations in the third identity type, all three pairs of
> them satisfy interchange laws, and there is a coherence law between
> the three interchange laws.

In case anyone wants to play with this in Coq, in this branch

  https://github.com/jdchristensen/HoTT/tree/Hurewicz

the file Smashing.v contains similar facts, e.g. pmagma_loops_shuffle.
(But no coherence law is proved.)

Dan

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  parent reply	other threads:[~2021-03-08 16:26 UTC|newest]

Thread overview: 19+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2021-03-05 18:27 Kristina Sojakova
2021-03-05 18:40 ` Jamie Vicary
2021-03-05 19:18   ` Noah Snyder
2021-03-07 18:00 ` Noah Snyder
2021-03-08  8:44   ` Egbert Rijke
2021-03-08  8:53     ` Egbert Rijke
2021-03-08 13:38       ` Noah Snyder
2021-03-08 14:31         ` Kristina Sojakova
2021-03-08 15:10           ` Dan Christensen
2021-03-08 15:15             ` Kristina Sojakova
2021-03-08 15:23               ` Noah Snyder
2021-03-08 15:35                 ` Noah Snyder
2021-03-08 15:46                   ` Egbert Rijke
2021-03-08 15:49                     ` Kristina Sojakova
2021-03-08 16:25                     ` Dan Christensen [this message]
2021-03-08 16:27                       ` Kristina Sojakova
2021-03-08 16:38             ` Kristina Sojakova
2021-03-08 16:54               ` Egbert Rijke
2021-03-08 19:55                 ` 'Favonia' via Homotopy Type Theory

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