Discussion of Homotopy Type Theory and Univalent Foundations
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From: Kristina Sojakova <sojakova.kristina@gmail.com>
To: homotopytypetheory@googlegroups.com
Subject: [HoTT] Syllepsis in HoTT
Date: Fri, 5 Mar 2021 19:27:24 +0100	[thread overview]
Message-ID: <0aa0d354-7588-0516-591f-94ad920e1559@gmail.com> (raw)

Dear all,

Ali told me that apparently the following problem could be of interest 
to some people (https://www.youtube.com/watch?v=TSCggv_YE7M&t=4350s):

Given two higher paths p, q : 1_x = 1_x, Eckmann-Hilton gives us a path 
EH(p,q) : p @ = q @ p. Show that EH(p,q) @ EH(q,p) = 1_{p@q=q_p}.

I just established the above in HoTT and am thinking of formalizing it, 
unless someone already did it.

Thanks,

Kristina

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             reply	other threads:[~2021-03-05 18:27 UTC|newest]

Thread overview: 19+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2021-03-05 18:27 Kristina Sojakova [this message]
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
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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