Discussion of Homotopy Type Theory and Univalent Foundations
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From: andrej.bauer@andrej.com
To: Homotopy Type Theory <HomotopyTypeTheory@googlegroups.com>
Subject: Re: [HoTT] Question about the formal rules of cohesive homotopy type theory
Date: Tue, 15 Nov 2022 23:38:54 +0100	[thread overview]
Message-ID: <D66F4584-A005-4F69-8E75-E976E0FF9957@andrej.com> (raw)
In-Reply-To: <96f15467-49c9-43cc-8868-40b1bdf2162dn@googlegroups.com>

>  Does this also include the structural rules of type theory such as the substitution and weakening rules?

I would just like to point out that substutition and weakening typically are not part of the rules. They are shown to be admissible. In this spirit, the question should have been: what is the precise version of substitution and weakening (which is a special case of substitution) that is admissible in cohesive type theory?

With kind regards,

Andrej

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  parent reply	other threads:[~2022-11-15 22:39 UTC|newest]

Thread overview: 24+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2022-11-11 22:53 Madeleine Birchfield
2022-11-11 23:47 ` Michael Shulman
2022-11-15 22:38 ` andrej.bauer [this message]
2022-11-16  9:52   ` 'Thorsten Altenkirch' via Homotopy Type Theory
2022-11-17 13:36     ` Jon Sterling
2022-11-18  2:35       ` Michael Shulman
2022-11-18  6:19         ` Tom Hirschowitz
2022-11-18 10:58         ` Jon Sterling
2022-11-18 16:16           ` Michael Shulman
2022-11-18 16:22             ` Jon Sterling
2022-11-18 11:35         ` 'Thorsten Altenkirch' via Homotopy Type Theory
2022-11-18 12:47         ` Jon Sterling
2022-11-18 13:05           ` Jon Sterling
2022-11-18 16:25             ` Michael Shulman
2022-11-18 16:38               ` Jon Sterling
2022-11-18 16:56                 ` Michael Shulman
2022-11-18 16:59                   ` Jon Sterling
2022-11-18 17:14                     ` Michael Shulman
2022-12-01 14:40                       ` Andreas Nuyts
2022-12-01 15:54                         ` Jon Sterling
2022-12-01 15:57                           ` Andreas Nuyts
2022-12-01 16:09                             ` Andreas Nuyts
2022-12-01 18:00                         ` Michael Shulman
2022-11-18 14:21     ` andrej.bauer

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