From: Felix Rech <s9ferech@gmail.com>
To: Homotopy Type Theory <HomotopyTypeTheory@googlegroups.com>
Subject: [HoTT] Re: Why do we need judgmental equality?
Date: Sat, 9 Feb 2019 03:55:55 -0800 (PST) [thread overview]
Message-ID: <f171bede-3654-4887-b909-afff31f8718f@googlegroups.com> (raw)
In-Reply-To: <26028d40-d53c-48d0-a889-4b57fdb77e42@googlegroups.com>
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On Wednesday, 6 February 2019 05:13:35 UTC+1, Anders Mörtberg wrote:
>
> Consider the interval HIT, it is contractible and hence equivalent to
> Unit. But it also lets you prove function extensionallity which you
> definitely don't get from the Unit type.
>
I have the feeling that function extensionality is special in the sense
that the proof that I know of, as well as that of function extensionality
in ETT, relies on the fact that we can replace judgmentally equal terms
under lambdas, which is like function extensionality for judgmental
equality.
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next prev parent reply other threads:[~2019-02-09 11:55 UTC|newest]
Thread overview: 71+ messages / expand[flat|nested] mbox.gz Atom feed top
2019-01-30 11:54 [HoTT] " Felix Rech
2019-02-05 23:00 ` [HoTT] " Matt Oliveri
2019-02-06 4:13 ` Anders Mörtberg
2019-02-09 11:55 ` Felix Rech [this message]
2019-02-16 15:59 ` Thorsten Altenkirch
2019-02-17 1:25 ` Michael Shulman
2019-02-17 7:56 ` Thorsten Altenkirch
2019-02-17 9:14 ` Matt Oliveri
2019-02-17 9:18 ` Michael Shulman
2019-02-17 10:52 ` Thorsten Altenkirch
2019-02-17 11:35 ` streicher
2019-02-17 11:44 ` Thorsten Altenkirch
2019-02-17 14:24 ` Bas Spitters
2019-02-17 19:36 ` Thomas Streicher
2019-02-17 21:41 ` Thorsten Altenkirch
2019-02-17 12:08 ` Matt Oliveri
2019-02-17 12:13 ` Matt Oliveri
2019-02-20 0:22 ` Michael Shulman
2019-02-17 14:22 ` [Agda] " Andreas Abel
2019-02-17 9:05 ` Matt Oliveri
2019-02-17 13:29 ` Nicolai Kraus
2019-02-08 21:19 ` Martín Hötzel Escardó
2019-02-08 23:31 ` Valery Isaev
2019-02-09 1:41 ` Nicolai Kraus
2019-02-09 8:04 ` Valery Isaev
2019-02-09 1:58 ` Jon Sterling
2019-02-09 8:16 ` Valery Isaev
2019-02-09 1:30 ` Nicolai Kraus
2019-02-09 11:38 ` Thomas Streicher
2019-02-09 13:29 ` Thorsten Altenkirch
2019-02-09 13:40 ` Théo Winterhalter
2019-02-09 11:57 ` Felix Rech
2019-02-09 12:39 ` Martín Hötzel Escardó
2019-02-11 6:58 ` Matt Oliveri
2019-02-18 17:37 ` Martín Hötzel Escardó
2019-02-18 19:22 ` Licata, Dan
2019-02-18 20:23 ` Martín Hötzel Escardó
2019-02-09 11:53 ` Felix Rech
2019-02-09 14:04 ` Nicolai Kraus
2019-02-09 14:26 ` Gabriel Scherer
2019-02-09 14:44 ` Jon Sterling
2019-02-09 20:34 ` Michael Shulman
2019-02-11 12:17 ` Matt Oliveri
2019-02-11 13:04 ` Michael Shulman
2019-02-11 15:09 ` Matt Oliveri
2019-02-11 17:20 ` Michael Shulman
2019-02-11 18:17 ` Thorsten Altenkirch
2019-02-11 18:45 ` Alexander Kurz
2019-02-11 22:58 ` Thorsten Altenkirch
2019-02-12 2:09 ` Jacques Carette
2019-02-12 11:03 ` Matt Oliveri
2019-02-12 15:36 ` Thorsten Altenkirch
2019-02-12 15:59 ` Matt Oliveri
2019-02-11 19:27 ` Matt Oliveri
2019-02-11 21:49 ` Michael Shulman
2019-02-12 9:01 ` Matt Oliveri
2019-02-12 17:54 ` Michael Shulman
2019-02-13 6:37 ` Matt Oliveri
2019-02-13 10:01 ` Ansten Mørch Klev
2019-02-11 20:11 ` Matt Oliveri
2019-02-11 8:23 ` Matt Oliveri
2019-02-11 13:03 ` Jon Sterling
2019-02-11 13:22 ` Matt Oliveri
2019-02-11 13:37 ` Jon Sterling
2019-02-11 6:51 ` Matt Oliveri
2019-02-09 12:30 ` [HoTT] " Thorsten Altenkirch
2019-02-11 7:01 ` Matt Oliveri
2019-02-11 8:04 ` Valery Isaev
2019-02-11 8:28 ` Matt Oliveri
2019-02-11 8:37 ` Matt Oliveri
2019-02-11 9:32 ` Rafaël Bocquet
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