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Impredicativity of hProp about book HOT 3 CLOSED

hott avatar hott commented on June 24, 2024
Impredicativity of hProp

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Comments (3)

spitters avatar spitters commented on June 24, 2024

What is currently the best source for the resizing rules:
http://uf-ias-2012.wikispaces.com/file/view/Universe+polymorphic+type+sytem.pdf
or perhaps
http://www.math.ias.edu/~vladimir/Site3/Univalent_Foundations_files/2011_Bergen.pdf

Bas

On Fri, Mar 8, 2013 at 1:27 PM, Mike Shulman [email protected]:

The axiom of impredicativity of hProp needs to be discussed somewhere,
probably in 2.8. I think chapter 9 implicitly assumes this, but is it used
anywhere else?


Reply to this email directly or view it on GitHubhttps://github.com//issues/8
.

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vladimirias avatar vladimirias commented on June 24, 2024

Probably also the slides for my talk at Joyal's conference (HTS_slides.pdf in the wiki). V.

On Mar 8, 2013, at 2:40 PM, spitters wrote:

What is currently the best source for the resizing rules:
http://uf-ias-2012.wikispaces.com/file/view/Universe+polymorphic+type+sytem.pdf
or perhaps
http://www.math.ias.edu/~vladimir/Site3/Univalent_Foundations_files/2011_Bergen.pdf

Bas

On Fri, Mar 8, 2013 at 1:27 PM, Mike Shulman [email protected]:

The axiom of impredicativity of hProp needs to be discussed somewhere,
probably in 2.8. I think chapter 9 implicitly assumes this, but is it used
anywhere else?


Reply to this email directly or view it on GitHubhttps://github.com//issues/8
.


Reply to this email directly or view it on GitHub.

from book.

andrejbauer avatar andrejbauer commented on June 24, 2024

Thorsten pointed out to me over tea that excluded middle for hprop implies impredicativity (because hprop becomes "equivalent" to bool). We should presumably mention this, too.

from book.

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