Comments (3)
The latter is in Example 2.8.19.
On Wed, Mar 27, 2013 at 8:53 AM, Daniel R. Grayson <[email protected]
wrote:
The comment
"LEM implies that \emph{any} type
$X$ has \emph{decidable mere equality},
meaning
[\prd{x,y:X} \big(\brck{x=y} + \brck{x\neq y}\big).]"in hlevels.tex might benefit if it were pointed out or proved somewhere
that negation commutes with squashing. Or indeed, that negative statements
are already squashed.—
Reply to this email directly or view it on GitHubhttps://github.com//issues/38
.
from book.
Thanks, I've added a parenthetical reference.
On Wed, Mar 27, 2013 at 8:59 AM, Mike Shulman [email protected]:
The latter is in Example 2.8.19.
On Wed, Mar 27, 2013 at 8:53 AM, Daniel R. Grayson <
[email protected]wrote:
The comment
"LEM implies that \emph{any} type
$X$ has \emph{decidable mere
equality},
meaning
[\prd{x,y:X} \big(\brck{x=y} + \brck{x\neq y}\big).]"in hlevels.tex might benefit if it were pointed out or proved somewhere
that negation commutes with squashing. Or indeed, that negative
statements
are already squashed.—
Reply to this email directly or view it on GitHub<
https://github.com/HoTT/book/issues/38>
.—
Reply to this email directly or view it on GitHubhttps://github.com//issues/38#issuecomment-15521661
.
from book.
closing
from book.
Related Issues (20)
- Rules for universes in Appendix A.2 are incomplete HOT 3
- identity type usage HOT 19
- Augment assumptions for Thm 5.4.4, 5.4.5, and 5.4.7 HOT 19
- Typos in proof of Lemma 10.3.12 HOT 5
- Use parentheses in the proof of Lemma 2.1.4(iii) HOT 3
- Cumulativity of the universe hierarchy HOT 4
- CI problem: "dubious ownership" HOT 1
- Provided Hashes in errata.pdf Not Found HOT 2
- Errata PDF unreadable
- Corollary 8.8.5 HOT 4
- Lemma 8.5.9 is missing a label
- Nightly builds pdfs are dead links HOT 8
- Exercise 7.3 could be made stronger
- Indexing of maps in fiber and exact sequences HOT 3
- proof-theoretic consistency in the introduction HOT 6
- cardinal numbers in the introduction HOT 5
- real numbers in the introduction HOT 7
- Switch to using truncated logic as default in the book HOT 2
- max and sup HOT 9
- Exercise 11.6 seems to need WLPO not LPO HOT 3
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from book.