Comments (5)
Yes, that should be b:A
in that sentence. With that change, I think the proof is correct; all the variables in it range only over elements of A
. It's true that in the definition, b
ranges over elements of B
instead, but I don't know if that's a serious problem?
from book.
Yeah, that part is fine, though I think it would also be cleaner if the double-induction part is removed since it's entirely superfluous (you never use that inner induction hypothesis; even in the dual argument, you still use the first hypothesis).
from book.
Yes, that does seem to be true. It's a bit surprising.
Would you like to submit a pull request?
from book.
I would certainly avoid using b:A, since b:B is already mentioned in the definition. there are enough other letters available ...
: - )
from book.
I can make a PR, though it might be a little bit before I can get around to it.
from book.
Related Issues (20)
- "term" vs "element" HOT 2
- Corollary 2.4.4. (use of naturality and whiskering) HOT 9
- Deducing propositional uniqueness for product types HOT 1
- Clarification of the proof of Lemma 6.2.9. (universal property of the circle) HOT 10
- The Cauchy real numbers satisfy the fundamental theorem of algebra and are not Cauchy complete in the rest of the constructive mathematics literature HOT 9
- Assumption that `A // R` is a set HOT 4
- Rules for universes in Appendix A.2 are incomplete HOT 3
- identity type usage HOT 19
- 自动驾驶更新笔记 Autopilot Updating Notes HOT 1
- Augment assumptions for Thm 5.4.4, 5.4.5, and 5.4.7 HOT 19
- 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
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from book.