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I'm new to using Coq. I managed to build the HoTT library as explained in INSTALL.txt, but am having trouble using hoqc to make the libraries available here:
http://coq.inria.fr/V8.2pl1/contribs/byc…
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- _MEETUP:_ http://www.meetup.com/Papers-We-Love-Boston/events/203312152/
- _PAPER:_ https://github.com/michaelt/martin-lof/blob/master/pdfs/Meanings-of-the-Logical-Constants-1983.pdf?raw=true
- _SLID…
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Continuing from @mikeshulman's https://github.com/HoTT/HoTT/pull/451#issuecomment-54104523:
> I don't understand why we are so cavalier about replacing a tactic that's used throughout the library by …
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Commit d238e03e3eb is on top of PR #470. It causes compilation to fail in `Pushout.v` with the error
```
File "./theories/hit/Pushout.v", line 77, characters 2-51:
Error:
Cannot infer an internal pl…
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The last sentence of the first paragraph of the Notes to Chapter 2 says:
"One may argue, however, that homotopy type theory is in another sense
more “extensional” than traditional extensional type the…
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_From [guillaum...@gmail.com](https://code.google.com/u/108778870768167483083/) on April 09, 2013 23:03:14_
Right now the symbol = is used for definitions which make it unavailable to denote proposit…
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It seems that Lemma 2.10.5 holds (with the same proof) in the stronger formulation:
transport^B(p,-) = idtoeqv (ap_B(p))
Function extensionality would not be required for this. Is there any specific…
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Chapter 2 -- Homotopy type theory -- defines homotopy between paths p and q as a continuous map f from [0, 1] × [0, 1] to a space X such that f(0,-) = p and f(1,-) = q.
This definition misses the ver…
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I'm really confused. I've read the first five chapters of the HoTT book and I still don't understand why path induction works.
I've come to the following conclusions about HoTT and type theory in ge…