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I'm designing a week-long class on homotopy type theory for Mathcamp, and in trying to simplify the material, noticed that the essential insight to the proofs of the following two types is exactly the…
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Cubical Agda
https://ift.tt/2BX4f9N
mortberg
Last year I wrote a post about cubicaltt on this blog. Since then there have been a lot of exciting developments in the world of cubes. In particular…
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Now that we have tensor products of abelian groups in #2021, a nice exercise (and something useful for calculations) would be to show that
$$\mathbb{Z}/a\mathbb{Z} \otimes_{\mathbb{Z}} \mathbb{Z}/b…
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So I know there was a discussion a while back #573, about moving some files out of HITs to other places. The way I see it, there are only a few "real" HITs that have to be specified with axioms. These…
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In Coq 8.20, it is expected that https://github.com/coq/coq/pull/18038 will be merged giving us rewrite rules in Coq. From experimentation, it would seem that we should be able to define HITs using th…
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I see. You are interested in the goddess of history, Mnemosyne, who is also the mother of the nine Muses. She is a very important figure in Greek mythology, as she represents the power of memory and r…
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I don't pretend to understand the full set of ramifications of something like this, but am interested in opening a discussion and at least hearing from others. The idea is:
``` julia
Function
```
wo…
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Hello, I just learned about this project and Globular. It's really exciting to see a proof assistant for HoTT!
It would be valuable to see some example proofs for those of us who are coming from a …
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That sounds like a fun and interesting challenge. I'll try to come up with a story for you. Here is what I have so far:
```text
Once upon a time, there was a simple life form that was thrown into exi…
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Comment thread for [Traversable: A Remix](https://duplode.github.io/posts/traversable-a-remix.html).