cat/BACKLOG.md

36 lines
739 B
Markdown
Raw Normal View History

2018-02-21 13:06:09 +00:00
Backlog
=======
Prove univalence for various categories
Prove postulates in `Cat.Wishlist`
2018-03-07 23:54:42 +00:00
`propHasLevel` should be in `cubical`
`ntypeCommulative` might be there as well.
Define and use Monad≡
Prove that the opposite category is a category.
Prove univalence for the category of
* sets
* functors and natural transformations
2018-02-24 13:00:52 +00:00
2018-03-08 00:09:40 +00:00
Prove:
* `isProp (Product ...)`
* `isProp (HasProducts ...)`
2018-02-24 13:00:52 +00:00
* Functor ✓
* Applicative Functor ✗
* Lax monoidal functor ✗
* Monoidal functor ✗
* Tensorial strength ✗
* Category ✓
2018-03-07 23:54:42 +00:00
* Monoidal category ✗
* Monad
* Monoidal monad ✓
* Kleisli monad ✓
* Problem 2.3 in voe
* 1st contruction ~ monoidal ✓
* 2nd contruction ~ klesli ✓
* 1st ≃ 2nd ✗