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 ✗
|