-
implement a number of properties of presheaves category.
presheaves are cartesian categories. if the underlying category is cartesian, presheaves are CCC.
-
TODO:
- Move downset construction out of CCC.lean into its own file
- Clean up proof, creating new lemmas and tactics as appropriate
-
The documentation for `Decidable` states that..
> A Divisible contravariant functor is a monoid object in the category of presheaves from Hask to Hask, equipped with Day convolution mapping the carte…
-
This issue outlines formalization goals for the `category-theory` module.
### Formalization targets
The following list outlines missing formalizations that should be part of any standard library o…
-
The notation $C^{\Delta^{op}}$ would seem to be a functor category $\Delta^{op} \to C$, but this is clearly not what is meant. I
In order to line up the notation of 2.1.10 and 2.4.3, maybe in 2.4.3,…
-
```agda
data Combination : (k n : ℕ) → Set where
end : Combination 0 0
include : Combination k n → Combination (suc k) (suc n)
exclude : Combination k n → Combination k (suc n)
```
There…
-
Having QPA depend on ComplexesCategories causes various issues, e.g. that everything that depends on QPA now also depends on Locales. From a quick local test it looks like this dependency is not used …
-
[Barr-Wells-ctcs.pdf](http://www.math.mcgill.ca/triples/Barr-Wells-ctcs.pdf)
- [ ] 1 Preliminaries 1
- [ ] 1.1 Sets 1
- [ ] 1.2 Functions 3
- [ ] 1.3 Graphs 8
- [ ] 1.4 Homomorphisms of graphs…
-
If schemes are not implemented yet, i wanted to recommend you the reading of Demazure-Gabriel ``groupes algébriques'', because their presentation of schemes should be adapted to a cubical agda impleme…
-
Today I was looking at https://github.com/conal/agda-cat-linear with @conal , and I was working on getting the Nix-based build working. It uses the current master versions of the `standard-library` an…