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[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…
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https://ncatlab.org/nlab/show/sketch "The category of sketches is well behaved: it is complete, cocomplete, cartesian closed and has a second symmetric monoidal closed structure."
Sketches are quit…
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Currently we have: `cartesian_product`, `CartesianProduct` and
`cartesian_product_iterator` for constructing cartesian products.
- `CartesianProduct` is an old simple parent that focuses on the
"…
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## The cd-excision project
### Project description
A **complete cd-structure** consists of a class of **distinguished squares** of maps, i.e., distinguished morphisms in the arrow category, that…
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Categories currently don't carry an explicit notion of equality on objects. This seems to be a "standard" way to mechanize categories constructively (as far as I'm aware), it is in line with the [prin…
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Show that the gluing category is biCCC
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See previous discussion here: https://github.com/drym-org/qi/pull/61
Here are some examples and rules that I believe useful: (from section 6.5.1 of _Category Theory for Computing Science_)
```rack…
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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…
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This is just to get a conversation going—I plan to add examples and detail as I have time.
I often run into types that are almost, but not quite, an `Arrow`—but for the fact that they have no imple…
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Something I've noticed, especially when dealing with limits, colimits and ends is that you occasionally want to state that a particular thing *is* the limit (/colimit/end) of a diagram, instead of mer…