1Lab

A formalised, cross-linked reference resource for mathematics done in Homotopy Type Theory. Unlike the HoTT book, the 1lab is not a “linear” resource: Concepts are presented as a directed graph, with links indicating dependencies.

Building

Building the 1Lab is a rather complicated task, which has led to a lot of homebrew infrastructure being developed for it. We build against a specific build of Agda (see the rev field in support/nix/dep/Agda/github.json), and there are also quite a few external dependencies (e.g. pdftocairo, katex). The recommended way of building the 1Lab is using Nix.

As a quick point of reference, nix-build will type-check and compile the entire thing, and copy the necessary assets (TeX Gyre Pagella and KaTeX's CSS and fonts) to the right locations. The result will be linked as ./result, which can then be used to serve a website:

bash $ nix-build $ python -m http.server --directory result

Note that using Nix to build the website takes around ~20-30 minutes, since it will type-check the entire codebase from scratch every time. For interactive development, nix-shell will give you a shell with everything you need to hack on the 1Lab, including Agda and the pre-built Shakefile as 1lab-shake:

bash $ 1lab-shake all -j

Since nix-shell will load the derivation steps as environment variables, you can use something like this to copy the static assets into place:

bash $ eval "${installPhase}" $ python -m http.server --directory _build/site

To hack on a file continuously, you can use "watch mode", which will attempt to only check and build the changed file.

$ 1lab-shake all -w

Additionally, since the validity of the Agda code is generally upheld by agda-mode, you can use --skip-agda to only build the prose. Note that this will disable checking the integrity of link targets, the translation of `ref`{.Agda} spans, and the code blocks will be right ugly.

Our build tools are routinely built for x86_64-linux and uploaded to Cachix. If you have the Cachix CLI installed, simply run cachix use 1lab. Otherwise, add the following to your Nix configuration:

substituters = https://1lab.cachix.org trusted-public-keys = 1lab.cachix.org-1:eYjd9F9RfibulS4OSFBYeaTMxWojPYLyMqgJHDvG1fs=

Directly

If you're feeling brave, you can try to replicate one of the build environments above. You will need:

• The cabal-install package manager. Using stack is no longer supported.

• A working LaTeX installation (TeXLive, etc) with the packages tikz-cd (depends on pgf), mathpazo, xcolor, preview, and standalone (depends on varwidth and xkeyval);

• Poppler;

• libsass;

• Node + required Node modules. Run npm ci to install those.

You can then use cabal-install to build and run our specific version of Agda and our Shakefile:

```bash $ cabal install Agda -foptimise-heavily

This will take quite a while!

$ cabal v2-run shake -- -j --skip-agda

the double dash separates cabal-install's arguments from our

shakefile's.

```