HarrisonGrodin / 1lab

A formalised, cross-linked reference resource for mathematics done in Homotopy Type Theory

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

Here's how you can build --- and work on --- the web parts of the 1lab.

Using Docker

A Docker container is provided which contains all the dependencies necessary for building the 1lab, including the font files required for a complete deployment. Since this container is on the registry, we can do a one-line build of the 1Lab as follows:

% docker run -it -v $PWD:/workspace docker.io/pltamy/1lab:latest /bin/sh -i
$ 1lab-shake all -j    # build everything
$ support/make-site.sh # copy everything into place

After this, the directory _build/site will have everything in place for use as the HTTP root of a static site to serve the 1Lab, for example using the Python distribution that the container ships with:

$ python -m http.server --directory _build/site

Using Nix

If you run NixOS, or have the Nix package manager installed, you can use the provided default.nix file to build a complete, reproducible deployment of the 1Lab. This has the benefit of also providing nix-shell support for immediately setting up an environment for development which supports compilation of the HTML and SVG files, in addition to the Agda.

To speed things up (for example, to avoid building Agda), you can use the 1Lab's binary cache. 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=

You can then use Nix to compile the project as usual. 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 css/fonts) to the right locations. The result will be linked as ./result, which can then be used to serve a website:

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

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:

$ 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:

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

Directly

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

• A Haskell package manager (either cabal or stack);

• 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 (for pdftocairo);

• libsass (for sassc);

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

• If you're using Stack, that's all. If using cabal-install, you're going to need the packages list support/shake/1lab-shake.cabal.

If everything is set up properly, the following command should work to produce the compiled HTML, SVG and CSS files in _build/html. You can then follow either the support/make-site.sh script or the installPhase in default.nix to work out how to acquire & set up the rest of the static assets.

$ stack run -- shake -j all    # (using stack)
$ runghc ./Shakefile.hs all -j # (using cabal-install)