HoTT Cheatsheets

A pocket-sized companion for reading the HoTT Book. Each cheatsheet condenses a chapter into a dense, printable reference sheet.

Cheatsheets

Chapter	PDF
All-in-one	hott-all.pdf
Basics (Ch. 2)	hott-basics.pdf
Sets and Logic (Ch. 3)	hott-logic.pdf
Equivalences (Ch. 4)	hott-equivalences.pdf
Categories (Ch. 9)	hott-categories.pdf
Formal Type Theory (Appendix)	hott-formal.pdf

Building locally

Requirements: TeX Live (2020+), latexmk, ghostscript (for thumbnails).

With just:

just          # build PDFs and thumbnails
just pdfs     # build PDFs only
just clean    # remove all build artifacts
just watch    # rebuild on file changes (requires fswatch)

Or directly:

latexmk -cd -f -pdf -interaction=nonstopmode -output-directory=./../docs src/hott-all.tex

Contributing

All changes go through pull requests. The main branch is protected — CI must pass before merging. Each PR automatically builds the PDFs and uploads them as downloadable artifacts (kept for 14 days).

About hott.sty

The custom style file src/hott.sty is based on macros.tex from the HoTT/book LaTeX sources. The upstream file has been essentially frozen since 2015, and our copy is a faithful mirror with adaptations for the cheatsheet format (narrow-column layout macros, compact spacing).

License

Creative Commons Attribution-ShareAlike 3.0 Unported — same as the HoTT Book.

References

The Univalent Foundations Program. Homotopy Type Theory: Univalent Foundations of Mathematics. Institute for Advanced Study, 2013. homotopytypetheory.org/book — LaTeX sources: HoTT/book