[{"data":1,"prerenderedAt":4},["ShallowReactive",2],{"r7u99ZnHyb":3},"## A\u003Csub>∞\u003C/sub> Categories in Lean\n\n*Marco David, Jason Dong, Hallvard Hareide, Jasper van de Kreeke, Lillian Liu, Justin Mu, Zhan Shi, Niels Voss, Annie Yao*\n\nRepository for the formalization of $$A_\\infty$$ category theory in Lean, a research project run at UC Berkeley.\n\nCheck out the [**blueprint homepage**](https://marcodavid.net/A∞/) for this project.\n\n### Repository structure\n\nThe Lean sources are split into four Lake libraries. Each has a root file\n(`Util.lean`, `ComputableCochainComplex.lean`, `AInfinity.lean`, `KLRW.lean`) that imports every\nfile in the corresponding folder; these root files are generated by `lake exe mk_all`\nand checked in CI, so rerun that command after adding a file.\n\n| Folder | Contents |\n| --- | --- |\n| `Util/` | Contains a `Texify` class and the `#texify` command for rendering terms as LaTeX. |\n| `ComputableCochainComplex/` | Computable categorical constructions: explicit biproducts and zero objects, the computable additive completion `CMat_`, and bounded cochain complexes. |\n| `AInfinity/` | Gradings and their homomorphisms, graded linear maps, graded linear quivers, the Stasheff identities, A∞-categories, A∞-categories with vanishing higher operations, DG and linear categories as A∞-categories, A∞-functors. |\n| `KLRW/` | KLRW algebras and categories: the general quiver-parametrised KLRW algebra and its $$R$$-linear category, and a computable special case with one black strand and $$n$$ red strands. | |\n\nThe blueprint sources live in `blueprint/src/`. The API documentation is built on CI by\n`docgen-action`, which generates a `docbuild/` project depending on `doc-gen4` at the tag of\nthe current Lean toolchain; the checked-in `docbuild/lakefile.toml` is its local counterpart.\n\n### Project metadata and license\n\n[`formalization.yaml`](formalization.yaml) records the project's sources, scope, status,\nfidelity to the literature, and how it was produced, following the\n[community standards](https://github.com/mathlib-initiative/formalization.yaml).\nPlease keep it up to date (e.g. the `sorry` counts and scope) when making significant\nchanges; CI validates it against the schema.\n\nThe code is released under the Apache 2.0 license; see [`LICENSE`](LICENSE).\n",1794686180842]