[{"data":1,"prerenderedAt":4},["ShallowReactive",2],{"4wzwCor981":3},"[![Logo for Axiom Math](logo.svg)](https://axiommath.ai/)\n\n# Parity of $k$-differentials in genus zero and one\n\nThese files accompany the paper [arXiv:2602.03722](https://arxiv.org/abs/2602.03722).\n\nThe formal proofs provided in this work were developed and verified using **Lean 4.34.0-rc2**. Compatibility with earlier or later versions is not guaranteed due to the evolving nature of the Lean 4 compiler and its core libraries.\n\n## Input files\n\n- [`task.md`](task.md): natural language description of the task to be completed\n- [`.environment`](.environment): specifies the Lean version\n\n## Output files (Run with Lean 4.34.0-rc2)\n\n- [`ParityDifferential/problem.lean`](ParityDifferential/problem.lean): translation of the problem statement into formal language (Lean)\n- [`ParityDifferential/solution.lean`](ParityDifferential/solution.lean): solution in formal language (Lean)\n\n## Miscellaneous files (not used or written by AxiomProver)\n\n- [`examples.py`](examples.py): used to show example verification of small cases.\n  Only included for expository reasons and not part of the automated workflow.\n\n## Verifying with Comparator\n\nThis repository can be verified against the formal problem statement with the Lean comparator on a Linux machine. First, follow the instructions in [https://github.com/leanprover/comparator](https://github.com/leanprover/comparator) to install comparator. Then, run the following command:\n\n```\nlake env comparator comparator.json\n```\n\n## License\n\nThis repository uses the MIT License. See [LICENSE](LICENSE) for details.\n\n## Repository maintainers\n\n- [Evan Chen](https://github.com/vEnhance)\n- [Kenny Lau](https://github.com/kckennylau)\n- [Ken Ono](https://github.com/kenono691)\n- [Jujian Zhang](https://github.com/jjaassoonn)\n",1789154824237]