| widget: | |
| - text: "Let MATH be given." | |
| - text: "If MATH is a nonempty" | |
| - text: "By the inductive hypothesis," | |
| [DistilGPT2](https://huggingface.co/distilgpt2) English language model fine-tuned on mathematical proofs extracted from [arXiv.org](https://arxiv.org) LaTeX sources from 1992 to 2020. | |
| Proofs have been cleaned up a bit. In particular, they use | |
| * `CITE` for any citation | |
| * `REF` for any reference | |
| * `MATH` for any LaTeX mathematical formula | |
| * `CASE:` for any `\item` or labeled subcase. |