MathlibLemma: Folklore Lemma Generation and Benchmark for Formal Mathematics
Researchers have developed MathlibLemma, an LLM-powered pipeline designed to automatically discover, formalize, and prove folklore lemmas missing from formal mathematics libraries like Lean. This system has generated over 1,500 verified Lean proofs, with a subset already integrated into Mathlib, demonstrating its ability to meet expert standards. Additionally, a benchmark suite of 4,028 type-checked Lean statements has been created to evaluate AI's role in expanding formal mathematical knowledge. AI