# Mathlib

The work reframes method selection in formal proving as an applicability problem and introduces self-advertisement: in one batched call, each of 82 Method Contracts proposes a target, an action, and required conditions for the current goal, and vague or unsupported proposals are demoted before ranking; it reaches 95.0% hit@5 on Putnam 2015–2025 versus 84.2% for the strongest reranker, and 91.7% versus 88.3% on IMO ProofBench.

The work reframes method selection in formal proving as an applicability problem and introduces self-advertisement: in one batched call, each of 82 Method Contracts proposes a target, an action, and required conditions for the current goal, and vague or unsupported proposals are demoted before ranking; it reaches 95.0% hit@5 on Putnam 2015–2025 versus 84.2% for the strongest reranker, and 91.7% versus 88.3% on IMO ProofBench.