LEAN FORWARD

Our overall aim will be met by pursuing four scientific objectives, presented below. Our starting point is that there is tremendous value in simultaneously using and developing a proof assistant. Lean Forward combines these two activities... Our overall aim is to make proof assistants usable by mathematicians, by initially focusing on number theory and related areas, developing the proof automation, tool integrations, and formal libraries guided by actual users' needs... The libraries will be developed with maintainability in mind. To ensure their longevity, we will initiate a repository of third-party Lean formalizations and tools. Our goal is not only to prove lemmas and theorems but also to verify algorithms and use verified algorithms to check entries in online databases (e.g., LMFDB). Beyond their intrinsic appeal, the algorithms often arise naturally in proofs. Moreover, verified algorithms can be used to prove lemmas using reflection.