ProofPilot

ProofPilot is a web app (with optional desktop wrapper) that helps students and researchers write cleaner mathematical proofs and verify each step against a formal checker. You write in a guided, human-friendly editor (mix of LaTeX and structured prompts), and the app continuously translates your work into Lean, runs the proof checker, and highlights exactly where the logic breaks. It’s not a magic “solve my homework” button: it forces you to supply missing lemmas, definitions, and assumptions, but it removes the brutal setup friction that makes formal methods unpopular. It includes a small library of common undergraduate theorems (calculus, linear algebra, discrete math) and a “proof gap explainer” that suggests the next plausible lemma and why it’s needed. Export to LaTeX for submission, or keep a verified proof artifact for research notes.