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Confidential

Lean Engineer, Formal Mathematics (Lean 4, Mathlib, Theorem Proving)

Elgin, TX

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About this opportunity

Confidential lists this Lean Engineer, Formal Mathematics (Lean 4, Mathlib, Theorem Proving) opportunity in Elgin, Texas. Review the employer’s description below for duties, qualifications and application requirements.

Job description

Shape how advanced AI systems state, prove, and evaluate machine-checked mathematics in Lean 4. You will formalize mathematical ideas, develop and review proofs, and help assess whether AI-generated work proves the intended result, not merely a statement accepted by the checker.

Key Responsibilities Write correct, idiomatic Lean 4 statements and proofs that compile with current mathlib across algebra, analysis, number theory, combinatorics, and logic.

Translate natural-language mathematics, including competition problems, textbook results, and research-level lemmas, into faithful formal statements and proofs.

Review AI-generated Lean statements and proofs, identify failures or mismatches with the intended mathematics, and provide precise written feedback.

Develop guidelines and rubrics for proof quality, statement fidelity, and mathlib conventions.

Collaborate with Lean engineers and research teams to maintain consistent standards and improve output quality.

Qualifications Hands-on Lean 4 formal-proof experience, such as mathlib contributions, formalization projects, Lean libraries or tools, or autoformalization work.

Comfort using mathlib, Lean 4 tactics, and relevant lemmas effectively.

Strong proof-based mathematics, theoretical computer science, or logic background demonstrated through a degree or research record.

Ability to convert written mathematical statements and proofs into correct, machine-checked formalizations.

Clear written communication and the ability to explain proof strategies and formalization decisions precisely.

Preferred Experience Experience with Coq/Rocq, Isabelle, Agda, Haskell, Lean metaprogramming, or AI-for-mathematics work, including LLM provers, Lean agent environments, miniF2F, ProofNet, or PutnamBench.

Applicants are not expected to have every preferred qualification.

Work Terms Remote, hourly W-2 employment.

Part-time commitment of at least 20 hours per week on weekdays, with the option to work up to 40 hours per week.

Compensation $90 to $110 per hour.

Equal Opportunity Employment decisions are made without regard to race, religion, color, national origin, sex, pregnancy or related conditions, sexual orientation, gender identity or expression, age, veteran status, disability, genetic information, political views or activity, or any other legally protected characteristic.

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