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Full-Time
Mercor

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

Mercor • Remote

Company

Mercor

Hourly rate

$90 – $110/hr

Location

Remote

Listed

Today

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About this Role

Help a leading AI lab teach its models to write real, machine-checked mathematics in Lean.

What you'll do

  • Write correct, idiomatic Lean 4 statements and proofs that compile against current mathlib, across areas such as algebra, analysis, number theory, combinatorics and logic.
  • Formalize natural-language mathematics, from competition problems and textbook results to research-level lemmas, paying close attention to whether the formal statement matches the original.
  • Review AI-generated Lean statements and proofs, find where they fail or prove the wrong thing, and give clear, specific written feedback.
  • Help define guidelines and rubrics for proof quality, statement fidelity and mathlib conventions.
  • Collaborate with other Lean engineers and the lab's researchers to keep standards consistent and keep raising the quality bar.

What you need

  • Hands-on experience writing formal proofs in Lean 4, for example mathlib contributions, a formalization project, a Lean library or tool, or autoformalization work.
  • Comfort with mathlib and Lean 4 tactics, and with finding and using the right lemmas.
  • A strong background in proof-based mathematics, theoretical computer science or logic, through a degree or a research record.
  • The ability to turn a written statement and proof into a correct formal statement and a proof that checks.
  • Ability to engage reliably for at least 20 hours/week during weekdays.
  • Clear written communication and the ability to explain proof strategy and formalization choices precisely. Nice to have: experience with other proof assistants or dependently typed languages (Coq/Rocq, Isabelle, Agda, Haskell), Lean metaprogramming, or AI-for-math work such as LLM provers, Lean agent environments, or benchmarks like miniF2F, ProofNet or PutnamBench. You don't need all of these to apply.
About Mercor and legal notices

About Cincinnatus LLC

Cincinnatus LLC is an enterprise staffing company that partners with leading technology companies to source and employ highly skilled professionals for contingent and contract-based opportunities. Cincinnatus serves as the employer of record for these engagements, providing W-2 employment, payroll, benefits, and compliance, while placing employees directly within client teams to work on high-impact initiatives.

Equal Employment Opportunity

Cincinnatus is proud to be an Equal Employment Opportunity employer. We do not discriminate based upon race, religion, color, national origin, sex (including pregnancy, childbirth, reproductive health decisions, or related medical conditions), sexual orientation, gender identity, gender expression, age, status as a protected veteran, status as an individual with a disability, genetic information, political views or activity, or any other legally protected characteristic.

Skills & Categories

MathematicsSTEM CodingExpert AI TrainingLeanSpecialist

Frequently Asked Questions

How do I apply for the Lean Engineer, Formal Mathematics (Lean 4, Mathlib, Theorem Proving) role at Mercor? +

Use the Apply button on this page. It opens Mercor's own application form, so you apply directly with them.

What does this Mercor role pay? +

Mercor lists $90 – $110/hr. Confirm the exact rate and terms in their application.

Is this role remote? +

The listing is remote. Check Mercor's posting for any country or time zone requirements.

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