Formal Mathfin Theorems: 251 Machine-Checked Theorems in Lean 4

251 machine-checked theorems of mathematical finance, formalized in Lean 4 on top of Mathlib and Rémy Degenne's BrownianMotion package. Each row is one theorem, containing its Lean statement and proof, its domain, and a faithfulness tier. The dataset was extracted from the formal-mathfin library by author raphaelrrcoelho and was last updated on 2026-05-31.

Use Cases

• Training autoformalization models based on the Lean statements and proofs
• Evaluating LLM-based theorem provers on formally verified mathematical finance problems
• Studying the structure of formal proofs in mathematical finance based on the faithfulness tiers
• Developing tools for translating between informal mathematical claims and formal Lean statements

Strengths

• 251 formally verified theorems provide a substantial corpus for machine learning tasks
• Each theorem includes a Lean statement, proof, domain, and a faithfulness tier, offering structured metadata
• Machine-checked verification ensures logical correctness of the theorems and proofs

Limitations

• Column-level documentation is absent; field semantics must be inferred after download
• Row count is known (251), but the dataset's scale for training large models may be limited
• Description metadata is limited; actual data quality requires manual inspection after download

Provenance

Source

Extracted from the formal-mathfin library by author raphaelrrcoelho.

Collection Method

Formalized in Lean 4 using Mathlib and the BrownianMotion package.

Freshness

Last updated 2026-05-31 17:33:20