Formal Verification

mathlib4 reaches 5 million lines of code

The Lean 4 mathematical library mathlib4 surpasses 5 million lines of formalized mathematics, marking a major milestone in formalized mathematics.

Milestone

mathlib4 has surpassed 5 million lines of formalized mathematics, making it one of the largest formal mathematics libraries in existence.

Statistics

  • 5M+ lines: Of Lean 4 code
  • 10K+ theorems: Formalized
  • 500+ contributors: From around the world
  • 200+ commits: Per week at peak

Coverage

  • Linear algebra
  • Number theory
  • Analysis
  • Topology
  • Algebraic geometry
  • Category theory
  • And more

Impact

mathlib4 enables:

  • Undergraduate mathematics in Lean
  • Research-level formalization
  • AI training for theorem proving
  • Educational projects

Community

The mathlib4 community continues to grow rapidly with contributions from mathematicians, computer scientists, and hobbyists.