A Registry of Lean Verified Mathematics
Terence Tao
August 2026
Bridging formal proof assistants with mathematical knowledge
Lean is a proof assistant that enables mathematicians to write formal proofs that can be verified by computers. Palomar serves as a centralized registry, cataloging and organizing mathematics that has been formally verified using Lean.
Computer-checked certainty for mathematics
theorem add_zero (n : Nat) : n + 0 = n :=
Nat.add_zero n
The dream of formalizing all of mathematics in a computer-checkable format is becoming reality.Terence Tao
What Palomar offers to the mathematical community
Unified repository of Lean-verified mathematical theorems and definitions
Every entry has been formally verified by the Lean proof assistant
Browse and discover verified mathematics across multiple domains
Connections between related theorems and mathematical structures
Discover the future of verified mathematics