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A Registry of Lean Verified Mathematics

Palomar

Terence Tao

August 2026

02

What is Palomar?

Bridging formal proof assistants with mathematical knowledge

Lean & Formal Verification

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

lean
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
05

Core Capabilities

What Palomar offers to the mathematical community

Registry Features

hub

Centralized Catalog

Unified repository of Lean-verified mathematical theorems and definitions

verified

Verified Proofs

Every entry has been formally verified by the Lean proof assistant

search

Searchable Index

Browse and discover verified mathematics across multiple domains

link

Linked Knowledge

Connections between related theorems and mathematical structures

94
Hacker News Points
Strong community interest in formal mathematics verification

Explore Palomar

Discover the future of verified mathematics

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