Mathlib

Mathlib is a community-built library of formalized mathematics for the Lean theorem prover.

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Mathlib is an open-source mathematics library for the Lean theorem prover, built by a community of mathematicians and developers. It contains definitions and theorems from algebra, analysis, topology, number theory and other fields, written as formal proofs that Lean can check.

Because it lets authors of formal proofs reuse definitions and theorems that are already verified, it is widely used in the formalization of mathematics and in research on AI-based theorem proving.

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Claude translated the proof into Lean, a proof assistant that checks every logical step against strict foundations, using Lean's Mathlib library.


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