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Explore elementary number theory concepts through formal mathematical proof using the Lean theorem prover in this conference talk. Learn how to formalize undergraduate-level number theory problems including rings, unique factorization domains, congruence relationships, finite fields, and quadratic reciprocity within the Lean programming environment. Discover practical approaches to translating traditional mathematical reasoning into formal proofs while working with the Mathlib library. Gain insights into the intersection of computational proof verification and classical number theory through hands-on examples and demonstrations that bridge theoretical mathematics with modern formalization techniques.
Syllabus
ntoine Chambert Loir: Doing Elementary Number Theory in Lean, Talk 2 (June 18, 2025)
Taught by
Simons Foundation