Structures

Learn about mathematical structures in Lean through this lecture delivered by Filippo Nuccio as part of the Simons Foundation's MPS Workshop on Lean. Explore the formalization of algebraic and number-theoretic structures including rings, unique factorization domains, congruence, finite fields, and quadratic reciprocity. Develop proficiency in expressing mathematical concepts in Lean while working through undergraduate-level exercises that demonstrate the practical application of the Mathlib library. Gain hands-on experience with bilingual mathematics instruction that bridges traditional mathematical reasoning with formal verification techniques, preparing you for advanced collaborative projects in mathematical formalization.