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Attend the second analysis lecture in a comprehensive mathematics formalization workshop focused on teaching filter theory through the Lean proof assistant. Learn fundamental concepts of filters as part of a bilingual mathematics curriculum that bridges traditional mathematical understanding with formal verification techniques. Explore sequences and series, limits of real-valued functions, and continuity concepts while developing proficiency in the Lean programming language and Mathlib library. Participate in hands-on exercises designed to formalize undergraduate-level mathematical solutions, building essential skills for advanced mathematical research and formal proof development. This lecture forms part of an intensive training program preparing PhD students and postdocs for collaborative work on major mathematical formalization projects including the Fermat's Last Theorem and Prime Number Theorem initiatives.
