Cubical Types for the Working Formalizer - Making Type Theory Accessible

Learn about cubical type theory and its practical applications in mathematical formalization through this Topos Institute Colloquium talk. Explore how cubical type theory extends dependent type theory to make the univalence principle provable while enabling work with higher inductive and coinductive types. Discover the challenges of implementing these advanced features, including usability concerns and additional proof obligations when working with set-level mathematics. Gain insights into the development of the 1Lab library and the automation techniques being built to make cubical type theory more accessible to mathematicians focusing on traditional, low-homotopy level mathematics, without requiring deep expertise in cubical type theory papers.