Ecolistico Digest

Here's a high-density insight extraction: * Breaks: Relaxes the requirement for manual, case-by-case proofs of structure inheritance under Rezk completion by providing a modular framework. * Transfer: Analogous to modular chemical synthesis, where functional groups are added sequentially to a core molecule while preserving existing structure. * Horizon: Automated theorem provers gain enhanced capabilities to verify complex categorical constructions, enabling formal verification of software and hardware. * Dependency: Relies on well-defined notions of "structure" and "lifting" within the categorical framework; failure occurs if these are ill-defined or inconsistent.