Chapter 9: The Seven Hallmarks Derived

The seven classical hallmarks of life—organization, metabolism, homeostasis, growth, reproduction, response, evolution—are derived as theorems from Distinction and SelfDesc. Each hallmark is a consequence of the formal framework, not an axiom: organization equals distinction structure, metabolism equals the Life Loop Class, homeostasis equals basin stability, and so on through evolution as PPAS optimization. The completeness proposition establishes that these seven exhaust the empirical hallmarks: every classical hallmark maps to exactly one formal structure.