Registry · Proposition III.P02 tau-effective formalized

III.P02 — Functor Category Collapse

The functor category [E₃^op, E₃] is contained in E₃ itself. No fifth generator or orbit channel exists to house genuinely new structure. The ω-absorber ensures all higher-level attempts collapse back: any would-be E₄ object is already an E₃ natural transformation.

Book III Part 1 Ch. 7

Dependency Graph

Depends on (1)

Depended on by (1)

Lean Formalization

Module: TauLib.BookIII.Enrichment.CanonicalLadder

Symbol: functor_collapse_8_3