Registry · Theorem III.T03 tau-effective formalized

III.T03 — Saturation at E₃

E₄ = E₃: the enrichment ladder saturates at exactly four levels. The 4-orbit closure of ρ under ABCD decomposition means no fifth orbit exists. Therefore [E₃^op, E₃] ⊆ E₃ — the functor category collapses back, and the ω-absorber mechanism prevents escape.

Book III Part 1 Ch. 7

Dependency Graph

Depends on (2)

Depended on by (7)

Lean Formalization

Module: TauLib.BookIII.Enrichment.CanonicalLadder

Symbol: saturation_e3_8_3