Registry · Theorem III.T25 tau-effective formalized

III.T25 — Positive Regularity Theorem

For τ-admissible initial data, every ω-germ stabilizes under H_flow. 3-condition proof: (i) clopen locality, (ii) ω-germ determinacy via Local Hartogs, (iii) defect-horizon contractivity. Structural mechanism, not a PDE estimate.

Book III Part 5 Ch. 37

Dependency Graph

Depends on (5)

III.D36 III.D39 III.D40 III.T24 III.P14

Depended on by (5)

III.P15 III.R18 III.T29 V.P42 V.P43

Lean Formalization

Module: TauLib.BookIII.Physics.PositiveRegularity

Symbol: positive_regularity_check