Theorem: Final release

For the supplied dependency set, the requested affirmative XII-B release is not established. Its ending is Unresolved at B0, with the dependent gates left unresolved.

The audit additionally proves that a density-ramped cubic Einstein action and a forcing prescription whose source is exactly ${\sigma }_{\epsilon }{J}_3$ are different specifications on the unrestricted off-shell class. This does not obstruct a correctly defined new action or a separately defined source-weighted model.

Proof. The B0 conclusion is Theorem thm:B0. The distinction is Lemma lem:weighted, Proposition prop:tracelayer, and Proposition prop:integrability. No theorem here exhibits a forbidden completed-kernel tuple or an interior defect of a specified new plateau identity. Therefore neither of the stated grounds for a new Proved obstructed release has been established.