Manuscript XIV-D@1 · XIV-D.tex · theorem · 1a7f173d
Theorem: XIV-D release
Decision and exact release · lines 1460–1496 · proof included or linked
XIV-D@1#thm:release
For the unchanged contract of D0:
The full smooth-slot second-derivative sum is (eq:VHessian)–(eq:OHessian), and the complete grouped species expression is (eq:species).
The retained mixed kernel germ is exactly the six-branch sum (eq:six); the local zero statements and channel separation are proved without evaluating a singular kernel at a point.
The full leading fiber-tensor numerator of obeys (eq:B6identity), but this does not decide cancellation of (eq:retainedfull).
No complete cancellation theorem, nonzero full symbol section, or characteristic prescription is constructed.
No incompatibility excluding every possible prescription under the unchanged contract is proved.
The exact ending is Unresolved at D2, within J2. No or Ward defect is released.
Proof. Proposition prop:Hessian and Lemma lem:ledger prove the full algebraic ledger. Proposition prop:reduction, Lemma lem:channel, and Theorem thm:incidence prove the retained-germ statement.
Proposition prop:B6tensor proves the branch-level fiber calculation, with its limitation established in Corollary cor:branch. Theorem thm:D2 identifies the first missing analytic step. Section sec:D3 supplies necessary conditions but no extension map or universal exclusion theorem.