Theorem: Integrity-aware finite release

For the declared host and finite interfaces:

1. the complete destructive instrument and its conditional reference blocks are established;

2. real binary and complex qubit reports have the sharp complete error formulas;

3. feasibility, inconsistency, and full affine ambiguity have original-minor and complete-kernel certificates;

4. the printed mutation arrays retain their counts and discrepancies, while the phase inconsistency has the exact cross-artifact witness (eq:phaseresidual);

5. direct graded non-feedback has the stated rank-zero certificate, with the separate quotient-response criterion;

6. the declared Q4S kinetic form has the exact affine inverse;

7. the unchanged printed gauge polynomial has 13 varying structures and derivative (eq:hhderivative);

8. free exactness, primitive enlargement, separator construction, and polynomial family solving have the stated finite criteria;

9. the old affine fallback, modular-rank confusion, and v4 execution-coverage overstatement are explicitly audited;

10. complete scheduled ancestry, transport, and conditional release soundness retain their precise scopes.

The phase-data consistency predicate remains false for the retained regression array. A successful known-discrepancy test would not change that predicate.

Q03 remains _CLOSED. The restricted $hh$ rank increase remains supplied, not newly re-certified. Full counterterm-derivative exactness and full gauge-family rows remain ; step 1b remains . No physical enlarged primitive or numerical physical separator is invented.

The supplied v4 failed transcript is retained. No v5 regression run, loop evaluation, compiler execution, formal proof check, or independent rebuild is asserted.

Proof. Items 1–3 follow from Theorems thm:instrument, thm:error, thm:rank, and Proposition prop:right. Item 4 is Proposition prop:mutationdata and Theorem thm:phase. Item 5 is Theorems thm:graded and thm:quotient. Items 6–8 are Theorem thm:propagator, Proposition prop:derivative, and Theorems thm:exactness–thm:blocklift. Item 9 is Theorem thm:affine, Propositions prop:modular, prop:pass, and prop:coverage. Item 10 follows from Theorem thm:locality, Proposition prop:route, and Theorem thm:gate. The missing scientific artifacts are not premises of any claimed new closure.