Evaluation after admission

No vanishing of ${R_1}^{(0)}$ on the whole of ${\mathcal{C}}_W$ has been proved. The cancellation of ${\Delta }_{\xi }\mathcal{O}$ does not imply that the interaction response vanishes. The response directions $r_g[\varphi ]$ and $p_1[\gamma ;\varphi ]$ are sourced zero-data fields; they are generally not tangent to the free shell or its restricted subclass. Differentiating an evaluation identity along such a direction is not licensed.

The statement also does not supply evaluation of an unconstructed ${R_1}^{(1)}$. In particular, one cannot conclude that its degree-two symbol vanishes on the two subclasses merely from the degree-four tree statement.

The witness (eq:witness) remains the boundary of the original full-shell invariance claim. It is neither removed by evaluation elsewhere nor transformed into a binary quantum anomaly.