Proposition: No full cancellation verdict

The results of this paper establish neither cancellation nor failure of cancellation of the complete grouped coefficient (eq:target).

Proof. The source symbol belongs to a local differential operator. The testing example establishes a limitation of a regularity inference. The factorwise audit establishes failure of the ordinary final pullback hypothesis for one retained numerical incidence.

None constructs a common principal-symbol section of the complete coefficient or its controlled remainder. The copied $Q\lambda$ identity and the rank of $J$ do not supply those missing data.