Two different lifts of the copied stratum

The codimension-four characteristic ambiguity statement copied from XIV-D refers to a specified codimension-four extension problem. It must not be transferred to ${\tilde{\mathcal{N}}}_{\mathrm{att}}$ with the same delta order or degree threshold without identifying the ambient space.

For example, the numerical three-vertex graph may be extended first and its observable attachment added later. That is not automatically the same operation as extending a common kernel already containing derivatives of $\delta (a-z)$. Their compatibility requires a theorem.