Explicit analytical premise

These statements are the analytical premise of VII-D, explicitly restated in IX-B IXB (ass:VIID, eq:adjoint) VIID (thm:finitepart, thm:conversion; Section “Adjoint symmetry”). No independent verification of VII-D is asserted here.

Fix $\rho ,\mu$. The permitted scalar calibration is

This is an imposed parent class. It is not a classification of all possible graph extensions or binary-product ambiguities.