C02.1 · Claims used

No supplied Registrar record carries this foundation predicate: **`NONE/files-only`**. The source statements used are the Jordan product in Appendix A §A.1, the real-lift definition and its special-vacuum spectrum in §A.5, and the raw split trace-form signature in Appendix L. Their presence is not scientific clearance of the new code.

The exact assertions to verify are: \[ X\circ X^\#=N(X)I,\qquad [L_X,L_{X\circ X}]=0,\qquad L_A^T B=B L_A. \] Here the first is the cubic characteristic identity for an **element**, the second is the **Jordan identity**, and the third concerns the **indefinite trace form**. None says that the full multiplication operator is annihilated by the element's cubic or has only real eigenvalues.