Two explicit certificate levels

The original ramp reserve may cover $D_f$ for its own test without covering $Q_{\epsilon }$, the parent convolution supports, or the parent gauge region. Therefore it does not automatically establish (eq:fullcertificate).

No claim is made that the supplied host description by itself proves either certificate for the numerical placement $x_{\ast }=(4,0,0,0)$. The supported statements below have these explicit hypotheses. This is a restriction on the interpretation claimed, not a reduction of ${\mathfrak{g}}_C$ after finding the defect.