B5: the recorded quantum gate

XIII-C's four obligations are repeated unchanged (Input statement input:XIIIC): a prescription through the noncoincident characteristic configurations or a proved cancellation in the selected pair; uniform transverse estimates on the three- and four-vertex strata and their intersections; compatible extensions with the permitted partial contacts; the output wavefront estimate after proper pushforward. No coefficient of $\lambda \hslash$ exists.

Accordingly: neither $s_{\mathrm{ext}}$, $s_{\Psi }$, nor $s_0$ is applied to ${R_1}^{(1)}$; no Hadamard line is contracted against ${\mathcal{J}}_{\mathrm{D}}$; no binary Ward defect is formed. The classical breaking functional $\mathfrak{K}$ is the antibracket square of the extended action on the unrestricted ghost space at ${\hslash }^0$; it is not the anomaly of an unconstructed quantum defect, and (eq:offFW-witness) is not a quantum statement.

X-G's reciprocity pairing on the source-switched sheet with inverse $-4$, and X-A's convolution defect $S_{\epsilon }\xi \ne \xi$, remain non-identifications: neither sheet is the one frozen here, and no obstruction proved on either is imported. XII-C's empty coupled jet ${{\mathcal{J}}^{\mathrm{D}}}_{g,{\sigma }_{\epsilon }}({\varphi }_m)=\varnothing$ is a solution-fiber statement, not a failure of $\mathcal{O}$; the slot $r_{\mathrm{D}}+r_g$ solves a gauge-fixed forcing equation and does not fill it. The XI-G classes remain excluded; $\mathcal{O}$ is not a representative.