E5: boundaries recorded and the differential left unopened

Four predecessor boundaries remain separate:

1. XIII-D excludes integrated classical completions in its parameter-local/one-retarded, shell-descending class on the detecting data. Its admitted cochain is not an integrated completion and is not an extension coefficient.

2. XII-F's nonzero witness remains a boundary of unqualified full-shell invariance. It is not a normalization condition for the present product.

3. XIII-A's additional vanishing space is not a quantum ideal. No quotient by ${\mathcal{N}}_W$ is introduced.

4. XIII-B's literal retarded-factorization equality is already obstructed. Its corrected ordered values are retained.

None of these is a theorem that the selected two-line pair has no extension.

No action of the free differential on the absent quantum coefficient is printed. No binary Ward defect is formed. A Constructed release of the selected pair would remove one necessary prerequisite for that later question; it would not automatically construct the binary data with differentiated entries or prove their compatibility.

No antifields, master equation, interacting differential, state, or physical cohomology class are added. No reflected-cone subtraction or triangle residue is used. The ramp width remains fixed, and no limit $\epsilon \to 0$ is taken.

Evaluation on ${\mathcal{C}}_W$ is subsequent to admission. It neither defines the graph product nor permits a restriction of its configuration-space domain. The tree zero-evaluation subclasses do not imply zeros of a degree-two quantum coefficient.