Input statement: Classical completion boundary

On the detecting data, every shell-descending action in ${\mathfrak{K}}_{\mathrm{loc},\mathrm{R}}$ induces the zero representation, and the pairing is nonzero on

The ending is Proved obstructed for that class only. The admitted cochain ${\mathcal{C}}_{\xi }=-{\mathfrak{B}}_{\xi }[D\gamma ,\varphi ]$ is not an integrated completion XIIID.