This paper establishes that the admissibility constraint map is complete and closed by structural exhaustion. All admissible structural roles, boundaries, and relations required to preserve standing are shown to be accounted for, and no additional admissible components remain. The analysis demonstrates that apparent gaps in the constraint map—such as missing operators, higher-order envelopes, meta-constraints, or alternative enforcement layers—arise only from attempts to reintroduce structure that admissibility explicitly forbids. When these illicit moves are excluded, the map admits no further extension without collapse. The result fixes the admissibility constraint map as terminal rather than provisional. It is not an incomplete framework awaiting refinement, but a closed structure whose completeness follows from necessity rather than enumeration. The paper introduces no diagrams, constructions, or implementation guidance. It records the exhaustion result that no admissible structural additions remain.