system-properties-are-indefinitely-maintained
OUT derived (depth 13)
The system's three ultimate properties — self-sustainability, comprehensive auditability, and complete invariant preservation — extend beyond external beliefs to unlimited temporal scope: resource-sustainable self-correction within a deterministic lifecycle ensures these properties hold not just now but indefinitely, provided propagation correctness is maintained.
Summary
The core guarantees of the system — that it sustains itself, can be fully audited, and preserves all its invariants — are claimed to hold not just at any single point in time but indefinitely into the future. This follows from combining those guarantees with the system's ability to self-correct without consuming unbounded resources, meaning there is no mechanism by which the properties would degrade over time as long as the underlying propagation logic remains correct.
Justifications
SL — Extends the depth-12 apex claim from static achievement to temporal permanence — the system doesn't just have these properties, it keeps them; gated on propagation correctness because indefinite operation amplifies any propagation assumption violation from a latent defect to eventual failure
Antecedents (all must be IN):
- system-is-self-sustaining-auditable-and-invariant-complete — The system simultaneously achieves three ultimate properties: self-sustainability through minimality's fixed-point, comprehensive invariant preservation, and complete operational auditability for every maintenance action — a single closed architecture that maintains itself, preserves all guarantees, and traces every action.
- self-correction-sustains-lifecycle-indefinitely — Resource-sustainable self-correction operating within a deterministic, architecturally-grounded, structurally-sound lifecycle means the system can maintain belief quality indefinitely — resource efficiency prevents degradation while structural soundness prevents architectural drift.
Unless (any of these IN defeats this justification):
- propagate-assumes-dependents-exist — Every ID in `node.dependents` is accessed via `self.nodes[dep_id]` without a membership check; a dangling dependent reference will raise `KeyError` — this is intentional (broken invariant = bug)
Dependents
These beliefs depend on this one:
- system-guarantees-are-universal-and-permanent — The system's ultimate properties are both permanent (maintained indefinitely without temporal degradation) and universal (extending fully to all beliefs regardless of origin) — no belief can escape the system's guarantees along either the time or scope dimension.