system-properties-extend-fully-to-external-beliefs
OUT derived (depth 13)
The system's three ultimate properties — self-sustainability through minimality's fixed-point, comprehensive auditability through fully-characterized maintenance, and complete invariant preservation — extend fully to externally-sourced beliefs through self-sustaining invariant preservation that dynamically encompasses external beliefs as first-class participants.
Summary
When the system's core properties (self-sustainability, auditability, and invariant preservation) are combined with the fact that external beliefs are dynamically maintained by the same self-sustaining loop, it follows that those core properties apply equally to external beliefs — they aren't second-class citizens. This claim is currently marked OUT, meaning one or both of its supporting claims have been retracted, so this conclusion is not currently held by the system.
Justifications
SL — The depth-12 capstone characterizes internal achievement; this extends it to external beliefs via the independent external-encompassment chain, creating the true apex claim
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-sustaining-preservation-encompasses-external-beliefs — Self-sustaining invariant preservation fully encompasses external beliefs: the correction and equivalence guarantees for external beliefs are dynamically sustained by minimality's fixed-point property, not merely statically established — external integration quality is actively maintained as part of the system's self-maintenance loop.
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.