invariant-preservation-is-total-and-self-sustaining
OUT derived (depth 12)
Invariant preservation is simultaneously total in scope (spanning all invariant dimensions and encompassing all belief types including externally-integrated ones) and self-sustaining in mechanism (maintained by minimality's fixed-point that dynamically corrects any departure) — comprehensiveness and sustainability are co-achieved rather than traded off.
Summary
The system's ability to maintain its core guarantees is claimed to be both comprehensive — covering every type of belief, including ones brought in from outside — and self-correcting, automatically fixing any drift without external intervention. These two properties reinforce each other rather than competing, meaning the system doesn't have to sacrifice coverage for sustainability or vice versa. However, this claim currently lacks support because one or both of its foundations have been retracted.
Justifications
SL — Cross-connects two parallel depth-11 branches that independently established totality and self-sustainability of invariant preservation — neither is an antecedent of the other, yet they describe complementary aspects of the same system property
Antecedents (all must be IN):
- total-invariant-preservation-encompasses-all-beliefs — Total invariant preservation — comprehensive in scope and architecturally grounded — fully encompasses externally-integrated beliefs that achieve integration parity along all quality axes, establishing that the system's invariant regime makes no distinction between internal and external beliefs at any level.
- 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:
- knowledge-equilibria-are-invariant-preserving-and-self-sustaining — Knowledge growth converges to negation-transparent equilibria with complete propagation fidelity where all system invariants are simultaneously total in scope and self-sustaining through minimality — the system can grow its knowledge base indefinitely while every invariant remains actively maintained.
- total-preservation-is-indefinitely-auditable — Total invariant preservation — comprehensive in scope and self-sustaining through minimality — is accompanied by indefinite auditability: every invariant-preserving action across all time leaves traceable history without temporal degradation, meaning the system can prove its own correctness at any point.