Context
The research record preserves failed approaches when they expose a model boundary, an invalid transfer, or an unsupported strengthening.
Proof or evidence
Theorem R4.1 proves sufficiency only. Distinct ideals may be indistinguishable by every downstream context and therefore quotientable.
Verification notes
The failure status and preserved lesson are recorded in the cumulative failure ledger.
Limitations
- define contextual state equivalence and prove lower or upper bounds on the quotient before making a minimality claim.