Manuscript Oai282-A@1 · Oai282-A.tex · section · 5b6134ec
Family 290-02 is not instantiated
Stage 3: modular null cuts and recovery are different interfaces › Family 290-02 is not instantiated · lines 1357–1381
The supplied Oai290-A record distinguishes an exact finite-channel criterion from a modular-band witness under its own centralizer and spectral hypotheses CheungOai290A,Dossier. The latter needs its specified algebra, state, centralizer, operator, modular action, averaging, and band conditions.
A null-cut modular inclusion does not automatically verify those conditions. In Proposition prop:standard, for example, the faithful-state centralizer contains the diagonal algebra and is not scalar.
The reported Lean note names Family 290-02 only Dossier. It is not evidence that the lemma has been instantiated on the modular objects of Family 282. No such instantiation or checker execution is asserted.
The four same-model endpoint obligations reported in En07-B remain additional: preparation and code, complete evolution, justified outgoing access and endpoint identification, and a constant or quantitatively decoupled complete complement CheungEn07B. They are not constructed by the Ward certificate.