What is proved, and what is not

The local result is

The following remain outside this certificate:

1. verification of the external Family 227-01 process limit;

2. construction or independent verification of its limiting edge diffusion and selected entrance;

3. an asymptotic convergence rate or large-$n$ error certificate;

4. a Lean formalization of the functional autocorrelation theorem;

5. a quantum SK theorem or identification with QAOA;

6. a closed evaluated formula for the infinite random process;

7. a Page curve, island, horizon, Hawking-radiation statement, gravity-generated entanglement, or classical-gravity exclusion.

Completion of the finite theorem does not discharge any of these separately quantified problems. No further next theorem is opened by this manuscript.