What the next source patch must supply

The next useful sheet is an XIV-H-oriented definitional recovery for the remaining coefficient ingredients, not a continuation of this paper into F1. It would need to reproduce the actual definitions rather than generic forms for:

1. the inherited fiber maps $a_1,b_1$ and their component pairings;

2. the switches, observation weights, and their declared function spaces;

3. the quadratic coefficient $a_2$, its derivative, and the construction of $\mathsf{D}$;

4. the full differentiated-source coefficients ${q_{\alpha \beta }}^{L,I,J}$;

5. the response fiber map and advanced scalar operator used in the copied formulas;

6. the precise common presentation package for all six operational entries.

Such a sheet would still not, by itself, recover the actual graphwise correction operator, weight class, and spectator distribution. Those belong to the XIII-C correction interface and need a separate exact identification. Likewise, the actual residual output bundle and value/test pairing must be specified or explicitly derived from a supplied convention.

After these definitions are supplied, F0 must be reassessed under its original rule. It must not be redefined as a pass merely because every item has some displayed parameter family. Only after a lift-ready actual package is available can a later manuscript attempt to state a preliminary lift and prove its canonical agreement.

The subsequent analytic order remains unchanged:

This diagram is a requirement list, not a sequence of results proved by the present paper.