Manuscript XIV-F@1 · XIV-F.tex · section · bae5a40b

F3 and F4: symbol and remainder not constructed

F3 and F4: symbol and remainder not constructed · lines 1444–1496

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F3 is not entered as a construction. The common symbol bundle of (eq:target) has not been supplied.

The regrouped pieces retain the following exact status:

PieceCopied resultStill missing
The coefficient after the exact explicit cancellationCommon microlocal order and symbol of the remaining term.
One divergence of the complete tensor Internal relations, composition orders, and the grouped divergence symbol.
inside that tensorThe branch identity A symbol of the full sum, not merely that numerator.
The full advanced root (eq:root)Composed symbol with the scalar line, including the mass contribution and its remainder.

The disappearance of an explicit test derivative in a smooth-slot identity does not assign a lower microlocal order. Likewise, the quadratic defect is geometry, not a distributional degree.

F4 is not entered. A complete remainder estimate would have to control:

  1. lower-order terms in every numerical line;

  2. the two relative transverse directions;

  3. derivatives on the observable attachment diagonal;

  4. the internal compositions in ;

  5. all terms retained in the complete source and root.

Neither a vanishing joint section with adequate remainder control nor a nonzero joint section on a named open relation is asserted.

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