Manuscript XIV-J@1 · XIV-J.tex · proposition · 1c0e72ca

Proposition: No cancellation conclusion

J3: joint section and complete remainder, not entered · lines 1776–1794 · proof included or linked

XIV-J@1#prop:nocancellation

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XIV-J proves neither cancellation nor failure of cancellation of .

Proof. The new theorems concern reconstruction identities and a proper sub-sector on a domain avoiding . No joint characteristic distribution or principal-symbol section of the entire sum is constructed there.

The source-sector coefficients could cancel among themselves or with other reconstructed branches in a later valid composition. Conversely, their existence away from does not prove such cancellation. Neither conclusion follows without the missing joint map and its complete remainder.

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