B Detailed continuation derivations
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The following mathematical release notes preserve the detailed arguments behind the continuation. They are source-grounded exposition of the completed blocks, and retain their original hypotheses. Source-declaration and build inventories are supplied separately in the archive. References to earlier blocks and then-pending work are dated checkpoint statements; current scope is given in the main text. Read b.1. paper ix: finite polynomial lifting and shared corrections Read b.2. paper ix: correction torsors and exact polynomial lift counts Read b.3. paper ix: compatible polynomial towers and p-adic roots Read b.4. polynomial roots under coefficient perturbation Read b.5. paper ix: continuous p-adic parameter charts Read b.6. paper ix: weighted nonlinear lifting Read b.7. paper ix: weighted first-order root motion Read b.8. paper ix: prescribed-parameter polynomial lifting Read b.9. paper ix: compatible towers with prescribed parameters Read b.10. paper ix: simultaneous coefficient and parameter deformation Read b.11. paper ix: analytic regularity of the local parameter solution