(git-record date, not publication date)
completed
kernel-checked
primary investigation
verified
Both halves landed with zero sorrys and standard axioms only: O9Seam.r_comp_mem and Retention.rIv_mem are retired at no reproof cost, and the two-mode arithmetic is proved and instantiated at a recorded kernel box after O9Bridge identified Phi2 with the retention integrals Qre and Qim.
hunts/r_88dc5e (Record 35 of 98 in chronological sequence)
Guiding Question
Does the O9 checker's Bool verdict imply the real damage bound on the box it decided, and can the two dead-weight seam lemmas be retired without reproof?
Method & Verification
O9Bridge.lean proves Re Phi2 = Qre and Im Phi2 = -Qim for y != 0 by closed forms, O9Modes.lean turns the checker Bool into dam_le_of_box, and a re-run of the use-site survey deleted the two unused seam lemmas.
Lineage & Relationships
Primary Sources (at pin 8fa46e134)
Editorial Notes
Case-log status is settled. Disposition maps settled to completed. What this does not close is the remaining O9 soundness chain beyond the two-mode arithmetic at one recorded box.
Date Provenance
commit c7fdf2edf2112a16d3190a2619a81ab0f5c55427, hunts/r_88dc5e/RESULTS.md, author 2026-08-18T03:42:24Z