← Session 35 — ii′-6-R: Lagarias 6.1 right-tail re-proof (E-032/D-073)
Session state saved cleanly. Summary of where we are:
**This session (session 040 block B):**
1. **ii′-6-a2 committed** (`0dfbd6e`) — Bn dog-leg redefinition; N₁ = 9×10²⁴ preserved; audit clean.
2. **Finding F-E discovered and logged** (`8068ea6`, D-074 §9) — the I_I kernel charge `e^{√n/2}+1` is off by one near `t = 0` (true value `e^{√n/2+1/8}`; latent in the original D-036 charge). Repair adopted: charge I_I as `e^{1/3}·IIMaj`, absorbed by the fold's free dropped 2π factor — **no change to Bn/IIMaj/convexity/pinch/base points**.
3. **6-c-i scaffolding complete** (`a8c5b1e`) — `LiSideBounds.lean` builds GREEN: monotonicity bridges, near-zero count bridge, logDeriv continuity, zero-freeness on both paths, rectangle side decomposition, integral machinery, even symmetry.
4. **6-c-ii fully designed** — the I_III proof recipe is written out step-by-step in STATE.md (plus recipes for 6-c-iii/iv/v and the 6-d fold), so the resume needs no re-derivation.
**Saved per protocol:** journal-040 CONTINUATION section, NGUYEN.md checklist, STATE.md NEXT ACTION, session-40 db record — all committed as `2979f57`. Build GREEN; tree clean (your correspondence/paper aux files and the Scratch.lean API probe intentionally left uncommitted).
**When you're back:** read STATE.md → resume at 6-c-ii (I_III left-vertical bound).
raw content_json (database row)
[{"type":"text","text":"Session state saved cleanly. Summary of where we are:\n\n**This session (session 040 block B):**\n1. **ii′-6-a2 committed** (`0dfbd6e`) — Bn dog-leg redefinition; N₁ = 9×10²⁴ preserved; audit clean.\n2. **Finding F-E discovered and logged** (`8068ea6`, D-074 §9) — the I_I kernel charge `e^{√n/2}+1` is off by one near `t = 0` (true value `e^{√n/2+1/8}`; latent in the original D-036 charge). Repair adopted: charge I_I as `e^{1/3}·IIMaj`, absorbed by the fold's free dropped 2π factor — **no change to Bn/IIMaj/convexity/pinch/base points**.\n3. **6-c-i scaffolding complete** (`a8c5b1e`) — `LiSideBounds.lean` builds GREEN: monotonicity bridges, near-zero count bridge, logDeriv continuity, zero-freeness on both paths, rectangle side decomposition, integral machinery, even symmetry.\n4. **6-c-ii fully designed** — the I_III proof recipe is written out step-by-step in STATE.md (plus recipes for 6-c-iii/iv/v and the 6-d fold), so the resume needs no re-derivation.\n\n**Saved per protocol:** journal-040 CONTINUATION section, NGUYEN.md checklist, STATE.md NEXT ACTION, session-40 db record — all committed as `2979f57`. Build GREEN; tree clean (your correspondence/paper aux files and the Scratch.lean API probe intentionally left uncommitted).\n\n**When you're back:** read STATE.md → resume at 6-c-ii (I_III left-vertical bound)."}]