← Session 24 — ii′-2…4: swaps, (4.10) design, contour + website roadmap fixes
thinking (1152 chars)
Session 022: ii′-5 — the R-bound. Per STATE.md NEXT ACTION:
> Session 022: **ii′-5 — the R-bound** (D-064 R3, D-056: A = 10.5, B₀ = 48; the long pole, 2–3 sessions est.). Local route per D-064 §4 R3: Borel–Carathéodory (Mathlib has it) + Jensen (Mathlib) + Blaschke (Zeta23 StrongPNTPrefix); FE polynomial strip bound via riemannZeta_one_sub + Stirling; digamma Lemma D (D-039's true bound; D-056's reference-point proof). Target statement shape (D-036 §1): |ζ′/ζ(s) − Σ_{|γ−t|<1} 1/(s−ρ)| ≤ A·log(|t|+2) + B₀ on −3 ≤ σ ≤ 4, |t| ≥ 10. Design doc to consult first: D-064 §4 R3 + D-056 §0–2.
This is the long pole (2–3 sessions estimated). This is a big analytic task. Let me start by reading the design docs carefully:
1. D-064 §4 R3 — the route inventory
2. D-056 §0–2 — the actual proof to formalize (the reference-point R-bound proof)
3. D-036 §1 — the statement shape
Then check what Mathlib/Zeta23 provide (Borel–Carathéodory, Jensen, Blaschke) and plan the Lean factorization.
This is genuinely a multi-session sub-stage. Per §8.5, I should break it into sub-stages with clean committed states. Let me first read the docs to scope it properly.
Starting session 022: ii′-5, the R-bound. First, the design docs — D-064 §4 R3 (route inventory) and D-056 (the proof to formalize).
tool: Read
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