← Session 30 — ii′-5e squeeze capstone + 5f perimeter repair
thinking (413 chars)
Session 035 fully closed. Let me give the user the final summary. The session delivered:
- Perimeter repair (ZeroCountProp mult-weighted)
- P1/P2 declarations + D-069 design
- 5f-i complete (Rexpr_decomp + pieces 1/2/4/5)
- Piece 6 complete (digamma_diff_le)
Remaining: piece 3 + 5f-iii → ii′-3b/3c/6/7.
Total commits tonight: 9 (75172e6, f850d9a, 0cca091, d808f52, 1eeda9b, c97c3f1, c9c1362, b5e3f53, 6748b6e).
Session 035 closed cleanly (`6748b6e`). Good night — here's the final state:
## Session 035 summary (9 commits)
**The big one — perimeter integrity:**
- `ZeroCountProp` strengthened to the mult-weighted form (you approved) — the second ii′-1a-class encoding defect, found at the point of consumption. The declared Trudgian N(T) source counts with multiplicity; the encoding now matches. `one_le_zeroMult` bridge + both consumers adapted; full build green, 3 standard axioms only.
- Two new perimeter declarations (you approved): `ZeroCountProp2` (two-unit Trudgian count) + `NoLowZeros` (|γ| ≥ 14).
**Findings documented (D-069):**
- Finding 1: D-056's piece 2 uses one C₀(t) for a *two-unit* window — the honest two-unit Trudgian form makes the assembly fit the baked 10.5/48 constants with margin ~1.9.
- Finding 2 (ii′-6 repair map): H(T)'s near sum needs clearance coverage beyond the pigeonhole window (honest ≈ 7·Ĉ₀² vs baked 3·Ĉ₀²) — margin survives, crossover moves.
**5f-i + piece 6 COMPLETE** (LiTightR.lean, ~800 lines, zero warnings):
- `Rexpr_decomp` (six-piece reference-point decomposition), piece 1 (`dirichletC2_le_one` — integral machinery), piece 2 (`near_sum_refPoint_le`), pieces 4/5 (`one_div_diff_le`), piece 6 (`digamma_diff_le` ≤ 6/t — the sharp Lemma-D remainder turned out unnecessary).
## Next session
**Piece 3** (the far-sum interval machine — the biggest 5f piece) then **5f-iii** (assembly + pinch lemma + the capstone `logDeriv_riemannZeta_sub_nearZeros_le_tight`). Full piece map in STATE.md. Then ii′-3b → 3c → 6 → 7.
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[{"type":"thinking","thinking":"Session 035 fully closed. Let me give the user the final summary. The session delivered:\n- Perimeter repair (ZeroCountProp mult-weighted)\n- P1/P2 declarations + D-069 design\n- 5f-i complete (Rexpr_decomp + pieces 1/2/4/5)\n- Piece 6 complete (digamma_diff_le)\n\nRemaining: piece 3 + 5f-iii → ii′-3b/3c/6/7.\n\nTotal commits tonight: 9 (75172e6, f850d9a, 0cca091, d808f52, 1eeda9b, c97c3f1, c9c1362, b5e3f53, 6748b6e).","signature":""},{"type":"text","text":"Session 035 closed cleanly (`6748b6e`). Good night — here's the final state:\n\n## Session 035 summary (9 commits)\n\n**The big one — perimeter integrity:**\n- `ZeroCountProp` strengthened to the mult-weighted form (you approved) — the second ii′-1a-class encoding defect, found at the point of consumption. The declared Trudgian N(T) source counts with multiplicity; the encoding now matches. `one_le_zeroMult` bridge + both consumers adapted; full build green, 3 standard axioms only.\n- Two new perimeter declarations (you approved): `ZeroCountProp2` (two-unit Trudgian count) + `NoLowZeros` (|γ| ≥ 14).\n\n**Findings documented (D-069):**\n- Finding 1: D-056's piece 2 uses one C₀(t) for a *two-unit* window — the honest two-unit Trudgian form makes the assembly fit the baked 10.5/48 constants with margin ~1.9.\n- Finding 2 (ii′-6 repair map): H(T)'s near sum needs clearance coverage beyond the pigeonhole window (honest ≈ 7·Ĉ₀² vs baked 3·Ĉ₀²) — margin survives, crossover moves.\n\n**5f-i + piece 6 COMPLETE** (LiTightR.lean, ~800 lines, zero warnings):\n- `Rexpr_decomp` (six-piece reference-point decomposition), piece 1 (`dirichletC2_le_one` — integral machinery), piece 2 (`near_sum_refPoint_le`), pieces 4/5 (`one_div_diff_le`), piece 6 (`digamma_diff_le` ≤ 6/t — the sharp Lemma-D remainder turned out unnecessary).\n\n## Next session\n**Piece 3** (the far-sum interval machine — the biggest 5f piece) then **5f-iii** (assembly + pinch lemma + the capstone `logDeriv_riemannZeta_sub_nearZeros_le_tight`). Full piece map in STATE.md. Then ii′-3b → 3c → 6 → 7."}]