[{"type":"text","text":"**Session 026 COMPLETE** — commits `0d9887a` (Lean) + `d5a77c6` (closure).\n\n## 1. `zeroMult(−2n) = 1` for all n ≥ 1 — done (the 5e-prep item)\n`LiTrivialZeros.lean` (~290 lines, 8 decls, audit clean: 3 standard axioms only):\n- **`gamma_mul_prod`** — the product-form Γ recurrence Γ(z)·∏_{j<n}(z+j) = Γ(z+n), by induction on `Gamma_add_one` (the multiplied form avoids all division side-conditions).\n- **The `HfunT n` cofactor** — 2·π^{−s/2}·Γ(s/2+n+1)/Q_n(s), analytic and nonzero at −2n (Q_n(−2n) = ∏_{j<n}(−n+j) ≠ 0; Γ(1) = 1).\n- **`zeroMult_neg_two_mul`** — ζ(s) = (s+2n)·(Λ(s)/HfunT n s) near −2n with the cofactor nonzero via Λ(−2n) = Λ(1+2n) = ΓR(1+2n)·ζ(1+2n) ≠ 0, following the ii′-4c pattern exactly.\n\nFull build GREEN (8762 jobs, root-imported).\n\n## 2. D-068 — ii′-5e design complete\nThe pre-build survey caught **two genuine problems in D-067 §6's sketch**, both recorded with fixes:\n- **C1 (fatal, fixed):** the claimed \"O((log R)²) by the dyadic split\" for the zero-series on circles is wrong — the naive annulus estimate gives O(R log R). The fix: split by *radial* distance ||s|−|ρ|| with the γ-gap needed only in the critical annulus [R±2], giving O((log R)³) — still comfortably o(R).\n- **C2:** the near-real-axis left-plane digamma bound is a separate build (5d's needs |im w| ≥ 2): recurrence + the 1-separated reciprocal sum Σ 1/|w+j| ≤ C·log(m+1) with dist(w, −ℕ) ≥ 1/4.\n\nSub-stage map 5e-i..v is pinned: γ-gap circles (×2-rescale trick, zero new pigeonhole) → near-axis digamma → series → F entire (principal-part splits; no removable-singularity theorem, no Hadamard) → capstone ∃ B identity.\n\n**Next (session 027):** ii′-5e-i — the γ-gap circles R_k ∈ [4k+5/2, 4k+3]."}]