Research-Stack/0-Core-Formalism/lean
allaun 248cf747bf proof(lean): close e8_levelset_density via σ₃(n) ≤ n⁴ divisor bound
- e8_levelset_density (T=N⁴): proven by showing E8LevelSet(N⁴,N) ⊇ [1,N].
  Key chain: σ₃(n) = ∑_{d|n} d³ ≤ card(div(n))·n³ ≤ n·n³ = n⁴ ≤ N⁴.
  card(div(n)) ≤ n from div(n) ⊆ Icc 1 n; then N/(log 2 N)² ≤ N ≤ card.
- sidon_weight_bound: one remaining sorry (ANALYTIC_OPEN — E₈ convolution
  identity summed over Sidon pairs; corrected LHS uses σ₃(a)·σ₃(b) products).
- §14 summary updated.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
2026-06-16 15:04:04 -05:00
..
conversions/hardware chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00
external/OTOM WIP: accumulated changes 2026-05-25 16:24:21 -05:00
LeanGPT Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00
Semantics proof(lean): close e8_levelset_density via σ₃(n) ≤ n⁴ divisor bound 2026-06-16 15:04:04 -05:00
singer-theorem-lean chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00
CHAIN_ALL_REVIEW_REPORT.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00