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- e8_singer_improvement: proven via Singer set as direct witness; (119/120)^k ≤ 1 by pow_le_one₀, bound follows from mul_le_of_le_one_right. - erdos30_e8_conditional: proven via interval_sidon_exists (Singer's theorem bridge); C=1/4, Nat.sqrt ↔ Real.sqrt bridge via nlinarith on squared terms. - sidon_weight_bound: restated — LHS corrected from σ₃(a+b) sums to σ₃(a)·σ₃(b) products over unordered pairs (original was INVALID_STATEMENT; E₈ convolution identity delivers products, not values at pair-sums). Remains ANALYTIC_OPEN. - e8_levelset_density: restated — T fixed to N^4 (fixed T refuted by e8_levelset_density_fails; σ₃(n) ≤ n·n³ = n^4 ≤ N^4 for n ≤ N). Fixed base typo Nat.log N → Nat.log 2 N. Remains ANALYTIC_OPEN sorry. - §14 summary updated with proven theorems and restatement notes. - Add merkle_tensegrity_load_equation_generator.py to 4-Infrastructure/shim/ (required by cad_force_probe_experiment_matrix.py import). Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com> |
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| .. | ||
| conversions/hardware | ||
| external/OTOM | ||
| LeanGPT | ||
| Semantics | ||
| singer-theorem-lean | ||
| CHAIN_ALL_REVIEW_REPORT.md | ||