Research-Stack/0-Core-Formalism/lean
allaun 2d7d9bc2b8 proof(lean): close e8_singer_improvement and erdos30_e8_conditional; restate two invalid sorries
- 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>
2026-06-16 14:50:02 -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LeanGPT Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00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_singer_improvement and erdos30_e8_conditional; restate two invalid sorries 2026-06-16 14:50:02 -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