3 commits

Author	SHA1	Message	Date
allaun	707ae76ca1	feat(lean): phiInvQ16_mul_strict_lt_pos — proven strict contraction lemma ... - phiInvQ16_mul_strict_lt_pos: (phiInvQ16 * a).val < a.val for a.val > 0 Proved via case analysis: a.val=1 (norm_num), a.val=2 (norm_num), a.val≥3 (omega + nlinarith) Uses Int.ediv_eq_of_eq_mul_right with ring for the k*65536/65536 = k identity - phiInvQ16_lt_one: 40504 < 65536 (norm_num with ofRawInt saturation check) - phiInvQ16_nonneg: phiInvQ16.toInt ≥ 0 (norm_num with saturation check) - half_mul_add_self_non_sat fully proved (exact Q16_16 identity) - contractedPhaseMerge_diagonal_non_sat fully proved - h_clamp proof simplified with not_lt.mpr + simp - Convergence theorems remain stated (2 sorries) pending well-founded induction Build: 3309 jobs, 0 errors	2026-07-07 02:24:26 -05:00
allaun	bc70fd7e4f	fix(lean): ContractedCrossStep — add phiInvQ16_lt_one lemma, allZeroState def, build passes ... - phiInvQ16_lt_one proven: 40504 < 65536 (norm_num + omega) - allZeroState defined: all-zero strand state (distinct from BraidEigensolid.zeroState) - half_mul_add_self_non_sat fully proved: half * (a + a) = a under non-sat - contractedPhaseMerge_diagonal_non_sat fully proved: merge(z,z) = φ⁻¹·z - Convergence theorems stated (2 sorries): require well-founded induction - Full SilverSight build: 3307 jobs, 0 errors	2026-07-07 02:24:26 -05:00
allaun	da4ea434e7	feat(lean): ContractedCrossStep — genuine φ⁻¹ contraction for braid crossing dynamics ... The real crossStep uses PhaseVec.add (additive doubling: zᵢⱼ = zᵢ + zⱼ), which grows until Q16_16 saturation. ContractedCrossStep fixes this by replacing the merge with φ⁻¹ · (half · (p + q)), which contracts on the diagonal: merge(z,z) = φ⁻¹ · z (exact under non-saturation). Key results: - half_mul_add_self_non_sat: half * (a + a) = a (exact Q16_16 identity when a + a doesn't overflow) - contractedPhaseMerge_diagonal_non_sat: merge contracts by φ⁻¹ - Jitter also contracted by φ⁻¹ to prevent saturation - #eval witnesses confirm φ⁻¹ contraction and zero-state fixedness Convergence theorems stated with proof sketches; full proofs require Q16_16 inequality lemmas and well-founded induction (TODO). Build: 3309 jobs, 0 errors	2026-07-07 02:24:26 -05:00