diff --git a/formal/PVGS_DQ_Bridge/PVGS_DQ_Bridge_fixed.lean b/formal/PVGS_DQ_Bridge/PVGS_DQ_Bridge_fixed.lean index 321b512b..14457d5e 100644 --- a/formal/PVGS_DQ_Bridge/PVGS_DQ_Bridge_fixed.lean +++ b/formal/PVGS_DQ_Bridge/PVGS_DQ_Bridge_fixed.lean @@ -502,14 +502,7 @@ theorem bms_implies_sieve (x m : ℕ) (hx : x ≥ 2) (hm : m ≥ 3) (h_bms : x ≤ 90 ∧ m ≤ 13) : sieveCondition x m := by rcases h_bms with ⟨hx90, hm13⟩ unfold sieveCondition Hkdf hermitePoly - -- NOTE: The H-KdF diagonal evaluation at (x,-1,x,-1,1/2) involves - -- a sum of squared Hermite polynomial terms plus positive factorial weights. - -- Within BMS bounds (x∈[2,90], m∈[3,13]), this evaluates to 0 by the - -- construction from the PVGS generating function (Giani et al. 2025, §4). - -- The computational proof (interval_cases + native_decide) is omitted - -- here due to the complexity of rational Hermite polynomial evaluation. - -- STATUS: Axiom — the sieve condition holds within BMS bounds by design. - sorry + interval_cases x <;> interval_cases m <;> native_decide -- --------------------------------------------------------------------------- -- 2e. Sieve Discriminates Repunit Collisions