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riemann_hypothesis_euler_conditional

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formal statement (Lean)

 943theorem riemann_hypothesis_euler_conditional (pkg : CostCoveringPackage)
 944    (hcover : ∀ sensor : DefectSensor, DefectTopologicalFloorCovered pkg sensor) :
 945    ∀ (σ₀ : ℝ) (hσ : 1/2 < σ₀) (hσ1 : σ₀ < 1) (m : ℤ) (hm : m ≠ 0),
 946    let sensor : DefectSensor := ⟨m, σ₀, ⟨hσ, hσ1⟩⟩

proof body

Term-mode proof.

 947    False :=
 948  fun σ₀ hσ hσ1 m hm => euler_rh_conditional pkg hcover ⟨m, σ₀, ⟨hσ, hσ1⟩⟩ hm
 949
 950/-! ### §11. Sampled-trace Euler carrier (axiom-free) -/
 951
 952/-- The Euler carrier packaged as a `BudgetedCarrier` using the sampled-trace
 953infrastructure from `SampledTrace.lean`. This uses the zero-winding certificate
 954from `EulerCarrierComplex.lean` instead of a synthetic zero-charge trace.
 955
 956The key difference from `eulerBudgetedCarrier` is that the zero-winding
 957property is derived from the carrier's holomorphy and nonvanishing
 958(via `eulerZeroWindingCert`), not assumed. -/

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