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structure definition def or abbrev

EulerTraceAdmissible

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formal statement (Lean)

 100structure EulerTraceAdmissible (sensor : DefectSensor) : Prop where
 101  carrier_compatible : ∃ (carrier : RegularCarrier),
 102    carrier.radius = sensor.realPart - 1/2 ∧ 0 < carrier.radius
 103  carrier_nonvanishing : ∀ σ, 1/2 < σ → carrierValue σ ≠ 0
 104  carrier_deriv_bounded : ∀ σ, 1/2 < σ → 0 < carrierDerivBound σ
 105
 106/-- Every `DefectSensor` has an admissible Euler trace.
 107
 108This follows directly from the Euler instantiation certificate:
 109`sensor_carrier_compatible`, `carrier_nonvanishing`, and
 110`carrierDerivBound_pos`. -/

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