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def definition def or abbrev

pureDefectPhaseData

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formal statement (Lean)

 126noncomputable def pureDefectPhaseData (sensor : DefectSensor) :
 127    (n : ℕ) → 0 < n → ContinuousPhaseData :=

proof body

Definition body.

 128  fun n hn =>
 129    { center := (sensor.realPart : ℂ)
 130      radius := 1
 131      radius_pos := by norm_num
 132      phase := fun θ => (-(sensor.charge : ℤ) : ℝ) * θ
 133      phase_continuous := by
 134        continuity
 135      charge := sensor.charge
 136      phase_winding := by
 137        simp [sub_eq_add_neg]
 138        ring }
 139
 140/-- A defect phase family with the correct charge but no regular perturbation. -/

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