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theorem proved term proof

defectSensorCirclePoint_re

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formal statement (Lean)

 385theorem defectSensorCirclePoint_re (sensor : DefectSensor) (r θ : ℝ) :
 386    (defectSensorCirclePoint sensor r θ).re = sensor.realPart + r * Real.cos θ := by

proof body

Term-mode proof.

 387  rw [defectSensorCirclePoint, defectSensorCenter, circleMap]
 388  simp [Complex.mul_re, Complex.exp_ofReal_mul_I_re]
 389
 390/-- Any circle around the sensor center whose radius stays inside the strip still
 391lies in the open half-plane `Re(s) > 1/2`. -/

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