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theorem proved tactic proof

weight_equals_born

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formal statement (Lean)

 185theorem weight_equals_born (rot : TwoBranchRotation) :
 186  pathWeight (pathFromRotation rot) = initialAmplitudeSquared rot := by

proof body

Tactic-mode proof.

 187  unfold pathWeight initialAmplitudeSquared
 188  rw [measurement_bridge_C_eq_2A]
 189  have h := Measurement.born_weight_from_rate rot
 190  have hWeight :
 191      Real.exp (-(2 * rateAction rot)) = initialAmplitudeSquared rot := by
 192    simpa [rateAction, Measurement.initialAmplitudeSquared] using h
 193  simpa using hWeight
 194
 195/-- Amplitude bridge modulus: |𝒜| = exp(-A) -/

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depends on (16)

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