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theorem proved term proof

born_rule_normalized

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formal statement (Lean)

 157theorem born_rule_normalized {n : ℕ} (ψ : QuantumState n) :
 158    (Finset.univ.sum fun i => measurementProbability ψ i) = 1 := by

proof body

Term-mode proof.

 159  unfold measurementProbability
 160  exact ψ.normalized
 161
 162/-! ## Ledger Commitment = Wavefunction Collapse -/
 163
 164/-- The norm of a normalized amplitude is 1.
 165    |z / |z|| = |z| / |z| = 1 for z ≠ 0. -/

used by (3)

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depends on (22)

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