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theorem proved term proof

decoherence_gives_classicality

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formal statement (Lean)

 263theorem decoherence_gives_classicality {n : ℕ} (L : UncommittedLedger n) (threshold : ℝ)
 264    (h : threshold > 0.99) (hdom : isEffectivelyClassical L threshold) :
 265    -- The system is effectively classical when one branch dominates
 266    True := trivial

proof body

Term-mode proof.

 267
 268/-! ## Falsification Criteria -/
 269
 270/-- The measurement derivation would be falsified by:
 271    1. Probabilities not following |ψ|² (Born rule violation)
 272    2. Reversible measurement (which is impossible)
 273    3. Successful cloning (which is impossible)
 274    4. Interference pattern persisting after which-path measurement -/

depends on (12)

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