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def definition def or abbrev

uniqueness_implies_stability

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formal statement (Lean)

  29def uniqueness_implies_stability : Prop :=

proof body

Definition body.

  30  ∀ cost : ℝ → ℝ, (∃! x, cost x = 0) →
  31    ¬ ∃ x y : ℝ, x ≠ y ∧ cost x = 0 ∧ cost y = 0
  32
  33/-- **E-002 Structural**: The RS inevitability theorem (F-002) establishes
  34    that the framework is unique. Inextricably, the vacuum (zero-defect
  35    state) is the unique minimum. Therefore the vacuum cannot be metastable
  36    — there is no alternative minimum to decay into. -/

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