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theorem proved tactic proof

criticalBand_not_overloaded

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formal statement (Lean)

 109theorem criticalBand_not_overloaded
 110    {rhoMin area demand : ℝ} (hArea : 0 < area)
 111    (h : InCriticalBand rhoMin area demand) :
 112    ¬ IsOverloaded area demand := by

proof body

Tactic-mode proof.

 113  unfold IsOverloaded
 114  have hSub : demand < bandwidth area := by
 115    simpa [IsSubcritical] using criticalBand_implies_subcritical hArea h
 116  exact not_le_of_gt hSub
 117
 118/-! ## §3. Semantic free energy and condensation gate -/
 119
 120/-- Query-level semantic free energy. -/

depends on (6)

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