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theorem proved term proof

love_achieves_ground_state

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formal statement (Lean)

 246theorem love_achieves_ground_state (σ : ℝ) :
 247    pairCostAfterLove σ (-σ) = 0 := by

proof body

Term-mode proof.

 248  unfold pairCostAfterLove; simp [Real.cosh_zero]
 249
 250/-- **Theorem (Love Eliminates All Waste)**: For a balanced extraction pair,
 251    the ENTIRE system cost is pure thermodynamic waste that Love eliminates. -/

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