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theorem proved term proof

aligned_beats_perturbed

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formal statement (Lean)

 143theorem aligned_beats_perturbed
 144    (costs : List ℝ) (hlen : 0 < costs.length)
 145    (hpos : ∀ c ∈ costs, 0 < c) :
 146    Jcost 1 < costs.sum := by

proof body

Term-mode proof.

 147  rw [Jcost_unit0]
 148  exact list_sum_pos costs hlen hpos
 149
 150/-! ## Part 4: Full Derivation Certificate -/
 151

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