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theorem proved term proof

jcost_unique_minimum

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formal statement (Lean)

  52theorem jcost_unique_minimum : ∀ x : ℝ, x > 0 → Jcost 1 ≤ Jcost x := by

proof body

Term-mode proof.

  53  intro x hx
  54  rw [Cost.Jcost_unit0]
  55  exact Cost.Jcost_nonneg hx
  56
  57/-- **THEOREM IC-005.3**: J-cost equals the squared-deviation formula.
  58    J(x) = (x-1)²/(2x) — this form makes the convexity explicit. -/

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