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theorem proved term proof

normalized_le_one

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formal statement (Lean)

  74theorem normalized_le_one (a : ℕ → ℝ) (n : ℕ) (h : 0 < a n) :
  75    normalized a n ≤ 1 := by

proof body

Term-mode proof.

  76  unfold normalized
  77  exact (div_le_one (runningMax_pos a n h)).mpr (runningMax_ge a n)
  78
  79/-- The normalized sequence achieves 1 at the running-max index. -/

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