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def definition def or abbrev

constant_ratio

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formal statement (Lean)

  67def constant_ratio (K : ℕ → ℝ) (r : ℝ) : Prop :=

proof body

Definition body.

  68  ∀ ℓ : ℕ, K (ℓ + 1) = r * K ℓ
  69
  70/-- **KEY LEMMA**: Fibonacci recurrence + constant positive ratio → r² = r + 1.
  71
  72This is the rigorous replacement for the hand-wavy "self-similar cost" argument. -/

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