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theorem proved term proof

shellRadius_ratio

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formal statement (Lean)

  32theorem shellRadius_ratio (k : ℕ) : shellRadius (k + 1) / shellRadius k = phi := by

proof body

Term-mode proof.

  33  unfold shellRadius
  34  have hpos : (0 : ℝ) < phi ^ k := pow_pos phi_pos k
  35  rw [div_eq_iff hpos.ne', pow_succ]
  36  ring
  37

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