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theorem proved term proof

bandGap_ratio

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formal statement (Lean)

  31theorem bandGap_ratio (k : ℕ) : bandGap (k + 1) / bandGap k = phi := by

proof body

Term-mode proof.

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

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