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theorem proved term proof

bandgapRatio

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formal statement (Lean)

  29theorem bandgapRatio (k : ℕ) :
  30    bandgapFrequency (k + 1) / bandgapFrequency k = phi := by

proof body

Term-mode proof.

  31  unfold bandgapFrequency
  32  have hpos := pow_pos phi_pos k
  33  rw [pow_succ, div_eq_iff hpos.ne']
  34  ring
  35

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