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theorem proved term proof

coherenceTimeRatio

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formal statement (Lean)

  31theorem coherenceTimeRatio (k : ℕ) :
  32    coherenceTimeAtRung (k + 1) / coherenceTimeAtRung k = phi := by

proof body

Term-mode proof.

  33  unfold coherenceTimeAtRung
  34  have hpos := pow_pos phi_pos k
  35  rw [pow_succ, div_eq_iff hpos.ne']
  36  ring
  37
  38/-- φ^8 = 21φ + 13 (Fibonacci identity). -/

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