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theorem proved tactic proof

phi8_fibonacci

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formal statement (Lean)

  41theorem phi8_fibonacci : phi ^ 8 = 21 * phi + 13 := by

proof body

Tactic-mode proof.

  42  have h2 := phi_sq_eq
  43  have h3 : phi ^ 3 = 2 * phi + 1 := by nlinarith
  44  have h4 : phi ^ 4 = 3 * phi + 2 := by nlinarith
  45  nlinarith [sq_nonneg (phi ^ 4)]
  46
  47/-- gap45 = D²(D+2) at D=3. -/

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