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theorem proved tactic proof

phi5_fibonacci

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formal statement (Lean)

  34theorem phi5_fibonacci : phi ^ 5 = 5 * phi + 3 := by

proof body

Tactic-mode proof.

  35  have h2 := phi_sq_eq
  36  have h3 : phi ^ 3 = 2 * phi + 1 := by nlinarith
  37  have h4 : phi ^ 4 = 3 * phi + 2 := by nlinarith
  38  nlinarith
  39
  40/-- φ^8 = 21φ+13 (Fibonacci). -/

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depends on (2)

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