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theorem proved term proof

goldenDivision_ratio

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formal statement (Lean)

  47theorem goldenDivision_ratio : (1 - goldenDivision) / goldenDivision = phi - 1 := by

proof body

Term-mode proof.

  48  unfold goldenDivision
  49  have hphi_ne := phi_ne_zero
  50  have hinv_ne : phi⁻¹ ≠ 0 := inv_ne_zero hphi_ne
  51  rw [div_eq_iff hinv_ne]
  52  have : phi * phi⁻¹ = 1 := mul_inv_cancel₀ hphi_ne
  53  nlinarith [this]
  54

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