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lemma proved term proof

phi_sq

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formal statement (Lean)

  50lemma phi_sq (φ := Real.goldenRatio) : φ * φ = φ + 1 := by

proof body

Term-mode proof.

  51  have h := Real.goldenRatio_mul_goldenRatio
  52  -- Mathlib states: phi * phi = phi + 1
  53  simpa [Real.goldenRatio, pow_two] using h
  54
  55/-- Numeric bounds for phi. -/

depends on (1)

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