lemma
proved
term proof
phi_sq
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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. -/