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theorem proved term proof

phi_lt_16180340

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formal statement (Lean)

  78theorem phi_lt_16180340 : goldenRatio < (1.6180340 : ℝ) := by

proof body

Term-mode proof.

  79  unfold goldenRatio
  80  have h : sqrt 5 < (2.2360680 : ℝ) := sqrt5_lt_22360680
  81  linarith
  82
  83/-- Convenience: a bundled “tight enough” φ bound.
  84
  85This replaces the legacy `Numerics/Interval.lean` `phi_tight_bounds` lemma and is the
  86canonical bound used across the codebase going forward. -/

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