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theorem proved tactic proof

log_phi_gt_048

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formal statement (Lean)

  55theorem log_phi_gt_048 : (0.48 : ℝ) < Real.log ((1 + Real.sqrt 5) / 2) := by

proof body

Tactic-mode proof.

  56  have h := log_phi_in_interval
  57  -- logPhiInterval.lo = 481/1000 > 0.48
  58  have h1 : (0.48 : ℝ) < (481 / 1000 : ℚ) := by norm_num
  59  exact lt_of_lt_of_le h1 h.1
  60
  61/-- Example: Prove log(φ) < 0.49 (using interval hi = 482/1000 = 0.482) -/

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