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lemma proved tactic proof

phi_lt_1_7

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formal statement (Lean)

  90lemma phi_lt_1_7 : phi < 1.7 := by

proof body

Tactic-mode proof.

  91  unfold phi
  92  norm_num
  93  have : Real.sqrt 5 < 2.4 := by
  94    rw [← Real.sqrt_sq (by norm_num : (0:ℝ)≤2.4)]
  95    apply Real.sqrt_lt_sqrt (by norm_num) (by norm_num)
  96  linarith
  97
  98/-- φ¹⁰ > 100. -/

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