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theorem proved tactic proof

deltaBound_small

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formal statement (Lean)

  43theorem deltaBound_small : deltaBound < 0.1 := by

proof body

Tactic-mode proof.

  44  unfold deltaBound
  45  have h5 : phi ^ 5 = 5 * phi + 3 := phi5_eq
  46  rw [h5]
  47  have h_phi_gt : (1.61 : ℝ) < phi := phi_gt_onePointSixOne
  48  have h_denom : (11.05 : ℝ) < 5 * phi + 3 := by linarith
  49  have h_denom_pos : (0 : ℝ) < 5 * phi + 3 := by linarith
  50  rw [div_lt_iff₀ h_denom_pos]
  51  nlinarith
  52

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