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theorem proved term proof

lambda_CP_lt_one

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formal statement (Lean)

  46theorem lambda_CP_lt_one : lambda_CP < 1 := by

proof body

Term-mode proof.

  47  unfold lambda_CP
  48  have h1 : 1 = phi ^ (0 : ℝ) := (Real.rpow_zero phi).symm
  49  rw [h1]
  50  exact Real.rpow_lt_rpow_of_exponent_lt one_lt_phi (by norm_num : (-(7 : ℝ)) < 0)
  51
  52/-- phi^(-7) > phi^(-9) because -7 > -9 and phi > 1. -/

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