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lemma proved term proof

phi_pow_strictMono

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formal statement (Lean)

  65lemma phi_pow_strictMono {m n : ℕ} (hmn : m < n) : phi ^ m < phi ^ n := by

proof body

Term-mode proof.

  66  have hphi_pos : 0 < phi := phi_pos
  67  exact pow_lt_pow_right₀ one_lt_phi hmn
  68
  69/-- **J(φ^m) < J(φ^n) FOR m < n**. -/

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