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theorem proved term proof

avgPathLength_pos

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formal statement (Lean)

  67theorem avgPathLength_pos {N : ℝ} (h : 1 < N) : 0 < avgPathLength N := by

proof body

Term-mode proof.

  68  unfold avgPathLength
  69  have h_log_N_pos : 0 < Real.log N := Real.log_pos h
  70  have h_log_phi_pos : 0 < Real.log phi := Real.log_pos one_lt_phi
  71  exact div_pos h_log_N_pos h_log_phi_pos
  72
  73/-- Path length grows logarithmically in `N`. -/

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depends on (4)

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