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theorem proved term proof

rung_slope_lt_log_two

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formal statement (Lean)

  82theorem rung_slope_lt_log_two : rung_slope < Real.log 2 := by

proof body

Term-mode proof.

  83  unfold rung_slope
  84  exact Real.log_lt_log phi_pos phi_lt_two
  85
  86/-- Per-rung frequency drop: `N(r+1) / N(r) = 1/φ`, equivalently
  87`ln(N(r+1)/N(r)) = -ln φ`. -/

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