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theorem proved term proof

horizon_adjacent_ratio

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formal statement (Lean)

  74theorem horizon_adjacent_ratio (k : ℕ) :
  75    horizonAtRung (k + 1) / horizonAtRung k = phi⁻¹ := by

proof body

Term-mode proof.

  76  rw [horizonAtRung_succ_ratio]
  77  have hpos : 0 < horizonAtRung k := horizonAtRung_pos k
  78  field_simp [hpos.ne']
  79

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