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theorem proved term proof

residualFraction_lt_one_of_pos

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formal statement (Lean)

  61theorem residualFraction_lt_one_of_pos {n : ℕ} (h : 1 ≤ n) :
  62    residualFraction n < 1 := by

proof body

Term-mode proof.

  63  unfold residualFraction
  64  exact pow_lt_one₀ (le_of_lt reductionFactor_pos) reductionFactor_lt_one (by omega)
  65

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