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theorem proved term proof

omega_apply

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formal statement (Lean)

  87theorem omega_apply {n : ℕ} : omega n = n.primeFactorsList.dedup.length := by

proof body

Term-mode proof.

  88  simp only [omega, ArithmeticFunction.cardDistinctFactors_apply]
  89
  90/-- For squarefree `n ≠ 0`, `Ω(n) = ω(n)` (all exponents are 1). -/

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