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theorem proved term proof

totient_pos

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formal statement (Lean)

 787theorem totient_pos {n : ℕ} (hn : 0 < n) : 0 < totient n := by

proof body

Term-mode proof.

 788  simp only [totient]
 789  exact Nat.totient_pos.mpr hn
 790
 791/-- φ(2^k) = 2^k - 2^(k-1) = 2^(k-1) for k ≥ 1 (concrete). -/

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