Theorem mucl

Description: Closure of the Möbius function. (Contributed by Mario Carneiro, 22-Sep-2014)

	Ref	Expression
Assertion	mucl	⊢ ( 𝐴 ∈ ℕ → ( μ ‘ 𝐴 ) ∈ ℤ )

Proof

Step	Hyp	Ref	Expression
1		muf	⊢ μ : ℕ ⟶ ℤ
2	1	ffvelrni	⊢ ( 𝐴 ∈ ℕ → ( μ ‘ 𝐴 ) ∈ ℤ )