Theorem chpcl

Description: Closure for the second Chebyshev function. (Contributed by Mario Carneiro, 7-Apr-2016)

	Ref	Expression
Assertion	chpcl	⊢ ( 𝐴 ∈ ℝ → ( ψ ‘ 𝐴 ) ∈ ℝ )

Proof

Step	Hyp	Ref	Expression
1		chpf	⊢ ψ : ℝ ⟶ ℝ
2	1	ffvelrni	⊢ ( 𝐴 ∈ ℝ → ( ψ ‘ 𝐴 ) ∈ ℝ )