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Metamath Proof Explorer

Theorem chpcl

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

		Ref	Expression
	Assertion	chpcl	$⊢ A \in ℝ \to ψ (A) \in ℝ$

Step	Hyp	Ref	Expression
1		chpf	$⊢ ψ : ℝ ⟶ ℝ$
2	1	ffvelcdmi	$⊢ A \in ℝ \to ψ (A) \in ℝ$