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Metamath Proof Explorer

Theorem chtcl

Description: Real closure of the Chebyshev function. (Contributed by Mario Carneiro, 15-Sep-2014)

		Ref	Expression
	Assertion	chtcl	$⊢ A \in ℝ \to θ (A) \in ℝ$

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