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Metamath Proof Explorer

Theorem eluzelcn

Description: A member of an upper set of integers is a complex number. (Contributed by Glauco Siliprandi, 29-Jun-2017)

		Ref	Expression
	Assertion	eluzelcn	$⊢ N \in ℤ_{\geq M} \to N \in ℂ$

Step	Hyp	Ref	Expression
1		eluzelre	$⊢ N \in ℤ_{\geq M} \to N \in ℝ$
2	1	recnd	$⊢ N \in ℤ_{\geq M} \to N \in ℂ$