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	$$⊢N\in {\mathbb{Z}}_{\ge M}\to N\in ℂ$$

Proof

Step	Hyp	Ref	Expression
1		eluzelre	$$⊢N\in {\mathbb{Z}}_{\ge M}\to N\in ℝ$$
2	1	recnd	$$⊢N\in {\mathbb{Z}}_{\ge M}\to N\in ℂ$$