Theorem uzsscn

Description: An upper set of integers is a subset of the complex numbers. (Contributed by Glauco Siliprandi, 5-Feb-2022)

	Ref	Expression
Assertion	uzsscn	$$⊢{\mathbb{Z}}_{\ge M}\subseteq ℂ$$

Proof

Step	Hyp	Ref	Expression
1		uzssre	$$⊢{\mathbb{Z}}_{\ge M}\subseteq ℝ$$
2		ax-resscn	$$⊢ℝ\subseteq ℂ$$
3	1 2	sstri	$$⊢{\mathbb{Z}}_{\ge M}\subseteq ℂ$$