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	⊢ ( ℤ≥ ‘ 𝑀 ) ⊆ ℂ

Proof

Step	Hyp	Ref	Expression
1		uzssre	⊢ ( ℤ≥ ‘ 𝑀 ) ⊆ ℝ
2		ax-resscn	⊢ ℝ ⊆ ℂ
3	1 2	sstri	⊢ ( ℤ≥ ‘ 𝑀 ) ⊆ ℂ