Theorem uzsscn2

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

	Ref	Expression
Hypothesis	uzsscn2.1	⊢ 𝑍 = ( ℤ≥ ‘ 𝑀 )
Assertion	uzsscn2	⊢ 𝑍 ⊆ ℂ

Proof

Step	Hyp	Ref	Expression
1		uzsscn2.1	⊢ 𝑍 = ( ℤ≥ ‘ 𝑀 )
2		uzsscn	⊢ ( ℤ≥ ‘ 𝑀 ) ⊆ ℂ
3	1 2	eqsstri	⊢ 𝑍 ⊆ ℂ