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Metamath Proof Explorer

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	$⊢ Z = ℤ_{\geq M}$
	Assertion	uzsscn2	$⊢ Z \subseteq ℂ$

Step	Hyp	Ref	Expression
1		uzsscn2.1	$⊢ Z = ℤ_{\geq M}$
2		uzsscn	$⊢ ℤ_{\geq M} \subseteq ℂ$
3	1 2	eqsstri	$⊢ Z \subseteq ℂ$