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Metamath Proof Explorer

Theorem uzssre

Description: An upper set of integers is a subset of the reals. (Contributed by Glauco Siliprandi, 23-Oct-2021)

		Ref	Expression
	Assertion	uzssre	$⊢ ℤ_{\geq M} \subseteq ℝ$

Step	Hyp	Ref	Expression
1		uzssz	$⊢ ℤ_{\geq M} \subseteq ℤ$
2		zssre	$⊢ ℤ \subseteq ℝ$
3	1 2	sstri	$⊢ ℤ_{\geq M} \subseteq ℝ$