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Metamath Proof Explorer

Theorem rexr

Description: A standard real is an extended real. (Contributed by NM, 14-Oct-2005)

		Ref	Expression
	Assertion	rexr	$⊢ A \in ℝ \to A \in ℝ^{*}$

Step	Hyp	Ref	Expression
1		ressxr	$⊢ ℝ \subseteq ℝ^{*}$
2	1	sseli	$⊢ A \in ℝ \to A \in ℝ^{*}$