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Metamath Proof Explorer

Theorem rpre

Description: A positive real is a real. (Contributed by NM, 27-Oct-2007) (Proof shortened by Steven Nguyen, 8-Oct-2022)

		Ref	Expression
	Assertion	rpre	$⊢ A \in ℝ^{+} \to A \in ℝ$

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