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Metamath Proof Explorer

Theorem rpxr

Description: A positive real is an extended real. (Contributed by Mario Carneiro, 21-Aug-2015)

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

Step	Hyp	Ref	Expression
1		rpre	$⊢ A \in ℝ^{+} \to A \in ℝ$
2	1	rexrd	$⊢ A \in ℝ^{+} \to A \in ℝ^{*}$