This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem rexrd

Description: A standard real is an extended real. (Contributed by Mario Carneiro, 28-May-2016)

		Ref	Expression
	Hypothesis	rexrd.1	$⊢ φ \to A \in ℝ$
	Assertion	rexrd	$⊢ φ \to A \in ℝ^{*}$

Step	Hyp	Ref	Expression
1		rexrd.1	$⊢ φ \to A \in ℝ$
2		ressxr	$⊢ ℝ \subseteq ℝ^{*}$
3	2 1	sselid	$⊢ φ \to A \in ℝ^{*}$