Theorem rexr

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

	Ref	Expression
Assertion	rexr	⊢ ( 𝐴 ∈ ℝ → 𝐴 ∈ ℝ* )

Proof

Step	Hyp	Ref	Expression
1		ressxr	⊢ ℝ ⊆ ℝ*
2	1	sseli	⊢ ( 𝐴 ∈ ℝ → 𝐴 ∈ ℝ* )