Theorem rexri

Description: A standard real is an extended real (inference form.) (Contributed by David Moews, 28-Feb-2017)

	Ref	Expression
Hypothesis	rexri.1	⊢ 𝐴 ∈ ℝ
Assertion	rexri	⊢ 𝐴 ∈ ℝ*

Proof

Step	Hyp	Ref	Expression
1		rexri.1	⊢ 𝐴 ∈ ℝ
2		rexr	⊢ ( 𝐴 ∈ ℝ → 𝐴 ∈ ℝ* )
3	1 2	ax-mp	⊢ 𝐴 ∈ ℝ*