Theorem rpxr

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

	Ref	Expression
Assertion	rpxr	⊢ ( 𝐴 ∈ ℝ+ → 𝐴 ∈ ℝ* )

Proof

Step	Hyp	Ref	Expression
1		rpre	⊢ ( 𝐴 ∈ ℝ+ → 𝐴 ∈ ℝ )
2	1	rexrd	⊢ ( 𝐴 ∈ ℝ+ → 𝐴 ∈ ℝ* )