Theorem rpxr

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

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

Proof

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