Theorem rpxrd

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

	Ref	Expression
Hypothesis	rpred.1	$$⊢\phi \to A\in {ℝ}^{+}$$
Assertion	rpxrd	$$⊢\phi \to A\in {ℝ}^{*}$$

Proof

Step	Hyp	Ref	Expression
1		rpred.1	$$⊢\phi \to A\in {ℝ}^{+}$$
2	1	rpred	$$⊢\phi \to A\in ℝ$$
3	2	rexrd	$$⊢\phi \to A\in {ℝ}^{*}$$