Theorem rpcn

Description: A positive real is a complex number. (Contributed by NM, 11-Nov-2008)

	Ref	Expression
Assertion	rpcn	$$⊢A\in {ℝ}^{+}\to A\in ℂ$$

Proof

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