Theorem rpcn

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

	Ref	Expression
Assertion	rpcn	⊢ ( 𝐴 ∈ ℝ+ → 𝐴 ∈ ℂ )

Proof

Step	Hyp	Ref	Expression
1		rpre	⊢ ( 𝐴 ∈ ℝ+ → 𝐴 ∈ ℝ )
2	1	recnd	⊢ ( 𝐴 ∈ ℝ+ → 𝐴 ∈ ℂ )