Theorem recnd

Description: Deduction from real number to complex number. (Contributed by NM, 26-Oct-1999)

	Ref	Expression
Hypothesis	recnd.1	$$⊢\phi \to A\in ℝ$$
Assertion	recnd	$$⊢\phi \to A\in ℂ$$

Proof

Step	Hyp	Ref	Expression
1		recnd.1	$$⊢\phi \to A\in ℝ$$
2		recn	$$⊢A\in ℝ\to A\in ℂ$$
3	1 2	syl	$$⊢\phi \to A\in ℂ$$