Theorem abscli

Description: Real closure of absolute value. (Contributed by NM, 2-Aug-1999)

	Ref	Expression
Hypothesis	absvalsqi.1	$$⊢A\in ℂ$$
Assertion	abscli	$$⊢\left|A\right|\in ℝ$$

Proof

Step	Hyp	Ref	Expression
1		absvalsqi.1	$$⊢A\in ℂ$$
2		abscl	$$⊢A\in ℂ\to \left|A\right|\in ℝ$$
3	1 2	ax-mp	$$⊢\left|A\right|\in ℝ$$