Theorem absge0i

Description: Absolute value is nonnegative. (Contributed by NM, 2-Aug-1999)

	Ref	Expression
Hypothesis	absvalsqi.1	$$⊢A\in ℂ$$
Assertion	absge0i	$$⊢0\le \left|A\right|$$

Proof

Step	Hyp	Ref	Expression
1		absvalsqi.1	$$⊢A\in ℂ$$
2		absge0	$$⊢A\in ℂ\to 0\le \left|A\right|$$
3	1 2	ax-mp	$$⊢0\le \left|A\right|$$