Theorem cjmulge0i

Description: A complex number times its conjugate is nonnegative. (Contributed by NM, 28-May-1999)

	Ref	Expression
Hypothesis	recl.1	$$⊢A\in ℂ$$
Assertion	cjmulge0i	$$⊢0\le A\bar{A}$$

Proof

Step	Hyp	Ref	Expression
1		recl.1	$$⊢A\in ℂ$$
2		cjmulge0	$$⊢A\in ℂ\to 0\le A\bar{A}$$
3	1 2	ax-mp	$$⊢0\le A\bar{A}$$