Theorem cjmulge0i

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

	Ref	Expression
Hypothesis	recl.1	|- A e. CC
Assertion	cjmulge0i	|- 0 <_ ( A x. ( * ` A ) )

Proof

Step	Hyp	Ref	Expression
1		recl.1	|- A e. CC
2		cjmulge0	|- ( A e. CC -> 0 <_ ( A x. ( * ` A ) ) )
3	1 2	ax-mp	|- 0 <_ ( A x. ( * ` A ) )