Theorem cjcl

Description: The conjugate of a complex number is a complex number (closure law). (Contributed by NM, 10-May-1999) (Revised by Mario Carneiro, 6-Nov-2013)

	Ref	Expression
Assertion	cjcl	|- ( A e. CC -> ( * ` A ) e. CC )

Proof

Step	Hyp	Ref	Expression
1		cjf	|- * : CC --> CC
2	1	ffvelcdmi	|- ( A e. CC -> ( * ` A ) e. CC )