Theorem imcli

Description: The imaginary part of a complex number is real (closure law). (Contributed by NM, 11-May-1999)

	Ref	Expression
Hypothesis	recl.1	|- A e. CC
Assertion	imcli	|- ( Im ` A ) e. RR

Proof

Step	Hyp	Ref	Expression
1		recl.1	|- A e. CC
2		imcl	|- ( A e. CC -> ( Im ` A ) e. RR )
3	1 2	ax-mp	|- ( Im ` A ) e. RR