Theorem im0

Description: The imaginary part of zero. (Contributed by NM, 27-Jul-1999)

	Ref	Expression
Assertion	im0	|- ( Im ` 0 ) = 0

Proof

Step	Hyp	Ref	Expression
1		0re	|- 0 e. RR
2		reim0	|- ( 0 e. RR -> ( Im ` 0 ) = 0 )
3	1 2	ax-mp	|- ( Im ` 0 ) = 0