Theorem im0

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

	Ref	Expression
Assertion	im0	$$⊢\Im \left(0\right)=0$$

Proof

Step	Hyp	Ref	Expression
1		0re	$$⊢0\in ℝ$$
2		reim0	$$⊢0\in ℝ\to \Im \left(0\right)=0$$
3	1 2	ax-mp	$$⊢\Im \left(0\right)=0$$