Theorem im0

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

	Ref	Expression
Assertion	im0	⊢ ( ℑ ‘ 0 ) = 0

Proof

Step	Hyp	Ref	Expression
1		0re	⊢ 0 ∈ ℝ
2		reim0	⊢ ( 0 ∈ ℝ → ( ℑ ‘ 0 ) = 0 )
3	1 2	ax-mp	⊢ ( ℑ ‘ 0 ) = 0