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Metamath Proof Explorer

Theorem im0

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

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

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