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Metamath Proof Explorer

Theorem im1

Description: The imaginary part of one. (Contributed by Scott Fenton, 9-Jun-2006)

		Ref	Expression
	Assertion	im1	$⊢ ℑ (1) = 0$

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