This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem replimi

Description: Construct a complex number from its real and imaginary parts. (Contributed by NM, 1-Oct-1999)

		Ref	Expression
	Hypothesis	recl.1	$⊢ A \in ℂ$
	Assertion	replimi	$⊢ A = ℜ (A) + i ℑ (A)$

Step	Hyp	Ref	Expression
1		recl.1	$⊢ A \in ℂ$
2		replim	$⊢ A \in ℂ \to A = ℜ (A) + i ℑ (A)$
3	1 2	ax-mp	$⊢ A = ℜ (A) + i ℑ (A)$