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 e. CC
Assertion	replimi	|- A = ( ( Re ` A ) + ( _i x. ( Im ` A ) ) )

Proof

Step	Hyp	Ref	Expression
1		recl.1	|- A e. CC
2		replim	|- ( A e. CC -> A = ( ( Re ` A ) + ( _i x. ( Im ` A ) ) ) )
3	1 2	ax-mp	|- A = ( ( Re ` A ) + ( _i x. ( Im ` A ) ) )