Metamath Proof Explorer


Theorem replimd

Description: Construct a complex number from its real and imaginary parts. (Contributed by Mario Carneiro, 29-May-2016)

Ref Expression
Hypothesis recld.1 φA
Assertion replimd φA=A+iA

Proof

Step Hyp Ref Expression
1 recld.1 φA
2 replim AA=A+iA
3 1 2 syl φA=A+iA