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Zermelo-Fraenkel set theory
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Complex number
Complex conjugate
Formulation 1
Let $z = (x, y) \in \mathbb{C}$ be a
D1207: Complex number
.
The
complex conjugate
of $z$ is the
D1207: Complex number
\begin{equation} \overline{z} : = (x, - y) \end{equation}
Results
»
R2413: Complex conjugate of real number
»
R3429: Complex conjugation is a multiplicative operation
»
R4706: Complex conjugate zero iff argument zero
»
R5297: Complex conjugate of a product of two complex numbers
»
R5299: Complex conjugate of a binary sum equals sum of complex conjugates
»
R5298: Complex conjugatation is an additive operation