Set of symbols
Deduction system
Zermelo-Fraenkel set theory
Binary cartesian set product
Binary relation
Cartesian product
Complex cartesian product
Real cartesian product
Euclidean real Cartesian product
Set of complex numbers
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}
» 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