ThmDex – An index of mathematical definitions, results, and conjectures.

Result R5244 on D372: Set of complex numbers
Subresult of R5245: Euclidean real number is zero iff equal to its reflection

Complex number is zero iff equal to its reflection

Formulation 0

Let $z \in \mathbb{C}$ be a D1207: Complex number.

Then \begin{equation} z = - z \quad \iff \quad z = \boldsymbol{0} \end{equation}

Subresults

▶	R4483: Real number is zero iff equal to its reflection