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

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

Result R4511 on D5608: Euclidean complex function

Two complex numbers distinct iff difference distinct from zero

Formulation 0

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

Then \begin{equation} z \neq w \quad \iff \quad z - w \neq 0 \end{equation}