▾ Set of symbols
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▾ Deduction system
▾ Theory
▾ Zermelo-Fraenkel set theory
▾ Set
▾ Binary cartesian set product
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▾ Unsigned basic binary operation
▾ Semimetric
▾ Metric
Trivial metric
Formulation 0
Let $X$ be a D11: Set.
The trivial metric on $X$ is the D992: Function \begin{equation} X \times X \to [0, \infty], \quad (x, y) \mapsto \begin{cases} 1, \quad & x \neq y \\ 0, \quad & x = y \end{cases} \end{equation}