ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Binary cartesian set product
Binary relation
Map
Operation
N-operation
Binary operation
Basic binary operation
Unsigned basic binary operation
Semimetric
Metric
Metric space
Definition D4475
Trivial metric space
Formulation 0
An D548: Ordered pair $M = (X, d)$ is a trivial metric space if and only if
(1) $X$ is a D11: Set
(2) $d$ is a D4473: Trivial metric on $X$