ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F10434 on R244: Convergent sequence is Cauchy
F10434
Formulation 0
Let $M = (X, \mathcal{T}_d, d)$ be a D1107: Metric space such that
(i) $x : \mathbb{N} \to X$ is a D336: Convergent sequence in $M$
Then $x$ is a D65: Cauchy sequence in $M$.