ThmDex – An index of mathematical definitions, results, and conjectures.
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▼ Zermelo-Fraenkel set theory
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Definition D74
Set cover
Formulation 0
Let $X$ be a D11: Set.
A D11: Set $\mathcal{C}$ is a cover for $X$ if and only if \begin{equation} X \subseteq \cup \mathcal{C} \end{equation}
Formulation 1
Let $X$ be a D11: Set.
A D11: Set $\mathcal{C}$ is a cover for $X$ if and only if \begin{equation} X \subseteq \bigcup_{C \in \mathcal{C}} C \end{equation}
Children
▶ D441: Open set cover
▶ D75: Set subcover