A D11: Set $\mathcal{C} \subseteq \mathcal{P}(X)$ is an open cover for $X$ with respect to $T$ if and only if
(1) | $X \subseteq \cup \mathcal{C}$ (D74: Set cover) |
(2) | $\mathcal{C} \subseteq \mathcal{T}$ |
▼ | Set of symbols |
▼ | Alphabet |
▼ | Deduction system |
▼ | Theory |
▼ | Zermelo-Fraenkel set theory |
▼ | Set |
▼ | Collection of sets |
▼ | Set union |
▼ | Set cover |
(1) | $X \subseteq \cup \mathcal{C}$ (D74: Set cover) |
(2) | $\mathcal{C} \subseteq \mathcal{T}$ |
▶ | Closed set cover |