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A negated relation symbol indicating that one set is not a subset of another set in set theory.

\nsubseteq image

Examples

Showing a set is not a subset

{1,2,3}{1,2}\{1, 2, 3\} \nsubseteq \{1, 2\}
\{1, 2, 3\} \nsubseteq \{1, 2\}

Comparing number sets

RQ{π}\mathbb{R} \nsubseteq \mathbb{Q} \cup \{\pi\}
\mathbb{R} \nsubseteq \mathbb{Q} \cup \{\pi\}

Vector space relationship

V1W since vV1 but vWV_1 \nsubseteq W \text{ since } v \in V_1 \text{ but } v \notin W
V_1 \nsubseteq W \text{ since } v \in V_1 \text{ but } v \notin W
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