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Zermelo-Fraenkel set theory
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Set
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Subset
Superset
Formulation 0
Let $E$ be a
D11: Set
.
A
D11: Set
$X$ is a
superset
of $E$ if and only if \begin{equation} \forall \, x \in E : x \in X \end{equation}
Also known as
Ambient set
Child definitions
»
D955: Proper superset
Results
»
R3935: Superset iff equal to union with subset