Category:Definitions/Subsets
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This category contains definitions related to Subsets.
Related results can be found in Category:Subsets.
Let $S$ and $T$ be sets.
$S$ is a subset of $T$ if and only if all of the elements of $S$ are also elements of $T$.
This is denoted:
- $S \subseteq T$
That is:
- $S \subseteq T \iff \forall x: \paren {x \in S \implies x \in T}$
If the elements of $S$ are not all also elements of $T$, then $S$ is not a subset of $T$:
- $S \nsubseteq T$ means $\neg \paren {S \subseteq T}$
Subcategories
This category has the following 7 subcategories, out of 7 total.
Pages in category "Definitions/Subsets"
The following 19 pages are in this category, out of 19 total.