Category:Examples of Subsets
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This category contains examples of Subset.
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 $\neg \paren {S \subseteq T}$
Pages in category "Examples of Subsets"
The following 11 pages are in this category, out of 11 total.
S
- Subset/Examples
- Subset/Examples/Abstract Example 1
- Subset/Examples/Abstract Example 2
- Subset/Examples/Abstract Example 3
- Subset/Examples/British People are Subset of People
- Subset/Examples/Even Numbers form Subset of Integers
- Subset/Examples/Even Numbers form Subset of Real Numbers
- Subset/Examples/Initial Segment is Subset of Integers
- Subset/Examples/Integers are Subset of Real Numbers
- Subset/Examples/Romeo and Juliet
- Subset/Examples/Subset of Alphabet