Category:Definitions/Set Equality
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This category contains definitions related to Set Equality.
Related results can be found in Category:Set Equality.
Let $S$ and $T$ be sets.
Definition 1
$S$ and $T$ are equal if and only if they have the same elements:
- $S = T \iff \paren {\forall x: x \in S \iff x \in T}$
Definition 2
$S$ and $T$ are equal if and only if both:
- $S$ is a subset of $T$
and
- $T$ is a subset of $S$
Subcategories
This category has only the following subcategory.
C
Pages in category "Definitions/Set Equality"
The following 4 pages are in this category, out of 4 total.