# Category:Equality

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This category contains results about Equality.

Definitions specific to this category can be found in Definitions/Equality.

- $x = y$ means
**$x$ is the same object as $y$**, and is read**$x$ equals $y$**, or**$x$ is equal to $y$**.

- $x \ne y$ means
**$x$ is not the same object as $y$**, and is read**$x$ is not equal to $y$**.

The expression:

- $a = b$

means:

- $a$ and $b$ are names for the same object.

## Subcategories

This category has the following 5 subcategories, out of 5 total.

## Pages in category "Equality"

The following 15 pages are in this category, out of 15 total.

### E

- Equality is Equivalence Relation
- Equality is Reflexive
- Equality is Symmetric
- Equality is Transitive
- Equality of Algebraic Structures
- Equality of Cartesian Products
- Equality of Complex Numbers
- Equality of Ordered Pairs
- Equality of Ordered Tuples
- Equality of Rational Numbers
- Equality of Relations
- Equality of Vector Quantities