# Category:Cardinality

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This category contains results about Cardinality.

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

Two sets (either **finite** or **infinite**) which are **equivalent** are said to have the same **cardinality**.

The **cardinality** of a set $S$ is written $\card S$.

## Subcategories

This category has the following 10 subcategories, out of 10 total.

### C

- Cardinality of Power Set (5 P)
- Comparable Sets (1 P)

### E

- Examples of Cardinality (7 P)

### S

- Smaller Set (empty)

## Pages in category "Cardinality"

The following 31 pages are in this category, out of 31 total.

### C

- Cardinality of Cartesian Product
- Cardinality of Complement
- Cardinality of Empty Set
- Cardinality of Extensions of Function on Subset of Finite Set
- Cardinality of Finite Set is Well-Defined
- Cardinality of Image of Injection
- Cardinality of Image of Mapping not greater than Cardinality of Domain
- Cardinality of Mapping
- Cardinality of Power Set of Finite Set
- Cardinality of Power Set of Natural Numbers Equals Cardinality of Real Numbers
- Cardinality of Proper Subset of Finite Set
- Cardinality of Set Difference
- Cardinality of Set Difference with Subset
- Cardinality of Set less than Cardinality of Power Set
- Cardinality of Set of All Mappings
- Cardinality of Set of Bijections
- Cardinality of Set of Endorelations
- Cardinality of Set of Injections
- Cardinality of Set of Relations
- Cardinality of Set Union
- Cardinality of Singleton
- Cardinality of Subset of Finite Set
- Cardinality of Surjection
- Cardinality of Union not greater than Product