# Category:Class Intersection

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This category contains results about **Class Intersection**.

Definitions specific to this category can be found in Definitions/Class Intersection.

Let $A$ and $B$ be two classes.

The **(class) intersection** $A \cap B$ of $A$ and $B$ is defined as the class of all sets $x$ such that $x \in A$ and $x \in B$:

- $x \in A \cap B \iff x \in A \land x \in B$

or:

- $A \cap B = \set {x: x \in A \land x \in B}$

## Subcategories

This category has only the following subcategory.

## Pages in category "Class Intersection"

The following 11 pages are in this category, out of 11 total.

### C

### I

- Intersection of Class and Set is Set
- Intersection of Class Exists and is Unique
- Intersection of Class is Subset of Intersection of Subclass
- Intersection of Doubleton
- Intersection of Empty Class
- Intersection of Empty Set/Class Theory
- Intersection of Non-Empty Class is Set
- Intersection with Subclass is Subclass