![[../../00 Asset Bank/Pasted image 20250123172012.png|sepia]]
The [[Intersection]] is a [[Binary Operation]] between two [[Set|Sets]] $A,B$, denoted as $A \cap B$ is defined as the [[Set]] of all elements that are in both $A$ and $B$.
$\huge
A\cap B = \set{ x \mid x\in A \wedge x\in B}
$
The [[Set|Sets]] $A, B$ are disjoint if their [[Intersection]] is the [[Empty Set]], $A\cap B=\emptyset$
This [[Operation]] is [[Associative Property|Associative]] and [[Commutative Property|Commutative]] and has the [[Idempotent Property]].