# Statement(s)
> [!NOTE] Statement 1 (Stabilizer is subgroup)
> Let $G$ be a group [[Group action|acting]] on set $X$. For all $x\in X$, the [[Stabilizer under Group Action|stabilizer]] of $x$ is a [[Subgroup|subgroup]] of $G$.
>
# Proof(s)
###### Proof of statement 1:
$\blacksquare$
# Application(s)
**Consequences**:
**Examples**:
# Reference(s)