Partially order

Partially Ordered Set, or POSet is a mathematical construct that relates objects of interests in terms of a single kind of inclusive or containment relationship. In mathematics, the following notations are often used to define the ordering relations between $A$ and $B$.

$A>B$, $A\subset B$, $A\subseteq B$, $A\sqsubset B$, $A\succ B$

Similarly, for inclusive or equal to the two objects of interests, the mathematical expressions can be written this way:

$A\geq B$, $A\subseteq B$, Failed to parse (unknown function "\subseteqeq"): {\displaystyle A \subseteqeq B}
, $A\sqsubseteq B$, $A\succeq B$