\begin{definition}[Definition:Ordering/Notation]
Symbols used to denote a general ordering relation are usually variants on $\preceq$, $\le$ and so on.
On {{ProofWiki}}, to denote a general ordering relation it is recommended to use $\preceq$ and its variants:
:$\preccurlyeq$
:$\curlyeqprec$
To denote the conventional ordering relation in the context of numbers, the symbol $\le$ is to be used, or its variants:
:$\leqslant$
:$\leqq$
:$\eqslantless$
The symbol $\subseteq$ is universally reserved for the subset relation.
:$a \preceq b$
can be read as:
:'''$a$ precedes, or is the same as, $b$'''.
Similarly:
:$a \preceq b$
can be read as:
:'''$b$ succeeds, or is the same as, $a$'''.
If, for two elements $a, b \in S$, it is not the case that $a \preceq b$, then the symbols $a \npreceq b$ and $b \nsucceq a$ can be used.
\end{definition}