Is there a symbol used to say "is well ordered by?"

Question

For example, we know that $\Bbb N$ is well-ordered by $<$. Is there a standard way of representing this using some notation?

Answer 1

In general it is common to denote any partial order by symbols like $<$, $\leq$ or $\prec$ or $\preccurlyeq$. None of these are used exclusively to denote total orders, though.

Also, it is good practice to use words rather than symbols when explaining something. Symbols and notation are only useful in order to make formulas intelligible - too much notation hinder understanding.