Negation of a Relational Operator

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I read in a paper a definition like this:

Given $\Sigma=\{\neq,=, >,<,\leq,\geq \}$, we define a constraint $v\ op \ w$ with $v,w \in \mathbb{R}$ and $op \in \Sigma$. Moreover, we indicate by $\neg (v\ op \ w)$ the constraint in which $op$ is replaced by its negation.

(I have synthesized the definition)

Now, the question is: is well-defined to say a negation of a relational operator?