Alternative definition of an active constraint

In constrained optimization, an active constraint is generally taken to mean one whose inequality sign can be changed into an equality sign without affecting the optimum. However, I would like to have a term to mean a constraint which would lead to a different result if it were not present.

Case in point:
$$
min x^2 + y^2 \
text{s.t.} x + y geq 0
$$
What should I call the constraint $x+ygeq0$ if I want to say that it wouldn’t have made a difference if it were not present?