Importantly, the effect holds regardless of the response mappings (across hands).

Now came the most difficult moment, since for a time her warriors must hold their line regardless of insult or provocation.

It is a purely local criterion and must hold regardless of any such constraints.

I am told that the colors hold regardless of location.

But now I can look in the mirror and hold my head high, regardless of everything.

But he held on, regardless of pain or the peril of the drop.

But there is one important general point which holds regardless of these specific criticisms.

Note that the result holds regardless of your utility function.

In addition, the result holds regardless of your risk aversion.