go after each other

All eyes were on Haley and DeSantis, who were widely expected to go after each other in a bid to establish themselves as the top challenger to Trump in the Republican nominating contest.

So the fact that we go after each other the way we do, or have been forced to go after each other the way we do.

In some of the early seasons, we would try to pit them against each other—and they all stopped doing that—which I think is much better because it was hard to sit back and watch them go after each other and not try to get to the bottom of what was really happening.

On more than one occasion, I saw what looked like some members who might go after each other, including during the recent election of Speaker McCarthy.

"It is very much a part of war that you go after each other's supply lines," UK Armed Forces Minister James Heappey told the BBC.