President Trump addresses crowd at downtown Phoenix rally

President Donald Trump addressed a number of issues, during his rally Tuesday night at the Phoenix Convention Center in Downtown Phoenix.

Protesters were also in the area prior to and during the rally, and protests turned violent following the rally.

(All times listed below are based on Arizona time)

8:30 p.m.

President Donald Trump is going after Arizona's Republican Sens. Jeff Flake and John McCain at a Phoenix rally -- but coyly refusing to mention their names.

Trump says that after his well-received address Monday evening, he was told: "Please, please Mr. President, don't mention any names. So I won't."

Instead, Trump is bemoaning that the Senate was only "one vote away" from passing a health care overhaul. McCain, who is undergoing treatment for an aggressive form of brain cancer, voted against a Republican health care bill.

Trump is calling another unnamed senator "weak on borders, weak on crime." Trump has lashed out at Flake, a frequent critic, using the same language in the past.

Trump is describing his own restraint as "very presidential."

8:00 p.m.

President Donald Trump is threatening to shut down the federal government unless Congress provides funding for his promised border wall.

Trump tells a rally crowd in Phoenix, Arizona, that he has a message for "obstructionist" Democrats.

He says, "If we have to close down our government, we're building that wall."

Trump is also accusing Democrats of putting American security at risk for not supporting the proposal.

The wall was one of Trump's most popular campaign vows, prompting frequent rally chants of "Build that wall!" Trump had promised Mexico would pay for the wall, but Mexico has so far refused.

The House has passed a spending bill with funding for the border wall, but it faces an uncertain future in the Senate.

7:55 p.m.

President Donald Trump is signaling that he wants to grant a pardon to former Sheriff Joe Arpaio over his recent conviction in federal court.

Trump told a Phoenix crowd Tuesday that Arpaio is "going to be just fine" as he awaits sentencing on a misdemeanor contempt-of-court conviction stemming from his defiance of the courts.

There had been intense speculation in recent days that the president might issue a pardon for Arpaio, best known for his immigration crackdowns as the top lawman in metropolitan Phoenix. Trump says he "won't do it tonight" because he doesn't want to cause controversy.

Arpaio and Trump share similar views on immigration enforcement, and the lawman campaigned for Trump several times during the 2016 race.