Iran live updates: Trump says US is winning war, 'can leave right now'

President Donald Trump addressed the ongoing conflict with Iran at his rally in Kansas on Monday night.

Trump said the U.S. military is winning the conflict with Iran, suggesting that American action has prevented Tehran's acquisition of a nuclear weapon -- an alleged ambition that Iranian leaders have repeatedly denied.

"By the way, somebody said you could leave right now. It's true. We can leave right now. They're not going to have a nuclear weapon," Trump said, calling the Iranians a "rough group."

"We have the greatest military," Trump said. "We rebuilt it in my first term. And if you have any questions about that, just ask Venezuela or ask Iran."

-ABC News' Isabella Murray

Russia will not stop cooperating with Iran amid the conflict in the Middle East, Russian Foreign Minister Sergey Lavrov said Monday.

"Despite the difficult situation that has already been mentioned more than once, Russia does not intend to abandon its agreements with Iran in the economic and investment spheres," Lavrov said during a press briefing in Tehran, according to a readout from his office published by Russian state media.

Lavrov mentioned that Russian specialists are "gradually returning to the Bushehr nuclear power plant" in Iran, and that Russian engineers are expected to soon begin construction on the Rasht–Astara railway being developed jointly by Russia and Iran.

The Department of State’s Bureau of Consular Affairs warned Americans in the Middle East to "exercise heightened vigilance due to the complex security environment," saying Iran or its proxies could target Americans or U.S. interests "throughout the world."

"Iranian-supported Houthis have engaged in hostilities against Saudi Arabia, including attacks on civilian airports and other critical infrastructure resulting in civilian casualties and severe travel disruptions," the department said on Monday. "The hostilities have the potential to escalate rapidly beyond that immediate area."