Despite his protestation to the contrary, Trump himself described the order as “the ban” on Monday in a Twitter message. He also said that he would prioritize resettlement of Christian refugees, and the order contains an exemption for religious minorities facing persecution.

“Do you know if you were a Christian in Syria, it was impossible, at least very tough, to get into the United States?” Trump said Saturday. “If you were a Muslim, you could come in, but if you were a Christian, it was almost impossible.”

Trump adviser Rudy Giuliani, the former mayor of New York City, said Saturday that the policy grew out of Trump’s original proposal to shut down Muslim immigration. “When he first announced it, he said ‘Muslim ban,’” Giuliani said in a Fox News interview. “He called me up and said, ‘Put a commission together, show me the right way to do it legally.’”