With Tuesday’s verdict on Mr. Libby — guilty on four of five counts, including perjury and obstruction of justice — Mr. Cheney’s critics, and even some of his supporters, said the vice president had been diminished.

“The trial has been death by 1,000 cuts for Cheney,” said Scott Reed, a Republican strategist. “It’s hurt him inside the administration. It’s hurt him with the Congress, and it’s hurt his stature around the world because it has shown a lot of the inner workings of the White House. It peeled the bark right off the way they operate.”

The legal question in the case was whether Mr. Libby lied to investigators and prosecutors looking into the leak of the name of a C.I.A. operative, Valerie Wilson, whose husband, the former ambassador Joseph C. Wilson IV, wrote an Op-Ed article in The New York Times accusing the White House of distorting pre-war intelligence. Mr. Cheney scrawled notes on a copy of the article, asking “did his wife send him on a junket?”

Now, Mr. Cheney faces a civil suit from Mr. Wilson.

The political question was whether Mr. Libby, the vice president’s former chief of staff, was “the fall guy” for his boss, in the words of Senator Charles E. Schumer, Democrat of New York. Though the defense introduced a note from Mr. Cheney worrying that Mr. Libby was being sacrificed to protect other White House officials, some say the vice president bears responsibility for the fate of his former aide, known as Scooter.

Image Vice President Dick Cheney with Senator Joseph I. Lieberman yesterday after the verdict in the Libby trial. Credit... Stephen Crowley/The New York Times

“It was clear that what Scooter was doing in the Wilson case was at Dick’s behest,” said Kenneth L. Adelman, a former Reagan administration official who has been close with both men but has broken with Mr. Cheney over the Iraq war. “That was clear. It was clear from Dick’s notes on the Op-Ed piece that he wanted to go get Wilson. And Scooter’s not that type. He’s not a vindictive person.”