Gary JohnsonGary Earl JohnsonAmash won't rule out Libertarian challenge to Trump Buzz grows Amash will challenge Trump as a Libertarian Potential GOP primary challenger: Trump's 'contempt for the American people' behind possible bid MORE on Thursday said Sen. Ted CruzRafael (Ted) Edward CruzHow to reduce Europe's dependence on Russian energy Cruz calls for 'every penny' of El Chapo's criminal enterprise to be used for Trump's wall after sentencing Conservatives defend Chris Pratt for wearing 'Don't Tread On Me' T-shirt MORE (R-Texas) essentially called on people to vote for the Libertarian Party nominee during his GOP convention speech.

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"Well, he did say to vote for Gary Johnson, didn't he?" Johnson said Thursday on CNN.

"And that was 'vote your conscience,' " he said with a laugh.

Cruz declined to endorse Donald TrumpDonald John TrumpUS-Saudi Arabia policy needs a dose of 'realpolitik' Trump talks to Swedish leader about rapper A$AP Rocky, offers to vouch for his bail Matt Gaetz ahead of Mueller hearing: 'We are going to reelect the president' MORE for president on Wednesday night while speaking at the Republican National Convention in Cleveland, telling the crowd instead, "vote your conscious." His decision stirred controversy and drew loud jeers from the crowd. 

Cruz also said during the speech that people need to vote for a candidate who will uphold the Constitution.

Johnson said he would "certainly" uphold the Constitution as president.

"We are a country governed by laws, and the heart of those laws are the Constitution," Johnson said.

"And Donald Trump, wasn't he saying that he's going to look at making it easier to sue the media — First Amendment, what's that? First Amendment, that's in the Constitution of the United States."