Most particularly, Rouhani warned that if Trump walks away from the deal, it will undermine U.S. credibility on the world stage.
Rouhani spoke a day after U.S. President Donald Trump delivered an attack on Iran during his United Nations address, referring to the nuclear deal as an "embarrassment" and accusing Iran of exporting "violence, bloodshed and chaos".
"I think if you read between the lines, he made some very general phrases but not specifically backed them up with the evidence".
But earlier this year, the USA moved the goalposts when Congress introduced legislation that would require Iran to limit other activities.
"It has turned a wealthy country with a rich history and culture into an economically depleted rogue state whose chief exports are violence, bloodshed and chaos", he said, repeating a litany of oft-spoken US complaints about Iran.
"Clearly, what the Iranians try to do is make their president look like the good guy", Bays said, adding that the word moderation was repeated throughout Rouhani's speech.
Under the agreement between Iran and six major powers - Britain, China, France, Germany, Russia and the United States - the Iranian government agreed to restrict its nuclear programme in return for western countries loosening economic sanctions. "The world will have lost an opportunity", he said.
"It unifies the North Koreans against the USA, and its boosts Kim Jong Un because they feel the U.S.is threatening North Korea and Kim Jong Un is protecting them", Richardson said.
The U.S.is set to decide in October whether to recertify Iran's compliance with the deal, which was signed by the U.S., the European Union, China and Russian Federation.
"Taking a decisive position against Trump is just the start and what is strategically important is that the US should witness more painful responses in the actions, behavior, and decisions that Iran will take in the next few months", he said.
"It's not ideal, but I think we should retain that", he said.
The two sides discussed the latest developments about the 2015 nuclear deal between Tehran and world powers, officially known as the Joint Comprehensive Plan of Action.
He described the nuclear deal as an "embarrassment" to the United States. "Now that the USA has fully displayed its nature, the government should use all its options to defend the Iranian nation's interests".
Zarif, who had a friendly, collegial relationship with former Secretary of State John Kerry while they negotiated the nuclear deal, was quick to denounce Trump's speech. "It may suit a 5-year-old; it doesn't suit the United States".
Critics of the deal, including Israeli Prime Minister Benjamin Netanyahu, worry that, once the main restrictions on Iran's nuclear program expire in 10 to 15 years, Tehran will be in a position to quickly develop an atomic weapon, if it wishes. During his first address to the United Nations General Assembly on Tuesday he labeled the deal "one of the worst and most one-sided transactions the United States has ever entered into". He added that it would be "pity" if the agreement is destroyed by "rogue" newcomers of the global politics.
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