Yukiya Amano, the head of the International Atomic Energy Agency, said today it is very important for Iran to fully implement the agreement.
Iran's President Hassan Rouhani said Iran would abide by the deal if other nations do as well, and said IAEA reports should be "technical and impartial."
He also reiterated that Iran will carry out its commitments "until when the other sides remain loyal to their commencements," under the deal.
Iran later said it transferred 11 tons of heavy water to Oman.
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Earlier today Amano met Iran's nuclear chief Ali Akbar Salehi to discuss relations between the agency and Iran.
After the meeting Amano told reporters, "Full implementation by Iran on this commitment is very important for the future of (the deal)... A net gain from the verification point of view."
In response to any possible breach of the deal, he added that "Iran's hands are not tied and it has not burned all its bridges. We are ready to take any necessary action."
Today's meetings came after a recent vote by the US Congress to extend some sanctions against Iran, what it believes constitute a breach of the deal.
Responding to the vote Tuesday, Iran decided to draw up plans to build nuclear-powered ships, and on Friday called for a joint commission meeting with world powers on the nuclear deal.