Yang Yi hadn't discussed the issue of nuclear bombs with Ivan in advance; he proposed it on the spot, and Ivan agreed to his request.
Actually, Ivan was sure to agree to Yang Yi's request for a nuclear bomb for three reasons.
First, Big Ivan is dead, and Ivan has taken the throne. But who knows if Ivan has truly taken control of Big Ivan's legacy? Does he have the capability to replace Big Ivan's position?
If Ivan cannot replace Big Ivan's position, which means he cannot control Big Ivan's nuclear bombs, then why would the United States keep Ivan around? If they don't promptly get rid of him, they're just waiting for trouble. Thus, Ivan must bring out a nuclear bomb, if only to prove that he has indeed mastered those nuclear bombs.