What is the ruling if a husband takes his wife back after she informed him her 'Iddah ended, and subsequently she admits her prior statement about the 'Iddah ending was false?

Primary text

If a husband reports that his wife informed him her 'Iddah had ended, and he takes her back (*ruju'*), and then she admits the falsity of her statement regarding the 'Iddah ending and confirms her 'Iddah has not yet completed, the *ruju'* remains valid. This is because the husband did not admit to the termination of her 'Iddah; rather, he merely reported her statement, and since she retracted her report, her retraction is accepted based on the principle established above.