Is it considered a divorce if the husband said to his wife, "You are not my wife if you wrote the letter," and she replied, "Okay," with conjugal life continuing for ten years after this incident?

A man's statement to his wife, "You are not my wife," is an equivocal expression that can imply divorce or something else. If he did not intend divorce by it, then it does not occur. If he did intend it, but the wife denied the occurrence of the condition upon which it was made contingent, she is not divorced. However, some scholars have held that divorce becomes obligatory due to doubt about the existence of the contingent condition, such as when divorce is made contingent on a matter whose truthfulness or falsehood is unknown. If a revocable divorce occurred, the return (to the marital relationship) has been accomplished by the husband's cohabitation with his wife during her waiting period (iddah).