Is the divorce signed by the brother in court, which states that "he divorced his wife three times in one session," considered one divorce or three, and is it permissible for him to take his wife back, bearing in mind that his signature was a procedure followed in the state?

Divorce is a right of the husband, which he exercises when needed, and neither the court nor anyone else may interfere in that. If the husband divorces his wife with a single pronouncement, that is what counts, and no consideration is given to any official papers he signed unless he intended thereby to issue three pronouncements. Writing down a divorce is considered an

allusion (kinayah) and does not effect divorce unless there is an intention to do so. So, if he did not intend to issue three pronouncements, then nothing is incumbent upon him, and the divorce that occurred is a revocable divorce, unless it was for a compensation or money, or it was the third pronouncement. The husband has the right to take his wife back if she is still within her waiting period ('iddah (definition)), and if her waiting period has expired, he can marry her again with a new contract and a new dower (mahr). As for a triple divorce, the most preponderant view is that it counts as a single divorce, unless the pronouncements were issued separately.