Is a divorce effective if the husband pronounces it in absentia without documenting it in court, and what should the wife do?

If a husband utters a divorce (talaq) while being fully aware and of his own free will, then his divorce takes effect. However, if the husband denies uttering the divorce and there is no evidence (two just witnesses), then the husband's word is accepted because the default is the continuation of the marriage. If the divorce is less than three pronouncements, the husband has the right to take his wife back (raj'a) before the iddah (waiting period) expires, without requiring her consent or knowledge. In summary, proof of divorce requires evidence, and if it is proven, it does not prevent the husband from continuing marital life if this divorce was the first or second.