What is the ruling on a husband's refusal to document a "you are divorced" repudiation for the first time after the 'iddah period has expired?

Since the 'iddah (definition) (waiting period) of the divorced woman has expired without the husband revoking the divorce, she is considered irrevocably divorced from him, and he cannot take her back except with a new marriage contract. Documenting the divorce in official circles does not affect its legal validity and rulings, but it is a great benefit that should not be neglected. If the husband refuses to document the divorce, the woman should refer the matter to the Sharia (definition) court.