Is the suspended divorce formula in writing, with the words "Consider yourself divorced," considered a divorce? And is the father's statement to his daughter, "In the law of our Lord, your mother is divorced from me, but I live with her so she can raise you all," considered a divorce?

If a man says to his wife: "Consider yourself divorced," then the divorce takes effect if he intended it thereby, otherwise it does not. As for a father's statement to his daughter: "Your mother, according to the law of our Lord, is divorced from me, but I live with her to raise you," this likely reports a previous divorce, which is more consistent with his statement: "but I live with her to raise you." In this case, no new divorce takes place. And if the previous divorce had already occurred and the waiting period (iddah) had ended, then no new divorce occurs because she is already irrevocably separated from him.