Is a wife divorced if her husband swears an oath to her, saying, "If you lie, then you are divorced," and she then lies, knowing that telling the truth would not be in her favor?

If a man makes his wife's divorce conditional upon a certain event, the divorce takes effect when that condition is met, regardless of whether he intended to cause the divorce or merely intended to threaten, emphasize, or prevent. So, if a man tells his wife: "If you lie, then you are divorced," a divorce takes place if she lies, and there is no difference whether her lying was out of necessity or not.