I'm a licensed family law attorney and I believe I can provide assistance here. However, your question is a bit unclear.
If I'm understanding it correctly, you are asking if an annulment that took place in Mexico would be recognized in the U.S. Is this correct?
The simple answer here is yes, the annulment would be recognized by the U.S. In general, any legal action taken in another country will be recognized by the U.S.
However, this is a pretty unusual situation and, I would suggest, could be handled in a variety of ways. You didn't state your connection to this matter. If you wanted to uphold the annulment, I would suggest doing nothing, simply let the foreign annulment control. Conversely, if you wanted to overturn the annulment, you could object to the legal action and, potentially, have it overturned.
Generally, yes, the legal action must conform with U.S. law. However, for that to happen, someone would need to object to what took place....this is why I stated in the earlier post that, "if you wanted to overturn the annulment" it would be possible to do so.
In other words, if nothing is done, the annulment would be considered legally sound. Conversely, if it were objected to, a court would examine the situation and make a determination as to whether it was handled in an appropriate, legally sound, manner. If it were not, then it would be set aside.
What it comes down to here is whether anyone is going to object. If the first wife objects, she would likely be able to set it aside. As you've alluded to, this is so because neither party was a resident of Mexico and therefore shouldn't have been entitled to obtain relief in that country.
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