Define "Potty Trained"

I have 3 kids whose parents informed me while signing up, that their children were "potty trained." In retrospect, I would agree that one of the three is potty trained. With the other two, I have learned the hard way that they need constant accompaniment, not to mention questioning every couple hours, "Do you need to go potty?" They are more at the stage I referred to at the time I went through it with my own kids as parent trained. As long as I remember to ask, we get through the day in a dry state. But the greatest part of all this is that nobody gets upset when there is an accident. They shout out from the bathroom, "I have wet panties." But when all goes well, there is constant cheering and carrying on. The babies clap along with us and everyone is happy.