>>52316601Yes, it is established, because that is the only thing that it could possibly, without any other possibilities provided.
As for paradox is popping up elsewhere in time, it’s called an experiment. When you create something new like a machine, you test to see if it works. It’s very logical to assume that the professor sent something to 100 years ago, specifically, observed the creation of the scarlet and violet books as a response, took that as proof that the time machine worked, and proceeded with attempting to bring them into the current day.