when opening a final cut pro X library backup is it safe to delete the original library file?

my main library was damaged. I could no longer open the project i was working on. If i did the whole program would shut down. After looking for a way to make it work i went into "file" then selected "open backup", this worked and I was able to now continue working from my new backup library file. The problem is now i'm running low on storage with two massive librarie files. I can see my original library weighs over 1 terabyte and the backup library weighs only 123GB. I want to delete the old library that I no longer need but I am not sure if it is safe to do so without affecting the backup library.