Is lion sex incest? (Scientifically relevant question)?

I was watching The Lion King with my nephew, and I was thinking to myself, "Who is Nalas father? Is it Mufasa?" I then started thinking about real lion prides, and from my understanding, one alpha male usually has intercourse with all the females of the pride. So would it be safe to say that there is a lot of incest and inbreeding, or is there something I am missing?